Four boxes are shown in order from the largest volume to the smallest volume. For each box, all of the dimensions are 3.5cm less than the next larger box. To the nearest cubic centimeter, what is the volume of box D?

Answer:

B - 593.8 ft2

Step-by-step explanation:

I also just finish the quiz and got the question right.

To find the base: 10 x 18 = 180

There are 4 lateral face, two each are conguent:

18 x 14.1 = 253.8

253.8 divided by 2 = 126.9

126.9 x 2 = 253.8

Other conguent sides:

10 x 16 = 160

160 divided by 2 = 80

80 x 2 = 160

Finally: 180 + 253.8 + 160 = 593.8 ft2

The required surface area of the rectangular pyramid is  593.8 ft². Therefore, the correct answer is option B.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

As mentioned in the question, the rectangular pyramid has a rectangular base with dimensions of 18 ft by 10 ft, and four triangular faces. Two of the triangular faces have a base of 18 ft and a height of 14.1 ft, while the other two have a base of 10 ft and a height of 16 ft.

The area of the rectangular base is:

18 ft × 10 ft = 180 ft²

The area of each of the triangular faces is:

(1/2) × base × height

For the first two triangles:

(1/2) × 18 ft × 14.1 ft = 126.9 ft² each

For the second two triangles:

(1/2) × 10 ft × 16 ft = 80 ft² each

The total surface area of the rectangular pyramid is:

180 ft² + 126.9 ft² + 126.9 ft² + 80 ft² + 80 ft² = 593.8 ft²

So, the surface area of the rectangular pyramid is 593.8 ft². Therefore, the correct answer is option B.

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Answer:

what do you mean the best description?

Step-by-step explanation:

Answer:

: the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3

Step-by-step explanation:

f(xequal 6 [1/nitial value x=0, f(x) = 60*[1/3]^0 = 60*1 = 60x=1 ⇒f(1) = 60*[1/3]x=2 f(2) = 60*[1/3]^2 = f(1) * [1/3]x = n  f(n) = 60*[1/3]^n=60*[1/3]^(n-1)*[1/3] = f(n-1)*[1/3]

Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

[tex]x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4[/tex]

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

[tex]y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2[/tex]

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

Answer:

The sprinkler can spread water in a radius of 24 feet.

Step-by-step explanation:

Since the sprinkler sends water in a circular pattern in order to find the distance at which it can spread the water we need to find the radius of the circle. The area of the circle is said to be 1808.64 and it's formula is given by:

area = pi*r²

1808.64 = 3.14*r²

r² = 1808.64/3.14 = 576

r = sqrt(576) = 24 feet

The sprinkler can spread water in a radius of 24 feet.

Answer:

The length of the longer segment of the 50 cm chord = 40

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

So, the the length of the longer segment of the 50 cm chord = 40

Answer:

23cm

Step-by-step explanation:

In the circle below, AB, CD, and EF are the chords of the circle. Chord CD is the diameter of the circle.

= 2√ (142−82)

= 2√ (196 − 64)

= 2√ (132)

= 2 x 11.5

= 23

Answer:

$10/month

Step-by-step explanation:

Answer:

-7x + 14 = 56

Subtract 14 both sides

-7x + 14 - 14 = 56 - 14

-7x = 42

Divide both sides by -7

(-7x)/(-7) = 42/(-7)

x = -6

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

-7x + 14 = 56     Subtract 14 on both sides

-7x = 42    Divide -7 on both sides to get "x" by itself

x = -6

Answer:

d

Step-by-step explanation:

Answer:

Yes this is a function

Step-by-step explanation:

y = 2x + 2

0 = 2(-1) + 2

0 = -2 + 2

0 = 0

Yes

2 = 2(0) + 2

2 = 0 + 2

2 = 2

Yes

4 = 2(1) + 2

4 = 2 + 2

4 = 4

Yes

6 = 2(2) + 2

6 = 4 + 2

6 = 6

Yes

The equation y = 2x + 2 is a function, because each 'x' value corresponds to a single 'y' value, as per the mathematical definition of a function.

The graph of the equation y = 2x + 2 does indeed represent a function. In mathematics, a function is defined as a relation in which each input (or 'x' value) corresponds to exactly one output (or 'y' value). In the given coordinate pairs, you will notice that each individual 'x' value (such as -1, 0, 1, and 2) corresponds to a single 'y' value. Furthermore, the equation itself, y = 2x + 2, will always yield a single 'y' value for each 'x' value you substitute into it. This aligns with the definition of a function. Hence, the equation y = 2x + 2 is a function.

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Answer:

b^9

Step-by-step explanation:

We can only subtract or add roots to each other but if we are cubing we can divide them by 3.

Answer:

Its C

Step-by-step explanation:

edge 2021

Maya should first isolate the variable  [tex]\( x^2 \)[/tex] before completing the square.

The steps to solve the quadratic equation [tex]\( 4x^2 + 16x + 3 = 0 \)[/tex] by completing the square are as follows:

1.*Isolate the variable - To do this, Maya should move the constant term to the other side of the equation by subtracting 3 from both sides:

[tex]\[ 4x^2 + 16x = -3 \][/tex]

2. Factor out the coefficient of  -The coefficient of x² is 4. Factor out 4 from the terms involving  x

[tex]\[ 4(x^2 + 4x) = -3 \][/tex]

3. Complete the square To complete the square, Maya should add the square of half the coefficient of x t both sides of the equation. Half of 4 is 2, and [tex]\( (2)^2 = 4 \),[/tex]so she should add 4 to both sides:

 [tex]\[ 4(x + 2)^2 = 1 \][/tex]

After completing these steps, Maya can proceed to solve the equation by isolating x and taking the square root.

Answer:

$847.00

Step-by-step explanation:

First you multiply 52 by $7.75

This gives you $403

Then you subtract 52 from 100 to find the remainder of shirts

This gives you 48

So then you multiply 48 by $9.25

This gives you $444

Then you add $444 and $403 giving you $847.00

Answer:

The answer is B: 847

Step-by-step explanation:

52 x 7.75 = 403

100 - 52 = 48

48 x 9.25 = 444

444 + 403 = 847

Answer:

1) -3/4

2) 2/3

3) -4/5

4) -1/4

13) 2

14) 0

15) -2/3

16) -3

hope this helps

Answer: 7.04mph

Step-by-step explanation:

[tex]d=19.7mi\\t=2.8h\\v=?[/tex]

Formula:

[tex]d = v*t\\v=\frac{d}{t}\\v=\frac{19.7mi}{2.8h}\\ v=7.04mph[/tex]

Answer:

130

Step-by-step explanation:

e // f

2x + 18 = 4x - 14

2x = 32

x = 16

y = 180 - (4x - 14) = 180 - (64 - 14) = 130

Using the congruency of the top-right angles, it is found that the value of y is of 130.

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

[tex]4x - 14 = 2x + 18[/tex]

[tex]2x = 32[/tex]

[tex]x = \frac{32}{2}[/tex]

[tex]x = 16[/tex];

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

Thus:

[tex]y + 50 = 180[/tex]

[tex]y = 130[/tex]

The value of y is of 130.

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The area of the circular base is 707 square feet, calculated using the formula A = πr², where π is 3.14 and the radius is 15 feet.

The question asks for the area of a circular base of a statue with a given radius. This is a question of geometry, and the formula for the area of a circle is A = πr², where A represents the area and r represents the radius. In this case, the radius given is 15 feet.

To calculate the area, we insert the value of the radius into the formula, so it becomes A = π(15)². Since we are asked to use 3.14 for π, the calculation becomes: A = 3.14 * 15², which equals 706.5 square feet.

However, since we have been asked to round to the nearest whole number, the final answer would be 707 square feet.

To find the area of the circular base of the statue, we can use the formula A = πr^2, where A is the area and r is the radius. In this case, the radius is given as 15 feet. Plugging this value into the formula, we get:

A = 3.14 * 15^2 = 3.14 * 225 = 706.5 square feet

Rounding to the nearest whole number, the area of the base is approximately 707 square feet.

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Answer:

No

Step-by-step explanation:

there are 16 ounces in a pound. 4*16 is is 62.

Answer: a) parallelogram

Step-by-step explanation:

Top side and bottom side are same lengths/parallel

Angles in a quadrilateral add up to 360 degrees

105+75*2=360

Final answer:

The most specific name for the quadrilateral described is a (C) square because it has equal sides and all right angles, which is more specific than a rectangle, isosceles trapezoid, or a parallelogram.

Explanation:

The question asks to name the quadrilateral with the most specific name. The answer is (C) square. A square is a special type of rectangle with all sides of equal length, which is itself a type of parallelogram. A square is more specific than a rectangle, isosceles trapezoid, or a generic parallelogram because a square has all the properties of these shapes but also has equal sides and all right angles.

Answer:

Step-by-step explanation:

There are 9,999 positive whole numbers with 4 or less digits and 9,999 negative whole numbers with 4 digits or less and 1 whole number which is neither positive nor negative {0}. This gives us 9,999 + 9,999 + 1 or 19,999 whole numbers composed of 4 digits or less.

Answer:

19999

i think its 19999 because Zero does not have a positive or negative value. However, zero is considered a whole number, which in turn makes it an integer, but not necessarily a natural number. ... They have to be positive, whole numbers. Zero is not positive or negative.

hope this helps

Answer:

6%

Step-by-step explanation:

80%-14%=x%

every % = %

80%-14%=94%

100%-94%=6%

Answer:

6%

Step-by-step explanation:

80% + 14= 94.

94 is 6 digits away from 100, so the answer is 6%.

Answer:

1

Step-by-step explanation:

Given

f(x) = x² - 8x - 4

The leading term in the expression is x²

with a coefficient of 1 ← leading coefficient

The leading coefficient of a quadratic function of equation  fx=x2-8x-4 is 1.

The leading coefficient of a quadratic function is the coefficient of the x² term. In the quadratic function f(x) = x² - 8x - 4, the leading coefficient is 1 because the coefficient of x² is always assumed to be 1 when not explicitly shown.

Answer:

I think the answer is A

Step-by-step explanation:

Most Epics are long poems about heroes.

Final answer:

To determine the room's width in a scale model, use the scale conversion ratio of 1 in = 6 ft. The width in the model is calculated to be 2 inches.

Explanation:

A room is 12 feet wide. A scale model of the room has a scale of 1 in = 6 ft,

To find the width of the room in the model, we use the scale conversion ratio: 1 inch on the model represents 6 feet in reality. Since the room is 12 feet wide, the width in the model would be 2 inches (12 feet ÷ 6 feet per inch = 2 inches).

Answer:Linear

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

180 = 90 + 90 (F)

you must have 3 angles

Answer:

One.

Step-by-step explanation:

A triangle can only have one right angle because all three angles of a triangle MUST add up to be 180 degrees. That means if there are two right angles then the answer would automatically be over 180.

Example:

    90+90+1=181

Therefore, a triangle can only have one right angle

The formula for slope is [tex]\frac{rise}{run} = \frac{y2-y1}{x2-x1}[/tex].

Subtract y1 from y2. (y1= -1, y2 = 3)

3 - -1 = 4

Now subtract x1 from x2. (x1 = 4, x2 = -4)

-4 -4 = -8

Divide the difference between the y coordinates by the difference between the x coordinates.

[tex]\frac{4}{-8}[/tex] or 4 ÷ -8 = -0.5

The slope between the two points is -0.5.

Hope this helps love :)

Answer:the way you put this answer is not readable sorry.

Step-by-step explanation:

The statement is false; the formula to determine "And" probabilities varies depending on whether events are independent or dependent.

The statement "And" probabilities can always be determined using the formula P(A and B) = P(A) - P(B) is false. The correct method to determine the probability of two events A and B occurring together, also known as the conjunction, depends on whether the events are independent or dependent. If A and B are independent, the formula is P(A and B) = P(A) × P(B). However, if A and B are dependent, you must use the formula P(A and B) = P(A) × P(B|A), where P(B|A) represents the conditional probability of B given that A has already occurred.

Answer:

x = -1 and x = 3

Step-by-step explanation:

x² – 2x – 3 = (x - 3) (x + 1) = 0

x = 3 or x = -1

Answer:

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?

x = –1 and x = 3

Step-by-step explanation:

Answer:

(4, –1.5)

Step-by-step explanation: