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Readme [11.4K]
3 years ago
9

Urgent due for tommorow . will mark brainliest and get 50 ptsplz show workings​

Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Answer:

Step-by-step explanation:

Sec B

1) 5p⁻³ = 8*5⁻²      

p⁻³  = 2³*5⁻²/5            

p⁻³ =2³*5⁻³             { 1/a^m = a^-m}

p⁻³ = 5⁻³ /2⁻³            {a^m = 1/a^-m}

p⁻³ = (5/2)⁻³

p= 5/2

2) 4x²  = 81

x²  = 81/4

x²  = 9² /2²

x²  =(9/2)²

x = 9/2

3) 9^x/3 =81

9^x/3 = 9^2

Comparing the powers, x/3 = 2

                                         x = 2*3 =6

  x = 6

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The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice
Svetach [21]

Answer:

The radius of the circles are 4\ m  and   8\ m

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

\pi x^{2} +\pi y^{2}=80\pi

x^{2} +y^{2}=80 -----> equation A

Remember that

x=2y -----> equation B

substitute equation B in equation A and solve for y

(2y)^{2} +y^{2}=80

4y^{2} +y^{2}=80

5y^{2}=80

y^{2}=16

y=4\ m

Find the value of x

x=2y

x=2(4)=8\ m

therefore

The radius of the circles are 4\ m  and   8\ m

4 0
3 years ago
The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the ro
Yuki888 [10]

Answer:

[ext]T(x) = 2C / Speed[/ext]

Step-by-step explanation:

[ext]Time taken for the Ranger to get to the car = Sum total time taken to travel in the forest and on the road[/ext]

Since [ext]distance of the Ranger to the car = C[/ext]

[ext]Time taken = distance/speed[/ext]

[ext]Total Time taken T(x) = 2 * C / speed[/ext]

T(x) = 2C / speed

4 0
3 years ago
The area of a rectangle is 66 ft^2 and the length of the rectangle is 7 feet less than three times the width find the dimensions
Ber [7]
<h2>Length = 11</h2><h2>Width = 6</h2>

The area of a rectangle is 66 ft^2:

L * W = 66

Length of the rectangle is 7 feet less than three times the width:

L = 3W-7

Substitute L in terms of W:

(3W-7) * W = 66

Factorise the equation:

3W^2 -7W = 66

3W^2 - 7W - 66 = 0

Factors of 66 =

1 66, 2 33, 3 22, 6 11

(3W + 11) (W - 6) = 0

Solve for W:

3W + 11 = 0

3W = 11

W = 3/11

W - 6 = 0

W = 0 + 6

W = 6

Using the original equation, find L:

L = 3W-7

L = 3(6)-7

L = 18-7

L = 11

L * W = 66

11 * 6 = 66

4 0
3 years ago
Read 2 more answers
60 points and brainiest!!!!!! Pls help me
Svetlanka [38]

Answers:

1.) x - 3, x < -3

2.) x - 3, x>3

3.) x - 3, -3 <_ x > 3

4.) 2/5, 3/6

5.) 8, 10

7 0
3 years ago
Read 2 more answers
Observe the expression below and select the true statement(s). ore than one answer possible.
mars1129 [50]
Here are the true statements:

The 6 in the third term is a coefficient. It is paired with a variable so it is a coefficient.

The y in the third term is a factor because it is being multiplied by (6x + 7).

The 9 is a constant because it is just a number in the second term.
7 0
3 years ago
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