Which equation can be used to find the unknown length, a, in this triangle?
A right triangle has a side with length 15 meters and hypotenuse with length 17 meters. The other side is labeled a.
a squared + 15 squared = 17 squared
15 squared + 17 squared = a squared
a squared + 15 = 17 squared
a + 15 squared = 17 squared

Answers

Answer 1

9514 1404 393

Answer:

  (a)  a squared + 15 squared = 17 squared

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides is equal to the square of the hypotenuse.

  a^2 + 15^2 = 17^2 . . . . . . matches the first choice

Answer 2

Answer:

Solution :-

We know that

Base² + Length ² = Hypotenuse²

(a)² + (15)² = 17²

So,

Option A is correct

If we solve it

(a)² + 225 = 289

(a)² = 289 - 225

(a)² = 64

a = √{64}

a = 8

[tex] \\ [/tex]


Related Questions

what is 2+2 4+4 8+8 i need math help

Answers

Answer:

2+2 is 4 4+4 is 8 8+8 is 16

Step-by-step explanation:

if you need them added up here: 4+8 =12 12+16 = 28

What is the 31st term in the sequence 204,200,196

Answers

Answer:

a(31) = 84

Step-by-step explanation:

The first term, a(1) is 204, and the common difference is 4.  That is, each new term is 4 less than the previous term.

The rule governing this arithmetic sequence is

a(n) = 204 - 4(n - 1)

and so the 31st term is

a(31) = 204 - 4(30) = 84

What is the measure of an interior angle of a regular 360-gon

Answers

Answer:

The sum of any 360-gon's interior angles is 64440 degrees.

Step-by-step explanation:

Answer:

64,440 is the sum of all the interior angles, 179 is the measure of one interior angle

Step-by-step explanation:

We will use the equation x = (n-2) 180 x is the sum of all the interior angles and n is the number of sides this figure has, so we solve

x = (360-2) 180

x= (358) 180

x= 64,440

So the sum of all the interior angles is 64,440

to find each interior angle we must divide the sum of all the interior angles by the number of sides the figure has, so we would divide 64,440 by 360

64,440/360 = 179

Therefore, the measure of each interior angle is 179

g (x) = x 3 - 3
what is the value of x when g (x) = 24? enter in the box

Answers

For this, x would equal 24 so it’d be 24(3)-3! 24 times 3 equals what and subtract 3 from that answer!
Im not sure , what is the value of g ?

Can someone help please?

Answers

Step-by-step explanation:

abcdefghijklmnopqrstu

Y-int: is positive 4.
Slope: is 2/1x which is also 2x.
The equation: is 2x+4.
If it’s wrong I apologize, I haven’t done this in a while I’m sure it’s correct tho.
I hope this helped.

What are Limit of g (x) as x approaches 4 negative and Limit of g (x) as x approaches 4 plus, if they exist?

Answers

Answer:

The answer is B

Step-by-step explanation:

i got 100%

The limit g(x) is that g(x) = -4 and Lim g(x) = 2.

How to illustrate the limit?

It should be noted that a graph simply means a diagram that shows the relationship between the numbers of measurements.

In this case, from the graph, it can be seen that limit g(x) is that g(x) = -4 and Lim g(x) = 2.

Learn more about limit on:

https://brainly.com/question/23935467

The greatest common factor of two numbers is 4. The sum of the numbers is
76. What are the two numbers?
O A) 14 and 52
OB) 12 and 54
OC) 38 and 48
OD) 24 and 52

Answers

Answer:

The answer correct d

24 (1.2.3.4.6.8.24) 52 (1.2.3.4.52)

24+52=76

What is an equation of the line that passes through the points (4, -1) and
(-8. – 7)?

Answers

Answer:

[tex]y = \frac{1}{2} x - 3[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

gradient of line

[tex] = \frac{ - 1 - ( - 7)}{4 - ( - 8)} [/tex]

[tex] = \frac{ - 1 + 7}{4 + 8} [/tex]

[tex] = \frac{6}{12} [/tex]

[tex] = \frac{1}{2} [/tex]

Substitute m= ½ into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x= 4, y= -1,

[tex] - 1 = \frac{1}{2} (4) + c[/tex]

-1= 2 +c

c= -1 -2 (-2 on both sides)

c= -3

∴ The equation of the line is y= ½x -3.

last question I have ​

Answers

X=13

Hope this helps!

Review the table of values for function K x

Answers

Answer:

44

Step-by-step explanation:

edge

Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7 for pi
A. 353.3
B. 23.6
C.176.6
D.88.3​

Answers

Answer:

d. 88.3

Step-by-step explanation:

Given

Diameter (d) = 15 ft

radius (r) = d / 2 = 15/2 = 7.5 ft

Area of the semi circle

= 1/2 π r²

= 1/2 * 3.14 * 7.5²

= 88.3125 ft²

hope it helps :)❤

Describe how to graph the solution of y ≤ −x2 + 2x.

Answers

Answer:

See graph and explanation

Step-by-step explanation:

Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.

Help pleaseee thank you!!!! Easy

Answers

Answer:

D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

What is the volume of a cylinder, in cubic inches, with a height of 6 inches and a base
diameter of 20 inches? Round to the nearest tenths place

Answers

Answer:

1885.0 inches with rounding 1884.96 without

Step-by-step explanation:

V=πr2h=π·102·6≈1884.95559

Answer:

− 4 cot ( − 45 ) sin ( 330 ) cos ( 390 )

Step-by-step explanation:

A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process

Answers

Answer:

For this process, the capability index is 0.4444

Step-by-step explanation:

Given the data in the question;

Lower specification limit = 22.8 mm

Upper specification limit = 23.2 mm

The standard deviation σ = 0.15 mm

Mean μ = 23

capability index Cpk = ?

Now, Using the formula;

Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]

where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean

so we substitute

Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }

Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }

Cpk = min{ [ 0.4444 ], [0.4444] }

Therefore, for this process, the capability index is 0.4444

Find the value of x. 2x - 5 > 7 *

Answers

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

Answer:

x > 6

Step-by-step explanation:

A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an average of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference

Answers

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

What is the difference in elevation between -92 and 3720

Answers

I think the answer is 381

A person places $686 in an investment account earning an annual rate of 3.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 15 years.

Answers

Answer:

V = $1213.03

Step-by-step explanation:

We can determine the amount of money after 15 years with the given formula:

[tex] V = Pe^{rt} [/tex]   (1)

Where:

V: is the value of the account in t years =?

P: is the principal initially invested = $686                

r: is the rate of interest = 3.8% = 3.8/100 = 0.038

t: is the time = 15 years

By substituting the above values into equation (1) we have:

[tex]V = Pe^{rt} = 686*e^{(0.038*15)} = 1213.03[/tex]  

               

Therefore, the amount of money is $1213.03.

I hope it helps you!  

Would appreciate someone’s help :)

5) Find the length of all four sides of this rectangle. Use the distance formula and the points given - DO NOT JUST
COUNT SQUARES.


Answers

Count the squares

Side 1:5

Side 2:7

Side 3: 5

Side 4: 7

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

The volume of Kuron Pool is 600ft³.

Step-by-step explanation:

Rectangular prisms are basically cuboids.

So using the formula to calculate volume of the cuboid i.e.

V = length x breadth(width) x height

= 15 x 8 x 5

= 600ft³

Solve for X!!! i neeed help
spam will be reported.

Answers

Answer:

x=5

Step-by-step explanation:

All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.

If this has helped please mark as brainliest

name the coefficient in the expression below -10+8

Answers

Answer:

Step-by-step explanation:

I don't think there are any coefficients because they have to be attached to a variable. So they are both constants. A coefficient is a number used to multiply a variable.

Answer:

-10 + 8 = -2

Step-by-step explanation:

You can rewrite -10 + 8 as 8 - 10 if it helps you solve it easier.


What is the correct ratio? *

Answers

Answer:

The correct ratio is 40/41

PQRS is translated 3 units down. What are the coordinates of R' , the image point of R' after the translation
A.(1,0)
B.(1,3)
C.(4,0)
D.(4,-3)​

Answers

Answer:

I think its D but I might be wrong

Step-by-step explanation:

Five times a number is 80 less than 7 times the number. Find the number.

Answers

I think its 16 but im not completly sure

Pls I need alot of help
Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron –

a four‐sided shape with each side an equilateral triangle. Each side of the die contains

one of the digits 1, 2, 3, or 4.

a. Create the sample space of all possible outcomes if you were to roll the two dice

simultaneously. List the digit on the first die first and the digit on the second die

second (i.e. 1,1; 1,2; and so on.) (10 points)

b. What is the theoretical probability that the sum of the two numbers on a roll will

be five? (2 points)

c. If Grace and her friends were to roll the two dice 100 times, how many of the

100 times could they expect to roll the same number on each die? (In other

words, the outcome would be 1,1 or 2,2 or 3,3 or 4,4.) (4 points)

Answers

Answer:

Step-by-step explanation:

Very interesting problem. Be thankful it is not a six sided dice.

Part A

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

Part B

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

Part C

The theoretical out come would be 4 times

4/16 = 0.25

On a hundred rolls, you would expect to get 25 sets of doubles.

Answer:

The correct answers are:

a.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

b.

4 possible outcomes!

c.

25 sets!

Step-by-step explanation:

a.

Try making a probability by using the counting principle method.

1  1   1  2    1  3    1  4    2  1    2  2    2  3    2  4

3  1   3  2   3  3    3  4    4  1   4  2    4  3    4  4

These numbers are the possible outcomes. Each 2 numbers stand for 1 outcome.

b.

16 possible outcomes

1   4    4  1    2  3    3  2

4/16 possible

P(5) = 4/16 = 0.25

c.

The theoretical outcome = 4 times

4/16 = 0.25

25 sets of rolls are expected to be rolled on the same number per 100 rolls.

I hope this helps! Have a good day ;)

Please mark this as brainliest please! I would appreciate it! :)

Erin writes the set of ordered pairs below. The set represents a function.

{(3,−3),(5,0),(−1,4),(−6,7)}

Erin claims that she can add any point to the set and have the set still represent a function.

Which of the following points can be used to show that Erin's claim is incorrect? Select THREE that apply.
A.
(−6,1)

B.
(−1,9)

C.
(0,5)

D.
(1,7)

E.
(3,−2)

PLEASE SELECT THREE AND NOT JUST ONE.
Also, I tried plotting these points and they don't form a line so please take that into consideration.

Answers

Answer:

A,B,

Step-by-step explanation:

A function cannot have the same x values but can have the same y values.

Is D supposed to be (-1,7) by the way? If it is the answer will be A,B,D.

If this answer has helped you please mark as brainliest

Answer:

A,B

Step-by-step explanation:

Just trust

A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
4
11
14
16

Answers

Answer:

4

Step-by-step explanation:

4 because there are 4 kinds of marbles

2log20-3log2+log6-log3​

Answers

What that even supposed to mean

Answer:

Don't know what this is

Step-by-step explanation:

But I'll take some points lol

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