MATHEMATICS HIGH SCHOOL

The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.A. 15
B. √ 15
C. 30
D. √ 30

Answers

Answer 1

Answer:

Answer:

The answer is the option D

$√(30)\ in$

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

$c^(2) =a^(2)+b^(2)$

where

c is the hypotenuse

a and b are the legs

In this problem we have

$c=6\ in\na=√(6)\ in$

substitute and solve for b

$6^(2) =(√(6))^(2)+b^(2)$

$36 =6+b^(2)$

$b^(2)=30$

$b=√(30)\ in$

Answer 2

Answer: The answer is D
Cause it is right triangle, so through Pythagorean theorem, you can know the answer

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In the diagram below, ΔABC≅ΔSTR. Complete the statement ∠A≅A. ∠C
B. ∠S
C. ∠T
D. ∠R

Answers

Answer:

Step-by-step explanation:

Answer: B <S

Step-by-step explanation:

Ray Cupple bought a basic car costing $10,150.00, with options costing $738.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?Here are the options but I don't understand them of course. ;n;
A. $11,591.28
B. $10,938.00
C. $11,541.28
D. $11,547.00

*I really need it explained and the answer, I can't do math to save my life and it is killing me. I've done all kinds of programs and such, just can't seem to keep any math in my brain.

Answers

The Cost of a Basic Car: $10,150.00
Options on the Cost of a Basic Car: $738.00
License and Registration Fee: $50.00
Subtotal: $10,938.00
Sales Tax: 0.06
Total: $11,594.28

I notice that I have to add the cost of the car, the option of the car, the license and registration fee, and the sales tax in order to find out the total of what it might cost for all of them. So I calculated it in a receipt form to find of the subtotal and the total of Ray' s cost, which is above the screen.

You and your friends pick up seven movies to watch over a holiday. You have time to watch only two. In how many ways can you select the two to watch?

Answers

Answer:

There are 21 ways to select the two movies to watch.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=(n!)/(k!(n-k)!)$

It is provided that there are n = 7 movies to watch.

But we only have time for k = 2.

Compute the total number of ways in which we can select 2 movies from 7 as follows:

${7\choose 2}=(7!)/(2!(7-2)!)$

$=(7!)/(2!* 5!)\n\n=(7* 6* 5!)/(2!* 5!)\n\n=(7*6)/(2* 1)\n\n=21$

Thus, there are 21 ways to select the two movies to watch.

It is given that A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B.

Answers

Answer:

(i) A∩B = {2,4}

(ii) I don't know how to attach pictures in brainly so i can't send the veen diagram

What polynomial identity should be used to prove that 21 = 25 − 4

Answers

the complete question is

What polynomial identity should be used to prove that 21 = 25 − 4

A: Difference of cubes

B: Difference of Squares

C: Square of Binomial

D: Sum of Cubes

we know that

The difference of two squares is a squared number subtracted from another squared number

$(a^(2) -b^(2) )=(a+b)*(a-b)$

In this problem

then

$(5^(2) -2^(2) )=(5+2)*(5-2)$

$(5^(2) -2^(2) )=(7)*(3)$

$(5^(2) -2^(2) )=21$

$25-4=21$

therefore

the answer is the option

B: Difference of Squares

Choices:
A: Difference of cubes
B: Difference of Squares
C: Square of Binomial
D: Sum of Cubes

The polynomial identity used is B. DIFFERENCE OF SQUARES

21 = 25 - 4
21 = 5² - 2²

Ten times the sum of half a number and 6 is 8

Answers

Answer:
The number is -10.4

Explanation:
Assume that the number we are looking for is x.

Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x

Let's take this step by step:
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

Now we can solve for x as follows:
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4

Hope this helps :)

The number we want to find is -10.4