You are given an Isosceles Trapezoid,

If one of the base angles equals 45 then what is the measure of it's opposite angle?

180


135


45


90

Answer:5

Step-by-step explanation:

The volume between the cone and the sphere is approximately 23.55 cubic units.

We are given that;

\(X= sqrt(y^2 + z^2)\)

\(x^2 + y^2 + z^2 = 16.\)

Now,

To find the volume between the cone and the sphere, we can use a triple integral in spherical coordinates.

The cone corresponds to the equation \($\rho = 2\cos(\phi)$\), where \($\rho$\) is the radial distance, \($\phi$\)is the polar angle, and \($\theta$\) is the azimuthal angle. The sphere corresponds to the equation \($\rho = 4$\). The limits of integration are:

\($0 \leq \theta \leq 2\pi$$0 \leq \phi \leq \frac{\pi}{4}$$2\cos(\phi) \leq \rho \leq 4$\)

The volume element in spherical coordinates is \($\rho^2\sin(\phi)d\rho d\phi d\theta$\)

Therefore, the volume is:

\($V = \int_{0}^{2\pi}\int_{0}^{\frac{\pi}{4}}\int_{2\cos(\phi)}^{4}\rho^2\sin(\phi)d\rho d\phi d\theta$\)

Evaluating this integral, we get:

\($V = \frac{32}{3}\pi - 8\sqrt{2}\pi + 16\pi$\)

Therefore, by volume of cone the answer will be 23.55 cubic units.

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According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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Answer:  $62.40

Step-by-step explanation:

Original price $80

22% of 80%

.22(80) = 17.60   >This is the discount

Sale price = Original price -  discount

Sale price = 80 - 17.60

Sale price = $62.40

Answer:

\(\Huge \boxed{\text{\$62.40}}\)

Step-by-step explanation:

In the sale, the prices decrease by 22%. This means that the sale price is 78% of the original price.

\(\Large \text{Sale price = (100 - 22)\% of old price}\\\text{Sale price = 78\% of \$80}\\\text{Sale price = 0.78 $\times$ 80}\\\text{Sale price = \$62.40}\)

Answer:

it's 60

Step-by-step explanation:

Answer:

where is your question?

Answer:

where is your question.Just type a. question also

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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Answer:

Explanation:

Find The Least Common Multiple Of 4 And 2: 4

¹³⁄₄k · 4 + ½k = ¹¹⁄₄ · 4

Simplify

15k = 11

Divide Both Sides By 15

15k / 15 = 11 / 15

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Step-by-step explanation:

\(i = prt \div 100\)

p=539

r=17%

t=21

I=?

\(i = 539 \times 17 \times 21 \div 100\)

Answer:

-2

Step-by-step explanation:

We can find the slope for two points

m = ( y2-y1)/(x2-x1)

    = ( 12 - 4)/(-6- -2)

   = 8/( -6+2)

   = 8/-4

   = -2

Answer:

1,632

Step-by-step explanation:

Answer: 10 miles

Step-by-step explanation:

Given that :

Company A:

Flat rate = $30

Charge per mile = $1

Company B:

Flat rate = $20

Charge per mile = $2

Let x = number of miles

Company A total :

30 + x

Company B total :

20 + 2x

Miles needed To get the same total :

30 + x = 20 + 2x

30 - 20 = 2x - x

10 = x

Hence, 10 miles will be moved

Answer:

1.  x = -1  y= -2
2. infinitely many solutions

3. x = 6 y= -7

4.no solution

5. x = -3 y = -17

6. x= 3 y = 7

Step-by-step explanation:

1) y=x-1

7x+6y= -19

6y= -19 -7x

y= (-7x-19)/6

since x-1 and (-7x-19)/6 are both equal to y they are equal to each other

this is how to get x

x-1 = (-7x-19)/6

6x-6 = -7x-19

13x = -13

x = -1

now put back -1 in the equation to get y

y=x-1

y = -1 -1

y= -2

2)-10x+2y=-12

y=5x-6

2y= -12 + 10x

y= -6 + 5x

y = 5x - 6

5x-6 = 5x - 6

0 = 0

when something is

equal to itself its

infinitely many solutions

(when something is not equal to something its no solution)

((when something is equal to just one answer its one solution)

3) y= -4x+17

y=x-13

-4x+17 = x-13

30 = 5x

x = 6

y=x-13

y=6-13

y= -7

4) -3x-15y=8

x+5y=5

-3x-15y=8 -> y = -1/15(3x-8)

5y=5-x -> y= 1/5 (5-x)

-1/15(3x-8) = 1/5 (5-x)

-x-8/3 = 5-x

0 = 23/3

(when something is not equal to something its no solution)

5) -3x+6y=-3

3x-y=8

-3x+6y= -3 -> y = 1/6(3x-3)

3x-y=8 -> y = 3x-8

1/6(3x-3) = 3x-8

3x-3 = 18x-48

x-1 = 6x - 16

5x = -15

x = -3

3x-y=8

3(-3)-y=8

-9-8 = y

y = -17

6) -6x+6y=24

-3x-8y=1

-6x+6y=24 -> y = 1/6(6x+24) -> y = x+4

-3x-8y=1 -> -3x-1 = 8y -> y = 1/8 (-3x-1)

1/8 (-3x-1) = x+4

-3x-1 = 8x+32

11x = 33

x= 3

-6x+6y=24

-6(3)+6y=24

-18 + 6y = 24

6y = 24 + 18

6y = 42

y = 7

\(\huge\text{Hey there!}\)

\(\mathsf{w - 0.2 = 0.8}\\\\\large\text{ADD 0.2 to both sides:}\\\\\mathsf{w - 0.2 + 0.2 = 0.8 + 0.2}\\\\\large\text{SIMPLIFY it:}\\\\\mathsf{w = 0.8 + 0.2}\\\\\mathsf{w = 1}\\\\\\\\\huge\text{Therefore, your answer should be:}\\\\\huge\boxed{\mathsf{w = 1}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

\( \sf \: W = 1 \)

Step-by-step explanation:

Now we have to,

→ Find the required value of W.

The equation is,

→ W - 0.2 = 0.8

Then the value of W will be,

→ W - 0.2 = 0.8

→ W = 0.8 + 0.2

→ [ W = 1 ]

Hence, the value of W is 1.

Answer:

(42,28)

Step-by-step explanation:

set up the problem by converting percentages to decimal

x+y=70

.30x+.80y=50(x+y)

solve for x, so minus y in order to get it x alone. equation should look like this: x=70-y

30(70-y)+80y=50(70-y+y)

solve the equation for y

y=28

plug the value of y into the equation x=70-y

x=70-28

solve for x

x=42

check the solution of (42,28)

42+28=70

30*42+80*28=50(42+28)

simplify the equations

70=70

3500=3500

the ordered pair is a solution

so James needs 42 liters of 30% antifreeze and 28 liters of 80% antifreeze.

(42,28)

message me on ig for math help: eduardo.gti

≈ 1.160

Hi there !

115.9% =1159/1000 = 1.159 ≈ 1.160

Good luck !

Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.

The original vertices are:

(4, 4), (4, 2), and (6, 3)

Subtracting 4 from the x-coordinates, we get the new vertices:

(0, 4), (0, 2), and (2, 3)

To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:

   (4,4)

     / \

    /   \

(4,2)----- (6,3)

To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.

So, the new x-coordinates of the vertices become:

x-coordinate of (4, 4) - 4 = 0

x-coordinate of (4, 2) - 4 = 0

x-coordinate of (6, 3) - 4 = 2

The y-coordinates of the vertices remain the same.

Therefore, the new vertices of the triangle are:

(0, 4), (0, 2), and (2, 3)

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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?

A. (0, 4), (0, 2), (2, 3)

B. (4, 0), (4, -2), (6, -1)

C. (4, 8), (4, 6), (6, 7)

D. (8, 4), (8, 2), (10, 3)

9514 1404 393

Answer:

  (c) 5 +15/4 +45/16 +135/64 +...; 20

Step-by-step explanation:

The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...

  5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum

Of course, the terms are ...

  5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...

  = 5 + 15/4 + 45/16 +135/64 + ... . . . series

Together, these observations match choice C.

Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

<95141404393>

Answer:

102

Step-by-step explanation:

523 said they prefer chicken,

295 said they prefer pasta,

and 126 said they prefer salad.

523-295-126 =102

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

how many or how much or what is the amount

Step-by-step explanation:

quantity means

the amount or number of a material or immaterial thing not usually estimated by spatial measurement.

if I were to ask you " How many apples are in that bag" Im basically asking what is the quantity of apples in that bag. So, in scatter plots it's asking you, how many points are on this graph of scatter points

The correct answer is:  A.Y intercept will be less and X will be less.

The slope is computed as the ratio of the change in the y-axis to the change in the x-axis. The slope of a straight line will describe the line's angle of steepness from the horizontal whether it rises or falls. When the line neither rises nor falls, then its slope will be zero.

Increasing driver costs by 0.25 cents per kilometer increases the truck's operating costs for each kilometer driven. This means that the  profit of the transport company is reduced by 0.25 cents for each kilometer driven.

Assuming that the relationship between profit and miles driven remains linear, this change causes a downward shift in the graph between total profit and miles driven, as the y-intercept of the line decreases as the cost per mile increases.

Therefore, the correct answer is:

A. The Y-intercept is smaller and the X-intercept is smaller.

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Answer:

1. 12 pieces of wood

2. How to determine the number of pieces of wood Dean cut is by dividing the total length of wood by length of each piece of wood

Step-by-step explanation:

Total length of wood=3/4 of a foot

He needs to cut pieces of the wood into 1/16 of a foot long

How many pieces can Dean cut

Let x= number of pieces of wood Dean needs to cut

x=Total length of wood / length of each piece

=3/4 ÷ 1/16

=3/4 × 16/1

=48/4

=12 pieces

Number of pieces of the wood Dean can cut =12 pieces

How to determine the number of pieces of wood Dean cut is by dividing the total length of wood by length of each piece of wood

That is,

3/4 ÷ 1/6

Then follow the procedures in question 1

ANSWER

EXPLANATION

The polygons given are similar.

To find the scale factor of the smaller figure to the larger figure, we have to find the ratio of the side lengths of corresponding sides of the smaller triangle to the larger one.

Therefore, we have that the scale factor is:

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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A factor of a number is called a prime factor.

The prime factor of a number is obtained by a factor tree method or by a division method.

The expression of a given number as a product of factors is called prime factorisation.

The prime number has 1 and the number itself is a factor.

The composite number will have more than one factor.

A number which is not a prime number is a composite.

1 and the number itself are not included in the prime factorisation of a composite number.

let us take the example

For the number 20, the prime factors are 2*2*5.

The above example is an example of the prime factorization of the composite number. where 1 and the number itself are not included in the prime factorisation of a composite number.

Answer:

But they can be broken down into prime numbers the process of writing out the prime numbers that make up a composite number is known as prime factorization

Step-by-step explanation: