MATHEMATICS HIGH SCHOOL

5. Which number is irrational? 3 (1) V16 (2) V12 (3) (4) 0.50
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Answers

Answer 1
Answer:

Answer:

(3)√12

Step-by-step explanation:

The other numbers are not continuous

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Find the dimension of the triangle

Answers

Given:

The area of the triangle is 24 yd²

The height of the triangle is 4 yd.

We need to determine the base of the triangle.

Base of the triangle:

The base of the triangle can be determined using the formula,

Area=(1)/(2)bh

where b is the base and h is the height of the triangle.

Substituting Area =24, h=4 in the above formula, we have;

24=(1)/(2)b(4)

Simplifying, we get;

24=2b

12=b

Thus, the base of the triangle is 12 yard.

Hence, Option A is the correct answer.

Which of the following best describes the expression 3x + 2y + 8z?The product of three sums; there are three terms
The sum of three products; there are three terms
The product of three sums; there are six terms
The sum of three products; there are six terms

Answers

The expression above is composed of 3 terms which are: 3x, 2y, and 8z. All of the terms are the product of two items. The first term is a product of 3 and x. The second is a product of 2 and y. Lastly, the third is a product of 8 and z.

Thus, the expression is a sum of three products and there are only three terms. This answer is the second among the four choices. 

Answer: B The sum of three products; there are three terms


Step-by-step explanation:

The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 45x + 20

Car B
y = 35x + 60

WILL UPVOTE
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

3 hours, 200 miles

3 hours, 180 miles

4 hours, 200 miles

4 hours, 180 miles

Answers

If you would like to find the amount of hours and the distance, you can calculate this using the following steps:

y = y
45x + 20 = 35x + 60
45x - 35x = 60 - 20
10x = 40
x = 40 / 10
x = 4 hours

y = 45x + 20 = 45 * 4 + 20 = 200 miles
y = 35x + 60 = 35 * 4 + 60 = 200 miles

The correct result would be 4 hours, 200 miles.

Answer:

4 hours, 200 miles

Step-by-step explanation:

A parachutists rate during the freefall reaches 189 km/h. What is the rate in meters per second? At this rate how many meters will dead parachutist fall during 10 seconds of free fall? Do not round your answers

Answers

1 km = 1000m
1 hr = 3600 s

189 km/h
189 * 1000 / 3600 m/s
189*5/18 m/s
945/18 m/s
315/6 m/s
105/2 m/s
52.5 m/s

in 10 s
52.5*10
525 m

When 2/3 is added to a certain number, the sum is 3 greater than twice the number.Part A: Set up an equation using n to represent the number.


Part B: Solve the equation in Part A for n.

Answers

3(2/3+n)=2n I believe

ABCD is a rectangle. Find the length of each diagonals.

AC = c over 3
BD = 4 - c

Answers

Diagonals are congruent

|AC| = |BD|

(c)/(3)=4-c\ \ \ |multiply\ both\ sides\ by\ 3\n\n\not3^1\cdot(c)/(\not3_1)=3(4)-3c\n\nc=12-3c\ \ \ |add\ 3c\ to\ both\ sides\n\n4c=12\ \ \ \ |divide\ both\ sides\ by\ 4\n\n\boxed{c=3}\n\n|AC|=|BD|=(3)/(3)=1
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