A rectangular prism has the dimensions shown. What is the total area of the prism?

170 cm 2
270 cm 2
310 cm 2
120 cm 2

Solution:

Let (1,8)=(x1,y1)

(-1,-2)=(x2,y2)

D=?

Now,

D=

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1)} ^{2} [/tex]

or, D=

[tex] \sqrt{( -1 - 1) ^{2} + ( - 2 - 8) ^{2} } [/tex]

[tex] \sqrt{( -2) ^{2} + ( - 10) ^{2} } [/tex]

[tex] \sqrt{4 + 100 } [/tex]

[tex] \sqrt{104} [/tex]

2[tex] \sqrt{26} [/tex]

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Answer:

3:15 p.m.

Step-by-step explanation:

45 minutes past 2:30 p.m. is 3:15 p.m.

2:30 p.m. to 3:00 p.m. is 30 minutes

3:00 p.m. to 3:15 p.m. is 15 minutes

30+15 = 45 minutes

Answer:

She will be at cheerleading practice at 3:15 pm?

Step-by-step explanation:

Fake college smh

The unknown angle of the triangle is as follows:

∠BCE =  65 degrees

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the angle ∠BCE can be found as follows:

∠BAC = 70 degrees

∠ABC = 60 degrees

∠ACB = 180 - 70 - 60

∠ACB = 180 - 130

∠ACB = 50 degrees

Hence, using exterior angle theorem,

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

∠BCD = 60 + 70 = 130 degrees

Hence,

∠BCE = 130 / 2 = 65 degrees

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Answer:

Total cost for team: $1285.05

Step-by-step explanation:

45.95 + 23.95 + 28.95 = 98.85

98.85 * 13 = 1285.05

The answer to this is A. I hope this helps

Answer:

Unemployment rate = 5.3%

Step-by-step explanation:

8000/150000 = 0.053

Convert to percentage:

0.053*100 = 5.3%

Answer:

The area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2

Step-by-step explanation:

To increase the size of a triangle by a scale factor of 10/3, you can multiply each side length of the triangle by 10/3.

The new dimensions of the triangle would be (10/3) * 9ft = 30ft and (10/3) * 12ft = 40ft.

The area of a triangle is given by the formula A = (1/2) * b * h, where b is the length of the base and h is the height of the triangle.

Using the new dimensions of the triangle, the area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2.

Answer:

62.5

Step-by-step explanation:

You would take 62.5% and 45, using long multiplication to get .625

You would then multiply .625 and 100, getting 62.5

The angle of elevation from the person to the birds nest is 29^o.

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

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Answer:

9.0 ft

Step-by-step explanation:

Let the distance from the bottom of the board to the edge of the wall be represented as "x"

Angle measure = θ = 53.13°

Hypotenuse = 15 ft

Adjacent side = x ft

The trigonometric ratio we would apply would be CAH:

Thus,

Cosine θ = Adjacent/Hypotenuse

Plug in the values

Cos 53.13° = x/15

Multiply both sides by 15

15 * Cos 53.13 = x

9.00002143 = x

x ≈ 9.0 ft (nearest tenth)

Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft

Answer:

V≈1150.35cm³

Step-by-step explanation:

Using the formulas

V=4 /3πr3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³

Answer: 128 ounces

Step-by-step explanation:

One ounce has a mass of 16 and 16 x 8 is 128

On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

from data provided by the graphs,

we have a straight line,

which means that the coordinates are equal.

so the equation will be x = y

x-y = 0

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Answer:

6

Step-by-step explanation:

The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:

180 = 5x + x + 54 + 90

90 comes from the square indicating a right angle.

Using that equation, solve for x.

180 = 5x + x + 54 + 90

First, combine like terms.

180 = 6x + 144

Then subtract 144 from both sides

36 = 6x

Divide both sides by 6 to isolate x

6 = x

So x = 6°

Answer:

It should be 2.016 m cubed

Step-by-step explanation:

the formula is V= 1/3 ( l × w × h ) if you want to check

Answer:

box 2 and 3

Step-by-step explanation:

the rays are the only two that form the angle of 1

Answer:

(x-c) is a factor of f(x)

Answer:

[tex]\sqrt{253}[/tex]

Step-by-step explanation:

The question asks to use the Pythagorean Theorem...

which is [tex]a^{2} + b^2 = c^2[/tex]

1. Note that c is always the hypotnuse (the longest side of the triangle)

2. Note that a and b represent both legs of the triangle

3. Find b using pythagorean theorem (x = b)

[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]

Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]

Answer:

8/13

Step-by-step explanation:

5 + 5 + 3 = 13 total

5 red balls + 3 green balls = 8

Answer:

5148 months

Step-by-step explanation:

the equation that can be used to represent this question is :

100 + 50x = total amount that would be saved in x month

x = number of months

100 + 50x = 257,500

collect like terms

50x = 257,500 - 100

50x = 257,400

x = 257,400 / 50

x = 5148 months

Answer:

1.40

Step-by-step explanation:

Given that

the number of customers are 130

The variance is 256

And, the sample mean is $21.50

We need to find out the standard error

So , the standard deviation is

= sqrt(variance)

= sqrt(256)

= 16

As we know that

standard error of mean = standard deviation ÷ sqrt(n)

= 16 ÷ sqrt(130)

= 1.40

shue isvsye jrue si buabs ikwgeh oshe

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

there is a 36% percent chance

Step-by-step explanation:

28/76 = 36/100 to get the probability.

Answer: 7/19

Step-by-step explanation: You must realize that 28/76 is the probability of randomly selecting a rock CD out of his Cd collection since 28 of the 76 are rock. However, the question asks you to simplify this fraction. Both the numerator and the denominator are divisible by 4, so the simplified answer is a 7/19 probability.

Answer: