Find the height of a trapezoid that has an area of 64 square inches, and bases of 8 and 12 inches.

Answer:

C is the  answer

Step-by-step explanation:

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The measure of side DE is 12.3.

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

In the given triangle the length of the side DE can be found using the law of cosine. Therefore, the length of the side DE can be written as,

DE² = DF² + EF² - 2(EF)(DF)(Cos 59°)

DE² = 144 + 169 - 2(12 × 13 × Cos 59°)

DE² = 144 + 169 - 160.6918

DE² = 152.30812

DE = 12.3413 ≈ 12.3

Hence, the measure of side DE is 12.3.

Learn more about the Law of Cosine:

https://brainly.com/question/17289163

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:

Top: Quadrilateral

Down 1

Left: Kite

Right: Trapezoid

Down 1

Left: Parallelogram

Right: Isosceles trapezoid

Down 1

Left: Rhombus

Right: Rectangle

Down 1

Square

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Answer:

Top: Quadrilateral

Down 1

Left: Kite

Right: Trapezoid.

Down 1

Left: Parallelogram

Right: Isosceles trapezoid

Down 1

Left: Rhombus

Right: Rectangle

Down 1

Square

Answer:Really I just answered this for you. What you don't believe me? It's 30

Answer:

Looks good to me, but I don't see any question to answer.

Step-by-step explanation:

Cube Number       1        2        3       4       5       6

Number Results    1        4        1        2       1        3      rolled cube 12 times

                                                                                     1 + 4 + 1 + 2 + 1 + 3 = 12

Answer:

= 0.0471 or 4.71%

Step-by-step explanation:

(5/52) x (25/51)

= 0.04713423831

Answer: C

Explanation:

Formula for SA of a rectangular prism: [tex]SA = 2(lw + lh + wh)[/tex]

Plug in length, width, and height

[tex]SA = 2((4.2)(14.1)+(4.2)(9)+(14.1)(9))[/tex]

[tex]SA = 447.84[/tex] ft

Answer:

[tex]\frac{8}{21}[/tex]

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] ÷ [tex]\frac{3}{4}[/tex]

to divide fraction, take the reciprocal of the second fraction and multiply it by the first fraction:

[tex]\frac{3}{4} = \frac{4}{3}[/tex]

[tex]\frac{2}{7}[/tex] × [tex]\frac{4}{3}[/tex]

multiply like normal:

[tex]\frac{2}{7}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{21}[/tex]

Answer:

8/21

Step-by-step explanation:

2/7 * 4/3 = 8/21

Answer:

the angle sum of quadrilateral is 360 degree

x+2x+3x+4x = 360

10x=360

x= 360/10

x= 36

1 angle= 36

2 angle= 2*36=72

3 angle =3*36=108

4 angle= 4*36= 144

Step-by-step explanation:

Answer:

On the left the one down below

Step-by-step explanation: I check it to make sure it was right

Answer:

Step-by-step explanation:

Answer:

35.9 units cubed

Step-by-step explanation:

Hello There!

The figure shown is a rectangular prism

The formula for volume of a rectangular prism is

Length times width times height

The dimensions for the shown figure are given

height = 4 1/2

length = 2 1/8

width = 3 3/4

given this information we just plug it in to the formula

so

[tex]V=3\frac{3}{4}*4\frac{1}{2} *2\frac{1}{8}[/tex]

then we plug it in to a calculator and get that the volume is equal to

35.859375

finally we round to the nearest tenth and get that the volume is equal to

35.9 units cubed

Answer:

Okay first I'll reply to the question one. If x is 2 and there's 12x, you need to multiply 12 by 2 and the reply is 24. For the y, it's almost the same thing, you multiply 3 by 2. The final reply is 24 for x and 6 for y. For the second answer it's the same principe,  if s = 2 and in the equation is 4s, you just need to do 2 multipliate by 4. So at least, the reply is 8 for the var s. For the p, the answer is 24 because, 8 multipliate by 3 is 24. Finally for the g, you just need to multiply 4 and 16 and the reply is 64. So the final answer of your second question is 8+24+64.

Step-by-step explanation:

Answer:

C) ΔCDE similar ΔFGH

Step-by-step explanation:

Answer:

x = 138° because they are alternate interior angles. Alternate interior angles are congruent.

Step-by-step explanation:

Answer:

22.5km per hour

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

12.3(6) + 11.5(7)

73.8 + 80.5 = 154.3

Answer and Step-by-step explanation:

The volume would be 120, which isn't anything of the options listed.

This is because to find the volume of a cube, you multiply the base times the width times the height.

#teamtrees #PAW (Plant And Water)

Answer: Angle 5

Step-by-step explanation:

The transversal is the line in between the two angles, and they are interior as they are inside two other lines, they are also alternate, thereby making them alternate interior angles.

Answer: 5

hope this helps be nice if its wrong <3

Answer:

p(x) = x² - 2x -8

Step-by-step explanation:

We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,

[tex]\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta] [/tex]

Where k is constant . Substitute respective values ,

=> p(x) = k [ x² - ( a + ß )x + aß ]

=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]

=> p(x) = k [ x² -2x - 8 ]

If k = 1 ,

=> p(x) = x² - 2x - 8

a number is divisible by 3 if the sum of its digits is divisible by 3. 375, for instance, is divisible by 3 since sum of its digits (3+7+5) is 15. And 15 is divisible by 3. 1+2=3 and 3 is divisible by 3

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ect

Step-by-step explanation:

keep adding 3+3, then 3+6 and so on, then when you go as far as you want, look back at all the even numbers

Answer: 2 bags

Step-by-step explanation:

First find the area of the yard.

The area given the units would be:

= Length * Width

= 45 * 55

= ‭2,475‬ ft²

Victor needs enough fertilizer to cover ‭2,475‬ft² but each bag covers only 1,250 ft².

The number of bags needed is therefore:

= ‭2,475‬ / 1,250

= 1.98

= 2 bags

Using the "slope-intercept" form of the line's equation (y = mx + b), you solve for b (which is the y-intercept you're looking for). Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.

Hope that helps!!!!

Answer:

it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis.

Step-by-step explanation:

I hope this picture help you

Answer:

it's answer is Sin

Step-by-step explanation:

sin=P÷B

Answer:

y= -5

Step-by-step explanation:

-3(4) +9y = 57

-12 + 9y = 57

-12 + 12 + 9y = 57 + 12

9y/9 = -45

y= -5

Answer:

I think that Aliya is paid 3 dollars more than Eric per hour .

Answer:

D=121

Step-by-step explanation:

First fin the angles on the inside using the outer angles. Always use 180 as your main number to subtract from. 180-131 = 49  180-108= 72   72+49=121

180-121=59  180-59=121

Or an easier way is to see if your outer angles equal up to 360

So 131+108=239

360-239=121

And there's your solution.

48+140=188

92+210=302

if you at all it equals 490