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Juliette [100K]
2 years ago
6

13. Determine the length of BD, given by x in the figure. Give your answer to two decimal places.

Mathematics
1 answer:
gregori [183]2 years ago
7 0

Answer:

6.71

Step-by-step explanation:

Use the Pythagorean Theorem with the triangle:

6^2 + 3^2 = x^2

x = 6.71

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At the beginning of the week, James stopped by a local grocery store to buy fruit. He bought five bananas and three pears at a t
suter [353]
Lets try to solve this problem using 2 equations, also,we will have bananas=b and pears =p

5b+3p= $3.80
2b+4p= $3.20  i will divide this equation by 2 and get
b+2p= $ 1.60  we subtract 2p from both side so i can find the cost for 1 banana
b+2p-2p=1.60-2p
b= $1.60-2p

I will replace the b in the first equation now,

5(1.60-2p)+3p=$3.80
8-10p+3p=3.80   solving for p
8-7p=3.80     we subtract 8 from both sides
-7p=-8+3.80
-7p=-4.20  we multiply both sides by (-1)
7p=4.20  we divide now both sides by 7
p=0.60   a pear cost 0.60 cents

a banana is b=1.60-2p,   b=0.40 cents



4 0
3 years ago
Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 s
mrs_skeptik [129]

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

<h3>Step 1. Add all surface areas together</h3>

Prism: 6 surfaces

Surface area = 216 inches sq

  • Front = 6 x 6 = 36
  • Back = 6 x 6 = 36
  • Top = 6 x 6 = 36
  • Bottom (base) = 6 x 6 = 36
  • Side = 6 x 6 = 36
  • Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

  • Bottom (base) = 6 x 6 = 36
  • Front triangle = (6 x 4)/2 = 12
  • Back = (6 x 4)/2 = 12
  • Side = (6 x 4)/2 = 12
  • Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

<h3>Step 2. Subtract surfaces that are NOT being painted</h3>

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

<u>228 inches sq</u>

Hope this helps!

Download pdf
5 0
2 years ago
Please help I can’t figure this out
olga2289 [7]

Answer:(x + 2) 5

Step-by-step explanation:Btw put

the 5 as ur expoent

7 0
3 years ago
Read 2 more answers
Picture `: what is the value of x?
Sphinxa [80]

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
3 0
3 years ago
PLEASE HELP ME!!! I NEED THIS REALLY SOON OR I WILL FAIL! What are some measurements that might be easier if we worked in the me
inessss [21]

Answer:

Centimeters might be easier because they can be much more precise than inches when there isn't an ideal length. Kilometers might be easier because it would not require such large numbers to work with.

Step-by-step explanation:

:)

5 0
3 years ago
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