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3 years ago

The diagram shows a prism.

Mathematics

1 answer:

telo118 [61]3 years ago

6 0

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = $\frac{1}{2}(\text{Base})(\text{Height})$

Area of 2 similar sides = Base × Height

= 8 × 15

= 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

= 920 cm²

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The following are the ages (years) of 5 people in a room:

Nata [24]

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, the mean age of 6 people is 17.

We need to find the age of person who entered the room.

We know that: $Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}$

Now, we have mean of 6 people that is 17

We know the age of 5 people while age of one person is unknown.

Let age of person which is unknown= x

So, we can write:

Sum of all data values = 17+16+ 15+ 17+ 22+x

where x is the age of person who enters the room.

Finding x

$Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15$

So, we get the value of x: x=15

Therefore, the age of the person who entered the room is 15.

5 0

3 years ago

the function f(x)=5(2)x represents number of bacteria, f(x), growing in a culture after x hours. How many bacteria are in the cu

snow_tiger [21]

<h3>Answer: 40</h3>

=============================================

Explanation:

Assuming the function is f(x) = 5(2)^x, then we replace every x with 3. Then we use the order of operations PEMDAS to simplify. Or we can use a calculator to simplify in one step.

f(x) = 5(2)^x

f(3) = 5(2)^3

f(3) = 5(8)

f(3) = 40

4 0

4 years ago

10. Find the unit rate: A UPS worker makes 288 deliveries in 18 hours. She made deliveries each hour. *

krok68 [10]

Answer:

16 deliveries in each hour

Step-by-step explanation:

1. 288 divided by 18 hours