Answer:
Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together
Step-by-step explanation:
Marty has $73. He spent $15 on paper to make paper balls He spent $19 on a book on how to break erasers off pencils. He earned $7 for cleaning up spilt juice. How much money does he have left?
SOMEONE HELP ME PLEASE
Simplify The Radical Expession
Answer:
\(\sqrt[4]{324n^4} =\)\(\sqrt[4]{4*81n^4} =\)\(\sqrt[4]{4*3^4n^4} =\)\(3|n|\sqrt[4]{4}\)Correct choice is B
Judi is making a rope ladder. She uses 1/2 yard of for each step. How many yards of rope can she make for step?
The number of yards of rope she can make for the step is 3 yards
How to determine the number of yards of rope she can make for the step?From the question, we have the following parameters that can be used in our computation:
Yards of rope per step = 1/2 yards per step
Total number of steps = 6 steps
The number of yards of rope she can make for the step can then be calculated using the following equation
The number of yards of rope = Total number of steps * Yards of rope per step
Substitute the known values in the above equation, so, we have the following representation
The number of yards of rope = 1/2 * 6
Evaluate
The number of yards of rope = 3
Hence, the number of yards of rope is 3
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Complete question
Judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope?
HELP I WILL GIVE BRAINLIEST IF RIGHT
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I might be wrong but i'm pretty sure it's right
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
Use a technique of integration or a substitution to find an explicit solution of the given differential equation. dy/dx = sin(root(x))/root(y)
Finding an explicit solution for the differential equation \(dy/dx = sin(\sqrt x)/\sqrt y\) is not possible using standard techniques of integration or substitution.
A separable differential equation is one in which the variables x and y can be separated, meaning that the equation can be written in the form f(x) dx = g(y) dy. This type of equation can be easily solved by integrating both sides and finding the constant of integration. However, in the equation dy/dx = sin(√x)/√y, the sin function makes it a nonlinear differential equation, meaning that it cannot be separated into a product of two functions, one of x and one of y.
This type of differential equation cannot be solved using standard methods and requires more advanced techniques, such as numerical methods or perturbation methods. Numerical methods, such as Runge-Kutta or finite differences, involve approximating the solution at discrete points and then using interpolation to find the solution over a continuous interval. Perturbation methods involve making a series expansion of the solution and finding the coefficients of the series recursively.
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whoever is going to answer this, make sure you use the box method! the picture is above incase you need to look at it
The multiplication of the numbers 0.3 and 1.4 will be 0.42.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division
The given numbers are 0.3 and 1.4. The numbers will be multiplied as,
1.4
x 0.3
_____
0.42
The value of the multiplication is equal to 0.42.
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re write the decimal 47.4 as a mixed number
Answer:
474 / 10
Step-by-step explanation:
You are welcome
Answer: 237/5
Step-by-step explanation:
An $800 bond earns 4% simple annual interest how much will the bond earn in the interest after 6 years?
As a result of answering the given question, we may state that As a result, after 6 years, the bond will earn $192 in interest.
what is interest ?Divide the principal by the interest rate, period, and other factors to get simple interest. The formula in marketing is simple: return = principal + interest + hours. This method makes it easiest to calculate interest. Interest is frequently expressed as a percentage of the main balance. He will only pay half of the entire interest if he borrows $100 from a friend and agrees to repay it with 5% interest. $100 (0.05) = $5. You must pay interest when you borrow money, and you must charge interest when you lend it. Interest is often calculated as an annual percentage of the loan balance. This proportion is known as the loan's interest.
To compute simple interest, use the following formula:
The interest rate = (Principal x Rate x Time)
where:
The principal is the bond's initial amount, which is $800 in this example.
The annual interest rate is 4%, or 0.04 in decimal form.
Time is the number of years, which in this case is six.
When we enter these values into the formula, we get:
(800 x 0.04 x 6) = $192 in interest
As a result, after 6 years, the bond will earn $192 in interest.
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On the average, five smokers pass acertain street corners every ten minutes, what is the probability that during a given 10 minutes the number of smokers passing will be A. 6 or fewer B. 7 or more C. Exactly 8
Answer:
The answer will be A. 6 or fewer.
The probability that during a given 10 minutes the number of smokers passing will be 6 or fewer.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Example
Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
Terminology of Probability TheoryThe following terms in probability help in a better understanding of the concepts of probability.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
There are 5 smokers who passes by in every 10 minutes.
So, the probability that during a given 10 minutes the number of smokers passing will be approx 5 or less.
i.e., 6 or fewer.
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Please help please please help me help please
Answer:
slope = -4
Step-by-step explanation:
rise/ run = 4/1, but slope always minus, so slope = -4
HELP MEEEE PLEASEEEEEEEEEEEEEE
Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Answer:
a = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = a
Leg b = 3
Hypotenuse c = 5
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 3² = 5²[Subtraction Property of Equality] Isolate a term: a² = 5² - 3²Evaluate exponents: a² = 25 - 9Subtract: a² = 16[Equality Property] Isolate a: a = ±4Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.
∴ a = 4
an employee at the bank notices an abandoned account with a balance of $360. the bank charges a monthly fee of $8 to maintain an account. the equation for this situation is y = 360 - 8x, where x is the number of months, and y is the balance in dollars. Part A: Find the y-intercept Part B: Find the x-interceptPart C: Interpret the meaning of the x- and y-intercept in terms of the problem.
Given:
There are given the equation:
\(y=360-8x\)Explanation:
(A):
To find the y-intercept, we need to put 0 for x and solve the equation for the value of y.
So,
From the function:
\(\begin{gathered} y=360-8(0) \\ y=360 \end{gathered}\)Hence, the y-intercept is shown below:
\((0,360)\)(B):
To find the x-intercept, we need to put 0 for y and find the values for x:
So,
\(\begin{gathered} y=360-8x \\ 0=360-8x \\ 8x=360 \\ x=\frac{360}{8} \\ x=45 \end{gathered}\)Hence, the value x-intercept is shown below:
\((45,0)\)(C):
The interpret the meaning of the x- and the y-intercept is shown below:
In the given context, the y-intercept, and x-intercept, mean x = 0 and y = 0 and also refers to the starting values.
For a time-based exercise, this will be the value when we started talking we read or when we started tracking the time and its related changes.
Nikola buys a bouquet of 8 sunflowers for $18.What is the cost of 1 sunflower?
each sunflower is $2.25. please mark brainliest and have a great day.
Need help fast will give brainiest
Answers:
\(1.\ \angle GMT\)
\(2.\ GT\ and\ TM\)
\(3.\ \angle MGT\)
\(4.\ SAS\)
\(5.\ SAS\)
\(6.\ SSS\)
Muscle weight. The weight M of the muscles in a
human is directly proportional to the person’s body
weight W.
a) It is known that a person who weighs 200 lb has 80 lb
of muscles. Find an equation of variation expressing
M as a function of W.
b) Express the variation constant as a percent, and
interpret the resulting equation.
c) What is the muscle weight of a person who weighs
120 lb?
Answer
JCJames C.Calculus 1 / AB1 month, 3 weeks agoThe weight M of a person's muscles is proportional to the person's body weight W. a) It is known that a person weighing 200 lb has 50 lb of muscles. Find an equation expressing M as a function of W. b) Express the slope as a percentage, and interpret the resulting equation. c) What is the muscle weight of a person weighing 220 lb? a) The equation expressing M as a function of W is M=nothing. (Use integers or decimals for any numbers in the expression.) b) Select the correct choice below and fill in the answer box to complete your choice. A.Body weight is nothing% of muscle weight. (Simplify your answer.) B.Muscle weight is nothing% of body weight. (Simplify your answer.) c) The muscle weight of a person weighing 220 lb is nothing lb. (Simplify your answer.)
a) angle of line of From a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three figure bearings? A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point. (b) How far is the boy now from the start- ing point? A boy runs 200 m on a bearing of 230°.
a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$
\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}
100 sin 35° = 80 sin 55°=57.73 mT
herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.
Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.
To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.
Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.
Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.
To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.
(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus
:$$c^2 = a^2 + b^2$$
where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$
c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$
Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.
Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$
Therefore, the bearing of the boy's current position from the starting point is N51°E.
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How many wood can a wood chuck chuck?
Answer: As much wood as a woodchuck could chuck, If a woodchuck could chuck wood.
Step-by-step explanation: As much wood as a woodchuck could chuck, If a woodchuck could chuck wood.
Answer:
wood, that's how much a wood chuck can chuck
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
Answer:
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Step-by-step explanation:
The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.
The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.
total length = 32 m
1 m = 100 cm
32 m = ?
cross multiply
total length in cm = 32 × 100 = 3200 cm
The first customer bought 120 cm
The second customer bought 14 m so let convert again.
1 m = 100 cm
14 m = ?
cross multiply
the second customer length in cm = 14 × 100 = 1400 cm
The amount left in the shop will be as follows
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
A puppy and a kitten are 180 feet apart when they see each other. The puppy can run at a speed of 25 feet per second, while the kitten can run at a speed of 20 feet per second.
How long will it take the kitten to catch up to the puppy if the puppy runs away from the kitten, and the kitten simultaneously starts chasing the puppy?
Answer:
an infinitely long time
Step-by-step explanation:
You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.
NeverThe kitten runs slower than the puppy, so can never catch up to it.
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Ivan is trying to drink more water, so he has been keeping a log of how much water he drinks. Ivan drank 100 ounces of water two days ago. Yesterday, he drank 86.1% more than that amount. How much water did he drink yesterday? Round your answer to the nearest tenth.
Ivan drank 186.1 ounces of water yesterday
How to find the amount of waterInformation from the problem
100 ounces of water two days ago
Yesterday, he drank 86.1% more than that amount
The statement implies that Ivan drank 100 ounces + 86.1%
86.1% = 0.861 to add this we solve as follows
= 100 ounces * 1.861
= 186.1 ounces
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Help me ASAP! Giving brainliest so pleaseeeeeee help me!
Answer:
the answer is 2, 5, 9 :))) hope i helped
Slove each system by graphing
16-+4y+5x=0
-48-12y=-9x
The system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.
We are given a system of equations as:
16 + 4 y + 5 x = 0 … (1)
- 48 - 12 y = - 9 x
- 16 - 4 y = - 9 x
9 x - 16 = 4 y … (2)
Substitute the equation (2) in the equation (1), we get that:
16 + 9 x - 16 + 5 x = 0
14 x = 0
x = 0
4 y = 9 ( 0 ) - 16
4 y = - 16
y = - 16 / 4
y = - 4
Therefore, we get that, the system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.
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Find the values of the variables
Answer:
\(x = 7\)
\(y =16\)
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
\(y - 4 = x + 5\)
\(2x + 5 = x + 12\)
Collect like terms
\(2x-x=12 - 5\)
\(x = 7\)
We have: \(y - 4 = x + 5\)
Substitute \(x = 7\)
\(y - 4 = 7+5\)
\(y - 4 = 12\)
So:
\(y = 12+4\)
\(y =16\)
What is the cardinal number of the set containing all negative integers greater than −8?
Answer: positive 7
Step-by-step explanation:
Cardinal number of the set containing all negative integers greater than −8 is 7.
What are cardinal number?In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.
Now the given set is all negative integers greater than -8.
Let S be the set,so
S = {-7,-6,-5,-4,-3,-2,-1}
now to find the cardinality, we see that set S has 7 elements.
Cardinality of Set S is 7.
Hence, cardinal number of the set containing all negative integers greater than −8 is 7.
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Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230. Find the probability that next year there will be no snowfall in that town on January 1.
1. 0.770
2. 4.348
3. 0.299
4. 1.230
The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.
Now, WE get;
the probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 1 - P (snowfall)
P (no snowfall) = 1 - 0.230
P (no snowfall) = 0.770
Thus, The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
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1 Which triangle appears to be an obtuse
triangle?
C
B
D
Answer:D you can tell it’s much wider and it’s not at a 90 degree or less
Step-by-step explanation:
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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a triangular prism (like a box of toblerone) of mass m, whose two ends are equilateral triangles parallel to the xy plane with side 2a, is centered on the origin with its axis along the z axis. find its moment of inertia for rotation about the z axis. without doing any integrals write down and explain its two products of inertia for rotation about the z axis.
The moment of inertia for rotation about the z axis is \(I & =\frac{a^2 M}{3}\).
A triangular prism of mass m, whose two ends are equilateral triangles.
Two ends are equal.
The xy plane with side 2a, is centered on the origin with its axis along the z axis.
Find the moment of inertia for rotation the z-axis.
It is divide into 4 triangles with side 'a' k one side is 3cm.
\($$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$\)
It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.
Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.
\($$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$\)
\($$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$\)
⇒ Now, by using the \($I_{\text {Big }}=I$\)
⇒\(I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\\)
⇒\(4 I & =I+a^2 m\)
⇒\(4 I-I & =a^2 m \\\)
⇒\(3 I & =a^2 M . \\\)
⇒\(I \quad & =\frac{a^2 M}{3}\)
Therefore, the moment of inertia is \(I & =\frac{a^2 M}{3}\).
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BRAINLIEST to whoever shows work the best
Answer: The value of x is 9.
Step-by-step explanation: n a regular hexagon, all interior angles have the same measure.
Since a hexagon has six sides, the sum of its interior angles is given by the formula:
Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°
Since all interior angles of a regular hexagon have the same measure, we can find the measure of each angle by dividing the sum by the number of angles:
Measure of each angle = Sum of interior angles / Number of angles = 720° / 6 = 120°
We are given that one of the angles in the hexagon is (11x + 21)°. Setting this equal to 120° and solving for x, we get:
11x + 21 = 120
11x = 99
x = 9
Therefore, the value of x is 9.