The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.

The answer should be 12. please help with explanation and calculation!!!

Answers

Answer 1

Answer:

AC =10 cm

Step-by-step explanation:

triangle ABC is a right angled triangle

side opposite to angle B is hypotenuse

so hypotenuse=AC

here AB and BC are other two smaller sides of a triangle.

so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.

Let AB=a , BC=b and AC=c(hypotenuse)

[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]

36 + 64 =[tex]AC^{2}[/tex]

100=[tex]AC^{2}[/tex]

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

10=AC


Related Questions

Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25

Answers

it’s D. f = 3.5b + 15.25

( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.

Answers

Answer:

Diameter, D = 2.65 cm

Step-by-step explanation:

Given the following data;

Circumference of circle = 8.34 cm

To find the length of its diameter;

Mathematically, circumference of a circle is equal to;

C = πD

Where;

C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142

Substituting into the formula, we have;

8.34 = 3.142 * D

[tex] D = \frac {8.34}{3.142} [/tex]

Diameter, D = 2.65 cm

8) what is the side ratio?. 9) what is the perimeter of RST?

Answers

The answer is C 3/2
The other answer is D 24

Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months

A. $16.80
B. $140
C. $168
D. $14

Answers

This will be B hope this helps

Answer:

14

Step-by-step explanation:

the dishes have been cleaned by us into active voice​

Answers

Answer:

the dishes sparkled after we washed them.

Step-by-step explanation:

The dishes are clean once you wash them duh

What is the length of bc in the right triangle below?

Answers

17

We use the formula a^2+b^2=c^2. In this case, we substitute 8 and 15 into a and b.

8^2+15^2=c^2
64+225=289
Because it has to be squared, we take the square root of 289 which gives us the final answer of 17.
17 is the answer you should use Pythagorean’s theorem like
H²=p²+b²
And keep value of p and b as 8 and 15 then solve it

Plzz help ill make u brainliest
Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in on each side. What is the volume of each prism?

Answers

Answer:

Matt’s: 40 cm = 15.748 inches

Mindy’s: 40 in = 101.6 centimeters

Answer:

The volume is 40 cubed inches

Step-by-step explanation:

The prism that Matt built is 5 cm by 2 cm by 4 cm

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed centimeters

The prism that Mindy built is 5 in by 2 in by 4 in

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed inches

you stand 25m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?​

Answers

Answer:

The tree is about 27.77 meters tall

Step-by-step explanation:

I attached a helpful sheet that explains all my work visually.

What is the reciprocal of -3 2/7 ? -3 7/2 -23/7 -7/23 3 2/7​

Answers

Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

Select the postulate or theorem that you can use to conclude that the triangles are similar.

SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem

Answers

Answer:

asa similarity postulate


Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?

Answers

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need to cover the floor? If the height of the basement is 6 ft, how much wall area is there to paint?

Answers

Answer:

Area of four walls is 3960 square feet.

Step-by-step explanation:

length, L = 30 ft

Width, W = 50 ft

height, H = 6 ft

The area of walls is

= 2 (L W + W H + H L)

= 2 (30 x 50 + 50 x 6 + 6 x 30)

= 2 (1500 + 300 + 180)

= 3960 square feet

Answer/Step-by-step explanation:

How much tile would he need to cover the floor?

Answer: 1500 Ft^2

If the height of the basement is 6 ft, how much wall area is there to paint?

Answer: 960 Ft^2

7th grade girl!

*(urgent, please help! )*

Answers

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.

Answers

Answer:

Vertical

Slope cannot be determined

Step-by-step explanation:

To find the slope, we are going to use the slope equation as follows

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

(x1,y1) = (4,5)

(x2,y2) = (4,-5)

m = (-5-5)/(4-4)

This gives an undefined answer and thus we cannot hate the slope value

Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical

what is the minimum and maximum of f(x)=-10x^3+6x-2

Answers

Answer:

Minimum: [tex](\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})[/tex]

Maximum: [tex](-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )[/tex]

Step-by-step explanation:

solve the inequality 2-x<7

Answers

Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

A and B are 2 cylinders that are mathematically similar the area of the cross section for cylinder A is 18cm squared. find out the volume of cylinder b

Answers

Answer:

Volume of cylinder B = 720 cm³

Step-by-step explanation:

Given:

A and B are similar cylinder

Height of cylinder B = 10 cm

Height of cylinder A = 5 cm

Area of the cross section for cylinder A = 18 cm²

Find:

Volume of cylinder B

Computation:

Area of the cross section for cylinder B = a

So,

(10/5)² = (a/18)

4 = a/18

Area of the cross section for cylinder B = 72 cm²

Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B

Volume of cylinder B = 72 x 10

Volume of cylinder B = 720 cm³

If the equation y=-5x+12 is translated up five units, what would the new equation be?

Answers

Answer:

y=-5x+17

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would add '5' to the y-intercept (12) to make a translation up 5 units.

y = -5x + 12 + 5

y = -5x + 17

Hope this helps.

Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!

Answers

Answer: 35.98in

Step-by-step explanation:

Use the formula: h=3 v/pi(r^2)

Answer:

V = 36.0 in

Step-by-step explanation:

V of cylinder = (1/3)πr^2(h)

V of cylinder = 3052 cubic inches

r = 9 in

3052 = (1/3)π(9)^2(h)

3052 = (1/3)π(81)h

3052 = 84.82300165h

divide both sides by coefficient of h

h = 36.0 in (rounded to nearest tenth)

Can someone please help me with this I’m stuck on it

Answers

Answer:

B and C. if you got them wrong let me know :3

Pls help me with this

Answers

Answer:

5.85

Step-by-step explanation:

100%-> 6.50

100%-10% = 90 %

90%-> 6.50/100 x 90

           =5.85

Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π

Answers

Answer:

volume of a cone formula = V=πr²h/

3

V=3.14(5)²3/3

V≈78.54

Please help!!
The picture of the question is attached...​

Answers

Answer:

Proved

Step-by-step explanation:

picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)

HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST

Answers

P’Q 4
A’B’ 3
M’N 6 good luck on the rest of ur test :>

Which of the following is an equivalent trig ratio for tan 28

Cos 62

1/ tan 62

1/ tan152

Cos 28

Answers

Answer:

B

Step-by-step explanation:

tan28=tan (90-62)=cot 62=1/tan 62

please please help me!! THANK YOU. this is due tonight

explaining your answer = brainliest/five stars

the area of this rectangle = ___ square cm

Answers

Answer:

300cm

Step-by-step explanation:

to get the area of a rectangle, all you have to do is (bh) or base * height. in this case, the base is 20cm and the height is 15cm. once you multiply the two lengths you will get 300 meaning that the area of this rectangle is 300 cm.

The required area of a rectangle is 300 square cm which is given in the figure.

What is the area of the rectangle?

The area of a rectangle is defined as the multiplication of the length and width.

The area of a rectangle = L ×  W

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given a rectangle that has :

The length of the side = 20 cm

The width of the side = 15 cm

The area of a rectangle = The length of the side × The width of the side

The area of a rectangle = 20 cm × 15 cm

Apply the multiplication operation,

The area of a rectangle = 300 square cm

Therefore, the required area of a rectangle is 300 square cm.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

If f(x) = \XI + 9 and g(x) = -6, which describes the range of (f + g)(x)?
O (f + g)(x) > 3 for all values of x
O (f + g)(x) < 3 for all values of x
O (f + g)(x) < 6 for all values of x
O (f + g)(x) > 6 for all values of x

Answers

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ7

PLEASE HELPP MEEE ASAPPPPP

Answers

Answer:

D) 24,32,40

Step-by-step explanation:

Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024.  24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.

1,600 = 576 + 1024.

Note:

Pls notify me if my answer is incorrect, for the other users that will see this message.

-kiniwih426

Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?

Answers

Taxi A
1mile £3.50+£1.75=£5.25
Taxi B
1mile £1.25+£2.00=£3.25

Taxi A
2miles £3.50+£3.50=£7.00
Taxi B
2miles £1.25+£4.00=£5.25

Taxi A
3miles £3.50+£5.25=£8.75
Taxi B
3miles £1.25+£6.00=£7.25

Taxi A
4miles £3.50+£7.00=£10.50
Taxi B
4miles £1.25+£8.00=£9.25

Taxi A
5miles £3.50+£8.75=£12.25
Taxi B
5miles £1.25+£10.00=£11.25

Taxi A
6miles £3.50+£10.50=£14.00
Taxi B
6miles £1.25+£12.00=£13.25

Taxi A
7miles £3.50+£12.25=£15.75
Taxi B
7miles £1.25+£14.00=£15.25

Taxi A
8miles £3.50+£14.00=£17.50
Taxi B
8miles £1.25+£16.00=£17.25

Taxi A
9miles £3.50+£15.75=£19.25 (the same)
Taxi B
9miles £1.25+£18.00=£19.25 (the same)

^^^
They would have to drive 9 miles for the taxi to cost the same.

Hope this helped, this is the longest way to work it out but also the simplest.
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