Angle B = 90 in triangle ABC. BM is altitude to AC. AB = 10 and AM = 2.5. Find MC

Answers

Answer 1

Answer:

MC =37.5

Step-by-step explanation:

In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]

[tex] \therefore \angle AMB = 90\degree [/tex]

By Pythagoras Theorem:

[tex]AM^2 + BM^2 = AB^2 \\

BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]


Related Questions

Simplify this expression.
6m4 n4
12m

Answers

Answer:

18m+n4

Step-by-step explanation:

i think.

Answer: girly im not gonna lie im no mathematician but i came up with 18m  8n i sowy if it's wrong but, you can't blame a girl from trying .

Step-by-step explanation: i combined like terms but im probably still wrong just saying .

The proceeds from a car wash are directly proportional to the number of cars washed. The total after 9 cars was $180. How much can be raised if 60 cars
are washed?
60 cars washed?

Answers

Answer:

$1200

Step-by-step explanation:

180 divided by 9 is 20, so they earned $20 per car washed. They want to wash 60 cars, and if they wash 60 cars they would earn $1200. (60 x 20)

Answer:

$1200

Step-by-step explanation:

Our revenue is directly proportional to the number of cars. That means our revenue is increasing at a constant rate, and thus, we are getting the same amount of money per car. That means we can find out how much we get from washing 1 car.

[tex]\frac{180}{9} = 20[/tex]

$20 per car.

If we washed 60 cars, we'd earn 60 * $20:

[tex]60*20 = 1200[/tex]

Answer: $1200

A volcano in the ocean rises approximately 14,000 feet above sea level. Its base is approximately 20,000 feet below sea level. What is the total height of the volcano?

Answers

Answer:

6,000 feet

Step-by-step explanation:

The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis

Answers

It will cross at x=4 and x=6

Answer:4.0 and 6.0

Step-by-step explanation:

Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 stamps. The boys recently
joined different stamp-collecting clubs. Xian's club will send him 12 new stamps per month. Kai's club will
send him 8 new stamps per month. After how many months will Xian and Kai have the same number of
stamps? How many stamps will each have?
After
months Xian and his cousin will have
stamps each.

Answers

Answer:

Step-by-step explanation:

Let the x be the number of months.

In x months, xian will have:

                       (52+16x) stamps

and kai will have:

                     (76+12x)stamps

To find out how many months they will have the same number of stamps, we evaluate the two expressions:

52+16x=76+12x

52+4x=76

4x=24

x=6

So xian and kai will have the same number of stamps after 6 months.

Using either of two expressions, each will have:

52+16(6)=76+12(6)= 148 stamps.

Would appreciate if you could give brainiest have a great day

Answer:

6 months

Step-by-step explanation:

56+ 12x = 80 + 8x

A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many eggs does she lay in one day? Express your answer in scientific notation.

Answers

The answer is 61,000

When dividing two numbers with the same base

Answers

Answer:

you subtract the exponents

-12=x-1 Please help need help

Answers

Answer:

x = -11

Step-by-step explanation:

-12 = x - 1

-12 + 1 = x

x = -11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]

[tex] \tt{Step \: 3}[/tex] : Calculate

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]

The value of x = 11

Hope I helped!

Best regards! :D

~TheAnimeGirl

Can you help me please?

Answers

Answer:

the answer is 2.620

Step-by-step explanation:

the way u will get this is at the top there pattern is adding the bottom they are subtracting 2

Solve the equation and check.
7x-5= 3 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The solution is
(Simplify your answer.)
OB. The solution is all real numbers
OC. There is no solution

Answers

Answer: x = 2

OA. The solution is

(Simplify your answer.)

Step-by-step explanation:

Answer: The solution is x=2

7x - 5 = 3 - 3x

Move the variable to the left-hand side & change its sign. Move constant to the right hand side & change its sign.
7x -3x = 3 + 5

Collect like terms & Add the numbers
4x=8

Divide both sides by 4
4x/4 = 8/4

And you get x=2

Hope this helps ʕ•ᴥ•ʔ

The price to mail a letter at the post office is $0.49 for the first ounce

and $0.21 for each additional ounce. Amrit paid $1.96 to mail his letter.

How much did the letter weigh?

Answers

The letter weighted 7 ounces

does a function have to be linear

Answers

Answer:

Hi there

Step-by-step explanation:

A linear function is a type of function and so must follow certain rules to be classified as a “function”. For example, functions can only have one output for each input. On the other hand, equations are just statements that make two things equal, like x = y or 52x = 100.

~Your Welcome! :)

Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.

The parabola opens downwards since a=____ and this value is _____ 0.

The choices for the second blank question are:
-less than
-greater than
-equal to

Answers

g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

Find the midpoint between (-1, -1) and (-9,6).?

Answers

Answer:

(-5,-3.5) is the midpoint

Step-by-step explanation:

See photo for the step-by-step explanation

Answer:

(4, -3.5)

Step-by-step explanation:

Please help me to prove this!​

Answers

Answer:  see proof below

Step-by-step explanation:

Given: A + B = C                → A = C - B

                                          → B = C - A

Use the Double Angle Identity:     cos 2A = 2 cos² A - 1

                                             → (cos 2A + 1)/2 = cos² A

Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]

Use Even/Odd Identity: cos (-A) = cos (A)

Proof LHS → RHS:

LHS:                     cos² A + cos² B + cos² C

[tex]\text{Double Angle:}\qquad \dfrac{\cos 2A+1}{2}+\dfrac{\cos 2B+1}{2}+\cos^2 C\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg(2+\cos 2A+\cos 2B\bigg)+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\dfrac{1}{2}\bigg(\cos 2A+\cos 2B\bigg)+\cos^2 C[/tex]

[tex]\text{Sum to Product:}\quad 1+\dfrac{1}{2}\bigg[2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A-2B}{2}\bigg)\bigg]+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\cos (A+B)\cdot \cos (A-B)+\cos^2 C[/tex]

[tex]\text{Given:}\qquad \qquad 1+\cos C\cdot \cos (A-B)+\cos^2C[/tex]

[tex]\text{Factor:}\qquad \qquad 1+\cos C[\cos (A-B)+\cos C][/tex]

[tex]\text{Sum to Product:}\quad 1+\cos C\bigg[2\cos \bigg(\dfrac{A-B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+(C-B)}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-(C-A)}{2}\bigg)[/tex]

[tex]\text{Given:}\qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+A}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-B}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\cos C \cdot \cos A\cdot \cos (-B)[/tex]

[tex]\text{Even/Odd:}\qquad \qquad 1+2\cos C \cdot \cos A\cdot \cos B\\\\\\.\qquad \qquad \qquad \quad =1+2\cos A \cdot \cos B\cdot \cos C[/tex]

LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C   [tex]\checkmark[/tex]

What is the angle of x?

Answers

Answer:

Step-by-step explanation:

There are 540 degrees in a pentagon so take 540-(everything there)= 67

A truck enters a highway at 60 mph. A car enters the highway at the same place 11 minutes later and drives 74 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck?

Answers

Answer:

3/20

Step-by-step explanation:

Pls help me out and follow the steps

Answers

Answer:

4w + 3 = 2w + 7

-[2w]      -2w

-----------------------

2w + 3 = 7

       -3   -[3]

----------------------

2w  =  [4]

2w =  4

----    ----

2      [2]

w = [2]

Solve the following equation for b be sure to take into account whether a letter is capitalized or not f = ad

Answers

Answer:

Step-by-step explanation:

J

helphelphelphelphelp

Answers

Answer:

Point A

Step-by-step explanation:

Write a linear function given in the table below. Use function notation.

Answers

First, let's choose two points from the table to solve for our slope.

(0, -1) and (1, 4)

Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5

The slope of our line is equal to 5

So far we have y = 5x + b

To solve for be, we need to plug one of our points into the equation.

-1 = 5(0) + b

Simplify

-1 = b

So, our equation: y = 5x -1

Find the parabola through
(

7
,

39
)
(
-
7
,
-
39
)
with vertex
(

4
,

12
)

Answers

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

a group of 4 students needs to share 20 paper clips equally. how many paper clip does each students get

Answers

Answer:

5 paper clips each

Step-by-step explanation:

20/4 = 5

Answer:

They each get 5

Step-by-step explanation:

x-7/4 =-2 I need helpp

Answers

Answer:

x = -1

Step-by-step explanation:

x-7/4=-2

x-7=-8

x=-1

Factorize completely
- 3a² + 4a + 4

Answers

Answer step-by-step:

I don’t know how to do this

Answers

Answer:

60yd

Step-by-step explanation:

First you multiply 3yd, and 6yd to get the area of 18 yards.

Second, you multiply the length of the triangle, so 6*7 is 42.

Finally you add both of the areas together to get the area of the full shape.

60yd


and ixl is the worst lol

what is another way to represent this solution set?

Answers

Answer:

What solution set? I think you forgot to add a picture..

What solution do you need help with? :)

find DF if D is between E and F, ED = 6x-4 , DF =3x+5 and EF= 46

Answers

Answer:

DF= 20

Step-by-step explanation:

6x-4+3x-5=46

then you solve for x (x=5).

then plug it it : 3(5)+5=20

Value of DF is 20 unit

Given that;

ED = 6x - 4

DF = 3x + 5

EF = 46

Find:

Value of DF

Computation:

We know that;

EF = ED + DF

46 = 6x - 4 + 3x + 5

46 = 9x + 1

9x = 45

x = 5

Value of DF = 3x + 5

Value of DF = 3(5) + 5

Value of DF = 15 + 5

Value of DF = 20 unit

Learn more:

https://brainly.com/question/10198048?referrer=searchResults

Please help me!! What is the value of???

-4×3
12÷(-6)???

Answers

Answer:

-4x3=12

12÷-6=-2

hope this helps

Mandy has a piece of ribbon measuring 3.2 m and Cheryl has a piece of ribbon measuring 4.7 m select the point on this number line that represents the ribbon lengths

Answers

Answer:

3.2

Step-by-step explanation:

3.2/1

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