MATHEMATICS HIGH SCHOOL

Write the ratio in lowest terms.  20:14a. (7/10)
b. (20/14)
c. (14/20)
d. (10/7)

Answers

Answer 1
Answer:


when putting ratios, fractions, expressions, etc into lowest terms you take out the gcf.

in this case the gcf of both 20 and 14 is 2.

20/2:14/2 = 10:7

the answer is d
Answer 2
Answer: to get a ratio in lowest terms, you have to divide both sides by the same number.  what number fits into both?  2 does.  so 20/2=10, and 14/2=7.  this means that (d) is correct.
does that help?

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2. Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The length of the plank is 41 ft. Find each of the following values, and show all your work.(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.
Please someone help

Answers

(A) Find the value of x. Round to the nearest tenth of a degree
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft

In order to get the angle formed between the ground and the foot of the plank,

cos (theta) = ground / plank
cos (theta) = 9 / 41
cos (theta) = 0.21951...
theta = cos^-1(0.21951...)
theta = 77.3 degrees

(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.

Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
Height = square root (1600)
Height = 40

(A) 77.1 Degrees
(B) 40 feet

A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 2x + 4z = 1

Which of the following is a possible step used in eliminating the z-term?


Multiply equation B by 4.
Multiply equation A by 2.
Multiply equation A by –4.
Multiply equation B by 2.

Answers

Hello,
Multiply equation A by –4.
=>-4x-4z=-24
     2x+4z=1
------------------
-2x=-23
x=23/2

Answer:

To eliminate the z-term, you need to multiply equation A by -4.

Step-by-step explanation:

(x+3)y=14 which ordered pair is a solution to this equation ? A. 7,2 B 11,1 C 3,2 or D 5,2

Answers

The answer would be B.
Steps: 
1. Take your X coordinate and plug it into your equation where the X is.
2. Take your Y coordinate and plug it into your equation where the Y is.
3. Distribute your Y to your numbers in the parenthesis.
4. Finally add the two numbers together.
5. See if you got the same answer on both sides of the equal sign.
Hope this helps! (:
(x + 3)y = 14

We just test each option.

A.  x = 11, y = 1

(x + 3)y = 14

(7 + 3)*2 

10*2

20 = 14        This is not correct, so the option is wrong.



B.  x = 11, y = 1

(x + 3)y = 14

(11 + 3)*1 

14*1

14 = 14        This is correct, so the option is the correct.

So option B is the correct one.  No need to test the other options.

I hope this helps.

The number pi goes on forever with repeating pattern therefore it is irrational

Answers

the correct answer is true.

How many 36-passenger buses will it take to carry 144 people?

Answers

To solve this divide.
144/36
and that =4
So it takes 4 buses.
All we need to do is divide the number of people to the amount of people 1 bus can seat.

144 ÷ 36 = 4.

So, to carry 144 people they will need 4 buses. 

Answer:- 4 buses.

hope i helped ya!! 

If 3 dice are rolled at the same time, what is the probability of all 3 dice showing even facevalues? (i.e. all 3 dice showing 2, 4, or 6)

Answers

Total possible outcomes of 3 dice = 6 x 6 x 6 = 216

Total number of ways for all 3 to show even numbers:
222
224
226
242
244
246
262
264
266
.
.
etc.    There 27 of them.

Probability = 27 / 216 = 1/8 = 12.5 percent .
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