Answer:
Step-by-step explanation:
Triangle LMN is similar to Triangle OMP, so you can write a proportion (that is two ratios, or fractions, equal to each other)
LM is to OM as LN is to OP
the equation looks like this:
LM/OM = LN/OP
Fill in the numbers you know
28/10 = 26/OP
Cross multiply and solve for OP
26*10 = 28*OP
260 =28*OP
Divide both sides by 28
260/28 = OP
9.3 = OP
2) Choose the letter of the equation that best represents the problem. *
A meteorologist measured the average rainfall received in Cities A and B. Both cities received
11inches of rainfall in total. While City A received x inches of rain, City B experienced three times
the amount of rainfall than City A.
Answer: x + 3x = 11
Step-by-step explanation:
Two cities A and B
Both cities receive 11 inches of rainfall in total
Amount of Rainfall in inches received by city A = x
Amount of Rainfall in inches received by city B = 3x
Therefore given the details above, total rainfall is best expressed using the equation ;
Rainfall in city A + Rainfall in city B = 11 inches
x + 3x = 11
HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH,
which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of
rectangle EFGH?
Answer:
57.2 units^2
Step-by-step explanation:
The coordinates provided form a parallelogram, not a rectangle. See the attached image for a diagram of EFGH. The area of a parallelogram is given by:
Area = (Base) x (Height)
The attachment explains an approach of using right triangles to find the base and height of the parallelogram.
I'm not confident this was the best approach, so I hope someone would comment if a simpler solution is available.
Solve for xxx. Your answer must be simplified. 7>x/4
Answer:
28>x
Step-by-step explanation:
7>x/4
remove the denominator by multiplying both sides by 4
4×7>x/4×4
28>x
who envented 0 name the person
Answer:
Brahmagupta invented the number 0
Step-by-step explanation:
Answer:
Brahmagupta
Step-by-step explanation:
A storm is expected to hit 11 km in every direction from a small town. What is the area that the storm will affect? (/2)
The storm is expected to affect an area of approximately 484 square kilometers.
To calculate the area that the storm will affect, we can use the formula for the area of a circle, which is πr² (pi times the radius squared). If the storm is expected to hit 11 km in every direction from the small town, then the radius of the affected area is 11 km.
Substituting the radius value into the formula, we get:
π(11 km)² = π(121 km²) ≈ 380.1327 km²
However, since the storm is expected to affect the area in every direction, we need to multiply the calculated area by 4 to get the total area that the storm will affect.
4 x 380.1327 km² ≈ 1520.5308 km²
Therefore, the storm is expected to affect an area of approximately 1520.5308 square kilometers, or 484 square kilometers rounded to the nearest whole number.
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Pham is saving money to buy new headphones. The headphones cost $200, but she has saved only 45% so far. How much more does Pham need to save to buy the headphones?
please help giving brainlest it’s due in a few minutes (i have to show work so if you can please send an example)
cmon y’all..:(
Answer:
she needs $110
Step-by-step explanation:
Just multiply 200 by 0.45 to get 90 then subtract 90 from 200
PLEASE HELP ME
what is the missing step in this
Answer:
Step-by-step explanation:
I can't read this well. Is it (x-y)^2+ (x^2+2+y^2)?
Answer:
Step-by-step explanation:
\((x - y) ^{2}\) + (\(x^{2}\) + 2xy + \(y^{2}\))
(x - y) (x - y) + (\(x^{2}\) + 2xy + \(y^{2}\))
\(x^{2}\) + \(y^{2}\) - xy -xy + (\(x^{2}\) + 2xy + \(y^{2}\))
\(x^{2}\) + \(y^{2}\) -2xy + (\(x^{2}\) + 2xy + \(y^{2}\))
\(x^{2}\) + \(y^{2}\) -2xy + \(x^{2}\) + 2xy + \(y^{2}\)
\(x^{2}\) + \(y^{2}\) + \(x^{2}\) + \(y^{2}\)
\(2x^{2}\) + \(2y^{2}\)
2(\(x^{2}\) + \(y^{2}\) )
hope this helps!
x= 5/6v+ 7Solve for v
x = (5/6v) + 7
Solve for v
(5/6v) = x - 7
5 = (x -7)(6v)
6v = 5/(x-7)
v = 5/(6 (x-7))
ayuda xfa, es para hoy
Answer:
Y = 2x:
x: y:
4 8
1 2
0 0
-1 -2
-4 -8
Y= 3-x
y:
-1
2
3
4
7
Step-by-step explanation:
Can I please have brainliest?
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, represents the distance from a star to the Sun. Using a technique called “stellar parallax,” astronomers determined θ is 0.00001389 degrees.
How far away is the star from the Sun in astronomical units?Show your reasoning.
Answer:
4125000Au
Step-by-step explanation:
my teacher just went over this for our test
The distance between the star and the sun is 4124966.128 AU and this can be determined by using the trigonometric function.
Given :
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. The image, represents the distance from a star to the Sun. Using a technique called “stellar parallax,” astronomers determined θ is 0.00001389 degrees.The following steps can be used in order to determine the distance between the star and the Sun in astronomical units:
Step 1 - The trigonometric function can be used in order to determine the distance between the star and the Sun in astronomical units.
Step 2 - The sine function can be used to determine the distance.
\(\rm sin\theta=\dfrac{P}{H}\)
where P is the perpendicular and H is the Hypotenuse.
Step 3 - Substitute the known terms in the above expression.
\(\rm sin(0.00001389)=\dfrac{1}{d}\)
Step 4 - Simplify the above expression.
d = 4124966.128
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A matrix a is given. Determine if the system ax = b (where x and b have the appropriate number of components) has a solution for all choices of b.
If the rank of matrix A is equal to the number of columns of A, and the rank of matrix A is equal to the rank of the augmented matrix [A|b], then the system Ax = b will have a unique solution for all choices of b. Otherwise, the system Ax = b will not have a unique solution for all choices of b.
To determine if the system ax = b has a solution for all choices of b, we need to look at the rank of the matrix A and the rank of the matrix formed by appending the vector b to the matrix A.
The rank of a matrix is the number of linearly independent rows or columns in the matrix. If the rank of matrix A is equal to the number of columns in A, then matrix A is full rank and the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the number of columns in A, then matrix A is not full rank, and the system Ax = b will not have a unique solution for all choices of b.
If the rank of matrix A is equal to the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will not have a unique solution for all choices of b.
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Figure ABCD is a kite. Kite A B C D is shown. Sides A B and B C are congruent. The length of A B is 14. Sides C D and A D are congruent. The length of C D is 22. What is the length of line segment BC
The length of line segment BC in this particular kite is 14 units, which is equal to the length of AB.
In the given kite ABCD, we know that sides AB and BC are congruent, and the length of AB is 14 units. Additionally, sides CD and AD are congruent, and the length of CD is 22 units.
To find the length of BC, we can use the properties of a kite. Since AB and BC are congruent, we can conclude that BC is also 14 units long.
This is because a kite has two pairs of congruent adjacent sides. Therefore, the length of line segment BC in this particular kite is 14 units, which is equal to the length of AB.
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Answer:
The length of line segment BC in this particular kite is 14 units, which is equal to the length of AB.
Step-by-step explanation:
just took test
determine the area and perimeter
Answer:
The area is 1152, the perimeter is 198.358.
Step-by-step explanation:
The area of a rhombus is half the product of two diagonals:
\(S = \frac{(24)(96)}{2} = 1152 \)
The perimeter is the sum of all edges:
\(P = 7 + 7 + 92.179 + 92.179 = 198.358\)
A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width of the baby pool. How much water will the medium pool hold? A. 1045 ft3 B. 2812 ft3 C. 2920 ft3 D. 3328 ft3
Answer:
\(D.\ 3328\ ft^3\)
Step-by-step explanation:
Given
Volume of baby pool = 52ft³
Required
Determine the volume of the medium pool
Volume of a cylinder is calculated as:
\(V = \pi r^2h\)
Hence, the volume of the baby pool is:
\(\pi r^2h = 52\)
where r and h are the radius and height of the baby pool
Represent the height and radius of the medium pool as H and R
From the given parameters in the question
\(H = 4 * h\) and \(R = 4 * r\)
\(H = 4 h\) and \(R = 4 r\)
The volume of the medium cylinder is calculated as
\(Volume = \pi R^2H\)
Substitute 4h for H and 4r for R
\(Volume = \pi (4r)^2(4h)\)
Open bracket
\(Volume = \pi (4r) * (4r) * (4h)\)
\(Volume = \pi 16r^2 * (4h)\)
\(Volume = \pi 16r^2 * 4h\)
Collect like terms
\(Volume = \pi r^2 * h * 4 * 16\)
\(Volume = \pi r^2 h * 64\)
Recall that \(\pi r^2h = 52\)
So, the expression becomes
\(Volume = 52 * 64\)
\(Volume = 3328\)
Hence, the medium pool can hold \(3328ft^3\) of water
Help pleaseee
find the area of the figure.
Answer:144 in.
Step-by-step explanation:
Put each line into slope-intercept form.
1. 2y = 2x - 2
2. x+y=9.
1: y=x-1
2: y=-x+9
I need to write at least 20 characters so here’s a sentence you just read
Solve, write your answer in a+bi form. (3+4i)^20
The result of (3+4i)^20 is -1,072,697,779,282,031 + 98,867,629,664,588i.
To find the value of (3+4i)^20, we can use the concept of De Moivre's theorem. According to De Moivre's theorem, (a+bi)^n can be expressed as (r^n) * (cos(nθ) + i*sin(nθ)), where r is the magnitude of a+bi and θ is the angle it forms with the positive real axis.
In this case, a = 3 and b = 4, so the magnitude r can be calculated as √(a^2 + b^2) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5. The angle θ can be found using the inverse tangent function, tan^(-1)(b/a) = tan^(-1)(4/3) ≈ 53.13 degrees (or ≈ 0.93 radians).
Now, we can express (3+4i)^20 as (5^20) * [cos(20*0.93) + i*sin(20*0.93)]. Evaluating this expression, we get (5^20) * [cos(18.6) + i*sin(18.6)].
Since cos(18.6) ≈ -0.9165 and sin(18.6) ≈ 0.3999, we can simplify the expression to (5^20) * (-0.9165 + 0.3999i).
Finally, calculating (5^20) = 9,536,743,164,062,500, we can substitute this value back into the expression and obtain the final result of -1,072,697,779,282,031 + 98,867,629,664,588i.
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please help im not sure what it means
The slope of the linear function in this problem is given as follows:
m = -4.
How to calculate the slope?The slope of a linear function represents the rate of change of the linear function, hence it is calculated as the change in y divided by the change in x, taking two points.
From the graph of the function, when x increases from 0 to 3, y decays from 5 to -7, hence the slope is calculated as follows:
m =(-7 -5)/3
m = -4.
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Can i Some More hELp??? i will give brainliest!!!!
Answer:
c
Step-by-step explanation:
The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.
Answer:
3.0
Step-by-step explanation:
The magnitude of an earthquake is given as:
\(M = log_{10}\frac{I}{S}\)
where I = intensity of earthquake
S = intensity of standard earth quake
When the intensity of the earthquake is 1000 times the intensity of a standard earth, that means that:
I = 1000S
Therefore:
\(M = log_{10}\frac{1000S}{S} \\\\M = log_{10}1000\\\\M = 3.0\)
The magnitude is 3.0
Answer: it’s B on edge
Step-by-step explanation:
N architect is standing 370 feet from the base of a building and would like to know the height of the building. If he measures the angle of elevation to be 50°, what is the approximate height of the building?
Answer:
h = 440.94 feet
Step-by-step explanation:
It is given that,
An architect is standing 370 feet from the base of a building, x = 370 feet
The angle of elevation is 50°.
We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :
\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)
So, the approximate height of the building is 440.94 feet
Harry works in a local computer store and he kept a record of the number of computers sold each month for the past year. How many more computers were sold in the month of February than in the month of September? A. 20
B. 17
C. 15
D. 10
Answer:
A.) 20
Step-by-step explanation:
According to the bar graph, in February, the store sold 50 computers. In September, it seems like the store sold 30 computers. Therefore, if 50 - 30 = 20, the store sold 20 more computers in February than in September.
Answer:
A) 20
Step-by-step explanation:
Computers sold in Feb: 50
Computers sold in Sept: 30
50 - 30 = 20
- due 5/14
Question 23 of 30
Write the converse, inverse, and contrapositive of the following statement.
If you are in class, then you are not awake.
The Converse ve given an IS WHICH OF a ingr
A. You are not in class or you are not awake.
B. If you are not in class, then you are awake.
C. If you are not awake, then you are in class.
D. If you are awake, then you are not in class.
The inverse of the given statement is which of the following?
OA. If you are not in class, then you are awake.
OB. If you are not awake, then you are in class.
OC. If you are awake, then you are not in class.
O D. You are not in class or you are not awake.
The contrapositive of the given statement is which of the following?
OA. If you are not awake, then you are in class.
OB. If you are not in class, then you are awake.
OC. If you are awake, then you are not in class.
You are not in place or unu are not awake
The answers to the multiple-choice questions are as follows:
Converse: C. If you are not awake, then you are in class.
Inverse: OB. If you are not in class, then you are awake.
Contrapositive: OC. If you are awake, then you are not in class.
The converse, inverse, and contrapositive of the given statement "If you are in class, then you are not awake" are as follows:
Converse: If you are not awake, then you are in class.
The converse swaps the positions of the hypothesis and conclusion.
Inverse: If you are not in class, then you are awake.
The inverse negates both the hypothesis and the conclusion.
Contrapositive: If you are awake, then you are not in class.
The contrapositive negates both the hypothesis and the conclusion and swaps their positions.
Therefore, the answers to the multiple-choice questions are as follows:
Converse: C. If you are not awake, then you are in class.
The converse statement reflects the swapped positions of being awake and being in class.
Inverse: OB. If you are not in class, then you are awake.
The inverse statement reflects the negation of both being in class and being awake.
Contrapositive: OC. If you are awake, then you are not in class.
The contrapositive statement reflects the negation of both being in class and being awake, while swapping their positions.
Note: The provided option "You are not in place or you are not awake" does not correspond to any of the converse, inverse, or contrapositive statements.
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Question 2
What do you think the resulting equation from part D in question 1 means for the value of the variable s?
Answer:
"In the equation from part D of question 1, variable s is no longer in the equation. So, the variable s can have any value and the equation will still hold true."
Step-by-step explanation:
That was edmentums sample answer so its 100% correct.
Help plz number 17-18
Answer:
17.
Angle A= 25°
Angle B= 65°
18.
Angle Q= 65°
Angle R= 115°
Would you like an explanation or a step by step?
the perimeter of a isosceles triangle is 47 cm. what is the length of each of its legs? a. 15 cm b. 17.5 cm c. 19.5 cm d. 35 cm
The length of the third side of an isosceles triangle is 9 cm.
Define isosceles triangle.
A triangle with two sides that are congruent or that are the same length is known as an isosceles triangle.
Define perimeter.
The sum of the lengths of the three sides of an isosceles triangle can be used to determine its perimeter. Two of the sides of an isosceles triangle are equal in length. Therefore, if we know the base length and the other two equal side lengths, we can determine the perimeter.
Given data -
Perimeter of an isosceles triangle = 47cm
The sum of the equal sides = 38 cm
Let a be the length of equal sides.
Therefore 2a = 38
Perimeter of an isosceles triangle = 2a + b
47 = 38 + b
b = 47 - 38
b = 9 cm
The length of the third side of an isosceles triangle is 9 cm.
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The complete question is
"If the perimeter of an isosceles triangle is 47 cm and the sum of the equal sides is 38 cm. Find the length of the third side."
The slope of a line can tell you
Choose all that apply.*
how steep the line is.
the length of the line.
if the line is positive or negative
plsss help
Write each equation in logarithmic form. 2⁻³=0.125
\(log_{2} ( 0.125) = -3\) is exponential equation in logarithmic form.
How can you tell whether an exponential function is growing or deteriorating?
As the exponential's base is greater than 1, which occurs when those numbers increase, we are seeing exponential growth. When the exponential's base is between 1 and 0, and those numbers decrease, we have exponential decay.Convert the exponential equation to a logarithmic equation using the logarithm base (2) of the right side ( 0.125) equals the exponent
( -3 )
\(log_{2} ( 0.125) = -3\)
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When someone throws a ball, the action force is the person pushing on the ball. What is the reaction force?
Give a real answer and explain.
Answer:
Should be : The Ball Pushing On The Person
Step-by-step explanation:
while the Air resistance answers have a point this question is asking about the reaction and the only reaction answer is the ball pushing on the person. every action has a reaction,
The ball wants to stay still so it pushes back on the person with all it's force, but the person pushes the ball with more force then the ball has so the ball rolls.
(may have explained it to much or weirdly sorry)
given sine of x equals negative 15 over 17 and cos x > 0, what is the exact solution of cos 2x? 161 over 289 225 over 289 negative 161 over 289 negative 225 over 169
The value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.
What is cosine function?The ratio of the neighboring side's length to the longest side, or hypotenuse, in a right triangle is known as the cosine. Let's say that the hypotenuse of a triangle ABC is written as AB, and the angle between the hypotenuse and base is written as.
It's interesting to see that cos's value varies depending on the quadrant. As observed in the above table, cos 0°, 30°, etc. have positive values while cos 120°, 150°, and 180° have negative values. Cos will have a good value in the first and fourth quadrants.
Given that, sin x equals negative 15 over 17.
Using the Pythagoras theorem we have:
(17)² = (- 15)² + y²
y = 8
The value of cos x = 8/17
Then the value of cos2(x) is calculated using the formula:
cos2x = cos²x - sin²x
cos2x = (8/17)² - (15/17)²
cos2x = -161/289
Hence, the value of cos2x when sine of x equals negative 15 over 17 and cos x > 0 is -161/289.
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