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Olegator [25]
3 years ago
14

What is the height of the trapezoid?

Mathematics
2 answers:
brilliants [131]3 years ago
7 0
Area = 1/2 (sum of bases ) *h

40 *2 = (10+6)*h

80/16 = h

5 unit = h
baherus [9]3 years ago
6 0
The formula for the area is A=(B+b)h/2
So h=2A/(B+b)
h=2(40)/(10+6)=80/16=5u
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Find the surface area of a right prism whose bases are equilateral triangles with side lengths of 6in. The height of the prism i
vesna_86 [32]

ANSWER

211.2 {in}^{2}

EXPLANATION

The surface area of a triangular prism is

equal to the area of two triangular faces

plus the area of the three rectangular faces.

The area of the equilateral triangle is calculated using the formula:

= 2 \times \frac{ \sqrt{3} }{4}  {s}^{2}  + 3 \times  \: bh

where s=6 is the length of one side.

and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.

Surface area

= 2 \times \frac{ \sqrt{3} }{4}  \times  {6}^{2}  + 3 \times  \: 6 \times 10

= 18\sqrt{3} + 180

=211.2square inches.

8 0
3 years ago
Find the Arithmetic mean<br> between 6 and 12​
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Step-by-step explanation:

Arithmetic mean

A.M. =  \frac{6 + 12}{2}  =  \frac{18}{2}  = 9 \\

6 0
3 years ago
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south high school has 85 students more than North High School. The total number for both schools is 1495. How many students are
Soloha48 [4]
790 students I subtracted 1495-85 then divided that by two then added the 85 to 705 to get 790
6 0
3 years ago
Carlene sells magazine subscriptions door-to-door. She receives $4 for each
lapo4ka [179]
The last option is correct
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Thomas invests $50,000 in an account that compounds interest continuously and earns 15%. How long will it take for his money to
WARRIOR [948]

Answer:

It will take about 7.3 years for his money to triple.

Step-by-step explanation:

Identify the variables in the formula.

A = 150,000

P = 50,000

r = 0.15

t = ?

A = Pe^rt

Substitute the values into the formula.

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Take the natural log of each side.

ln 3 = ln e^0.15*t

Use the power property and then simplify.  

ln 3 = 0.15*t ln e

ln 3 = 0.15-t

Divide each side by 0.15.

(ln 3) /(0.15) = t

Approximate the answer.

t ≈ 7.3

4 0
3 years ago
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