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Viefleur [7K]
3 years ago
10

a manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below. Whic

h estimate is closest to the volume in cubic millimeters of the part?
108 
217
440 
880

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0
The closest estimate is 108.

The volume of a triangular prism is found using the formula

V = 1/2*b*h*H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism.  With our information we have:

V=1/2(12.6)(1.6)(10.75) = 108.36.
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2 years ago
a house on the market was valued at 446000 after several years of value increased by 15% by the how much did the house value inc
olga_2 [115]

Answer:

the house will have gained $66,900$ worth of value putting the house worth at $512,900$

Step-by-step explanation:

446,000  ➗  100 X  15 = 66,900

446,000 + 66,900 = 512,900

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3 years ago
Write the equation of the conic section with the given properties:
timurjin [86]

Answer:

\frac{x^2}{64} + \frac{y^2}{25} =1

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0  

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1

a= 8 , b=5 , h=0,k=0. equation becomes

\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1

\frac{x^2}{64} + \frac{y^2}{25} =1

5 0
3 years ago
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
deff fn [24]

Answer:

727.29 − 248.50 + x ≥ 500 727.29 − 248.50 − x ≤ 500. Hope this helps!

Step-by-step explanation:

5 0
2 years ago
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
telo118 [61]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for <em>x</em>

  1. <u>Distribute 4:</u> 4x - 8 = 3x + 1
  2. <u>Subtract 3x on both sides:</u> x - 8 = 1
  3. <u>Add 8 to both sides:</u> x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

  1. <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
  2. <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
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3 years ago
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