MATHEMATICS HIGH SCHOOL

The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of the storage room? Round your answer to the nearest foot.

Answers

Answer 1

Answer:

Answer:

Distance from a corner to the other corner of the storage room is 424 foot

Step-by-step explanation:

Given: Storage room is a cube.

Length of Edge = 300 feet

To find: Length of Diagonal of the wall.

Storage room is A Cube.

⇒ Walls are of Squares shape.

Angle at vertex of Square is 90°

⇒ Traingle made by diagonal and 2 side at time is right angled triangle.

By, Pythagoras theorem

Diagonal² = Side² + Side²

Diagonal² = 2 × Side²

Diagonal = $√(2* Side^2)$

Diagonal = $√(2)* Side$

So, using this formula, we get

Diagonal = $√(2)*300\:\:feet$ ≈ 424 foot

Therefore, Distance from a corner to the other corner of the storage room is 424 foot

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Alison wants to find out how much time people spend reading books. She is going to use a questionnaire.Design a suitable question for Alison to use in her questionnaire.

Answers

Well, for her questionnaire she could use and create questions or queries that are obviously related to her hypothesis or study. These could be done in a likert type of scale.
1.       I read most often.
a.       Strongly Agree b.      Agree c.       Disagree d.      Strongly Disagree

2.       When I read my books its takes me 24 hours a day
a.       Strongly Agree b.      Agree c.       Disagree d.      Strongly Disagree

3.       When I start reading I can’t stop
a.       Strongly Agree b.      Agree c.       Disagree d.      Strongly Disagree

What is 0.32 written as a fraction in simplest form?

Answers

0.32 in fraction form is 32/100. then to make it simplest form, divide by a common factor. 32/2 = 16 and 100/2 = 50, which gives you 16/50, however this can be simplified more. divide by 2 again and you have 8/25, which cannot be simplified any further. another way to have found this answer would be to find the greatest common factor as the first step, which would be 4; 32/4=8 and 100/4=25

Okay the last number behind the decimal is in the hundredths place put 32 over 100. 32/100. Now find a number they can both be divided equally by. The highest number they can both be divided by is 4. 32÷4=8 and 100÷4=25 now put 8 over 25 and you have your answer. ANSWER: 32/100=8/25

What is the surface area of a cube that measures 5 inches on each side?25 in 2
50 in 2
75 in 2
150 in 2

Answers

Surface area of a cube=6 x side²

Data:
Side=5 in.

Surface area of a cube=6(5 in)²=6(25 in²)=150 in².

Answer: 150 in².

What is the solution of −81=b6 ?A. b = −486
B. b = −75
C. b = 13.5
D. b = 486

Answers

We have to isolate b to be alone.
Soooo first we divide both sides by 6

-81 = b6
÷6 = ÷6 The right side cancels out and gets the b alone. While we solve the right side of the equal sign.
-81 ÷ 6 = -13.5
So this means we isolated b alone!
b = -13.5

Our final answer is..
b = -13.5

:)

Use the graphing calculator tool to plot the residualpoints. (1, 0.86), (2, -0.25), (3, -1.66), (4, -2.34), (5,-4.1)

Does the residual plot show that the line of best fit is
appropriate for the data?

A. Yes, the points have no pattern.

B. Yes, the points are evenly distributed about the x-axis.

C.No the points are in a linear pattern.

D.No, the points are in a curved pattern.

Answers

Answer: it’s option C: No, the points are in a linear pattern

Step-by-step explanation:

Took on edge

Final answer:

To determine if the line of best fit is appropriate for the data, plot the residuals on a graph and examine the pattern. In this case, the residual plot does not show a linear or curved pattern, indicating that the line of best fit is not appropriate for the data.

Explanation:

The residual plot shows the difference between the observed Y-values and the predicted Y-values. To plot the residuals, subtract the predicted Y-values from the observed Y-values for each corresponding X-value. Then plot the resulting points on a graph. In this case, the points are:

(1, 0.86), (2, -0.25), (3, -1.66), (4, -2.34), (5,-4.1).

To determine if the line of best fit is appropriate for the data, we need to examine the pattern of the residual plot. If the points have no pattern or are evenly distributed about the x-axis, it indicates that the line of best fit is appropriate. In this case, the points do not exhibit a linear or curved pattern, and they are not evenly distributed about the x-axis. Therefore, the residual plot does not show that the line of best fit is appropriate for the data.

Hence, the correct answer is: C. No the points are in a linear pattern.

Bryan is cooking cupcakes for a bake sale at his club. The recipe calls for 12 cups of flour. He has already put 3 cups of flour in the mixing bowl. How many more cups does he need to put in? Write an equation to represent this problem. Then solve.