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andreev551 [17]

2 years ago

9

Yesterday Jefferson slept for 7 hours and 45 minutes. Katherine slept for 8 hours and 25 minutes. How much longer did Katherine

sleep than Jefferson?

1 answer:

xxTIMURxx [149]2 years ago

6 0

8 hours and 75 minutes later at the park and then I’ll be home Jefferson

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The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t

Alexeev081 [22]

Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8

Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.

Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0

3 years ago

Which expression shows the result of applying the distributive property to 3(1/5 x - 1/7)

steposvetlana [31]

Answer:

o.6x- 0.42857142857

Step-by-step explanation:

7 0

3 years ago

Kevin bicycles a total of 2,340 miles last year. On average, about how many miles did he bike each week? 195 45 44 46

svlad2 [7]

In order to find the average you have to add up all the data values and then find the sum of the data values.

$195 + 45 + 44 + 46 = 330\\\frac{330}{4} = 82.5\\\\$

So on average he ran about 82.5 miles.

7 0

3 years ago

❗️HELP❗️ I need help with part a,b, and c. Idk if I got part a and b correct pls help me! Thank you

finlep [7]

U want me to help u with all

3 0

3 years ago

What is the approximate volume of the cone?

Mnenie [13.5K]

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr² $\frac{h}{3}$

We know the radius = 12

and the height = 8

Substitute :

V = π12² $\frac{8}{3}$

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = $\frac{2^4*3^2*8\pi }{3}$

Cancel the common factor - 3 :

V = $2^4 * 8 * 3\pi$

Multiply 8 and 3π :

V = $2^4 * 24\pi$

Solve the exponent :

V = $16 * 24\pi$

Multiply :

V = $384\pi$

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³

3 0

3 years ago