Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Find The Length Of The Third Side. If Necessary, Round To The Nearest TenthPythagorean Theorem (Rounding)

Answers

Answer 1

Answer:

8

Step-by-step explanation:

[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]

subtract 36 from each side

[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]

or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.

Answer 2
The answer for this question is 8


Let me know if you need explain

Related Questions

Describe the difference between the value of x in a binomial distribution and in a geometric distribution.

Answers

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5cm. If silver is priced at $8.00 per, how much will the silver cost to make one solid sphere?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.

Answers

Radius=1.5cm

Volume

4/3πr³4/3π(1.5)³4/3π(3.375)4.5π14.13cm³

Cost per cm³=$8

Total cost

14.13(8)$113.04

Answer:

$113.04

Step-by-step explanation:

Formula

[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]

[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]

[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]

[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]

It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
$26 $79 $47 $75​

Answers

Answer:75

Step-by-step explanation:

A bag of marbles has 3 red, 1 green, and 7 yellow marbles. What is the probability of selecting a green and then a yellow with replacement?

Answers

3 red is left so there is only 1 green

please help I need to finish this-​

Answers

Step-by-step explanation:

Check out the attached photo.


A bakery sells white loaves and brown loaves.
One week, the ratio of the number of white loaves sold to the number of brown loaves
sold was 4:5
The bakery sold a total of 1584 loaves that week.
Work out how many brown loaves they sold.

Answers

Answer:

880 brown loaves

Step-by-step explanation:

Create a ratio of brown loaves to total loaves by adding the the current ratio, 4:5 together.

4 + 5 = 9.

Now create the new ration of brown loaves to total loaves.

5:9

Next make a proportion using brown (numerator) to total (denominator).

Then cross multiply and divide.

[tex]\frac{5}{9} = \frac{b}{1584}[/tex]

[tex]9b = 7920\\\frac{9b}{9} =\frac{7920}{9} \\b=880[/tex]

Sasha is making custom designs using these small trapezoidal prisms. She wants to cover each of the 8 prisms in her current design in striped cloth on all sides. She has 3500 square centimeters of striped cloth.

Does Sasha have enough cloth to cover all 8 prisms in her current design?

Choose from the drop-down menus to correctly complete the statement.
The combined surface area of the prisms is cm², therefore Sasha have enough cloth for her current design.

Answers

Combined surface area for the 8 prisms is: 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.

What is the Surface Area of a Trapezoidal Prism?

Surface area = (b1 + b2)h + PH

Given the following dimensions:

b1 = 5 cmb2 = 15 cmHeight of trapezium (h) = 7 cmPerimeter of trapezium (P) = 15 + 10 + 10 + 5 = 40 cmHeight of prism (H) = 6 cm

Plug in the values into SA = (b1 + b2)h + PH:

Surface area = (5 + 15)7 + (40)(6)

Surface area = 380 sq. cm.

Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.

Learn more about surface area of trapezoidal prism on:

https://brainly.com/question/16147227

Answer:

The combined surface area of the prisms is 3040 cm², therefore Sasha does have enough cloth for her current design.

Step-by-step explanation:

7 + 6 = 13                (Length + Height)

13 x 5 = 65              side a (h + l)

15 x 13 = 195           side b (h+l)

10 x 6 = 60             side c x length

10 x 6 = 60             side d x length

All of the above added together is 380, one trapezoidal prism.

380 x 8 = 3040

I also did the quiz.

Tyger spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his time is spend studying science?

Answers

Answer:

35%

Step-by-step explanation:

First, we add :)

25 + 35 + 40 = 100

Now we divide :)

35/100 = 0.35 = 35%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

30%

Step-by-step explanation:

You Do it

Please solve all the problems I’m failing this is my only chance to get my grade up

Answers

Well I can’t measure the angles, but you can with a protractor. Then just add those three angles together and if they equal 180, the second answer is yes. And the last problems involve the triangle inequality theorem. If you add the two lesser sides together and they equal less than the third side, they can’t be a triangle. 9+10 is 19 which is less than 22, so it can’t be a triangle. And 7+2 is 9 which still doesn’t work and cannot be a triangle.

The sign on a bridge says that its weight capacity is 2.5 tons. A large truck weighs 6,240 pounds. How many pounds can the bridge hold?

HELP ME ON THIS GUYS PLSSS​

Answers

We have 1 ton = 2000 pounds
So 2.5 tons = 2.5x 2000 = 5000 pounds
Therefore the bridge can hold 5000 pounds

2000 pounds =1ton

to convert just take the number of pounds and divide by 2000 (eg: 3000 pounds divided by 2000 will give you 1.5tons)

[2000pounds = 1ton]

1.5x2000 =3000(this is to go from ton to pound

just multiply the tons by 2000

6240 divided by 2000=3.12 tons

2.5tons x 2000=5000

hope this helps

In 1990 an egg cost 2c less than in 1991. In 1992 an egg cost 4c more than in 1991. The cost of 11 eggs in 1990 was the same as the cost of 8 eggs in 1992. Find the cost of an egg in 1991.​

Answers

Answer:

18

Step-by-step explanation:
given that the eggs cost 16ct in 1990 and 22ct in 1992 you can calculate

16ct+2ct=18ct and 22ct-4ct=18ct

see this vid for full explanation

Pearl drives 4 miles to work each day. How many yards and feet does she drive to work each day?

Answers

Answer:

21120 Feet

6.437376 Kilometer

Step-by-step explanation:

Looked it up

Answer:

7040 yd and 21120 ft

Step-by-step explanation:

1 mile = 1760 yards

1 yard = 3 feet

4*1760=7040 yards per day

7040*3=21120 feet per day

pls help and do quick!

find x

Answers

Answer:

x = 90

Step-by-step explanation:

If the line is straight.

Angles on a straight line add up to 180

2x = 180

x = 90

Please help . Giving brainliest. Only question NUMBER 5 .

Answers

Answer:

48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Hope this helps you!

Mark me brainleast!!!!!

Think carefully about the angle relationship the following represents.

What is the value of ∠ZXY?

Answers

Answer:

55°

Step-by-step explanation:

Since ∠WXY has a square on ∠X, ∠WXY is a 90° angle. This means that the angles in between ∠WXY also sum up to 90°.

⇒ 35 + 4x + 7 = 90

⇒ 4x = 90 - 35 - 7

⇒ 4x = 48

⇒ x = 48/4 = 12

Substitute the value of x into the expression "4x + 7"

⇒ ∠ZXY = 4x + 7 = 4(12) + 7 = 48 + 7 = 55°

Answer:

We know that this is a 90° Angle.

We already have 35° so we subtract that from 90

90-35=55

So the value of ∠ZXY = 55°

Also, the value of X is equal to 12

Hope this helps!

Here are the first four terms of a sequence: 3, 12, 48 and 192.
(a) Work out the common ratio for this sequence.
(b) Work out the nth term of this sequence.

Answers

Answer:

look below

Step-by-step explanation:

The common ratio is 1:4 because we are multiplying the previous number by 4

The nth term for this sequence is quite simple. To find the nth term, take the base, 3, and multiply by the nth 4th. This can be written as 3*4^n+1

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

see explanation

Step-by-step explanation:

the sequence is geometric and has common ratio r

(a)

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

(b)

the nth term of a geometric sequence is

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

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = 4 , then

[tex]a_{n}[/tex] = 3 . [tex]4^{n-1}[/tex]

Pahelp pi pls...:-D

Answers

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Simplify the following expression: (52)^8

Answers

the answer is- 5.3459729e+13

i need help in math this is hard for me 2/3+1/9

Answers

Answer:

0.77777777777 or simplified to 0.8

Step-by-step explanation:

Fill in the missing values in the table. Scale Distance on map Distance in miles 1/4 inch = 1 mile) 2.5 inches 10 miles 1/2 inch = 1 mile 4.5 inches miles 1 inch = 1 mile 3.0 inches 3 miles 1 inch = 5 miles inches 30 miles 1 inch = 10 miles 3.0 inches miles 1 inch = 15 miles 2.0 inches miles ​

Answers

The missing values are 9 miles, 6 inches, 30 miles, and 30 miles, respectively.

Rule of Three

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

The Line 02 of the Table

1/2 in= 1 mile, from the rule of three, you can find the distance in miles.

                        1/2 inch ------------- 1 mile

                        4.5 inches --------- x miles

Applying cross multiplication

1/2x=4.5

x=4.5 *2

x=9 miles

                               

The Line 04 of the Table

1 in= 5 miles, from the rule of three, you can find the distance in miles.

                        1 inch ------------- 5 miles

                        x inches --------- 30 miles

Applying cross multiplication

5x=30

x=6 inches

The Line 05 of the Table

1 in= 10 miles, from the rule of three, you can find the distance in miles.

                        1 inch ------------- 10 miles

                        3 inches --------- x miles

Applying cross multiplication

x=3*10 miles

x=30 miles

The Line 06 of the Table

1 in= 15 miles, from the rule of three, you can find the distance in miles.

                        1 inch ------------- 15miles

                        2 inches --------- x miles

Applying cross multiplication

x=2*15 miles

x=30 miles

Read more about the rule of three here:

brainly.com/question/24514897

Answer:

9 miles, 6 inches, 30 miles, and 30 miles

Step-by-step explanation:

What he said. give him crown.

if a*b=a^2-b^3, then what is the value of 3*-2

Answers

I think it’s -6 but I’m not sure

Question 2 Which relationship is NOT a function? ​

Answers

Answer:

Top left option

Step-by-step explanation:

According to definition of the function, each input must have exactly one output.

One of the given relationships - T-shirt prices reveals two outputs.

All the rest show one-to-one relationship.

Let’s say that in these congruent triangles, the length of side AB in the first triangle is 6 feet. What is the length of side DE in the second triangle?

Answers

Answer:

  6 feet

Step-by-step explanation:

Corresponding vertices of the congruent triangles are listed in the same order in the congruence statement. Given that ΔABC ≅ ΔDEF, that means vertices A and B correspond to vertices D and E.

Segment DE will have the same length as segment AB, 6 feet.

Answer:

6

Step-by-step explanation:

Find the surface of the figure.

Answers

Answer:

64 square in.

Step-by-step explanation:

4*4=16

4*6*1/2*4= 48

16+48= 64

Answer:

64in^2

Step-by-step explanation:

Surface area of pyramid =

[tex] \frac{1}{2}( p \times l) + b[/tex]

plugging the numbers in, 1/2(16*6)+16

SA= 64

Kia's plant is 8 1/5 inches tall and is growing 2/3 inch each week. Lyric's plant is 10 7/10 inches tall and is growing 1/6 inch each week. Write and solve an equation to find how many weeks it will take for the height of the two plants to be the same.

Equation:

Solution:​

Answers

Answer:

See below

Step-by-step explanation:

8.2 + 2/3w  = 10.7 + 1/6 w

   1/2 w    = 2.5

      w = 5 weeks


A tank that holds 120 gallons is leaking at a rate of
gallon per hour. Wri
an expression that represents the amount of gallons left in the tank after h
number of hours.

Answers

Answer:h=120 - (120•1/4)

Step-by-step explanation:

What is the radius of circle C?

Answers

Answer:

5

Step-by-step explanation:

Check out the attached photo

Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
100 POINTS IF YOU ANSWER CORRECTLY AND ILL GIVE BRAINLIEST

Answers

Semi perimeter:-

[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]

Apply heron s formula

Area:-

[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]

(where b is the base of the triangle and h is the height)

Given:

base = 2.4 cmheight = 1.8 cm

Substitute the given values into the formula:

[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]

               [tex]\sf =2.16 \ cm^2[/tex]

What value of x is in the solution set of 4x - 12 S 16 + 8x?

Answers

You gave little context, so here is a few solutions.

POSSIBLE #1:

assuming s is a variable

---> Simplify  [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]

[tex]4x-192S+8x[/tex]

--->  Collect like terms.

[tex](4x+8x)-192S[/tex]

---> Simplify.

[tex]12x-192S[/tex]

POSSIBLE #2: (assuming s is not relevant)

Simplifying

4x + -12 = 16 + 8x

Reorder the terms:

-12 + 4x = 16 + 8x

Solving

-12 + 4x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

-12 + 4x + -8x = 16 + 8x + -8x

Combine like terms: 4x + -8x = -4x

-12 + -4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0

-12 + -4x = 16 + 0

-12 + -4x = 16

Add '12' to each side of the equation.

-12 + 12 + -4x = 16 + 12

Combine like terms: -12 + 12 = 0

0 + -4x = 16 + 12

-4x = 16 + 12

Combine like terms: 16 + 12 = 28

-4x = 28

Divide each side by '-4'.

x = -7

Simplifying

x = -7

If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!

How did Mandela get the name “Nelson?”

Answers

Answer:

On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.

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