In the triangle shown below, the side lengths are given in terms of x.
What is the length of the longest side of the triangle when x=8

Answer:

x  =  5  ±  √  2

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can find the longest side I.e. Hypotenuse using pythogorean theorem.

[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

This is your answer hope it helps :)

Answer:

17?

Step-by-step explanation:

a squared + b squared = c squared (hypothenuse longest side)

square them, then add them and square root them.

Answer:

1/3 is the probaility

Step-by-step explanation:

since there are 3 different socks the answer would be 1/3

Answer:

The probability of her pulling of a blue sock the first time is 6 out of 12

The probability of her pulling out a blue sock the 2nd time would be 5 out of 11

Answer:

this is a test im not helping

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Answer:

47

Step-by-step explanation:

i just did this in edge like 20 minuets ago

Answer:

there you go i know im very late but its just another answer eh whatever its fine

Step-by-step explanation:

Answer:

n+5×4-7

Step-by-step explanation:

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

Answer:

100

Step-by-step explanation:

1/10(3n+50)=35

3n+50=35*10

3n+50=350

3n=350-50

3n=300

n=300/3

n=100

Answer:

The mode is the number that shows up the most in the set.

Step-by-step explanation:

1 4 6 3 7 1 1 4 9 1

mode is 1

The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.

Given that,

Define the term 'Mode'.

Since, The mode, in a set of numbers, represents the value that appears most frequently.

It is a measure of central tendency, providing insights into the most common or popular value within the data set.

For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.

In this set, the mode is 5 because it appears more frequently than any other number.

So, The mode, in a set of numbers, represents the value that appears most frequently.

To learn more about the mode visit:

https://brainly.com/question/29288774

#SPJ6

Answer:

B

Step-by-step explanation:

RQ=TV

QS=VU

RS=TU

While proving that 2 triangles are congruent you have to consider the same side for both triangles.

The mistake you made was that you presumed that since both have equal sides they are equal,

In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.

B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched

Happy to help :)

If you need any more help, you can ask me

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

Answer:

$ 352.6

Step-by-step explanation:

SI = P (1 + rt)

= 215 [ 1 + (0.08) x 8]

= 215 (1 + 0.64)

= 215 (1.64)

= $ 352.6

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

Answer:

105 degrees (x2) & 75 degrees

Step-by-step explanation:  

Consecutive Angle Formulas

Step-by-step explanation:

option B 52 is the correct answer of this question.

plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.

Answer: a

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

1 is to 2

Ie

1/2

Step-by-step explanation:

hope it helps

Answer:

2 to 1

which equals 2

Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

we can see that each value is multiplied by 2

Answer:

The other taxes are $135.

Step-by-step explanation:

From the information provided, you know that Oliver pays $180 in payroll tax and that the federal income tax is 0.75 of the payroll tax, so in order to find how much are the other taxes you have to calculate the 0.75 of the payroll tax Oliver pays:

180*0.75=135

According to this, the answer is that the other taxes are $135.

Answer:

y<-13/12

Step-by-step explanation:

12y<-8-5

12y<-13

Answer:

1. Clear parentheses on both sides of the inequality and collect like terms.

2. Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.

3. Multiply and divide by whatever constants are attached to the variable.

Step-by-step explanation:

Hope this helps    :)

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

Answer:x>-3

Step-by-step explanation:

Step-by-step explanation:

la respuesta es -12 pero le puedes sacar la mitad osea -6

Answer:

1. B

2. A

3. I

4. I

These should be correct

Answer:

x = 12

WN = 28

Step-by-step explanation:

SO = WN and SO = 2WI

3x - 8 = 2(x + 2)

3x - 8 = 2x + 4

3x - 2x = 4 + 8

x = 12 now replace x with 12 in the first equation given

3x - 8 = 3×12 - 8

36 - 8 = 28

Answer:

A. 61 degrees

Step-by-step explanation:

tan x = 9/5

[tex]tan^{-1} x=1.8[/tex]

x≈60.9

Answer:

Step-by-step explanation:

f(x)= (x - 3)(x - 5)

f(x) = x^2 - 5x - 3x + 15

f(x) = x^2 - 8x + 15

Answer is A

Answer:

30189.155

Step-by-step explanation:

Recall the compound interest formula :

A = P(1 + r/n)^nt

P = principal = 10000

r = rate = 3.7% = 0.037

n = quarterly = 4

t = 30

A = 10000(1 + 0.037/4)^30*4

A = 10000(1 + 0.00925) ^120

A = 10000(1.00925)^120

A = 10000 * 3.0189155

A = 30189.155