What is the number with the mark

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]

The area of the rectangle will be

[tex]\rm Area \ of \ rectangle = a \ h[/tex]

Then the total surface area will be

[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

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Answer:

72 square inches

Step-by-step explanation:

Answer:

tan ¤ = opp/adj

tan ¤ = 20/50

since opposite of the angle is 20, height of the tree is 20 feet.

Ans : D

Answer:

Explanation:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(x)= \dfrac{20}{50}[/tex]

Answer:

just practice alot . .. ...........

Answer:

you could do all your work and try to ask the teacher for help

Step-by-step explanation:

Answer:

That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^

Answer:

51.0285714…

Step-by-step explanation:

you just multiply them together.

Answer:

Step-by-step explanation:

→ Multiply the 2 lengths together

[tex]6\frac{5}{7} *7\frac{3}{5}[/tex]

→ Convert both to improper

[tex]\frac{47}{7} *\frac{38}{5}[/tex]

→ Multiply

[tex]\frac{1786}{35}[/tex]

→ Convert to mixed fraction

[tex]51\frac{1}{35}[/tex]

Answer: 250 ≤ 100+5x

150≤5x divide by 5

30≤x

It will take 30 weeks to earn enough.

Step-by-step explanation:

Answer:

x=-3.5 and y=6.25

Step-by-step explanation:

x+2y=9

x=9-2y

-6(9-2y)+4y=46

-54+12y+4y=46

16y-54=46

16y = 100

y = 100/16 = 50/8 = 25/4 = 6.25

x+2(6.25)=9

x+12.5=9

x= -3.5

Answer: $804

Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.

Answer:

It should be $538 left after the bills

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .

The length of apothem (a) is given by:

[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

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Answer:

​x​³ + 9x² + 16x - 6

Step-by-step explanation:

First, you have to multiply x + 3 with x² + 6x - 2.

(x + 3)(x² + 6x - 2)

You will get:

x · x² = x³

x · 6x = 6x²

x · -2 = -2x

3 · x² = 3x²

3 · 6x = 18x

3 · -2 = -6

When you combine these, you get:

x³ + 6x² - 2x + 3x² + 18x - 6

Add them up to get your answer,

x​³ + 9x² + 16x - 6.

Hope this helps!

Answer:

1. [tex]5x^{2} - 8[/tex]

2. [tex]NaN-16[/tex]

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.

Answer:

[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]

Step-by-step explanation:

First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].

Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].

Finally, we have all of our necessary information to set up all of our partial fractions.

This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.

2×+3y=6

-8×-3y=12

-6×=18

×=18/-6

×=-3

——————

2×+3y=6

2(3)+3y=6

6+3y=6

3y=6-6

3y=0

Y=0/3

Y=0

——————

×=3

Y=0

————

2×+3y=6

2(3)+3(0)=6

6=6

The answer is B i took the quiz

Answer: 5.25 square inches

Step-by-step explanation:

A=(1/2)bh=(1/2)(3.5)(3)=5.25

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.

The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:

V = (π/3) · R² · h     (1)

s = 2π · R     (2)

Where:

If we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:

[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]    

[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]

R ≈ 4.583 ft

s = 2π · (4.583 ft)

s ≈ 28.796 ft

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]

The statement is complete, complete form is introduced below:

A farmer plans to buid the small silo  to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?

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Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

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Answer: C. Rotating a right triangle around its vertical axis will form a cone.

Step-by-step explanation: CORRECT on Plato/Edmentum.

Answer:

950.331ft^3

Step-by-step explanation:

I hope this is correct...

I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.

Answer:

38

Step-by-step explanation: subtraction:

Input interpretation: x: 105-67=

Ratio in lowest terms: 38

Division:

105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.

The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

By the above theorem, the equation is written as,

x + 67 = 107

Simplify the equation, then we have

x + 67 = 105

x = 105 - 67

x = 38°

The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.

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Answer:I think it would be the third one

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rewrite the equation as

Powers are equal if bases are same

~Hello! I will try to help you!

[tex] \Rightarrow \sf {2}^{x - 1} = 8[/tex]

»Convert the number 8 to a power of 2, then:-

[tex] \Rightarrow \sf {2}^{x - 1} = {2}^{3} [/tex]

»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.

[tex] \Rightarrow \sf \cancel2 {}^{x - 1} = { \cancel2}^{3} [/tex]

»Let's find the value of x in the above equation!

[tex] \Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4[/tex]

With this it's done!

Answer:

250

Step-by-step explanation:

Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5

As x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.

Given function is:

[tex]f(x) = \frac{2x}{1-x^{2} }[/tex]

A function f(x) is a rule which relates two variables where x and y are independent and dependent variables.

Divide the numerator and denominator of the given function by x.

[tex]f(x) = \frac{2}{\frac{1}{x} -x}[/tex]

[tex]\lim_{x \to \infty} f(x) \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x}[/tex]

As we know that as x approaches the infinity 1/x approaches 0.

So, [tex]\\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x} = \lim_{x \to \infty} \frac{2}{-x}[/tex]

[tex]\lim_{x \to \infty} \frac{-2}{x} =0[/tex]

Therefore, as x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.

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Answer:

y=3x

Step-by-step explanation:

hello :

an equation is : y=ax  (  the line that passes through (0, 0) )

and (2, 6): x= 2   y=6     qo : 6 = a ×2        a =3

an equation of the line that passes through (0, 0) and (2, 6) is : y=3x

The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,

y = mx + b, where m is the slope and b the y-intercept.

The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.

The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).

We have been given two points on the required line, (0, 0) and (2, 6)

We take the points as (x₁, y₁), and (x₂, y₂) respectively.

∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.

Since it's an equation of a line, we use the two-point method to determine the equation.

The two-point formula is:

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

Substituting the values we have, we get:

y - 0 = ((6-0)/(2-0))*(x-0)

or, y = 3x.

∴ The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

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