In the figure below, are ____________ angles.


Select one:

supplementary

complementary

obtuse

vertical

Answer:

The height is equal to 10.

Step-by-step explanation:

With an isosceles trapezoid, the two legs are the same, and then the two bases. There are 2 sides given that are the same: 25. So now we know that the two legs are 25, and the two bases are 16 and 30 (doesn't really matter which length goes with which base).

To find the volume of an isosceles trapezoid, you need to use the formula  [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex].

So, to find [tex]h_{1}[/tex], which is the trapezoid height, we need to use the Pythagorean Theorem. We know that the bottom base is 30, so when we draw altitudes from the top base to the bottom base, they are the heights of the trapezoid. The two triangles formed from the altitudes are congruent (I could prove it but just trust me that they are). The rectangle that formed has the top and bottom sides equalling 16. So now we know that the triangles that were formed have bases of 7 because of Part-Whole Postulate (PWP). Since the sides are given as 25, we can find the missing side, which happens to be the height of the triangle, using the Pythagorean Theorem.

The equation would be:  [tex]7^{2} +h^{2} =25^{2}[/tex]. If you do that math, you get [tex]49+h^{2} =625[/tex] after simplifying. Now you bring the 49 to the other side and subtract, leaving you with [tex]h^{2} =576[/tex]. Now you have to square root both sides, and you should end up with h=24.  

Now that we know the height, we can substitute it:  [tex]\frac{30+16}{2}[/tex] · [tex]h_{1}[/tex] · [tex]h_{2}[/tex] =5520 turns into

Answer:

8 miles

Step-by-step explanation:

24 miles/6 hours = 4 miles per hour

4 miles per hour x 2 hours = 8 miles

Answer:

8 miles

Step-by-step explanation:

24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.

Answer:

exponential. not linear functions because they change by equal differences not intervals.

Answer:

Step-by-step explanation:

Mario bakes:

x loaves of bread on Sunday

90 + x Loaves on Saturday

70 + x Loaves on Monday

70 + x = 340

x = 340 -70 = 270 loaves

now sub value of X

On Saturday he baked 90 + 270 = 360 Loaves

sin ( 300 ) −4 cot(−45) csc(60)

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

Answer:

B and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

b!

Answer:

Step-by-step explanation:

The interest amount in one year:

Interest rate:

Answer:

The result of the integral is [tex]\frac{\pi}{4}(\cos{4}-\cos{1})[/tex]

Step-by-step explanation:

Polar coordinates:

In polar coordinates, we have that:

[tex]r^2 = x^2 + y^2[/tex]

[tex]\int \int_{R} dA = \int \int_{R} r dr d\theta[/tex]

In which r is related to the radius values, while [tex]\theta[/tex] is related to the angles in the trigonometric circle.

In this question:

R is the region in the first quadrant

In the first quadrant in the trigonometric circles, the angles go from 0 to [tex]\frac{\pi}{2}[/tex], which means that this are the outer limits of integration.

Between the circles with center the origin and radii 1 and 2

This means that the inner limits of integration are between 1 and 2.

The integral will be given by:

[tex]\int \int_{R} \sin{x^2+y^{2}} dA = \int_{0}^{\frac{\pi}{2}} \int_{1}^{2} \sin{r^2} r dr d\theta[/tex]

Inner integral:

[tex]\int_{1}^{2} \sin{(r^2)} r dr[/tex]

By substituion,

[tex]u = r^2[/tex]

[tex]du = 2r dr[/tex]

[tex]dr = \frac{du}{2r}[/tex]

So

[tex]\int_{1}^{2} \sin{(r^2)} r dr = \int_{1}^{2} \sin{u} r \frac{du}{2r}[/tex] = \frac{1}{2} \int_{1}^{2} \sin{u} du[/tex]

Integral of sine is minus cosine. So

[tex]\frac{1}{2}(\cos{u})|_{1}^{2}[/tex]

Before replacing, we substitute back u.

[tex]\frac{1}{2}(\cos{r^2})|_{1}^{2} = \frac{1}{2}(\cos{4}-\cos{1})[/tex]

Outer integral:

[tex]\int_{0}^{\frac{\pi}{2}} \frac{1}{2}(\cos{4}-\cos{1}) d\theta[/tex]

[tex]\frac{\theta}{2}(\cos{4}-\cos{1})_{0}^{\frac{\pi}{2}}[/tex]

[tex]\frac{\pi}{4}(\cos{4}-\cos{1})[/tex]

The result of the integral is [tex]\frac{\pi}{4}(\cos{4}-\cos{1})[/tex]

Answer:

Is it A+B+C= 180 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees

Answer:

Is it A+B+C= 180 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees. It's also an equilateral triangle so each of its angles are 60 degrees

Answer:

1 is the answer I am expecting and 2x-1 also we can write but ask for your teacher ok my friend

Answer:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself

Answer:

(8x - 3)(x + 2)

Step-by-step explanation:

A factorization must have a result equals to the original expression.

In this question:

For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.

(8x - 3)(x + 2)

8x² + 16x - 3x - 6 = 8x² + 13 - 6

Equal, so this is the factorization.

(x-6)(8x + 1)

8x² + x - 48x - 6 = 8x² - 47x - 6

Different

(2x - 2)(4x + 3)

8x² + 6x - 8x - 6 = 8x² - 2x - 6

Different

(4x - 1)(2x + 6)

8x² + 24x - 2x - 6 = 8x² + 22x - 6

Different

Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).

Factorization simply means to write an algebraic expression as products of two factors.

Given the algebraic expression:

8x² + 13x - 6

Factorize as follows:

8x² + 16x - 3x - 6

(8x² + 16x) - (3x - 6)

8x(x + 2) -3(x + 2)

(8x−3)(x+2)

Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).

Learn more about factorization on:

https://brainly.com/question/25829061

The total number of stickers Grace gives to Huiling for an equal number of stickers is 212 stickers.

What information do we have?

Number of sticker Grace have = 634

Number of sticker Huiling have = 210

Difference of stickers = 634 - 210

Difference of stickers = 424

Number of stickers Grace gives to Huiling = 424 / 2

Number of stickers Grace give to Huiling = 212 stickers

Find out more information about 'Number of stickers'

https://brainly.com/question/9954214?referrer=searchResults

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

Answer:

-3

Step-by-step explanation:

Slopes of a perpendicular line are the opposite reciprocal.

So, the opposite of 1/3 is -1/3.

Then the reciprocal of -1/3 is -3 (since -3 is -3/1).

Answer:

Step-by-step explanation:

x is the supplement of 133

x + 133 = 180

x + 133 - 133 = 180 - 133

x = 47

Answer:

it's 2800

Step-by-step explanation:

2×2×2×2×5×5×7

Answer:

To factor any expression, find the greatest common factor that all of the terms share. In this case, we have: 4p^2, 5pq, and -6pq^2.

We see that the only common factor they share is "p".

So, we take out p to get: p(4p+5q-6q^2), which is our answer, since this can't be simplified further.

Let me know if this helps!

Answer:

4p²+5pq-6pq²

taking common

p(4p+5q-6q²)

Answer:

If a numbers digits add up till 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). y = -4 is a line parallel to x-axis with y-intercept of -4.

   We can draw a line on the graph as attached.

2). Given line 'f' in the graph is parallel to the y-axis and passing through x = 7.

   Since, slope of y-axis or any line parallel to y-axis is not defined

   Slope of line 'f' is undefined.

Answer:

Unlikely

Step-by-step explanation:

50/50 means that there is half a chance to loose a turn or 6/12 which is not the case.

Certain is definitely not correct as there is only 1/12 of a chance.

And impossible is not possible because it would have to be 0/12. There is still a chance to loose a turn with 1/12

Answer: 360

Step-by-step explanation:

Question: Mario Works in a bakery he made 90 more loaves of bread on Saturdays and he did on Sunday he made 70

loaves of bread on Monday than he did on Sunday if he made 340 loaves of bread on Monday how many loaves of bread did he make on Saturday.

so since he made 340 loaves of bread on monday and 70 less on sunday and 90 more on saturday 340-70 is 270 so he made 270 loaves on sunday and 270+90=360 so he made 360 loaves on saturday. plz mark me brainliest