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3 years ago

Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)

Mathematics

2 answers:

creativ13 [48]3 years ago

7 0

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b= $\sqrt{c^2-a^2$

b= $\sqrt{5^2-3^2}$

b= $\sqrt{25-9}$

b= $\sqrt{16}$

b=4

givi [52]3 years ago

6 0

Answer:

Step-by-step explanation:

Use the Pythagorean Theorem:

$a^2+b^2=c^2$

The measure of the hypotenuse is 5. The measure of the given leg is 3.

$3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}$

The unknown side of the triangle should be four units.

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2) Solve for x in the following equation: 9x + 17 - 2x -2 = 50 *<br> Your answer

NARA [144]

Answer:

Step-by-step explanation:

7x plus 15 is 50

7x=35

can i pls have brainliest

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3 years ago

Read 2 more answers

Select the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10

morpeh [17]

Answer:

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x,10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x =7.5

Each angle is

6x = 6(7.5) =45

8x = 8(7.5) =60

10x = 10*7.5 = 75

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3 years ago

What is independent. And what is dependent.

rewona [7]

☻ ~~~~~~~~~~~~ Hello! ~~~~~~~~~~~~~~~ ☻

➴ Independent = P Dependent = W

When you wait in line, sometimes there is less or more people. Sometimes, you wait longer than other days. If there are more people, the time will go up. If there are less people, the waiting time will go down. So, the wait is dependent on the number of people.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

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8 0

3 years ago

Rate of change from X = 15 to X = 19.

vova2212 [387]

Answer:

26%

Step-by-step explanation:

Subtract the old amt from the new amt, then divide by the old amt:

19-15/15 = 4/15 = 26.6%. Rounded to the nearest tenth it would be 26%.

8 0

3 years ago

Please help me answer these 2 questions with a FULL explanation so I know how to do the rest myself. Giving brainliest.

sveticcg [70]

Answer to 1:

$\frac{x^3}{2y^25}$

First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7

Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18

Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction. So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.

For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.

If done correctly this should come out to x^3/2y^25

Answer to 2:

(x^20y^12)/256

First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.

Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.

Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).

Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)

Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256

3 0

2 years ago