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2 years ago

Sonya’s average so far is 84 for 3 math tests. What must she get on the fourth test to have an average of 88

Mathematics

1 answer:

ioda2 years ago

7 0

Answer:

she will need to get a 100 on the fourth test

Step-by-step explanation:

(252+x)/4 = 88

252+x = 352

x = 100

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Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to

Anettt [7]

Answer:

correct option is 2187

Total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by $2\pi rl$

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

$2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12$

Thus, lateral surface area for given cylinder is 1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle $\pi r^2$

$area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16$

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

= 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

= 2,185.44 square inches.

Thus, total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

but option which is closest to calculated value is 2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = $2\pi r^2 + 2\pi rl$

5 0

2 years ago

All equilateral triangles are isosceles?<br> A. True<br> B. False

Maru [420]

Answer:

A. true

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

When Marika bought her house she paid 80% of the purchase price of the house with a loan. She paid the remaining 49,400 of the p

Maurinko [17]

Let

x-----> the purchase price of the house

we know that

1) Marika paid $80\%$ of the purchase price of the house with a loan

2) Marika paid the remaining $\$49,400$ of the purchase price with her savings

3) $\$49,400$ represent the $20\%$ of the purchase price

$0.20x=49,400$

Solve for x

Divide by $0.20$ both sides

$0.20x/0.20=49,400/0.20$

$x=247,000$

therefore

<u>the answer is</u>

the purchase price of the house is $\$247,000$

3 0

2 years ago

1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per nig

Vladimir [108]

Answer:

Option E

Step-by-step explanation:

This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.

5 0

2 years ago

M(N+2)+3N+6 factorisation

PSYCHO15rus [73]

M(N+2)+3N+6
M*(n+2)+3(n+2)

Answer

(n+2)*(m+3)

3 0

3 years ago