USING A2+B2=c2
For the following right triangle, find the side length x.
DELL

USING A2+B2=c2For The Following Right Triangle, Find The Side Length X.DELL

Answers

Answer 1

Answer:

[tex]x=15[/tex]

Step-by-step explanation:

Pythagorean theorem: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse), a and b are the other sides of the right angled triangle.

In this question, c is labelled as [tex]x[/tex].

Therefore, we can use the theorem to find [tex]x[/tex].

[tex]x^2 = a^2+b^2[/tex]

So, substitute in the other sides and solve for [tex]x[/tex].

[tex]x^2 = (9)^2 + (12)^2\\x^2 = 81 + 144\\x^2 = 225\\x = 15[/tex]

We can see the answer is correct because it is meant to be the largest side and [tex]15> 12>9[/tex].


Related Questions


How can you tell how many solutions a quadratic equation has by looking at its graph

Answers

Answer:

2

Step-by-step explanation:

A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .

please help me with this. will give brainliest due in 5 minutes

Answers

Answer:

A

Step-by-step explanation:

How long will it take $10,000 to double at 11% simple interest? (Round to the nearest year)

Answers

Answer:

[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]

Given A =20000

[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]

T =9years

Chloe breaks into the pantry after Albert goes to work. She finds and opens a family-pack of mixed nuts. After surfing the web, she finds that these packs claim to be 20% almond (A), 30% cashew (C), 10% macadamia (M), and 40% peanut. Chloe discovers that her bag contains 14 almonds, 28 cashews, 6 macadamias, and 52 peanuts.
a) Perform an appropriate test to determine whether this claim is true or not at a = 0.05. State all the relevant steps (listed in exercise 1).
b) What is the decision and conclusion (write a sentence) at a = 0.1?
c) Chloe is a choosy and sneaky doggie. She likes to find a p-value first and then come up with a significance level, a later so she can reject as many Hos as possible. Is her method acceptable?

Answers

Solution :

In this case we have to use [tex]$\text{chi square test}$[/tex] for the goodness of fit.

Null hypothesis is : [tex]$H_0 :$[/tex] Data follows the given distribution

Alternate hypothesis is : [tex]$H_a:$[/tex] Data do not follow the given distribution

The level of significance, [tex]$\alpha = 0.05$[/tex]

The test statistics is given by :

Chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex]

Here O is the observed frequencies

         E is the expected frequencies

So we have, N = number of the categories = 4

df = degrees o freedom = N - 1

                                        = 4 - 1 = 3

Critical value  = [tex]$7.814727764$[/tex]

Calculating the table for the test statistics are given as :

  Category      prop.     O        E       [tex]$\frac{(O-E)^2}{E}$[/tex]

   A                   0.2     14       20         1.80

   C                   0.3     28       30         0.13

   M                  0.1        6        10          1.60

  P                    0.4      52       40         3.60

Total                  1        100      100        7.13

The test statics = chi square  = [tex]$\sum\frac{(O-E)^2}{E}$[/tex] = 7.13

[tex]$X^2$[/tex] statistics = 7.13

P-value = 0.067767248

P -value > [tex]$\alpha = 0.05$[/tex]

Therefore, we do not reject the [tex]$\text{null hypothesis}$[/tex]. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.

J.UIV1.2.2 DUN 2 formative Jackson, Braddyn OO 10 1 Abox, shaped like a rectangular prism, is shown below. 2 in. 8 in. 10 in. What is the surface area of the box? 232 square inches 160 square inches 116 square inches O 96 square inches ?​

Answers

Answer:m

Step-by-step explanation:

what is 2476476263278x342234324

Answers

Answer:

8.4753518e+20

Step-by-step explanation:

I used calculator. You should've used a calculator too.

Ameer uses 1/4 of a bottle of shampoo to give each of his dogs a bath. He has 5 dogs all together. How many bottles of shampoo does Ameer need?​

Answers

1 1/4 bottles of shampoo

Explanation:
1/4 x 5 = 1 1/4

If anyone disagrees with my answer, pls say if im incorrect in the com.mentz

Plsss mark me brainliest TY!
Have a nice day!

factorise: 18x - 42y + 30z

Answers

Answer:

divide by 6

6 ( 3x - 7y + 5z )

Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?

Answers

Answer: 1/10

Step-by-step explanation:

Answer:

1/10 pound

Step-by-step explanation:

If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.

Simplify the expression
-2(5z -7)

Answers

-10z+14 would be the simplified answer

What 68784 rounded to the nearest thousandth?

Answers

Answer: 6,9000

Step-by-step explanation:

Find the surface area of the prism.

Answers

s = 2b + PH  

s =  4(3 * 4) + (8)(96) =

s = 4(12) + (8)(96)

s =  48 + (8)(96)

s = 48 + 768

s =  816

Mindy is making a wood desk. Pour choices of wood and the cost for different lengths are shown in the table.
Type of Wood Cost per Length Length


$4.97 1 m
Maple $0.07 1 cm
Oak
$15.99 2 m
Walnut
$0.98 1 din
Which type of wood has the LEAST expensive price per unit length? (Note: 100 cm = 10dm = 1m)
O A Ash
OB Maple
Oc Oak
ОО
D. Walnut

Answers

Answer:

Step-by-step explanation:

A

Please Help if you can!! I also have more questions in my profile!

Answers

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

The table shows the number of points Malik and Alexia scored while playing a video game together. Which equation relates Alexia’s score, a, to Malik’s score, m?

A. a=0.5m
B. a=1.5m
C. a= m+10
D. a=m+30

Answers

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

HELP



WILL



GIVE BRAINLIST
...
.

.
..
.

.

Answers

His total weight gain was 9379

The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help

Answers

Answer:

27,29

Step-by-step explanation:

mrs.johnson is working on math with a group of students. she has a total of 15 students. 9 of them are girls. what is the ratio of boys to girls for mrs.johnsons math group?

make sure you simplify all ratios and fractions

Answers

Answer:

6

Step-by-step explanation:

the rest are boys

n more than 12
A) n/12
B) 12 +n
C) 22
D) 12-n

Answers

Answer:

B) 12 +n

Step-by-step explanation:

"More than" is a key word.

Whenever you see more than, you are adding.

The answer is B hope this helps

Which equations is parallel to y=4x+8?

Answers

Answer:

y=4x-8

hope this helps

have a good day :)

Step-by-step explanation:

Write an equation for the proportional relationship shown in the table

Answers

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

Please answer it. I will give brainliest if its correct..

Answers

Line EB is a diameter which splits the circle in the middle so the arc of EB would be half the circle. The arc goes through B and continues to C making the arc longer than half the circle.

An arc that is longer than half a circle would be a major arc.

The answer is: Major Arc

7m + 3mn
when m = 3 and n = -4

Answers

Answer:

-15

Step-by-step explanation:

When m=3 and n=-4

So, put the values

7(3)+3(3)(-4)

-> -15

Answer:

-15

Step-by-step explanation:

= 7(3) + 3(3)(-4)

= 21 + 3(3×-4)

= 21 + 3(-12)

= 21 + -36

= 21-36

= -15

Help!!!
What expression shows the relationship between the value of any term and n, its position in the sequence for the
given sequence?
-5, -8, -11, -14, -17, ...
A)
2n
B)
2n + 1
C)
n+3
D)
-3n - 2

Answers

Answer:

D) -3n - 2

Step-by-step explanation:

Hope this helps

What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5

Answers

Answer:

The lead coefficient is 8

Step-by-step explanation:

This is because it is the biggest number that is right before the x or that is the coefficient.

The leading coefficient of the polynomial is given by C = 3

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = 3x² + 8x + 5

On simplifying the equation , we get

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3

Hence , the lead coefficient of this polynomial is 3

To learn more about polynomial equations click :

https://brainly.com/question/13199883

#SPJ2

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Answers

Answer:

4/ 7-4

Step-by-step explanation:

f(x) = 3√4x
g(x) = 2x + 3
Find ( f/g) (x). Include any restrictions on the domain

Answers

Answer:

B

Step-by-step explanation:

To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  [tex]2x + 3\neq 0[/tex] and we can solve it:

[tex]2x\neq -3[/tex]

[tex]x\neq -\frac{3}{2}[/tex]

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

Learn more here: https://brainly.com/question/11187697

What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?

Answers

Answer:

option D)

Step-by-step explanation:

when a equilateral triangle  is rotated about x-axis

rotating equilateral triangle about x-axis will lead to the formation of cone in.

the height of the equilateral triangle  will represent height of the cone.

the base of the equilateral triangle will represent the circular base of the cone

and the slant height of the cone will represented by the sides.

hence, the correct answer will cone which is option D)

ASAP HELP PLEASE I WILL GIVEE 100 just help me please and ASAP

Answers

Answer:

A

Step-by-step explanation:

Find the length of c using the Pythagorean theorem

Answers

Answer:

13

Step-by-step explanation:

The Pythagorean theorem state

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = c^2

25+144 = c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

Other Questions
A law firm is an example of a CorporationConglomeratePartnershipSole Proprietorship 3. At the beginning of the story, Nick says that Gatsby "represented everything for which Ihave an unaffected scorn."Is this still true at the end?What does nick "scorn" (hate) and does Gatsby truly represent these things? Explain.(25 Points) Find the surface area of the prism. Hi guys which one is the answer plz help:(:((??? Plant A is 14 inches tall and growing at a rate of 0.5 () inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height? Maria is considering buying a television, a computer, and a refrigerator for her new apartment. Maria will pay an extra if she uses the rent-to-own program to buy the television, rather than the installment plan. Marias monthly budget is $200. If she uses the installment plan, she will be able to afford . Why are the teachings of Confucius so important to the people of East Asia, specifically? A 24.0 gram sample of copper wasncated from 25.0C to 500.0C 43783of heat were absorbed, what is theSpecific_heat of copper? What is meant by a balanced budget?A. inflows are greater than outflowsB. inflows are less than outflows C. inflows are equal to incomeD.inflows are greater than or equal to outflows. what is the best part of the world What was a lasting impact of Ancient Rome?A.Its economy was based on agriculture.B.It developed along the Tiber River.C.Kings ruled the empire and made decisions.D.Latin helped create other languages. A solution with a pOH of 4.3 has a [H+] of ??please help Which of the following are considered gases?Check all that apply.A. HeliumB. AirC. WoodD. OxygenE. Gravity factorise: 18x - 42y + 30z Highway safety engineers want to design roadside barriers that will crumplein the event that a car drives off the road and collides with them, slowingdown the car more gradually. The average person has a mass of 68 kg andtravels on a highway at a velocity of 27 m/s. If the engineers know that themaximum force that a person can safely withstand is 2180 N, approximatelyhow much time is required to crumple the barrier to safely slow the personwith this force? Can someone Please help me find the area of the square I already know the perimeter. The epicenter of an earthquake is located 6,500 kilometers away from a seismic station. If thefirst S-wave arrived at this seismic station at 1:30 p.m., at what time did the first P-wave arrive?A)1:20 p.m.B)1:22 p.m.C)1:38 p.m.D)1:40 p.m. can somebody help me with this. Graphics in a functional text like instructions for programming your iPod should be _____.helpful for understanding the directionspurely decorativepresent to take the place of readingincluded for people who would rather view a diagram than read Which expression is not a trinomial?A. x^4+x-2B. 3x^3 +3^3C. 2x^3 + x^2 - 4x - 2x^3 +1D. x^2+x+1