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earnstyle [38]
3 years ago
8

For each problem, find the missing value using the Pythagorean Theorem

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

b = √2

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

<em>a</em> = Leg₁

<em>b</em> = Leg₂

<em>c</em> = Hypotenuse

Step 1: Plug in variables

3² + b² = (√11)²

Step 2: Solve

9 + b² = 11

b² = 2

b = √2

And we have our answer!

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Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawal
Furkat [3]

Answer:

24,880

Step-by-step explanation:

A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:

A= 11,000e(0.048x17) = 24,875.80

round and you get 24,880

i hope this helps

3 0
3 years ago
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a six.
egoroff_w [7]

Answer:

1/13 ≈ 7.69%

Step-by-step explanation:

There are 4 sixes in a standard deck.  So the probability is 4/52 = 1/13, or about 7.69%.

4 0
3 years ago
Solve |x+2| &gt;5-(x-1)^2 by graphing
Anna35 [415]

Answer:

x

<

−

1

or

x

>

2

Step-by-step explanation:

7 0
3 years ago
If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure &amp; the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
PLS HURRY!!!!!!!!!! NEED HELP
GenaCL600 [577]

Answer:

42, 56, 70

Step-by-step explanation:

A right triangle must always have a ratio of side lengths that allow it to connect fully.

7 0
3 years ago
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