In the figure below, the two triangular faces of the prism are fight triangles with sides of length 3, 4, and 5. The other three faces are rectangles. What is the surface area of the prism. 72 sq. units 96 sq. units 84 sq. units 108 sq. units

Answers

Answer 1

Answer: The surface area of the prism will be given by:
SA=(surface area of triangles)+(surface area of rectangles)
surface area of triangles=2(1/2*3*4)=12 sq. units

area rectangles
the length of the hypotenuse will be:
c²=a²+b²
c=√(3²+4²)
c=√25
c=5
area=(3*5)+(4*5)+(5*5)=60

Total area=60+12=72 sq. units

Answer: 72 sq. units

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08.01)Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school No, it is not a valid inference because his classmates do not make up a random sample of the students in the school Yes, it is a valid inference because he asked all 27 students in his art class Yes, it is a valid inference because his classmates make up a random sample of the students in the school  Question 2 (Multiple Choice Worth 5 points) (08.01)Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? 72 100 1,080 1,500
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Four teachers share 3 gallons of paint equally. How much paint does each teacher get
What is the value of y in the equation 2(2y – 14) = 0? 4 5 6 7
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:y > 1/2x + 2 a)The origin is not included in the shaded region, and the shaded area is above the line. b)The origin is not included in the shaded region, and the shaded area is below the line. c)The origin is included in the shaded region, and the shaded area is above the line. d)The origin is included in the shaded region, and the shaded area is below the line.

Expand and simplify 5(X-3)-2(2x+1)

Answers

5(x-3)-2(2x+1)
5x - 15 - 4x - 2
(5x - 4x) - 15 - 2
x - 15 - 2
x - 17

The answer is: x - 17.

What type of slope does (-7,8) and (-7,0) have?

Answers

Answer:

Undefined slope

Step-by-step explanation:

any number divided by 0 is undefined

-8/0

Answer: m=12/7

Step-by-step explanation:

I looked it up for you bro

For what value of θ, in degrees, is sin θ = cos 58°?

Answers

Answer:

The value of $\theta$ is, 32 degree.

Step-by-step explanation:

Given the equation:

$\sin \theta = \cos 58^(\circ)$

We have to find the value of $\theta$

Using the rule:

$\cos (90-\theta) = \sin \theta$

then;

$\cos (90-\theta) = \cos 58^(\circ)$

Comparing both sides we have;

$90^(\circ)-\theta = 58^(\circ)$

Subtract 90 from both sides we have;

$-\theta = -32^(\circ)$

Simplify:

$\theta = 32^(\circ)$

Therefore, the value of $\theta$ is, 32 degree.

Hope you can see and understand what I wrote

Jonas has 40 marbles. He gave 1/5 of the marbles to marvin and 3/8 of the marbles to leroy. How many marbles did each boy get?

Answers

1/5 x 40

= 8 marbles

3/8 x 40

= 15 marbles

just multiply all both fraction with 40, hence u will get

Marvin=1/5 x 40=8
Leroy=3/8 x 40=15
Jonah will have 17 marbles left.

Weinstein, McDermott, and Roediger (2010) con- ducted an experiment to evaluate the effectiveness of different study strategies. One part of the study asked students to prepare for a test by reading a passage. In one condition, students generated and answered questions after reading the passage. In a se tion, students simply read the passage a second time. All students were then given a test on the passage material and the researchers recorded the number of correct answers. a. Identify the dependent variable for this study. b. Is the dependent variable discrete or continuous? c. What scale of measurement (nominal, ordinal, interval, or ratio) is used to measure the dependent variable? or h ctudy reports that alcohol consumption is ta university why or why not. pidor inexperiment?

Answers

Answer:

Weinstein, McDermott, and Roediger (2010) conducted an experiment to evaluate the effectiveness of different study strategies.

One part of the study asked students to prepare for a test by reading a passage.

In one condition, students generated and answered questions after reading the passage.

In a second condition, students simply read the passage a second time.

All students were then given a test on the passage material and the researchers recorded the number of correct answers.

a. Identify the dependent variable for this study:

The dependent variable for this study is effectiveness.

b. Is the dependent variable discrete or continuous?

The dependent variable is discrete.

c. What scale of measurement (nominal, ordinal, interval, or ratio) is used to measure the dependent variable?

The scale of measurement is ratio scale.

Step-by-step explanation:

a) To identify the dependent variable you need to find the item, circumstance, concept, sense, time frame, or any category in an specific scientific research, that is going to be measured. In this particular case, the dependent variable measured is the effectiveness of the different study strategies used based by the number of correct answers on a test. This variable could be influenced by independent variables also.

b) The method by which we obtain the resulting values make the difference between a discrete variable and a continuous variable. If measuring is the used method, then it is a continuous variable, but if counting is the utilized method to get the correct number of correct answers, as it is stated in this case, then it is a discrete, finite and countable.

c) The measurements´ accuracy are given by the different scales or levels and they are classified as:

- Nominal

- Ordinal

- Interval

- Ratio

Interval and ratio scales data are similiar is also known as called metric, sharing units, and represent quantiy., therefore the scale of measurement used in this study is ratio scale.

The cylinder shown has a radius of 3 inches the height is three times the radius find the volume of the cylinder round your solution to the nearest 10th