Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer

Part A (1 Point)Determine The Area, In Square Feet, Of One Triangularface Of The Square Pyramid. Show

Answers

Answer 1

Answer:

A. 320 ft²

B. 2,304 ft²

Step-by-step explanation:

A. Area of one triangular face = area of triangle = ½*b*h

Where,

b = 32 ft

h = 20 ft

A = ½*32*20 = 16*20

A = 320 ft²

Area of 1 triangular face = 320 ft²

B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid

T.S.A = 4(320) + (s²)

Where,

s = 32 ft

T.S.A = 4(320) + (32²)

T.S.A = 1,280 + 1,024

= 2,304 ft²


Related Questions

Place value of 4 in 265 473

Answers

Answer:

The place value of 4 in 265 473 is 40,000

Answer:

Step-by-step explanation:

Order:

3 is in the ones place and has a value of 3

7 is in the tens place and has a value of 70

4 is in the hundreds place and has a value of 400

5 is in the thousands place and has a value of 5000

6 is in the ten thousands place and has a value of 60,000

2 is in the hundred thousands place and has a value of 200,000

How would I write a number subtracted from 2 times a number is 19 as an equation?

Answers

Answer:

\(let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 \)

This is the answer

if wrong please correct me ! :)

Pls help what do I write in box pls.

Pls help what do I write in box pls.

Answers

The simplified expression can be written as:

\((-\sqrt{6} )*(-2*\sqrt{-42} ) = \sqrt{-1,008}\)

How to completely simplify the given expression?

Here you need to remember the property:

\(\sqrt{x} *\sqrt{y} = \sqrt{x*y}\)

Now we have the expression:

\((-\sqrt{6} )*(-2*\sqrt{-42} )\)

First, we can cancel the two first negative signs to get:

\((\sqrt{6} )*(2*\sqrt{-42} )\)

Now we can write the 2 as the square root of 4.

\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} )\)

Finally, we can use the above property to get:

\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} ) = \sqrt{6*4*(-42)} = \sqrt{-1,008}\)

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Two parallel lines are crossed by a transversal.
What is the value of d?

Answers

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

What is a Transversal?

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Two parallel lines are crossed by a transversal.What is the value of d?

HELP PLEASE
If two identical mass planets were suddenly moved from 1 million miles apart to 2 million miles apart, the gravitational force between them would be 1/4 as much as its original value.
True OR
False

Answers

The gravitational force between two planets of equal mass that were abruptly moved from a distance of 1 million miles to a distance of 2 million miles would be only one-fourth as strong as it had been before.

True. The gravitational force between two masses is inversely proportional to the square of their separation, as stated by Newton's law of universal gravitation.

The gravitational attraction between two planets of the same mass would drop by a factor of 1/22 or 1/4 if the distance between them increased from 1 million miles to 2 million miles.

As a result, the gravitational force would be reduced to 1/4 of what it was before.

Therefore, the gravitational attraction between two planets of the same mass would drop by a factor of 1/4 (or 1/22) if their separation doubled (from 1 million miles to 2 million miles).

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translate this phrase into an algebraic expression.

The sum of 15 and twice Jose’s score

use the variable j to represent Jose’s score

Answers

Answer:

15 + 2j

Step-by-step explanation:

Sum, which means addition, is used to say that 15 will be added to something.

That "something" is twice Jose's score, which is 2 * j, since j is the score.

15 + 2 * j, or just 15 + 2j

HELPP!!!
The area of the figure is ____ square units.

HELPP!!!The area of the figure is ____ square units.

Answers

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Find the inverse of the function.

Find the inverse of the function.

Answers

Answer:

A) \(f^{-1}(n)= (n+2)^3\)

Step-by-step explanation:

\(f(n) = \sqrt[3]{n} -2\)

\(y = \sqrt[3]{n} -2\)

\(y = n^{1/3}-2\)

\(n = y^{1/3} -2\)

\(n + 2 = y^{1/3}\)

\(y = (n + 2) ^3\)

\(f^{-1}(n) = (n + 2)^3\)

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

hi! how do you do this?

hi! how do you do this?

Answers

Answer:

  a +7d = 11

Step-by-step explanation:

The sum of an arithmetic series is given by the formula ...

  Sn = (n/2)(2·a1 +d(n -1))

where n is the number of terms, a1 is the first term, and d is the common difference.

__

Here, you are given n=15, S = 165, a1=a, and asked to find a relation for 'a' and 'd'. Substituting the known values, we have ...

  165 = (15/2)(2a +d(14))

  11 = a +7d . . . . . . . . simplify and divide by 15

We have found the relation to be ...

  a +7d = 11 . . . . . as required

Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.

Answers

The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.

(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.

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HELP ME PLEASE I CAN'T FAIL THIS!!!

To find the distance AB across a river, a distance BC of 319 m is laid off on one side of the river. It is found that B = 104.6° and C = 14.4°. Find AB.

Answers

Answer:

90.70464953m

Step-by-step explanation:

Look at the image

HELP ME PLEASE I CAN'T FAIL THIS!!!To find the distance AB across a river, a distance BC of 319 m is

The length of a rectangle is 25 cm.
What width will make the perimeter of the rectangle greater than 90 cm?
A. width <20 cm
B. width> 20 cm
OC. width ≥ 20 cm
OD. width 20 cm
E. width = 20 cm

Answers

Answer:

The correct answer is B, also may be Brain??

Step-by-step explanation:

The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.

Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.

So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.

Answer:

i'm guessing this but not 100% sure

Step-by-step explanation:

Let w = the width

P = 2l + 2w

2w + 2(25) > 90

2w + 50 > 90

2w > 40

w > 20 cm

Rubina Shaw, family plan.
HMO annual premium is $11,473.
Employer pays 73 percent.

Answers

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

What is an algebraic expression?

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

Input the values into the formula below
to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)

Input the values into the formula belowto find the 8th term in the sequence.1-1, 4, -16,...4)Ist term

Answers

Answer:

The 8th term = -4,096

Step-by-step explanation:

Given:

¼, -1, 4, -16, . . .

Required:

8th term of the sequence

Solution:

1st term = ¼

Common ratio = -1/¼ = 4/-1 = -16/4 = -4

Desired term = 8

Plug in the values into the formula given:

\( \frac{1}{4} * -4^{(8 - 1)} \)

\( \frac{1}{4} * -4^{7} \)

\( \frac{1}{4} * -16,384 \)

\( \frac{-16,384}{4} \)

= -4,096

Hiii this due today can you draw a digram for 5 times 20 please THIS IS DUE TODAY THANK You​

Answers

Answer:

draw the diagram and multiply 5x20

it take nadia 4/9 h to complete her language arts homework and 2/9 h to complete her mathematic homework.Which takes longer? How much longer?

Answers

Mathematic homework takes longer. It takes 2/3 h longer than language arts homework. Mathematic homework takes longer to complete than language arts homework. We can compare these two fractions by converting them to the same denominator.

Language arts homework: 4/9 h

Mathematic homework: 2/9 h

We can compare these two fractions by converting them to the same denominator.

Language arts homework: 4/9 h = 8/18 h

Mathematic homework: 2/9 h = 4/18 h

Mathematic homework takes 2/3 h longer than language arts homework.

Mathematic homework takes longer than language arts homework, by 2/3 h.

Mathematic homework takes longer to complete than language arts homework. We can compare these two fractions by converting them to the same denominator. Language arts homework takes 4/9 h, or 8/18 h, while mathematic homework takes 2/9 h, or 4/18 h. Mathematic homework takes 2/3 h longer than language arts homework. This means that mathematic homework takes more time to complete than language arts homework, by 2/3 h.

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choose number between 55 and 101 that is multiple of 2 , 3,9

Answers

The answer is It’s 72 as it is a multiple of 2, 3, and 9

2x+y+2z=2
2x-7y-8z=-2
-2x+4y+3z=8

Answers

Answer:

0

Step-by-step explanation:

forgotten sorry

Given that the line y=ax+b passes through the points A(0; 3) and B(-2;7), how do I find the values of a and b?

Answers

First you have find the slope (a) in order to find the value of the y intercept (b).

To compute the slope, you simply have to find the difference of y coordinates and divide them by the difference of x coordinates:

a = (y2-y1)/(x2-x1)
a = (7-3)/(-2–0)
a = 4/-2
a = -2

To compute the y intercept denoted by b, we substitute the value of a with -2 in the formula and choose any point (x,y) and substitute their values in the formula as well. Like so:

I choose point A:

3 = (-2)(0) + b
3 = b

a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.

Answers

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Name a point that is not coplanar with R, S, and T.

Name a point that is not coplanar with R, S, and T.

Answers

The required point is W.

What is the co-plaer and non co-planer?

Co-planar refers to a set of objects that lie in the same plane or lie on the same flat surface. They have the same elevation and do not intersect each other.

Non-coplanar refers to a set of objects that are not in the same plane or do not lie on the same flat surface. They have different elevations and may intersect each other.

W is a point that is not co-planar with R, S, and T.

Consider the provided plane.

We need to find the point that is not co-planar with R, S, and T.

Co-planar: Two object or points are said to be co-planer if they lie in the same plane.

Non co-planar: Two object or points are said to be non co-planer if they don't lie in same plane.

Now consider the provided plane, the point W is not lie in the plane V.

While point R, S and T lie in the plane V.

Hence, the required point is W.

W is a point that is not co-planar with R, S, and T.

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what is the x-intercept of th line 6x-3y=24

Answers

Answer:

4

Step-by-step explanation:

The \(x\) intercept is where \(y=0\).

\(6x-3(0)=24 \\ \\ 6x=24 \\ \\ x=4\)

Help pls I hacer 5 mins

Help pls I hacer 5 mins

Answers

Answer:

12.7 is the answer

Answer: 12.7

Step-by-step explanation:

If you like to round 12.654 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post

Manny drives 2 times the hours that Tabria does. Manny and Tabria drive for a total of 9 hours. How
long did each person drive?

Answers

Answer:

4.5

Step-by-step explanation:

4.5 times 2 = 9

9 divided by 2 =4.5

Identify the property that justifies the statement: *

If 3x - 14 = 12, then 3x = 26

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

In mathematics that are various types of properties that can be used to solve for questions

In the above question:

If 3x - 14 = 12

then 3x = 26

The property that is applied here is the Subtraction property of equality.

The subtraction property of equality states that when we subtract from one side of and algebraic expression, we must subtract from the other side

a = b

a - c = b - c

a = 3x

b = 26

c = 14

3x = 26

3x - 14 = 26 - 14

then 3x - 14 = 12

Here is a prism made with 27 cubes that Renata covered with stickers.
You can pull her prism apart using the draggable point.
Fill in the table with the number of cubes in this prism that have 0, 1, 2, and 3 stickers.

Answers

The number of cubes in the prism with stickers 0 - 1, 1 - 6, 2 - 12, and 3 - 8.

What is a cube?

Cubic form is defined as the shape of a cube. Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped.

According to the prism, the cube at the center has no stickers.

Stickers on 0 side = 1

The face of the prism contains cube that would have stickers on one side. The center cubes on each face will have stickers on one side:

Stickers on 1 side = 6

The edges of the prism will have cubes at the center that contain stickers on both sides:

Stickers on 2 side = 4 (3) = 12

Every vertices on the prism will have sticker on three sides.

Sticker on three side = 8

Hence, the number of cubes in the prism with stickers 0 - 1, 1 - 6, 2 - 12, and 3 - 8.

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The correct question is:

Here is a prism made with 27 cubes that Renata covered with stickers.You can pull her prism apart using

Two friends shop for fresh fruit. Elena buys a watermelon for ​$6.75 and 5 pounds of cherries. Taniy buys a pineapple for ​$3.55 and 4 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.

Answers

Answer:

The expression that represents how much more Elena spent is $3.2 + p

Step-by-step explanation:

Calculate the slope of the line that contains the points: (2, -3) and (6, -3)

Answers

Answer:

\(\displaystyle m = 0\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Point (6, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              \(\displaystyle m = \frac{-3- -3}{6- 2}\)[Fraction] Subtract:                                                                                           \(\displaystyle m = \frac{0}{4}\)[Fraction] Divide:                                                                                              \(\displaystyle m = 0\)


Here is an encoded message, a message that has been converted into a code.
WRGDB LYD JRRG GDB.
Can you figure out what it says in English? How was the original message encoded?

Answers

Im not sure but thank you for the points

Express 9 2/3 out of 100 as a percent .

Answers

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

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