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RoseWind [281]
2 years ago
12

Work out the surface area of this solid prism

Mathematics
1 answer:
zalisa [80]2 years ago
8 0

Answer:

3220 cm²

Step-by-step explanation:

Lets find the area of the two triangles

I am making a modification:

Both of the triangles are the same, so I wont divide by 2 using the area of triangle formula 1/2(b * h) because we end up multiply by 2

Area of triangles = 15 cm x 28 cm = 420 cm²

Area of front facing parallelogram = 24 cm x 4(10)cm = 100(10)cm = 1000 cm²

Area of back facing parallelogram = 17 cm x 40 cm = 680 cm²

Area of bottom parallelogram = 40 cm x 28 cm = 1120 cm²

Total Surface area = 420 cm² + 1000 cm² + 680 cm² + 1120 cm² = 1100 cm² + 2120 cm² = 3220 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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Question 5 Unsaved
Otrada [13]

We can use the compound interest formula

F=P(1+i)^n

where

F=Future value of investment to be found

P=present value of investment ($1000)

i=interest per period (1/4 year)=0.04/4=0.01

n=number of periods (3 years * 4 quarters = 12)


Substitute or "Plug in" values, so to speak,

F=1000*(1+0.01)^12

use a calculator to do the sum

=1126.83 (to the nearest cent, and use the proper rounding rules)



3 0
3 years ago
Anyone do Connections Academy???<br><br> just wanna know.-.
Contact [7]

Answer: no but some people do

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
10-d = -34-5d solve this equation
algol13
<h3><u>Explanation</u></h3>
  • Given the equation.

10 - d =  - 34 - 5d

  • Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

10 + 34 =  - 5d + d \\ 44 =  - 4d \\  \frac{44}{ - 4}  = d \\  - 11 = d

  • Answer Check

Substitute d = -11 in the equation.

10 - ( - 11) =  - 34 - 5( - 11) \\ 10 + 11 =  - 34 + 55 \\ 21 = 21

The equation is true for d = -11.

<h3><u>Answer</u></h3>

<u>\large \boxed{d =  - 11}</u>

7 0
3 years ago
Read 2 more answers
the angle theta is located in quadrant 1 and cos of theta is 3/8. what is the value of sin of theta ?
ra1l [238]

Answer: sin of theta = (√55)/8

Step-by-step explanation:

Cosine is the x-value divided by the hypotenuse. We now know that since cosine is 3/8, that the hypotenuse is 8. In order to find the third side of the triangle (which would be the v-value), we must use Pythagorean theorem. The third side is square root 55. Sine equals the y-value divides by the hypotenuse. We know both of those values, so Sine of theta = square root of 55 divided by 8.

8 0
3 years ago
An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu
notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days)  implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days)  = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0
2 years ago
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