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Naya [18.7K]
3 years ago
11

Hannah went swimming after she woke up. It took Hannah 15 minutes to get ready to go swimming. She swam for 30 minutes and then

sunbathed for 25 minutes. Then she talked on the phone with her friends for 35 minutes. She finished talking to her friends at 9:30 a.m. What time did Hannah wake up?
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Find the total minutes:

15 + 30 + 25 + 35 = 105 minutes

This is equal to 1 hour and 45 minutes

Subtract 1 hour and 45 minutes from 9:30

She woke up at 7:45 am

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The hypotenuse of a right triangle is 15 inches. One of the legs is 3 inches more than the other. Find the length of the two leg
Crank
Let x = one of the legs.

Then, the other leg = x + 3.

Ed will use the Pythagorean Theorem to find the hypotenuse.

So, let a = x one leg. Let b= x + 3 the other leg. And, let c = 15 the hypotenuse.

The Pythagorean Theorem is:

c^2 = a^2 + b^2, where a and b are the legs and c is the hypotenuse.

We have:

15^2 = x^2 + (x + 3)^2

225 = x^2 + x^2 + 6x + 9

Rearranging:

2x^2 + 6x - 216 = 0

Divide by 2:

x^2 + 3x - 108 = 0

Solve by factoring:

(x - 9)(x + 12) = 0

So, x = 9 and x = -12. (x = -12 is not a valid answer.)

x = 9

x + 3 = 12

Conclusion: The legs of the right triangle are 9 inches and 12 inches.

Eddie-G…
3 0
3 years ago
The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?
mixer [17]

Answer: Letter B)

A=πr2

d=2r

A=1

4πd2=1

4·π·162≈201.06193

Step-by-step explanation:

Hope this Helps! : )

5 0
3 years ago
Read 2 more answers
If r1 and r2 are the roots of the quadratic equation ax+bx+c=0 show that r1+r2=-b/and r1r2=c/a
velikii [3]
x_{1,2} =  \frac{-b+-  \sqrt{ b^{2} -4ac} }{2a}

is the formula for calculating x1 and x2

To prove x1 + x2 = -b/a all we need to do is to express x1 and x2 from equation above

once we do we will get -2b/2a which is equal to -b/a because square root part will negate each other. one has + sign in front and other - sign

Showing that x1x2 = c/a goes similar way.
the numerator parts is actually difference of squares. after that we will have:
-b^2 -b^2 + 4ac = 4ac

in denominator we have 2a*2a = 4a^2
4ac/4aa = c/a
4 0
3 years ago
Given the sample −4, −10, −16, 8, −12, add one more sample value that will make the mean equal to 3.
Agata [3.3K]

Answer: The value to add to the set is 52

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

For a moment, ignore the extra value we'll add in later.

The given set of values add to -34.

Let x be the extra value we add in. It adds to the -34 to get -34+x, then we divide by 6 because the set {-4,-10,-16,8,-12,x} has 6 items.

So we get the mean (-34+x)/6

Set this equal to the mean we want (3) and solve for x

(-34+x)/6 = 3

-34+x = 6*3

-34+x = 18

x = 18+34

x = 52

The set {-4,-10,-16,8,-12,x} updates to {-4,-10,-16,8,-12,52} and this set has a mean of 3.

6 0
3 years ago
‼️help please ASAP ‼️
Semmy [17]
You'll use the sine trig function because we want to tie together the known opposite side (10) and the unknown hypotenuse (x). 

sin(angle) = opposite/hypotenuse
sin(55) = 10/x
x*sin(55) = 10
x = 10/sin(55)
x = 12.2077 ... make sure your calculator is in degree mode
x = 12.2

Answer: Choice A
6 0
4 years ago
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