The legs of a right triangle measure 8 cm and 6 cm respectively. How long is the longest side of the triangle?

a.12
b.10
c.14
d.11

Answers

Answer 1

Answer:

b. 10

Step-by-step explanation:

Based on the Pythagoras Theorem, the longest side of a right-angled triangle is: [tex]\sqrt{a^{2}+b^{2} }[/tex] where a and b are the legs of the triangle.

Longest side of triangle = [tex]\sqrt{8^{2}+6^{2}}[/tex]

                                        = [tex]\sqrt{64+36}[/tex]

                                        = [tex]\sqrt{100}[/tex]

                                        = 10


Related Questions

If the m =1/2 and the b = -2, then the linear equation is

Answers

Answer: y=  1/2x - 2

Step-by-step explanation:

y= mx+b

m= 1/2 (plug it in)

b= -2 (plug it in)

x= ?

Two cities Asheville and Boulder are 2.5 inches apart on a map. A third city well spring is located exactly halfway between Asheville and Boulder. If the scale is 0.5 inches = 15 miles find the actual distance from wellspring to Boulder

Answers

Answer:

75miles

Step-by-step explanation:

Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.

If well spring is located exactly halfway between Asheville and Boulder, then;

AW + WB = AB

If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches

The actual distance from wellspring to Boulder is WB

Since W is the midpoint of A and B, then AW = WB. The equation becomes;

WB + WB = AB

2WB = AB

WB = AB.2

WB = 2.5/2

WB = 1.25 inches

Hence the distance from wellspring to Boulder is 1.25inches.

Since  0.5 inches = 15 miles on the map,

1.25inches = x

Cross multiply;

0.5x = 15 * 1.25

0.5x = 18.75

x = 18.75/1.25

x = 75miles

Hence the actual distance from wellspring to Boulder is 75miles

PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS

Answers

Answer:

thankssss

Step-by-step explanation:

Answer:

ty

Step-by-step explanation:

Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.

Answers

Answer:

40-5x

Step-by-step explanation:

Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression

Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.

Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.

Part B: How much would the repairs be if it took 3 hours?

Part C: What is the meaning of the slope in Part A?

Part D: What is the meaning of the y-intercept in Part A?

Answers

Answer:

a  75x+165=y

b  75(3)+165=390

c   75x is the cost increasing for each hour

d  y-intercept=165, it cost at least 165 for the parts

Step-by-step explanation:

Pls answer a and b!!!!!

Answers

Answer:

a) the answer is 2/21

b) the answer is 6

And the first one is 2/12
The 2 one is 6

How many places do you need to move the decimal to the left to write the
number below in scientific notation?
12000000000
A. 10
B. 9
C. 11
O O
D. 6

Answers

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

Answer:

it’s 9 because i don’t know I just saw someone else say that

Step-by-step explanation:

i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68

Answers

Answer:

61 is the mean and the range is 19

Step-by-step explanation:

trust

Mean = [tex]60.1[/tex] and Range = [tex]19[/tex]  for the given set of data.

What is Mean?

"Mean is the average set of all the given values."

What is Range?

"Range is the difference between highest and the lowest value."

Formula

Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]

Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]

                            = [tex]\frac{601}{10}[/tex]

                            = [tex]60.1[/tex]

Range = Max (x) - Min (x)

            =  [tex]68 - 49[/tex]

            = [tex]19[/tex]

Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.

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Does anyone know the answer ? (geometry)

Answers

Answer:

The answer 7.48

Step-by-step explanation:

I hope this helped

(8+2)² HELP ME I NEED IT

Answers

Answer:

100 answer

follow me for more best answer

It equals 100

Could I have branliest, heart with 5 stars

Thanks and have a merry Christmas!

following data, what would be the value of x?

Answers

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please

What is

-2/3
-
5/6

?
Math/honors math/ Mathematics

Answers

Answer:

-3/2 is your answer !!!!

Answer:

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

Step-by-step explanation:

Trust me it's right...lol

X + y = 9 x + 3y = 13 If (x,y) is the solution to the given system of equations, what is the value of y?​

Answers

Answer:

D.) 3

Step-by-step explanation:

x + 3 = 8

x - 3 = 2

so that means x = 5 and y = 3

I am super confused


A small aquarium holds 70% as much as a large aquarium. If the small aquarium holds 35 liters, how many liters does the large aquarium hold?

Answers

Answer:

50

Step-by-step explanation:

so in other words, 35 is 70% of something. So you can divide 35 by 0.7 to get your answer.

Answer:

24.5 litres I guess is the answer for the question

HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.

Answers

Answer:

I think it is D

Step-by-step explanation:

Answer:

C

EDGE

Step-by-step explanation:

What is the average rate of change of the function
f(x) = 2x + 8
over the interval [2, 6)?

Answers

The average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.

Important information:

The function is [tex]f(x)=2x+8[/tex].The given interval is [2,6].Average rate of change:

The average rate of change of the function f(x) over the given interval [tex][a,b][/tex] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Using the above formula, we get

[tex]m=\dfrac{f(6)-f(2)}{6-2}[/tex]

[tex]m=\dfrac{(2(6)+8)-(2(2)+8)}{4}[/tex]

[tex]m=\dfrac{12+8-4-8}{4}[/tex]

[tex]m=\dfrac{8}{4}[/tex]

[tex]m=2[/tex]

Thus, the average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.

Find out more about 'average rate of change' here:

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PLEASE, HELP. 60 POINTS!
Thank you!

Answers

Answer: 20ft

Step-by-step explanation:

What is the x-intercept of the Cubic Function shown below?


A(1,0)
B(0,1)
C(1,7)
D(7,1)

Answers

A (1,0) is the correct answer.

Please help!! And show work please! I'll give brainlist..!

Answers

what you put is correct because two negatives make a positive so it would be 5 + 7 making it the greatest value

yea yea yea yea yea help please i have a zero in this class lol

Answers

Answer:

D. -3z+2

Step-by-step explanation:

Steps:

Remove parentheses: (a) = a

= 5z+9-(8z+7)

....

Simplify

5z+9-8z-7: -3z+2

Answer:

-3z +2

Step-by-step explanation:

A expression in terms of z is given to us and we need to simplify out the given expression . The give an expression to us is ,

[tex]\implies (5z + 9 ) - ( 8z + 7 )[/tex]

Recall that , + × - = - . We have ,

[tex]\implies 5z + 9 - 8z - 7 [/tex]

Combining the like terms and simplifying ,

[tex]\implies 5z - 8z - 7 +9 \\\\\implies \underline{\underline{ -3z +2 }}[/tex]

Hence the last option is correct .

hi need help with math
some one help

Answers

Answer:

Ether C or D. hope this helps

PLEASE HELP I'LL GIVE YOU BRAINLIEST
Find the slope, or rate of change:

Answers

Answer:

C. 3/2

Step-by-step explanation:

slope:

Rise/run:

rise: 6

run: 4

6/4:

reduce = 3/2

help please? 26x-2(3x+4y)-10y

Answers

Answer:

20x-18y

Step-by-step explanation:

26x-2(3x+4y)-10y

26x-6x-8y-10y

20x-18y go doawnload the app photomath its a great tool

What is the slope of the following points (5,7) and (12,2)?
5
-7/5
2/10
-5/7

WILL GIVE BRAINLIEST

Answers

Answer:

use the slope formula: (y2-y1)/(x2-x1) and then plug in the points given

(2-7)/(12-5)

-5/7

the slope is the last one or "D"

Step-by-step explanation:

can someone please help me

Answers

the answer is 2p - 4 :)

Answer:

I think it's -2p or 2p-4

Graph a line that contains (-2,7) and a slope of 4

Answers

Answer:

The equation would be y = 4x + 15

Answer:

draw a line trogh the points (-2, 7) and ( -1,11)

Step-by-step explanation:

Plot the first point (-2,7) then go 4 up and 1 right (because the slope is

4 = 4 rise/1run ), plot that second point ( -2+1, 7+4) = (-1, 11), and connect them.

Find the measure of angle abc

Answers

I think it’s B: 20 but I could be wrong. I just added it all up together

Answer:

The answer is 9!

Step-by-step explanation:

Ik this is late but for people in the future, the answer is definetly 9.

180 = 6x + 6x + 8x

Now substituting 9 in for the x values;

180 = 6(9) + 6(9) + 8(9)

180 = 54 + 54 + 72

180 = 180

BYE!

What is the surface area of the right prism given below?
O A. 298 units2
OB. 840 units2
O C. 480 units2
O D. 420 units2

Answers

Answer:

480 units^2

Step-by-step explanation:

5 * 12 =  60

13 * 14 = 182

12 *14 =  168

5 * 14 =  70

            480

The surface area of the given prism will be 480 square units so the correct answer is option C.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The triangular prism is having 6 surfaces so the surface area will be the sum of the area of all the sides of the prism.

The area of all the sides of the prism will be calculated as follows:-

5  x 12 =  60

13 x  14 = 182

12 x 14 =  168

5  x  14 =  70

The total surface area of the prims will be:-

SA of prism = 60 + 182 + 168 + 70 = 480 square units

Therefore the surface area of the given prism will be 480 square units so the correct answer is option C.

To know more about a surface area follow

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I need a quick asnwer!!!

Answers

Answer:

third one

Step-by-step explanation:

Answer:

Its the third one you welcome

Step-by-step explanation:

..............................................................................

Answers

Answer:

-5 ,3 ...

Step-by-step explanation:

thats all i can think of ..,..

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