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aalyn [17]
2 years ago
14

Help pls pls pls pls

Mathematics
1 answer:
Rufina [12.5K]2 years ago
7 0

Answer:

im begging

Step-by-step explanation:

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Find the length of the third side. If necessary, write in simplest radical form.
Mazyrski [523]

Answer:

\boxed {\boxed {\sf 8}}

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

a= 7 \\b= \sqrt{15}

Substitute these values into the formula.

(7)^2+(\sqrt{15})^2=c^2

Solve the exponents.

  • (7)²= 7*7=49

49+ (\sqrt{15})^2=c^2

  • (√15)²=√15*√15=15

49+15=c^2

Add.

64=c^2

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c

The third side length is <u>8.</u>

6 0
3 years ago
Read 2 more answers
Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria
TiliK225 [7]

GIVEN

The following values are given:

\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

z=\frac{x-\mu}{\sigma}

For x = 9:

\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}

For x = 14:

\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}

The probability can be calculated as follows:

P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671

The probability is 0.4671.

8 0
1 year ago
In rectangle PQRS, SQ = 78, PS = 30, and mPRS = 23°. Find SR.
kondor19780726 [428]
\cos (23)=\frac{sr}{78}\rightarrow78\cdot\cos (23)=SR=67.20

7 0
1 year ago
What is the following product?
Leona [35]

Answer:

First option: 6y^2sqrt(10) + 12sqrt(5y)

Step-by-step explanation:

3sqrt(10) * (2y^2 + 2sqrt(2y)

= 6y^2sqrt(10) + 6sqrt(20y)

= 6y^2sqrt(10) + 12sqrt(5y)

3 0
2 years ago
PLZ HELP ITS BEING TIMED PLZ SOMEONE ANSWER!!!!!
Eduardwww [97]

Answer: First, you identify how many rises and runs the line is from each point on a graph (intersection). Then you take the y's and the x's and do y2-y1/x2-x1 to get the slope!

6 0
2 years ago
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