MATHEMATICS HIGH SCHOOL

A photocopy was made of julie's watercolor painting. the photocopy resized the painting so that it measured 4 inches wide by 7 inches long. if the actual painting is 16 inches wide, what is the length A.28 inches
B.9.14 inches
C.38 inches
D.64 inches

Answers

Answer 1
Answer: First, set up a ratio.

4:7= 16:x
You mutiply 4 by 4 to get 16, so you multiply 4 to 7.

4:7= 16:28
Therefore, the answer is A, 28 inches.

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An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?A) 1.5 in3 B) 5.8 in3 C) 52 in3 D) 64 in3
Evaluate 2|3y-8|+y if y =2.5
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When 5 is added to 2 times a number the result is 45

Translate the phrase into an algebraic expression
The sum of c and 4

Answers

The phrase "The sum of c and 4" can be translated into an algebraic expression as "c + 4".

An algebraic expression is a mathematical representation that consists of variables, constants, and operations like addition, subtraction, multiplication, and division. It doesn't have an equal sign, so it doesn't form an equation. For example, "3x + 2" or "5a - 7b" are algebraic expressions.

The phrase "The sum of c and 4" can be translated into an algebraic expression as "c + 4". In this expression, 'c' represents a variable, and '4' represents a constant. The addition operation between them signifies that you need to add the value of 'c' to 4. This algebraic expression can be evaluated once you have a specific value for 'c'.

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Answer:

C+4

Step-by-step explanation:

A spinner with 6 equally sized slices has 1 blue slice, 2 red slices, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue or red slice? Write your answer as a fraction in simplest form.

Answers

Answer:

1/2

Step-by-step explanation:

Step one:

given data

sample space

1 blue slice,

2 red slices, and

3 yellow slices

sample size= 1+2+3= 6

Required:

The probability that the dial stops on a blue or red slice

1. The probability that the dial stops on a blue = 1/6

2. The probability that the dial stops on a red= 2/6= 1/3

Hence The probability that the dial stops on a blue or red= 1/6+1/3

= 1+2/6

=3/6

=1/2

The circular ring of the fountain has a radius of 9 feet. what is the area of the ring?a. 4.5 square feet

b. 28.26 square feet

c. 63.61 square feet

d. 254.34 square feet

Answers

The area of the circular ring of the fountain with a radius of 9 feet is approximately 254.34 square feet.

To find the area of the ring, we need to subtract the area of the smaller circle from the area of the larger circle. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Therefore, the area of the larger circle is π(9^2) = 81π square feet, and the area of the smaller circle is π((9/2)^2) = 20.25π square feet.

Subtracting the area of the smaller circle from the area of the larger circle, we get:

81π - 20.25π = 60.75π

Using the approximation π ≈ 3.14, we get:

60.75π ≈ 60.75(3.14) ≈ 190.845

Therefore, the area of the ring is approximately 190.845 square feet, which is closest to option (d) 254.34 square feet.

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1711
What is the solution to the equation 4
X-
8-+żx?
x=-5
O x-4
X-4
x-5

Answers

Answer:

21

Step-by-step explanation:

40 = 90^2/16 sinx cosx find x

Answers

Answer:

x = 4.545

Step-by-step explanation:

Given the expression

40=(90^2)/(16) sinxcosx\n\nCross\ multiplying;\n\n16*40 = 90^2 sinxcosx\n\n640 = 90^2 sinxcosx\n\n(640)/(8100) = sinxcosx\n from\ trig\ identity, sin2x = 2sinxcosx\nsinxcosx = sin2x/2\n

Hence, \ (640)/(8100) = (sin2x)/(2) \n\n(2*640)/(8100) = sin2x\n \n(1280)/(8100)=sin2x\n \n0.158 = sin2x\n\n2x = sin^(-1) 0.158\n\n2x = 9.09\nx = 9.09/2\nx =4.545

Plot the following points on the grid and calculate the slope of the line that passes through them (-2, -3) and (4, 5): a) 1 b) 2 c) 3 d) 4"

Answers