Answer:
m∠ABC=17∘
Step-by-step explanation:
If x and y are in direct proportion and y is 64 when x is 8, find y when x is 13.
The value of y will be 104 using direct proportion property between x and y.
What is direct proportion ?
Direct proportion is the relation between two quantities where ratio of these two is equal to a constant.
It is represented by proportional symbol , "∝"
Let's consider constant is m.
For given que,
As y and x are in direct proportion,
y ∝ x
or x ∝ y
eliminating the proportionality,
y = x*m where m is any constant.
y/x = m
Given when y = 64 , then x = 8
So, m = 64/8
= 8
And when x = 13 then y = ?
y/13 = 8
y = 13*8
= 104
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Milo can run 12 miles in 60 minutes. He needs to reduce his time by 19%. Approximately how many minutes does he have to take off his time? Round to the nearest whole number.
Milo needs to cover 12 miles in 48.6 minutes, as the percentage.
What is percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.
Milo can run 12 miles in 60 minutes.
She needs to reduce the time by 19%
So we have to calculate the 19%of 60
= 19/100* 60
=57/5 minutes
= 11.4
So the time he needs to achieve will be 60-11.4 = 48.6 minutes.
Hence, he needs to cover 12 miles in 48.6 minutes.
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Consider the number 9,953.
Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for
each number without using a calculator.
Hint: If a number is not divisible by 2, then what other numbers is it
also not divisible by?
Write your answer in complete sentences.
Answer:
No for all of them
Step-by-step explanation:
2 --> not even
3 --> of the sum of the numbers are not divisible by three
4 --> the last two digits are not equal to a multiple of four
5 --> the last digit is not ending with 0 or 5
9 --> the sum of the digits is not equal to a multiple of nine
10 --> the last number is not zero
I NEED HELP now pls pls
Answer:
1) AC = 6 cm
2) AB = 16.2 cm ( note that ^{2} is = square and \sqrt{ this is = square root)
3) BC = 12.65cm
Step-by-step explanation:
1) a^{2} + b^{2} = c^{2}
4.8^{2} + 3.6^{2} = AC^{2}
36 = AC^{2}
\sqrt{ }36 = AC
AC = 6
2) a^{2} + b^{2} = c^{2}
AB^{2} + 6.75^{2} = 17.55^{2}
AB^{2} = 308.0025 - 25.5625
AB = \sqrt{ }262.44
AB = 16.2
3) a^{2} + b^{2} = c^{2}
BC^{2} + 6^{2} = 14^{2}
BC^{2} = 196 - 36
BC = \sqrt{ } 160
BC = 12.65
I hope this helps a little bit.
What is the value of x that makes the statement true?
8x + 45 = 10x + 69
x =
Answer: x = - 12
8x + 45 = 10x + 69
⇔ 10x - 8x = 45 - 69
⇔ 2x = -24
⇔ x = -12
Step-by-step explanation:
Answer:
x = -12
Step-by-step explanation:
8x + 45 = 10x + 69
8x = 10x + 24
-2x = 24
x = -12
An____is an outcome of a population that has some probability of being selected.
An "event" is an outcome of a population that has some probability of being selected.
In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.
For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.
Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.
In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.
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An "outcome" is an outcome of a population that has some probability of being selected.
An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.
When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.
In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.
For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.
In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.
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Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is
The volume of the box is the amount of space that it occupies. The volume can be determined by multiplying the length, width, and height of the box together. It is often measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). Therefore, the volume of the box cannot be determined without knowing the dimensions of the box.
To determine the volume of the box, we will have to know the dimensions of the box. Once we know the dimensions of the box, we will be able to determine the volume of the box using the formula, volume = length × width × height.
Emily convinced her mom to buy a giant box of her favorite cereal. However, her mom doesn't think the box will fit on their shelf. To find out if the box will fit on their shelf, we need to determine the dimensions of the box. Once we know the dimensions of the box, we will be able to determine the volume of the box using the formula. If the volume of the box is greater than the space available on their shelf, the box won't fit on the shelf. If the volume of the box is less than the space available on their shelf, the box will fit on the shelf.
The volume of the box can be determined by multiplying the length, width, and height of the box together. Therefore, the dimensions of the box are required to determine the volume of the box.
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Mariana made a quilt square with the design shown below.
https://cdn.app.edmentum.com/EdAssets/cfa811cb5c44407fbc5e76dd7dfc22a8?ts=635545793215170000
Which of the following best describes the shaded triangle with the given measures?
A.
obtuse isosceles triangle
B.
right scalene triangle
C.
obtuse scalene triangle
D.
right isosceles triangle
Answer:
B.
right scalene triangle
Step-by-step explanation:
The proportion of a normal distribution located between z = .50 and z = -.50 is ____.
The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
We have,
A normal distribution located between z = 0.50 and z = -0.50,
So,
Now,
From the Z-score table,
We get,
The Probability corresponding to the Z score of -0.50,
i.e.
P(-0.50 < X < 0) = 0.191,
And,
The Probability corresponding to the Z score of -0.50,
i.e.
P(0 < X < 0.50) = 0.191,
Now,
The proportion of a normal distribution,
i.e.
P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)
Now,
Putting values,
i.e.
P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)
Now,
Again putting values,
We get,
P(-0.50 < X < 0.50) = 0.191 + 0.191
On solving we get,
P(-0.50 < X < 0.50) = 0.382
So,
We can write as,
P(-0.50 < X < 0.50) = 38.2%
So,
The proportion of a normal distribution is 38.2%.
Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
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What does 123 times 504 equal?? I am just soooo curious about this... ;)
Answer:
61992
Step-by-step explanation:
Answer:
\(\huge\boxed{Answer\hookleftarrow}\)
\(123 \times 504 \\ = 61992\)
Can someone help me please!
Answer:
It would be -5
Step-by-step explanation:
Pleaseeeeee helppppppppp :))
find errors then solve the problem correctly
find the volume of the given pyramid. measurements are in feet.
answer:
v = 1/3 bh
the base (b) is a square and the area is20(20) = 400 ft^2
v = 1/3 400(26)
v = 1/3 (400) + 1/3(26) = 142 ft^2
IF the base area of the pyramid will be 400 square feet. Then the volume of the given pyramid will be 3466.67 cubic feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the pyramid is shown in the diagram.
Then the base area of the pyramid will be
Area = 20 x 20
Area = 400 square feet
Then the volume of the given pyramid will be
V = 1/3 x area x height
V = 1/3 x 400 x 26
V = 3466.67 cubic feet
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How to find the maximum volume of a cylinder inscribed in a sphere of radius r?
To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.
Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.
Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.
To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:
d/dx (2πr^3) = 6πr^2 = 0
This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.
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What is the distance between -45 and 65
Answer:
110
Step-by-step explanation:
What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?
To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:
∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞
The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.
It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:
(-45) - (+65) = -110
|-110| = 110
That's it! The Difference between -45 and +65 is as follows:
110
Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto. ¿Cuánto tiempo le llevará a cada uno si juntos pueden hacer el trabajo en 3h?
Answer:
El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
Step-by-step explanation:
Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:
Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:
2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto
X=El tiempo que le toma a Alberto.
Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:
2X+X=3 horas
3X=3 horas
X=1 hora
Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
A cosmetics manufacturer's marketing department has developed a linear trend equation that can be used to predict annual sales of its popular Hand & Foot Cream. F1 = 80 + 151 where F, = Annual sales (000 bottles) t is in years a. Are annual sales increasing or decreasing? By how much? b. Predict annual sales for year 6 using the equation.
The annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 1,006,000 bottles.
According to the given linear trend equation F1 = 80 + 151, the constant term 80 represents the initial annual sales at the start of the trend. The coefficient of the independent variable t, which represents the number of years, is 151.
To determine whether the annual sales are increasing or decreasing, we look at the coefficient of t. Since the coefficient is positive (151), it indicates that the annual sales are increasing over time. The coefficient tells us that for every year that passes, the annual sales increase by 151,000 bottles. Therefore, the annual sales are experiencing positive growth.
To predict the annual sales for year 6, we substitute t = 6 into the equation. Plugging in the value, we have F6 = 80 + (151 * 6) = 80 + 906 = 986. Therefore, the predicted annual sales for year 6 is 986,000 bottles.
In conclusion, the annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 986,000 bottles. This indicates that the product's popularity and demand are growing steadily.
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What is the number which when divided by 26 gives 15 as
quotient and 8 as remainder
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
The students were helping decorate a bulletin board for the missionary conference. Christi use 5/16 of a roll of blue paper and sandy used 1/8 of the roll. How much more paper did Christi use than sandy?
Answer:
Christi used 3/16 more of the roll than Sandy did.
Step-by-step explanation:
First, you'll need to make the denominators the same. I htink it's called GCF or Greatest common factor.
16:16,32...
8:8,16...
That was quick, anyways now perform these equations:
1/8=8 x 2 = 16, 1 x 2 = 2
1/8 is now 2/16. Now you can easily compare the equations.
Since 5/16 already has 16 as it's denominator you make no changes to it.
5/16 - 2/16 = 3/16
now you can simplify your answer: 3/16 = 3/16 it's already at it's simplest form.
Your answer would be 3/16.
how many groups of 6 are in 95?
Answer:
15
Step-by-step explanation:
It does not divide evenly, but there are 15 groups of 6 in 95.
–9.4 >(greater than or equal to) 1.7x + 4.2.
Answer:
negative 8
Step-by-step explanation:
Answer:
A, or x < -8 (:Step-by-step explanation:
If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
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Helpppp please!! 23 points
Answer:The correct answer is A. All triangles' interior angles equal 180.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answer:
I do want to help, but i'm on school computer, and school computers BLOCK every image on brainly
Step-by-step explanation:
Answer:
y - 5x - 3
Step-by-step explanation:
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
find the value of X, y and z
ans: x=50 y= 50 z=50
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
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These triangles are similar. I need to know what x is.
The value of x as per the similarity of triangles is = 7.1.
What is similarity of triangles?If two triangles' sides have the same ratio or proportion and their angles are the same (corresponding angles), then the triangles will resemble one another (corresponding sides).
Similar triangles may have varied side lengths when compared individually, but they must all have the same ratio of their side lengths and equal angles.
Now in the figure, the triangles are similar.
So, sides of the triangles will be proportional to each other.
Now, 9/15 = 4.3/x
⇒ x = (4.3 × 15)/ 9
⇒ x = 7.1
Therefore, the value of x as per the similarity of triangles is = 7.1.
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help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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Determine the change of volume caused in the block due to the application of the forces (Bulk Modulus Problem). Set E=60GPa , poisson Ratio v=0.25 , assume isotropic material
However, using the calculated Bulk Modulus (K = 40 * 10^9 Pa) and the given equation, you can now determine the change in volume once you have the required values for applied force and initial volume.
To determine the change in volume of the block due to the application of forces, we need to use the concept of Bulk Modulus (K). Bulk Modulus is the measure of a material's resistance to uniform compression or expansion. In this case, we are given the material's Young's Modulus (E) and Poisson's Ratio (v), which can be used to calculate the Bulk Modulus.
For an isotropic material, the relationship between Young's Modulus, Poisson's Ratio, and Bulk Modulus is given by:
\(K = E / (3 * (1 - 2 * v))\)
Using the given values, E = 60 GPa (60 * 10^9 Pa) and v = 0.25, we can calculate the Bulk Modulus:
\(K = (60 * 10^9) / (3 * (1 - 2 * 0.25)) = (60 * 10^9) / (3 * (1 - 0.5)) = (60 * 10^9) / 1.5 = 40 * 10^9\) Pa
Now, to find the change in volume, we need to know the applied force (F) and the initial volume (V0) of the block. Assuming uniform compression, the equation relating Bulk Modulus, applied pressure (P), and volumetric strain (∆V/V0) is:
P = K * (∆V / V0)
Rearrange the equation to solve for ∆V:
∆V = (P * V0) / K
Without the values for applied force and initial volume, we cannot determine the change in volume (∆V).
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Find the range and interquartile range of the data.
2, 4, 8 , 3, 2
Answer:
IQR = 4
Step-by-step explanation:
Q3 = 6
Q1= 2
6-2=4
Complete the equation of the line who’s y intercept is (0,-1) and slope is 4
Y=4x-1
The equation of a line is:
Y=mx+c
We are told that the slope is 4 which is also gradient, meaning that M=4
Now we are left with:
Y=4x+c
There are two ways to get C:
1. We know that C represents the y-intercept so immediately we can conclude that C=-1
2. You can work it out by substituting the coordinate for the X and Y value:
-1=4(0)+c
-1=C
So in conclusion, the equation of the line is:
Y=4x-1