Find the volume of the rectangular prism with a base area of 13 square feet and a height of 7 feet.
Group of answer choices

91 cubic ft

31 cubic ft

20 cubic ft

8 cubic ft

Answer:y=4/x−4−3

Step-by-step explanation:Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

Answer:

The equation is wrongexplanatiowrongexplanwrongo

Step-by-step explanation:

Answer:

7x50=350

Step-by-step explanation:

Answer:

the domain is the input or the x value, while the range consists of y values or the output of an input output table.

Step-by-step explanation:

Answer:

7(2x + 12) = -28

14x + 84 = -28

14x + 0 = -112

14x/14     -112/14

x = -8

Step-by-step explanation:

hope this helps :)

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral

are supplementary. (Sum up to 180°)

Hence alpha + 50° = 180°,

Alpha angle = 130°.

Answer:

Sum of the opposite angles of a cyclic quadrilateral is 180°

\( \alpha + 50 = 180 \\ \alpha = 180 - 50 \\ \boxed{\alpha = 130}\)

Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

The sequence that represents the first fiver terms is:

6, 26, 126, 626, 3126

The formula that depicts the given sequence is:

k(n) = 5ⁿ + 1

We are told that it is the formula for the first five terms of the sequence.

When n = 1, we have:

k(1) = 5¹ + 1 = 6

k(2) = 5² + 1 = 26

k(3) = 5³ + 1 = 126

k(4) = 5⁴ + 1 = 626

k(5) = 5⁵ + 1 = 3126

Thus, the required sequence is:

6, 26, 126, 626, 3126

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Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.

Let's define the variables:

x = cost of the washer.

y = cost of the dryer.

We know that the cost combined is $1000, then:

x  + y = 1000

And the washer cost 3 times the cost of the dryer, then we will get:

x = 3y

So we have a system of equations, we can replace the second equation into the first one, so we will get:

3y + y = 1000

4y = 1000

y = 1000/4

y = 250

The cost of the washer is:

x = 3*250 = 750

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Answer:

3200 of 768 is 416.67%

Step-by-step explanation:

There's your answer hope this helps.

Given that the line passes through these points:

You can find the slope of the line using this formula:

Where these two points are on the line:

In this case, you can set up that:

Substituting values into the formula and evaluating, you get:

By definition, the Slope-Intercept Form of the equation of a line is:

Where "m" is the slope and "b" is the y-intercept.

In order to find the value of "b", you can substitute the slope and the coordinate of one of the points on the line into the equation, and then solve for "b":

Therefore, you get that the equation of this line in Slope-Intercept Form is:

Since you must write the equation in Standard Form:

Where A, B and C are numbers.

You need to subtract the x-term from both sides of the equation:

Hence, the answer is: Option D.

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

Assuming the similarity is that BC scales to EF, answer is

D. 1.5BC

Step-by-step explanation:

Because the triangles are smilar, AB/BC = DE/EF

If AB = 2BC

then DE = 2EF

but also DE = 3BC

so 2EF = 3BC

EF = 1.5BC

Answer:

1010010001

Step-by-step explanation:

Keep dividing 657 by 2, and record the quotient and remainder

657

328,1

164,0

82,0

41,0

20,1

10,0

5,0

2,1

1,0

So chain the remainders from bottom up to get the binary number:

1010010001

Check:

1+16+128+512=657  checks.

Given:

There is an expression given as below

Required:

We need to find the division

Explanation:

Final answer:

(68/73)+(11/73)i

Answer:

a)  zero triangles.

b)  one triangle.

Step-by-step explanation:

In triangle ABC:

Given:

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:

\(\implies \sf \dfrac{\sin 51^{\circ}}{10}=\dfrac{\sin B}{28}\)

\(\implies \sf \sin B=\dfrac{28\sin 51^{\circ}}{10}\)

\(\implies \sf \sin B=2.176008...\)

As -1 ≤ sin B ≤ 1, there is no solution for angle B.

Therefore, zero triangles are possible.

----------------------------------------------------------------------------------

Given:

Law of Sines

\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle A:

\(\implies \sf \dfrac{\sin A}{24}=\dfrac{\sin 30^{\circ}}{12}\)

\(\implies \sf \sin A=\dfrac{24\sin 30^{\circ}}{12}\)

\(\implies \sf \sin A=1\)

\(\implies \sf A=\sin^{-1}(1)\)

\(\implies \sf A=90^{\circ}\)

Therefore, one triangle is possible (see attachment).

Answer:

Step-by-step explanation:

It would be -5 3-5=-2

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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The lines CA and CD are tangents to the circle O, hence; EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°.

The tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency

If OB = 6 and AB = 8, then;

OA = √(8² + 6²) {by Pythagoras rule}

OA = √100

OA = 10

EA = OA - OE(radius)

EA = 10 - 6 = 4

If DE = 16 and EA = 9, then;

OA = (diameter/2) + EA

OA = 8 + 9 = 17

AB = √(17² - 8²)

AB = √225

AB = 15

OB is perpendicular to line CA tangent to the circle so m∠ABO = 90°

OD is perpendicular to the line CD tangent to the circle so m∠ODC = 90°

If m∠DOB = 120° then;

120° = m∠ABO + m∠EAB {exterior angle of a triangle is equal to the two opposite interior angles}

m∠EAB = 120° - 90°

m∠EAB = 30°

In conclusion, for the lines tangent to the circle, we have that;

EA = 4, AB = 15, m∠ABO = 90°, m∠ODC = 90°, and m∠EAB = 30°

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Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Answer:

Explanation:

From the given figure:

• The base of the triangle, b = (4x-2) cm

• The perpendicular height, h = (2x+12) cm

The area of a triangle is calculated using the formula:

Substitute the given expressions:

Next, open the brackets:

The area of the triangle is:

The height function with respect to time has been given to be:

a)

At x = 2secs, the height of the ball is:

Hence, at 2 seconds, the height of the ball is 107 feet

b)

At x = 4secs, the height of the ball is:

Hence, at 4 seconds, the height of the ball is 57 feet

Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

Main Answer: The total surface area of cylinder B is approximately 476.7  square units.

Supporting Question and Answer:

How is the surface area of a cylinder calculated?

The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:

A = 2πrh + 2π\(r^{2}\)

where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.

The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.

Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.

The total surface area of a cylinder is given by the formula:

Area = 2πrh + 2π\(r^{2}\)

For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:

180 = 2πrh + 2π\(r^{2}\)

90 = πrh + π\(r^{2}\)

We can rearrange this equation to solve for r:

r² + rh - 90/π=0

Using the quAdratic formula,we get:

r = (-h ± √((h)² + 4(90/π)))/2

r = -h/2 ± √(h² + 4(90/π))/2

Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.

R = 2r= -h ± √(h² + 4(90/π))

We can use this expression to find the surface area of cylinder B:

Surface area of cylinder B = 2πR² + 2πR(2h)

Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))

We can use the value we found for 2h using the quadratic formula in the expression to get:

Surface area of cylinder B = 476.7 square units (rounded to one decimal place)

Therefore, the total surface area of cylinder B is approximately 476.7  square units.

Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7  square units.

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The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:False

Step-by-step explanation: a circle has infinite lines of symmetry an oval has two

you would cross multiply meaning 6(2x+2)=11(x-4) Then you distribute 6 so it would be 12x+12=11x-44 then you have to move the constant and the variable so 12x-11x= -44-12 so then the answer would be x = -56