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emmainna [20.7K]
3 years ago
10

Hey all, i’m going to do a long questions so i hope y’all don’t mind answering?

Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

Answer:

81

Step-by-step explanation:

1st History test: 73

2nd History test: 77

3rd History test: 81

4th History test: 85

5th History test: 89

73+77+81+85+89 = 405

405/5 = 81

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The area of a circle is 80.86cm2.<br> Find the length of the radius rounded to 2 DP.
weeeeeb [17]

Answer:

Solution given:

The area of a circle =80.86cm²

we have:

The area of a circle =πr²

substituting value of area of circle we get

80.86cm=3.14*r²

dividing both side by 3.14

80.86/3.14=3.14*r²/3.14

25.75=r²

doing square root on both side

\sqrt{25.75}=\sqrt{r²}

r=5.07cm

<u>The</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>radius</u><u> </u><u>is</u><u> </u><u>5</u><u>.</u><u>0</u><u>7</u><u>cm</u>

5 0
3 years ago
Four times the cube of a number is less than the difference between forty and the number. Select the inequality that represents
tigry1 [53]

<u>Answer:</u>

4x^3 < 40 - x

<u>Explanation:</u>

let the number be x, now we are given that four times the cube of a number which means four multiplied by the cube of number

i.e 4 multiplied by x^3 is less than the difference of 40 and the number x i.e 40 - x

x is for sure less than 40 as x^3 is less than the difference between 40 and x so if we write x - 40 then we will obtain negative value which will be greater than x^3.

So, the inequality obtained can be written as 4x^3 < 40 - x

6 0
3 years ago
Read 2 more answers
find the derivative with respect to x of f(x)=4x , and use it to find the equation of the tangent line to y=4x at x= 5
seropon [69]

Answer:

F(x)=4X X=5

F(5)=4X

4(5)

20

Y=4(20)

Y=80

4 0
3 years ago
Find the volume and surface area of the square pyramid
Montano1993 [528]

The volume and surface area of the pyramid will be 392 / 3 cubic units and 189 square units. Then the correct option is A.

The complete question is attached below.

<h3>What is the volume and surface area of the pyramid? </h3>

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

The surface area of the pyramid will be

SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)

Then the volume will be

V = (7 × 7 × 8) / 3

V = 392/3 cubic units

Then the surface area will be

SA = 2(1/2 × 7 × 10) + 2(1/2 × 7 × 10) + (7 × 7)

SA = 189 square units

Then the correct option is A.

More about the volume and surface area of the pyramid link is given below.

brainly.com/question/23302816

#SPJ1

4 0
2 years ago
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

- x + 2 = 4 ( subtract 2 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

Hence solutions are x = - 2, x = 6

7 0
3 years ago
Read 2 more answers
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