oscar‘s Daphnis house was shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?

Answers

Answer 1

Answer:

Answer:

4ft.

Step-by-step explanation:

So, due to the shape being a triangle you could split the triangle in two to determine the height. This means that its essentially two right angle triangles beside one another with the hypotenuse being 5 ft long and its base being 3ft long. ( because we split the base by 2 so 6/2=3) Now we can perform the pythagorem theorum to solve for the wanted side (height). The pythagorem theorum is the hyptenuse squared equals one side squared plus the other side squared but considering we do not have one of those sides (height) we must re-organize the formula. SO the formula we will be using is hypotenuse squared minus side squared equals height squared.

Therefore,

5(squared) - 3(squared) = x(squared)

25-9=x(squared)

16=x(squared)

square root of 16=x

4=x

Finally, state your results... so we could say that due to our results the height of the tent would be 4 ft long.

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the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of the pyramid is 6 ft . The area of the regular hexagon is 93.5 ft. What is the volume of the pyramid?

Answers

Answer:

The volume of the pyramid is $V=187\ ft^(3)$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=(1)/(3)BH$

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

$B=93.5\ ft^(2)$

$H=6\ ft$

substitute

$V=(1)/(3)(93.5)(6)=187\ ft^(3)$

Answer:The answer is 187 ft to the 3 power

Hannah is having her bedroom painted. Interior Designs of Royal PalmBeach charges $60 for inspection and $40 per hour for painting.
Wellington's Splash of Color charges $70 per hour for painting, but no
inspection fee. Which of the following are true? Select all that apply. *

If it takes 7 hours to paint Hannah's room, Interior Design will be cheaper.

If it takes 3 hours to paint the room, both companies will charge the same amount.

If it takes 10 hours to paint Hannah's room, Splash of Color will cost at least $200
more than Interior Design.

Splash of Color will always be cheaper.

Answers

the first one is correct

and last one is correct

Step-by-step explanation:

What is the distance between 20 and -20?

Answers

Answer:

the answer is 40

Step-by-step explanation:

20 to -20 is 40

Answer:

Step-by-step explanation:

The distance between x and y is: $|x-y|$

Let '20' be 'x' and '-20' be 'y':

|20-(-20)|

Distribute '-' into '-20':

|20+20|

Add:

|40|

Determine Absolute Value:

The distance between 20 and -20 should be forty.

Write these fractions in ascending order.

5/8 3/4 1/2 9/16.

Answers

$(5)/(8)=(5 * 2)/(8 * 2)=(10)/(16) \n \n(3)/(4)=(3 * 4)/(4 * 4)=(12)/(16) \n \n(1)/(2)=(1 * 8)/(2 * 8)=(8)/(16) \n \n(9)/(16) \n \n8<9<10<12 \Rightarrow (8)/(16)<(9)/(16)<(10)/(16)<(12)/(16) \Rightarrow (1)/(2) < (9)/(16) < (5)/(8) < (3)/(4)$

In ascending order:
$\boxed{(1)/(2), (9)/(16), (5)/(8), (3)/(4)}$

$(5)/(8)=(10)/(16)\n(3)/(4)=(12)/(16)\n(1)/(2)=(8)/(16)\n\n\Downarrow\n\n\boxed{(1)/(2)<(9)/(16)<(5)/(8)<(3)/(4)}$

The width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of therectangle?
A. 9 cm; 18 cm
B. 18 cm
C. 18 cm; 36 cm

Answers

Answer:

Length of rectangle = 18 cm

Width of rectangle = 9 cm

Step-by-step explanation:

Let the length of rectangle be x

$\therefore \: width \: (w) = (1)/(2) x \n \n perimeter \: of \: rectangle = 54 \: cm \n \therefore \:2(l + w) = 54 \n \therefore \:(l + w) = (54)/(2) \n \therefore \:l + w= 27 \n \n \therefore \:x + (1)/(2) x = 27 \n \n \therefore \:(3)/(2) x = 27 \n \n \therefore \:x = 27 * (2)/(3) \n \n \therefore \:x = 9 * 2 \n \n \huge \red{ \boxed{\therefore \:x = 18}} \n \n \implies \: (1)/(2) x = (1)/(2) * 18 = 9$

Hence

Length of rectangle = 18 cm

Width of rectangle = 9 cm

Simplify -2[9 - (x + 7)]

Answers

Hey there! $-2[9 - (x + 7)] \n \n \n( -2(9) + -2(-x) + -7) \n \n -2(9) +-2(-x) + -2 (-7) \n \n \n -2(9) = -18 \n-2(-x) = 2x \n -2(-7) = 14 \n \n \n -18 + 2x + 14 \n \n \n \n Combine \n like\n terms: -18 , 14 \n \n \n -18 +14 = -4 \n \n \n \n Answer: 2x - 4 \n \n \n \n \n \n Good\n luck \n on \n your \n assignment \n and \n enjoy \n your \n day!$

~ $LoveYourselfFirst:)$

Answer:

-4x+2

Step-by-step explanation:

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