MATHEMATICS HIGH SCHOOL

You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as:a. a fraction in simplest form
b. a decimal
c. a percent

Answers

Answer 1
Answer: There are 12 letters in the mix and there are 3 letter A's. Therefore, the probability of drawing A of P(A) is:

a. a fraction in simplest form = 3/12 = 1/4
b. a decimal = 1/4 = 0.25
c. a percent = 0.25 *100% = 25%

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How to find the area of the 45-45-90 triangle with a hypotenuse of 24?

Answers

The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal.  If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle,    A² + B² = C²

But  A = B  and  C = 24 .

2A² = (24)²

A² = (24)² / 2

But since  A=B,  A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = 144 . 


45^o-45^o-90^o\ triangle\ is\ a\ half\ of\ the\ square\ (look\ at\ he\ picture).\n\nThe\ square\ is\ a\ rhombus\nthen\ area\ equal\ the\ half\ of\ multiply\ diameters:\n\nA_{\fbox{}}=(d^2)/(2)\n\nA_\Delta=(1)/(2)A_{\fbox{}}\Rightarrow A_\Delta=(1)/(2)\cdot(d^2)/(2)=(d^2)/(4)\Rightarrow A_\Delta=(24^2)/(4)=(576)/(4)=144.

Given the two triangles are similar, what are the values of q and t? Round to the nearest hundredth.

Answers

Answer:

t = 7.5 cm , q= 7.5 cm.

Step-by-step explanation:

Given : Two similar triangle .

To find : what are the values of q and t ,Round to the nearest hundredth.

Solution : We have given Two similar triangle GHI and DEF.

Property of two similar triangle : The ratios of the lengths of their corresponding sides are equal.

Corresponding sides HI ≅ EF and GI≅DF. GH≅DE

HI = t  , EF = 4.5 , GI = 12.5 , DF = q , Gh = 10 , DE = 6

(t)/(4.5) = (10)/(6) .

On cross multiplication

t * 6 = 4.5 * 10.

t *  6 = 45 .

On dividing both sides by 6

t = 7.5 cm.

Now, for q

(q)/(12.5) = (6)/(10) .

On cross multiplication

q * 10 = 12.5 * 6.

q * 10 = 75.0

On dividing both sides by 10

q= 7.5 cm.

Therefore, t = 7.5 cm , q= 7.5 cm.
Set up proportions. 6/10 = 4.5/t. Cross multiply 6t = 45. Divide both sides of the equation by 6 and get t = 7.5.
Next proportion is q/12.5 = 6/10. Cross multiply 10q = 750. Divide both sides of the equation by 10 and get q = 7,5.

you own a house cleaning business. it takes you 2 hours and 45 minutes to clean a house. you have 3 houses to clean tomorrow. how long would it take you to clean all three houses

Answers

495 minutes. Well you will have to work put how many hours that makesim sorry

How to solve problem kathy spent 3 fifths of her money on a necklace and 2 thirds of the remainder on a bracelet. If the bracelet costs $17.00, how much money did she have at first.

Answers

Answer:she had $63.75 at first.

Step-by-step explanation:

Let x represent the amount of money that she had at first.

kathy spent 3 fifths of her money on a necklace. This means that the amount of money that she spent on the necklace is

3/5 × x = 3x/5

The amount of money remaining would be

x - 3x/5 = 2x/5

She used 2 thirds of the remainder on a bracelet. This means that the amount of money that she spent on the bracelet is 2/3 × 2x/5 = 4x/15

If the bracelet costs $17.00, then

4x/15 = 17

4x = 15 × 17

4x = 255

x = 225/4

x = 63.75

Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is thevalue of 1?
11
оооо
19
о 30

Answers

Answer:

30 in total that she bought

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

got it right on edg 2021

The value of 3.6 - 2.4 ÷ (-0.8) is _____.
6.6
0.6
-1.5
3

Answers

I hope this helps you

Answer:

6.6

Step-by-step explanation:
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