MATHEMATICS HIGH SCHOOL

Chen spins the spinner and rolls a standard number cube. Find the probability that’s the spinner will stop on blue and the cube will show four. Write the probability as a fraction in simplest form. (Spinner shows 4 quarters, all different colors. Yellow, orange, red and blue.)

Answers

Answer 1

Answer:

Answer: 1/24

Step-by-step explanation:

You multiply the fraction of the first probability by the fraction of the second probability.

The spinner has 4 colors, the odds of it landing on blue is 1/4

The cube has 6 numbers, the odds of it landing on 4 is 1/6

1/4 * 1/6 = 1/24

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How to solve x-y=102x-y=17

Find the area of ABC if the area of PRT=24 mm^2

Answers

Given:

$\triangle ABC\sim\triangle PRT$

As the triangles are similar, the corresponding sides are proportional

$(AC)/(PT)=(BC)/(RT)$

Given: AC = 15, BC = 12 , PT = 6

$\begin{gathered} (15)/(6)=(12)/(RT) \n \n RT=(6\cdot12)/(15)=4.8 \end{gathered}$

We will find the area of the triangle ABC using the following ratio:

$\frac{Area\triangle\text{ABC}}{Area\triangle\text{PRT}}=(0.5\cdot AC\cdot BC\cdot\sin C)/(0.5\cdot PT\cdot RT\cdot\sin T)$

The angle C is congruent to the angle T

So, substitute with the given values:

$\begin{gathered} (Area\triangle ABC)/(24)=(15\cdot12)/(6\cdot4.8)=(180)/(28.8)=6.25 \n \n Area\triangle\text{ABC}=24\cdot6.25=150 \end{gathered}$

So, the answer will be:

The area of ΔABC = 150 mm²

the measure of two complimentary angles is in the ratio 1:9. what are the degree measures of the two angles

Answers

$x+9x=90\n10x=90\nx=9\n9x=9\cdot9=81$

9 and 81.

A recipe for salad dressing calls for 1/4 cup of vinegar. You have 4 cups of vinegar. How many batches of salad dressing could you with the vinegar?

Answers

There are several information’sof immense importance already given in the question. Based on those information’sthe answer can be easily deduced.
Amount of vinegar required for making 1 recipe of salad dressing = 1/4 cup
Amount of vinegar available = 4 cups
Then
The number of salad dressings that could be made = [1/(1/4)] * 4
= 4 * 4
= 16
So 16 salad dressings could be made with the amount of vinegar available. I hope the procedure is clear enough for you to understand.

How do u work out 11x=24+8x

Answers

Answer:

x = 8

Step-by-step explanation:

First: Subtract 8x from both sides

You will be left with 3x = 24

then divide 3 from both sodes

you will be left with x=8

Tyler has a rectangular garden that measures 10 m wide by 13 m long. he wants to increase the area to 208 m2 by increasing the width and length by the same amount. what will be the length (longer dimension) of the new garden?a. 14 m wide
b. 15 m wide
c. 16 m wide
d. 17 m wide

Answers

10*13=130
(10+3)(13+3)=13*16=208
The length of the new garden is the 13+3 which is 16.
So c should be the right answer.

Find f(a), f(a+h) and the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0. F(x)= 2x/ x-1

Answers

First.

Calculate f'(x) = (2x/x-1)' = (-2)/ $(x-1)^(2)$ ; when x is not 1;

Second.

Calculate f'(0) = -2 => the difference quotient (f(a+h)-f(a))/ h, where hod want equal 0 is -2;

Third.

f(a) = 2a/a-1; f(a+h) = (2a+2h)/(a+h-1);

Answer:

Step-by-step explanation:

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