Emily is using glass to make a display case in the shape of a triangular prism the net of the display shown exactly how much glass is needed to make a display case

Answers

Answer 1

The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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Related Questions

8⁶ ÷ 8?
can yall help me my brains gone dead ​

Answers

Answer:

32768

Step-by-step explanation:

8^6 is 262144, divide by 8. Your answer is 32768

Answer:

32768

Step-by-step explanation:

8 to the power of 6 is 262144

262144 divided by 8=32768

also invite me to ur brains funeral

i need help PLEASE DONT GIVE ME THE BITLY LINKS

Answers

Answer:

610

Step-by-step explanation:

area of triangle is A=0.5*h*b

a=0.5*20*(8+8+15)

a=310

area of square=lh

a=15*20

a=300

300+310=610

Do isosceles triangles have 3 congruent angles?

Answers

Yes, isosceles triangles have three congruent angles.

An isosceles triangle is a triangle with at least two congruent sides and two congruent angles. The two congruent sides and two congruent angles form an isosceles triangle. The two congruent angles are known as the base angles, and they are opposite to the two congruent sides. The third angle in an isosceles triangle must also be congruent to the two base angles in order for the triangle to be true. This is because the angles of a triangle must always sum up to 180 degrees. Therefore, isosceles triangles have three congruent angles. These angles are all equal in measure and have the same shape. The angles of each isosceles triangle can be different from other isosceles triangles, but the angles are still congruent to each other. Therefore, isosceles triangles have three congruent angles.

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SOMEONE PLS TELL ME IF IM RIGHT ILL MARK BRAINLIEST

Answers

Answer:

u r correct

look at the picture I sent

Answer:

Its actually 5 you were about 4 away

What is the sum of all the positive two-digit integers where one of the digits is three times the other

Answers

The sum of all the positive two-digit integers where one of the digits is three times the other is 630.

To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.

For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.

For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.

The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.

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The average weekly salary of two employees is $5350. One makes $250 more than the other. Find their salaries.
One employee makes $
and the other makes $?

Answers

Answer:

g

Step-by-step explanation:

g

1. Find the value of the expressions using the correct order of operations.
a. -8 +5 (-3))
b. 5. (
29)
- 8+ -15 = -23
c. -57-4-3
0
d. 4+ (-5). 5-6
e. 3.-5. (-5)
f. (-5 + 4) 8
-8
21
8.
P: -64.-16 -
2
-5
i. -8
4
2. Find the value of the expressions when x = -2 and y - 5.
a. x(y + 1) -2 (5+1)
b. xy + 1
c. -2(x + y)

Answers

All the answers to your questions. The ones you did are correct as well

is y = x proportional

Answers

Answer:

yes

Step-by-step explanation:

What is the factor of the dilation?

Answers

The scale factor of dilation explains how the size of the figure has changed. An expansion has a scale factor of x > 1 (greater than 1).

A reduction is a scale factor that is 0 <1 (higher than 0 but less than 1).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

A dilatation that results in a reduction (imagine shrinking) or an expansion (think stretching) produces a smaller or bigger picture, respectively.

The picture is reduced if the scale factor is between 0 and 1.

The picture is an enlargement if the scale factor is larger than 1.

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Complete the table with values for x or y that make this equation true : 3x+y=15.

Answers

Answer:

Step-by-step explanation:

So first, with the given table you need to "plug-in" the numbers that are there for x and y.

Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":

3x+y=15

3(2)+y=15

6+y=15

-6      -6

y=9

So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.

Hope this helps!

Answer is in the attachment. A graph and a filled in table.

Step by step

I graphed the line and found the matching x and y points. Example, given x=2 on the table, find x =2 and find where y crosses, that’s your y value of 9. Next is a y=3, find that point on the graph, where does the line cross for x? At x=4. Continue with the remainder numbers on the table. Graph all the points.


Table as follows

2 4 6 0 3 5 2.3333
_________________________
9 3 -3 15 6 0 8

Find the range, mean, median and mode for the scores. Round to the nearest tenth when necessary.a.40; 75.5; 75; 75c.40; 74.5; 75; 100b.35; 75.5; 75; 75d.40; 74.5; 75; 75

Answers

Range: (Largest Number) - (Smallest Number)

Answer: 100 - 35 = 65

Mean: (Add up all the numbers) divided by (Amount of numbers)

Answer: 1080/16 = 67.5

Median: (Put all the numbers in numerical order and find the one in the middle)

Answer: 75

Mode: (Most seen number)
Answer: 75

40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue

Answers

40% of Damien’s marbles are 6/5 or 1.2.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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Willow has a board that is 10 feet long. She needs to cut the board into equal pieces that are 1/3 feet long.

How many pieces can she cut?

Answers

Answer:

12

Step-by-step explanation:

Write a recursive formula for an,the nth term of the sequence 125, -25, 5, ...

Answers

Recursive formula for a(n) , the nth term of the sequence is

⇒ a(n) = 125 × (5)ⁿ⁻¹

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

The sequence is,

⇒ 125, - 25, 5 , ....

Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.

We know that;

The nth term of geometry sequence is,

⇒ a(n) = a rⁿ⁻¹

Where, 'r' is common ratio and 'a' is first term of the sequence.

Substitute all the values, we get;

The nth term of the given sequence is,

⇒ a(n) = a rⁿ⁻¹

⇒ a(n) = 125 × (5)ⁿ⁻¹

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50PTS 50PTS don’t explain just answer.

Answers

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ 2x + 5 = 3x - 2

Then the value of x will be,

→ 2x + 5 = 3x - 2

→ 2x - 3x = -2 - 5

→ -x = -7

→ [ x = 7 ]

Hence, the value of x is 7.

You fill a 13 1/2 gallon tub 1/9 full of water. How many gallons of water are in the tub?

Answers

Answer:

2

Step-by-step explanation:

I also agree with the other person who commented it is 2

A sequence is represented by the explicit formula

Answers

The 40th term of the sequence  aₙ = - 24 - 3n is - 144.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A sequence is represented by the explicit formula aₙ = - 24 - 3n.

We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Therefore, To find a₄₀, we'll simply replace n with 40.

So, a₄₀ = - 24 - 3(40).

a₄₀ = - 24 - 120.

a₄₀ = - 144.

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what is the correct value of 3x + 2 for x = 5?

Answers

Answer:

17

Step-by-step explanation:

3x + 2

x = 5

3x + 2

3(5) + 2

15 + 2

17

[tex]\boxed{The\:value\:of\:3x\:+\:2\:for\:"x\:=\:5"\:is\:17.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3x + 2 \\ = 3(5) + 2 \\ = 3 \times 5 + 2 \\ = 15 + 2 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

help me on this one bro I hate math

Answers

The initial amount of the investment is $800, the investment grows at the rate of 10% each year, and the value of the investment after 12 years is $1760.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph.

(0, 800), (1, 880), (2, 968)

x-coordinate is the number of years and the y-coordinate denotes the Value.

Now,

The initial amount of the investment is when x = 0.

= 800

Now,

Rate of change of the value each year.

=(880 - 800) / (1 - 0)

= $80

Rate of percentage.

= 80/800 x 100

= 10%

Now,

The value of the investment after 12 years.

= 800 + 12 x 80

= 800 + 960

= $1760

Thus,

The initial amount of the investment is $800.

The investment grows at the rate of 10% each year.

The value of the investment after 12 years is $1760.

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Jaime went to have a haircut that cost $40. She wanted to tip the hair stylist 20% and tax is 6.25%. How much did she spend total for the haircut?

Answers

Answer: $50.50

Step by step solution:

20+6.25=26.25/100= .2625
40*.2625=$10.5
40*10.5=$50.50

How many triangles are there in the following figure 18 17 16 15?

Answers

There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.

The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.

However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.

Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.

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what can 18 and 6 both be divided by​

Answers

Answer:

6

Step-by-step explanation:

they can both be divided by 6

Answer:

they can both be divided by 6

Step-by-step explanation:

18÷6=3

6÷6=1

A museum has scale models representing different time periods in history. A scale in which one inch in the model represents two feet is used to construct the models. The museum's sculptor wants to build a model of an 18-foot-tall tree for one of the exhibits. How tall should she make the model of the tree?

Answers

Answer:

9 in

Step-by-step explanation:

Use ratios:

1 in ⇔ 2 ftx in ⇔ 18 ft

Solve by cross-multiplication:

1/2 = x/ 182x = 18x = 9 in

Find the surface area of a square pyramid with side length 6 cm and slant height 7 cm.

Answers

Answer:

120

Step-by-step explanation:Over all plan:

This is a square pyramid so you know that all four triangular sides are congruent. This means that to solve this problem, which is asking you to find the surface area, you need to find the area of one of these triangles, and multiply that by 4. Next you need to find the area of the square and add it to the areas of the triangles.

Detailed Steps:

You know the formula to finding the area of the triangle is [tex]\frac{bh}{2}[/tex] where b is the base length and h is the height. We are given b = 6 and h = 7 in your question.Plug in the values into the formula.  You get: [tex]\frac{6\cdot7}{2}[/tex]Simplify. You get: [tex]\frac{42}{2} = 21[/tex]Next Multiply this by 4 to find out the total area of all the triangular faces.21 x 4 = 84Now find the area of the square. The formula for the area of a square is [tex]s^2[/tex] where s is the given value of a side.

Plug in your value, [tex]6^2=36[/tex]

36+84=120.

120 is your final answer.

hope this helped

peace ✌

Find the greatest common factor of $144$ and $405$.

Answers

Answer:The answer to your question is 9

10) En un triángulo rectángulo ABC, B es un ángulo
recto y m < A = 23° (medida del ángulo A). Si el
lado opuesto al ángulo A mide 17cm ¿Cuánto
mide la hipotenusa?

Answers

Answer:

140

Step-by-step explanation:

Primera tienes que sumar 23 y 17 despues tienes que buscar la differencia de 180 y 40.

Find BC. AB=25 AC=25 BD=3x+4 DC=4x-5

Answers

Answer:

b

Step-by-step explanation:

Since AB = AC = 25, then the triangle is isosceles

Segment AD bisects BC at right angles , then

CD = BD, that is

4x - 5 = 3x + 4 ( subtract 3x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

Then

BC = 3x + 4 + 4x - 5 = 7x - 1 = 7(9) - 1 = 63 - 1 = 62

Answer:

3x+4=4x-5

3x‐(4x)=-5+-4

x=9

plug in 9 for x on both sides and add them together to find BC

each side is 31,

answer is 62.

In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC

Answers

The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.

Given that:

[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]

Since, BH is the altitude [tex]\angle MHC= 90[/tex].

The total angle of a quadrilateral is 360, hence:

100 + 110 + 90 + C = 360

C = 60 degrees.

Now consider triangle BHC:

The sum of angle of a triangle is 180, hence:

90 + 60 + B = 180

B = 30

Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].

Consider triangle ABC:

Using sum of triangles, we have:

[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]

Hence the measure of angles of triangle ABC is 60 degrees.

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PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

The first law of motion

Step-by-step explanation:

28.2, 27.22, 27.62 , 27.54 , 27.5 in Greatest to Least

Answers

Answer:

28.2, 27.63, 27.54, 27.5, 27.22

Answer: 28.2, 27.62,27.5,27.22

Step-by-step explanation:

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