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Fantom [35]
3 years ago
14

The bases of a prism are right triangles with side lengths 6 meters, 8 meters, and 10 meters. The height of the prism is 3 meter

s. What is the lateral area of the prism? What is the total suface area?
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m

Lateral Area Formula :
LA = hP  ; height * perimeter
     = 3m * (6 + 8 + 10)
     = 3m * 24
LA = 72 m² 

Surface Area Formula:
SA = 2B + hP       : B = area of the base  = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²

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vfiekz [6]

Answer:

perimeter of the rectangle is 64

so

64=2(3y+2+2y)

32=5y+2

30=5y

6=y

so

PQ=3×30+2=92

7 0
2 years ago
Jim invested $4,000 in a bond at a yearly rate of 4.5%. He earned $540 in interest.How long was the money invested?
abruzzese [7]

Answer:

3 years

Step-by-step explanation:

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Sara bought a 24-ounce can of tomato sauce for $6. What is the unit price per ounce
Rufina [12.5K]
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3 years ago
The mean of six numbers is 45. Four of the numbers are 40, 38, 46, and 51. If the remaining two numbers are I. The ratio of 2:3,
Advocard [28]

Answer:

The numbers are 38 and 57

Step-by-step explanation:

Let

x-----> the missing smaller number

y----> the missing larger number

we know that

45=\frac{40+38+46+51+x+y}{6} \\ \\270=175+x+y

x+y= 95 -----> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

substitute equation B in equation A and solve for y

\frac{2}{3}y+y= 95

\frac{5}{3}y= 95

y=95*3/5=57

Find the value of x

x=\frac{2}{3}(57)=38

8 0
3 years ago
Solve the following system of equations <br> -3x+2y=8<br> 6x-2y=-20
Elanso [62]
2 [-3x+2y=8]
6x-2y=-20

-6x + 4y = 16
6x - 2y = -20
2y = -4
y = -2

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-3x + 2(-2) = 8
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x = -4

6 0
3 years ago
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