What is the length of the dotted line in the diagram below? Round to the nearest tenth.

What Is The Length Of The Dotted Line In The Diagram Below? Round To The Nearest Tenth.

Answers

Answer 1

Using the Pythagorean Theorem, it is found that the length of the dotted line in the diagram below is of 8.6 units.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem:

The length of the dotted line is the hypotenuse of a right triangle with legs 7 and x.x is the hypotenuse of a right triangle with sides 3 and 4.

Hence, the value of x is found as follows.

[tex]x^2 = 3^2 + 4^2[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \sqrt{25}[/tex]

[tex]x = 5[/tex]

Then, the length l of the dotted line is found as follows.

[tex]l^2 = 5^2 + 7^2[/tex]

[tex]l = \sqrt{74}[/tex]

[tex]l = 8.6[/tex]

The length of the dotted line in the diagram below is of 8.6 units.

To learn more about the Pythagorean Theorem, you can take a look at https://brainly.com/question/654982


Related Questions

Miranda is keeping track of how fast her dog is growing. Her dog was 20 inches long at birth and grew 10 inches during the first year.

Which graph shows these two pieces of information?

Answers

Answer: The one in the down right corner

Step-by-step explanation:

Hope this helps :)

it might be the 4th one

HURRY PLEASE HURRY!!!!!!!

On a coordinate plane, point B is at (negative 8, 10), point C is at (8, 10), point D is at (2, negative 2), point E is at (negative 8, negative 4).

Use the diagram to complete the statements.


The length of side BC

.

The length of side CD

.

The length of side ED

.

The length of side BE

Answers

BC= 16 cm
CD= 12 cm
ED= 10 cm
BE= 14 cm

The length of side BC is, 16

The length of side CD is, 13.4

The length of side ED is, 10.2

The length of side BE is, 14

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

On a coordinate plane,

Point B is at (- 8, 10),

Point C is at (8, 10),

Point D is at (2, - 2),

Point E is at (- 8, - 4).

Now, We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ D = √ (x₂ - x₁)² + (y₂ - y₁)²

Thus, The length of side BC is,

⇒ D = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ D = √ (8 - (-8))² + (10 - 10)²

⇒ D = √ 16²

⇒ D = 16

Thus, The length of side CD is,

⇒ D = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ D = √ (2 - 8)² + (-2 - 10)²

⇒ D = √ -6² + (-12)²

⇒ D = √ 36 + 144

⇒ D = √ 180

⇒ D = 13.4

Thus, The length of side ED is,

⇒ D = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ D = √ (2 - (-8))² + (-2 - (-4))²

⇒ D = √ 10² + 2²

⇒ D = √104

⇒ D = 10.2

Thus, The length of side BE is,

⇒ D = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ D = √ (- 8 - (-8))² + (10 - (-4))²

⇒ D = √ 14²

⇒ D = 14

Learn more about the coordinate visit:

https://brainly.com/question/24394007

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The diameter of a circular placemat is 42 centimeters.

What is the approximate area of the circular placemat?

Answers

1385 cm !!!!!!!!!!!!
Answer-
1385cm squealed

PLEASE HELP Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

corresponding alternate interior alternate exterior none of these

Answers

Answer:

alternate exteriornone of these (consecutive exterior)correspondingalternate interiorcorresponding

Step-by-step explanation:

The above list is for the figures numbered 1-3 (left to right) on the top row, and 4-5 (left to right) on the bottom row.

__

"Alternate" angles are on opposite sides of the transversal. If the angles are between the parallel lines, they are "interior" (fig 4). If they are outside the parallel lines, they are "exterior" (fig 1).

"Corresponding" angles are found in the same direction from the point of intersection. Upper-left corresponding angles are seen in fig. 3; lower-right corresponding angles are seen in fig. 5.

The angles marked in figure 2 are "consecutive exterior" angles, also called "same-side exterior" angles. The applicable descriptive choice in this problem is "none of these".

Which expression completes the equation?
(-5y + 18) – (3y + 16)

Answers

answer:

-8y + 2

fyi- this is my first time answering someone but im mostly sure this is right!!!

Answer:

-8y+2

Step-by-step explanation:

question is in the picture (will give brainlyest to the BEST answer)

Answers

a linear function has a infinite number of solutions because every time you multiply it by the square route the way you should and then multiply by seven your answer is all ways infinite

and its spelt brainliest

Whatever they said is right I just needed the points sorry .

Zoom in to see the question hurry I’m being timed!!!

Answers

It’s in quadrant 1.
It goes like this:
2 1
3 4
point k is in quadrant 1!!

A distributor purchased 550 kilograms of potatoes for $165. He distributed these at a rate of $6.4 per 20 kilograms to 15 shops, $3.4 per 10 kilograms to 12 shops, and the remainder at $1.8 per 5 kilograms. If his total distribution cost is $10, what will his profit be?

Answers

Answer:

it is a lot a money but my one my answer are over a 1,000

Step-by-step explanation:

3/7 / 3 in simplest form

Answers

Answer:

3/7^3

Mark Brainliest

37 is already in simplest form it can be written as 0.428571 in decimal

Determine if {(-2, 3), (4, 7), (24, -6), (5, 4)} is a function. Explain.

Answers

Answer:

Yes, it is a function.

Step-by-step explanation:

Every x (input) has a different y (output), so there aren't multiple different answers for one input.

Answer:

Yes

Step-by-step explanation:

Because it does not have any of the same y or x value

Find the sum. Write your answer in simplest form.

7/10 + 1/4

1 1/20
4/7
9/10
19/20

Answers

Answer:

19/20

Step-by-step explanation:

write all numerators above the common denominator 20

14+5/20

19/20

Please help me! Will give brainliest.

Answers

6+75t-16r2
h(t)=0+75+0

solution: h’(t)= 75
what he said I think

Brainliest to first. I like rlly need help!

Answers

Answer:

i think is (4, -4)  or (4,4).

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'll try to figure it out

4 / 1/7 ............

Answers

Answer:

28

Step-by-step explanation:

4/ 1/7 = 4 x 7/1 = 4 x 7 = 28

John left a $2 tip for the server when stopped at a diner. If this was 20% of his order total, how much was his order?
Group of answer choices

$8

$7

$12

$10

Answers

The answer is 10 dollars

Answer:

$8

Step-by-step explanation:

I am not 100% sure but im like 89% sure but just try it

For 1–3, find the area of each circle. Use 3.14 for π. Round to the nearest tenth if necessary. a circle with radius 48 mm

Answers

Answer:

3.14×48^2= 7234.6

Step-by-step explanation:

to find the area of a circle the formula is A=3.14r^2.

The correct answer is 14x48^2=7234.6

Help me quick!!! Best answer gets brainliest = FUN!

Answers

Its C because it can’t independent because of its the value of the hours and distance, your welcome ;)

Answer:

c

Step-by-step explanation:

Part A
Two stores are selling the same pair of basketball shoes.
Store A sells the shoes for $120 and offers a 25% coupon.
Store B sells the shoes for $100.

Pls show your work as you find the cost at each store.

Part B
Which of the following is true?

A. The shoes at Store A are $20 more expensive than Store B.

B. The shoes at Store A are $5 more expensive than Store B.

C. The shoes at Store A are $10 less expensive than Store B.

D. The shoes at Store A are now the same price as Store B.

Answers

I would go with A

Hope I helped

Solve for x to the nearest tenth.

Answers

the answer is 7! have a good day

the side lengths of a triangle are 9,12, and 15. Is this a right triangle? Will give brainliest

Answers

No, I do not believe this is a right triangle

Answer:

YES. it is a right triangle

Step-by-step explanation:

Ivanna says that 1/4 divided 3 = 1/12. Use multiplication to check her answer.

Answers

Answer:

1/4 / 3 = 1/12

1/4 * 3/1 does not equal 12

It equals 3/4

Step-by-step explanation:

Answer:

she is correct,

Step-by-step explanation:

1/2(3/1) = 3/12

3/12=1/4

Lester has already taken 43 pages of notes on his own, and he will take 1 page during each hour of class. In all, how many hours will Lester have to spend in class before he will have a total of 88 pages of notes in his notebook?

Answers

Answer:

45 hours

Step-by-step explanation:

Answer:

88-43 = 45

45 hours

Step-by-step explanation:

Need Help, Pleaseeeeeeeee.

Answers

Whenever you’re multiplying two numbers with exponents, you add the exponents.

5.6^-5 • 5.6^3
And the exponents would go like -
-5 + 3 = -2
5.6^-2

3.4^-4 • 3.4^-7

-4 + -7

3.4^-11

5.6^-2 • 3.4^-11

Answer: D

For a running marathon a sponsor committed to give you a flat fee of $7.50 and $3.50 for every "m" mile you run. Write an expression for the total amount you will collect from your sponsor if you completed the 26 mile marathon.

$91.00

$98.50

$108.50

$89.50

Answers

$7.50 + ($3.50 x 26) = x
7.50 + 91 = $98.50

Answer: its 98.50

Step-by-step explanation: 3.50 x 26 = 91

91 + 7.50= 98.50

i did not copy off somone else but hopes this helps

The two Internet providers, Xfinity and Fios offer different Internet plans. Xfinity charges $60 a month for Internet plus an initial $15 fee while Fios charges $40 a month for Internet plus an initial $100 fee.
a. Write an equation that represents each plan with C as the charges per month and n as the number of months. Xfinity: Fios:
b. Use the equations from part a to find how many months you would need in order for the costs of the two companies to be the same. What is the cost?
c. For Fios, how many months of Internet are possible if the total cost is at most $220?
PLEASE HELP THANK U

Answers

A. Xfinity- c(n)= 15+60(n)
Fios- c(n)= 100+40(n)

Answer:

c=3

Step-by-step explanation:

xfinity - 60.month + 15

fios- 40.month +100

A, B, C, or D?
I can't think right now. My brain just won't work.

Answers

Answer:

D.

Step-by-step explanation:

All the other are about multiplication this one is about division quotient is the answer to a division problem.

Hope this helps! <3

Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
1. linear pair
2. vertical
3. adjacent
4. none of these

Answers

Answer:

1. Vertical

2. Adjacent

Step-by-step explanation:

the first is vertical , second is adjacent ! hope this helps :)!

GUYS HELP!!! ill give you BRAINS :) AND DONT JUST DO IT FOR THE POINTS IF U DO ILL REPORT U >:)

Answers

Answer:

27/70

Step-by-step explanation:

you are first gonna want to cross multiply

so it would be 9x3

and 7x10

so it would be 27/70 since you cant simplify it any further.

Recycling paper is the best way to protect trees. Recycling prevents trees from being cut down and used for paper and other products. According to the Green Center, recycling one ton of paper helps save 17 trees. If everyone in the United States recycled just a small portion of their newspapers, we could save 25 million trees. People should recycle paper and use recycled products whenever they can to save our forests.

Which statement expresses the author’s claim?

Recycling saves trees.
Trees are important.
Recycling one ton of paper saves 17 trees.
Trees should not be wasted.

Answers

Answer:

Recycling saves trees

recycling saves trees

This spinner is divided into eight equal-sized sections. Each section is labeled with a number.

spinner


Which outcomes are equally likely to occur?


Question 2 options:


Spinning a 3 or a 1



Spinning a 2 or a 4



Spinning a 2 or a 3



Spinning a 3 or a 4

SHOW WORK ILL MARK BRAINLIEST

Answers

Answer:

the answer is 3 or 1

Step-by-step explanation:

there are more ones and threes than any of the other numbers

3 or 1 there's more 3 and 1 on the board than any other number
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