A right triangle has sides of length 3, 4, and x .Find x if it is the hypotenuse

A Right Triangle Has Sides Of Length 3, 4, And X .Find X If It Is The Hypotenuse

Answers

Answer 1
Answer:  D) 5

Work Shown:

a = 3 and b = 4 are the two legs

c = x is the unknown hypotenuse

Use the pythagorean theorem to solve for c

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c^2 = 25

c = sqrt(25)

c = 5

Answer 2
Final answer:

This question involves using the Pythagorean theorem to find the length of the hypotenuse of a right triangle. Given the lengths of the sides as 3 and 4, we find that the hypotenuse (denoted as 'x') is 5.

Explanation:

The subject of this question is mathematics and it is related to finding the length of the hypotenuse of a right triangle using the Pythagorean theorem. In the case of this problem, the two sides of the triangle are given (3 and 4) and the hypotenuse (x) is what we are solving for.

The Pythagorean theorem is as follows: a² + b² = c². In this notation, a and b are the lengths of the two sides, and c is the length of the hypotenuse. Given that a is 3 and b is 4, to find out x (or c in the formula), we square each of those values (3² + 4²) and get 9 + 16, respectively. This means x² = 25, so the value of x (the hypotenuse) is √25, which equals 5.

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Related Questions

F(x) = 5x -3 solve for f(5)

Answers

Answer:

22

Step-by-step explanation:

f(x)=5x-3

f(x)=5(5)-3

f(x)=25-3

f(x)=22

Answer:

[tex]f(5)=22[/tex]

Step-by-step explanation:

since the function is f(x), then you would plug in the 5 since that is x value that is being given then it would be [tex]f(5)=5(5)-3[/tex]. from there multiply 5 and 5 to get 25 then subtract 3 to get 22.

The graph shows f(x) = |x – h| + k. What is the value of h?

Answers

Answer:h=1

Step-by-step explanation:

A

Step-by-step explanation:

edge2021 Algebra

The expanded form 700,000 + 10,000 + 3,000 + 9 represents the whole number

Answers

Answer:

713,009

Step-by-step explanation:

Please answer and tell me how you did it. Unfortunately, I would give more points but there's still more questions I need.

Answers

Answer:

y=3x

Step-by-step explanation:

if you look 3*3=9   5*3=15 8*3=24 and 10*3=30 so they are taking x*3

Answer:

Y=3x

Step-by-step explanation:

The way a function table works is how x has something done to it to equal y. So if x =4, and y=16

You could formulate the equation y= 4x.

So if we look at the patterns

3 to 9

5 to 15

8 to 24

10 to 30

Y is equal to x times 3.

3(x)·3=9(y)

3(x)=y

3x=y

The equation would be 3x=y

ON THE SMARTBOARD, THE
MATH TEACHER DREW A
RECTANGLE WITH A PERIMETER
The
OF 406 cm. THE LENGTH OF THE
RECTANGLE IS 7cm LONGER
THAN THE WIDTH. FIND THE
DIMENSIONS OF THE RECTANGLE.

Answers

The length of rectangle is 105 cm and width is 98 cm.

Step-by-step explanation:

Given,

Perimeter of rectangle = 406 cm

Let,

w be the width of rectangle

Length of rectangle = w+7

We know that

Perimeter of rectangle = 2(Length + Width)

[tex]406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392[/tex]

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{392}{4}\\w=98[/tex]

Width of rectangle = 98 cm

Length of rectangle = 98+7 = 105 cm

The length of rectangle is 105 cm and width is 98 cm.

Whats the midpoint of (3,-8) and (5,-2.5)

Answers

(4, -5.25) ................

Can someone help with this? My daughter needs help with these.

Answers

Answer:

the missing side length for the shape with a perimeter of 43 m. is  12

Step-by-step explanation:

the missing side length for the shape with a perimeter of  62 ft is 16

the missing side length for the shape with a perimeter of  33 cm is 5

the missing side length for the shape with a perimeter of  68 in is 24

In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.

Answers

Answer:

f=127 cm

Step-by-step explanation:

Law of Cosine:

x squared=92 squared+42 squared-2(92)(42)(cos 141)

x squared =8464+1764-7728(cos 141)

x=127 cm

Find the slope of the line that goes through the points
(12,-14) and (3,-12)
Slope, m=

Answers

Answer:

-2/9

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (-12- -14)/(3-12)

    =(-12+14)/(3-12)

    =2/-9

   = -2/9

Making late payments helps maintain a positive credit history(True or false?

Answers

Answer:

no

Step-by-step explanation:

Answer: false

Step-by-step explanation:

Here is how Lydia found the product 4/5 x 10. Use the model given to show that Lydia’s answer is correct.

Answers

-[tex]\frac{10}{1}[/tex]Answer:

lydia's answer is correct.

Step-by-step explanation

 4/5 X 10=8 because

[tex]\frac{4}{5}[/tex]  X [tex]\frac{10}{1}[/tex]  -->we do the denominator first so 5 x 1 = 5 so now it's

[tex]\frac{4}{5}[/tex] [tex]\frac{10}{5}[/tex] so 4 X 10= 2 x 5(we replace 10 with that ) over 5  and the you will be left with 4 x 2 over 5  that is because 5 and 5 canceled out so

now  you're left with this 4 x 2 = 8 so 8 is you final answer without the fraction :) hope this helps

                                                                                         

HELPPPPPPPPPPPPPPPPPPPPP 29PTS AND BRAINLIEST A box at the post office has dimensions as shown below. A rectangular prism with a length of 12 inches, width of 8 inches, and height of 16 inches. What is the volume of the box? A.1,304 B.1,536 C.1,636 D.2,304

Answers

Answer:

b)1536

Step-by-step explanation:

We find the volume of a rectangular prism by using the formula Bh

or l x w x h

8x12x16=1536

brainliest plz i need one more

Answer:

B.1,536

Explanation:

length x width x height = v

12 x 8 x height = 96 x height

12 x 8 x 16 = 1536 or v

An item is regularly priced at $85. It is now priced at a discount of 60% off the regular price. What is the price now?

Answers

Answer:

34$

Step-by-step explanation:

plz make brainliest

A chorus has twelve music stands for thirty singers. What is an equivalent ratio of music stands to singers?

Answers

Answer:

2:5

Step-by-step explanation:

12:30 would be 40% then simplify by dividing each number by 6.

Answer:

2.5

Step-by-step explanation:

What expression represents the value of v?
1.) v = [tex]\sqrt{zy}[/tex]
2.) v = [tex]\sqrt{wz}[/tex]
3.) v = [tex]\sqrt{w(w+z)}[/tex]
4.) v = [tex]\sqrt{z(w+z)}[/tex]

I know for a fact that 1 is not the answer. See the attached image for the triangle in question.

Answers

The expression represent the value of v is :[tex]v=\sqrt{z(w+z)}[/tex]

The correct option is D

We have the attachment.

As shown, when deconstructing the largest right triangle, we got two similar triangles.

The corresponding sides of similar are proportional. Therefore, we can write the following proportion:

v/ w+ z = z/v

By Cross - multiply, we get:

z(w + z) = [tex]v^2[/tex]

And taking the square root of both sides, we get:

[tex]v=\sqrt{z(w+z)}[/tex]

So, The correct option is D

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5. In the figure, BE||CD. Solve for x. Show your work.

Answers

Answer:

x = 15

Step-by-step explanation:

There are theorems regarding Property of Similar polygons.

Corresponding sides are in proportion.

triangle ABE is similar to triangle ACD

so

AB:BC = AE: ED

x:10 = 9:6

(x/10) = (9/6)

x = 10*9/6 = 5*3 = 15

Question 1(Multiple Choice Worth 3 points)
(08.05)Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?

96 points
97 points
98 points
99 points

Answers

Answer: D) 99 Points

Step-by-step explanation: Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests

Therefore the totals points are 351

351 is her total score for 4 tests, if she gets an average score of 90 on her fifth test then all we have to do is:

5 x 90 = 450 (The 5 being her fifth test)

450-351 = 99

Option D

cross products question, 3/5 over x multiplied by 12 over 20
what is x

Answers

Answer:

9/25x

Step-by-step explanation:

3/5/x ×12/20

3/5×1/x ×12/20

36/100x

Divide both by 4

9/25x

The exact value of x cannot be determined because we don't know what the equation is equated to

So we will have to leave the answer as 9/25x

A rectangular box has a length of 8 feet and a width of 2 feet. The length of the three-dimensional diagonal is 10 feet. What is the height of the box?

Answers

Answer:

The answer is 4√2 ft i.e (5.66ft)

Step-by-step explanation:

The length, width and height of a rectangular box are all perpendicular.

This means the length of the diagonal is the Pythagorean distance of the three sides.

So, square of diagonal = L^2 + W^2 + H^2

So,

100 = 64 + 4 + H^2

H^2 = 100 - 68 = 32

H = √32 = 4√2 = 5.66ft

Nadia says the hypotenuse of the right triangle has a length of 73 because the Pythagorean theorem states that (28+45)squared equals to 73squared. Which describes her solution?

Answers

Answer: Her solution is incorrect. The hypotenuse is 53 units

Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.

The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;

73^2 = 28^2 + 45^2

5329 = 784 + 2025

5329 ≠ 2809

As we have determined, writing out the expression as

73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.

The correct solution is as follows;

AC^2 = AB^2 + BC^2

AC^2 = 28^2 + 45^2

AC^2 = 784 + 2025

AC^2 = 2809

Add the square root sign to both sides of the equation

AC = 53

Therefore, the hypotenuse is 53 units

It would be C, because when you find the length using th pythagreon theorem... you can begin to see the relationship through all of the figures and side lengths... Make sense?

In November, Mr. Lee’s students read 50 books. In December, they read 40 books.
What is the percent increase or decrease in the number of books they read?

Answers

Answer:

20% decrease

Step-by-step explanation:

Start by dividing 40 by 50.

40/50 = 0.8

0.8 is the decimal form of 80%. So now we know that 40 is 80% of 50. This means that the remaining 20% is the difference between the books read in November and December.

Ella ate half of her gummy bears before adding thirteen more to the bowl.if she now has 25 gummy bears.how many did she start with??

Answers

she ate half before adding 13 so half was 12 which means she started with 24 bear gummies

12+13=24
she started with 12 gummy bears and then added 13 which equals 25

A construction manager weighs a bundle of 9 identical bricks and a 7 pound concrete block. The bundle weighs 30 pounds.

Answers

Answer:

30 = 9x + 7

Step-by-step explanation:

The total weight of the bundle = 30 pounds

The weight of the bricks = x pounds

But he carried 9 bricks = 9x pounds

He also carried additional 7 pounds of concrete block.

An equation to show the total weight he carried is

30 pounds = (9x + 7) pounds

Since 9x represents the total weight of the bricks he carried

7 represents the weight of the concrete block

And 30 pounds represents the total weight of everything he carried.

Use elimination to solve the system of equation
4x+y=-2
3x+2y=6







Answers

Answer: x= -2,y=6

Step-by-step explanation:

4x+y= -2......equation 1

3x+2y=6.....equ2

Y= -2-4x........equation 3

Substitute equation 3 into 2

3x+2(-2-4x)=6

Open the bracket

3x+(-4-8x)=6

3x-4-8x=6

3x-8x=6+4

-5x=10

X= 10/-5

X= -2

Substitute for x in equation 1

4x+y= -2

4(-2)+y= -2

-8+y= -2

Y= -2+8

Y=6

Therefore, x= -2 & y=6

What does 30 dozen mean

Answers

Answer:

one dozen = 12 so 30 dozens would be 30 *12

Step-by-step explanation:

Answer:

it basicly means 12x30

so if there is an answer 360

Step-by-step explanation:

A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of a 25% solution should the scientist mix to make the 20% solution?

Answers

Answer:

40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.

Step-by-step explanation:

Given:

A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution.

Now, to find the milliliters of 10% solution and 25% solution to make 20% solution:

Let the 10% solution be [tex]x.[/tex]

And let the 25% solution be [tex]y.[/tex]

So, total milliliters of solution are:

[tex]x+y=120\\\\x=120-y\ \ \ \ .....(1)[/tex]

Now, to get the milliliters of 10% solution and 25% solution to make 20% solution we solve the equation:

[tex]10\%\ of\ x+25\%\ of\ y=20\%\ of\ 120\\\\\frac{10}{100} \times x+\frac{25}{100} \times y=\frac{20}{100} \times 120\\\\0.10x+0.25y=24[/tex]

Substituting the value of [tex]x[/tex] from equation (1) we get:

[tex]0.10(120-y)+0.25y=24\\\\12-0.10y+0.25y=24\\\\12+0.15y=24[/tex]

Subtracting both sides by 12 we get:

[tex]0.15y=12[/tex]

Dividing both sides by 0.15 we get:

[tex]y=80.[/tex]

Thus, the 25% solution is 80 ml.

Now, substituting the value of [tex]y[/tex] in equation (1) we get:

[tex]x=120-y\\\\x=120-80\\\\x=40\ ml.[/tex]

Hence, the 10% solution is 40 ml.

Therefore, 40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.

Find the area of the shape shown below, 7.5, 2.5, 2.5

Answers

A= 12.5 this is correct for the equation
The answer is 12.5 yw gl

What is the sum of the first 20 terms of a finite geometric series where a1 =3 and r = 3/2

Answers

Answer: The answer should be 6

Step-by-step explanation:

will give brainiest if answered first plz helppp!!!!

Answers

Answer:

The answer is b

Step-by-step explanation:

The answer is B.

Since I cant post it until I have 20 letters, lets start a conversation.

Hello. How is your day/night going so far?

Which expression is equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y > 0. Plz help

Answers

Answer:

D

Step-by-step explanation:

I did the work its D on edge.

Final answer:

To simplify the given expression, we first simplify the fraction within the square root, performing the division of similar bases by subtracting exponents. Then, we take the square root of 64 to get 8 and obtain the final simplified expression: 8/x^2y.

Explanation:

To solve the specific expression, equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot, we will start by simplification inside the square root bracket. Perform the division with the fractions first. As a general rule, when dividing powers with the same base, we subtract the powers.

We'll start by simplifying 128/2, which is 64. For x Superscript 5 Baseline / x Superscript 7 Baseline, subtract the exponents, which gives us x to the power of -2 (since 5-7 is -2). For y Superscript 6 Baseline / y Superscript 5 Baseline, we also subtract the exponents, which results in y to the power of 1, or simply y.

Hence, the simplified version of the fraction inside the square root is 64x^-2y. Finally, since the square root of 64 is 8, and the square root of any variable raised to the negative power is the reciprocal of the variable, our final simplified expression is 8/x^2y.

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