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

simplify the expression
7y − (6)2y − 12

Answers

Answer:

-5y-12

Step-by-step explanation:

Multiply 6 into 2y

7y-12y-12

-5y-12

He’s right the guy on top

Find the area

76 sq meters
60 sq meters
30.5 sq meters
65 sq meters

Answers

Step-by-step explanation:

2*10+((4+10)x8)/2

=20+14*8/2

=76 sq meters

factorise fully 16c^4p^2+20cp^3​

Answers

Answer:

Step-by-step explanation:

16c^4p^2 + 20cp^3

take common

=4cp^2(4c^3 + 5p)

Given the expression below:

[tex] \large \boxed{16 {c}^{4} {p}^{2} + 20c {p}^{3} }[/tex]

We can factor out c-term, p² and 4 (from 16 and 20)

[tex] \large{4c {p}^{2} (4 {c}^{3} + 5p)}[/tex]

Answer

4cp²(4c³+5p)

7. The fastest ever Formula 1 qualifying lap at Silverstone is 1 minute, 29.6 seconds.
The fastest ever racing lap is 1 minute, 30.9 seconds.
How many tenths of a second quicker is the qualifying lap?​

Answers

Answer:

1.3 seconds ; 13 tenth of a second

Step-by-step explanation:

Fastest ever qualifying lap = 1 minute 29.6 seconds

Fastest ever racing lap = 1 minute 30.9 seconds

The difference :

1 minute 30.9 seconds - 1 minute 29.6

30.9 seconds - 29.6 seconds = 1.3 seconds

1.3 seconds = 1.3/0. 1 = 13 tenth of a second

Given: g(x) = x - 4 and h(x) = 2x - 8. What is g(h(1011?​

Answers

Answer:

[tex]g(h(1011)) = 2010[/tex]

Step-by-step explanation:

Given

[tex]g(x) = x - 4[/tex]

[tex]h(x) =2x - 8[/tex]

Required

[tex]g(h(1011)[/tex]

First, we calculate [tex]g(h(x))[/tex]

[tex]g(x) = x - 4[/tex]

Substitute h(x) for x

[tex]g(h(x)) = h(x) -4[/tex]

Substitute [tex]h(x) =2x - 8[/tex]

[tex]g(h(x)) = 2x - 8 -4[/tex]

[tex]g(h(x)) = 2x -12[/tex]

Substitute 1011 for x

[tex]g(h(1011)) = 2*1011 -12[/tex]

[tex]g(h(1011)) = 2022 -12[/tex]

[tex]g(h(1011)) = 2010[/tex]

Answer:

6

Step-by-step explanation:

just did it on egde 2021

[12÷(9-6)]+4×6
please help ​

Answers

The answer is 28 ez.

Answer:

the answer is 28

Step-by-step explanation:

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)

Answers

Answer:

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

Step-by-step explanation:

Equation for an concentration increasing exponentially:

The concentration after t years, considering that it increases exponentially, is given by the following equation:

[tex]C(t) = C(0)(1 + r)^t[/tex]

In which C(0) is the initial concentration and r is the growth rate, as a decimal.

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.

This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus

[tex]C(t) = C(0)(1 + r)^t[/tex]

[tex]C(t) = 85(1 + 0.046)^t[/tex]

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

How do you find the square root of 11? I need to show work

Answers

Answer:3.31662479036.

Step-by-step explanation:To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036. Register at BYJU'S to learn other interesting mathematical concepts.

A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.



-

The average recovery time for all heart attack patients that the cardiologist has or will treat


-

All heart attack patients that the cardiologist has cared for or will care for in the future


-

The average recovery time for the 32 heart attack patients


-

The 32 heart attack patients who were observed by the cardiologist


-

The list of all 32 heart attack patients' recovery times


-

The recovery time for a heart attack patient

Answers

Answer: See explanation

Step-by-step explanation:

1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter

2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.

3. The average recovery time for the 32 heart attack patients = Statistics

4. The 32 heart attack patients who were observed by the cardiologist = Sample

5. The list of all 32 heart attack patients' recovery times = Data

6. The recovery time for a heart attack patient. = Variable

The measure of _A is 18° greater than the measure of _B. The two angles are complementary. Find the
measure of each angle.
The m_A is
1° m
and m_B is

Answers

Answer:

angle A=54 degree

angle B =36 degree

Step-by-step explanation:

let angle B be x

angle A=x+18

since they are complementary angles sum of these two angles will be 90 degree

x+x+18=90

2x=90-18

2x=72

x=72/2

x=36 degree

substitute the value of x to find angle A and angle B

for angle A

x+18

36+18

54 degree

for angle B

angle B =x

=36 degree

Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO​

Answers

Answer:

Yes , and u can learn a lot just by answering an asking questions

Deshaun has scored 86, 83, 93, and 79 on her previous four tests. What score does he need on his next test so that his average (mean) is 86?​

Answers

Answer:

89

Step-by-step explanation:

341 ( total of previous 4 tests)   + 89= 430  

Divide 430 by 5 ( number of tests)

What is the equivalent recursive definition for an = 12+ (n - 1)3?
A. a1 = 3, An = An-1 + 12
B. a1 = 12, An = 30n-1
C. a1 = 12, Un = On-1 +3
D. a1 = n, an= 1201-1+3

Answers

Answer:

[tex]A_1 = 12[/tex]

[tex]A_n = A_{n-1} + 3[/tex]

Step-by-step explanation:

Given

[tex]A_n =12+(n-1)3[/tex]

Required

Write as recursive

We have:

[tex]A_n =12+(n-1)3[/tex]

Open bracket

[tex]A_n =12+3n-3[/tex]

[tex]A_n =12-3+3n[/tex]

[tex]A_n =9+3n[/tex]

Calculate few terms

[tex]A_1 =9+3*1 = 9 + 3 = 12[/tex]

[tex]A_2 =9+3*2 = 9 + 6 = 15[/tex]

[tex]A_3 =9+3*3 = 9 + 9 = 18[/tex]

The above shows that the rule is to add 3.

So, we have:

[tex]A_1 = 12[/tex]

[tex]A_n = A_{n-1} + 3[/tex]

1. What is the discriminant of the equation 5x2 - 20x + 20 = 0?

Answers

Answer:

0

Step-by-step explanation:

D = 20²-4(5)(20) = 400-400 = 0

10)
X + 80
70°
A) 5
C) -10
B) 8
D) 7

Answers

Answer:

C: x=-10

Step-by-step explanation:

Alternate interior angles are congruent to each other meaning that x+80=70 making x equal to -10. I hope this helped and this is one of my favorite units so post more these questions :)

What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25

Answers

Answer:

the answer is a.12

i think

Answer:

17.25

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEEEE

Answers

Answer:

y = 3/2x + 15

Step-by-step explanation:

change f(x) to 'y='

interchange 'x' and 'y' then solve for 'y':

y = 2/3x - 10

x = 2/3y - 10

x+10 = 2/3y

multiply each side by 3/2 to get:

y = 3/2x + 15

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 10% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.)
510

Incorrect: Your answer is incorrect.
persons
How fast (in persons/yr) is the population growing at
t = 20?
(Round your answer to two decimal places.)
persons/yr

Answers

Answer:

The right answer is "605 persons".

Step-by-step explanation:

Given that,

⇒ [tex]\frac{dP}{dt} \alpha P[/tex]

or,

⇒ [tex]\frac{dP}{dt} =RP[/tex]

⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]

⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]

⇒                  [tex]log[\frac{PT}{500} ]=Rt[/tex]

At t = 10 years,

⇒ [tex]PT=\frac{110}{100}\times 500[/tex]

          [tex]=550[/tex]

∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]

            [tex]R=\frac{log(1.1)}{10}[/tex]

At t = 20,

⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]

        [tex]PT=500\times (1.1)^2[/tex]

              [tex]=605 \ persons[/tex]

- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college

Answers

Answer:

-10

Step-by-step explanation:

See image below:)

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-4/5x = 8

Step 2: Solve for x

[Division Property of Equality] Divide -4/5 on both sides:                             x = 8 / -4/5Divide:                                                                                                               x = -10

Multiply each term number below by 5 to form a sequence​

Answers

Answer:

Multiply the numbers by 5

Step-by-step explanation:

Mark me brainlist?

verify that A(3, 1), B(0, 5), and C(-1, -1) are the vertices of a right triangle.

Answers

No, not a right triangle

what is 3/5 minus 5/11

Answers

Answer:

0.14545454545 Maybe

Step-by-step explanation:

Answer:

8/55

Step-by-step explanation:

The first thing you need to do is find a common denomintor.

The first denominator is 5, the other is 11.

If you multiply these together, you will get 55. This can not be reduced and still be divisable by 5 and 11, so this is your new denominator.

So for the 3/5 multiply both top and bottom by 11, since thats how many times bigger the denominatir needs to be:

3*11/5*11= 33/55

Then for 5/11 multiply both top and bottom by 5, since thats how many times bigger the denomator is to make 55:

5*5/11*5=25/55

Now we have:

33/55-25/55

When subtracting fractions, you are only subtracting the two numerators, and the denominators are unaffected:

33-25/55=8/55

So 8/55 is your answer.

Hope this helps!

Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right​

Answers

Answer:

scalene

hope this helps

have a good day :)

Step-by-step explanation:

Now that we know that 2π is about 6.28, π2 is about 9.86, and 58−−√ is between 7 and 8, which choice represents the correct order of these expressions from least to greatest: 58−−√, 2π, π2, 8?

Answers

Answer:

use miss r sir hope I helped you

A six-character license plate can be any three letters of the alphabet, followed by any three numerical digits. How many different license plates are possible?

Answers

Answer:

17,576,000 different license plates are possible.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

For each letter, there are 26 possible outcomes.

For each digit, 10 possible outcomes.

So

L - L - L - D - D - D

Number of possible outcomes:

26 - 26 - 26 - 10 - 10 - 10

Each character of the license plate is independent, so, by the fundamental counting principle:

26*26*26*10*10*10 = 17,576,000

17,576,000 different license plates are possible.


Find the surface area of the regular pyramid

Answers

Answer:

surface are of the pyramid =(1/2×6×5.2)+(3×1/2×6×10) =15.6+90 =105.6 yd²

What is length of DF?

Answers

Answer:

DF = 11

Step-by-step explanation:

From the question given above, the following data were obtained:

EH = 8

HG = 3

EF = DG

DF =?

Since, EF = DG, it also means that EG = DF.

Next we shall determine EG. This can be obtained as follow:

EG = EH + HG

EH = 8

HG = 3

EG = 8 + 3

EG = 11

Finally, we shall determine EF. This is illustrated below:

EG = DF

EG = 11

DF =?

11 = DF

Therefore,

DF = 11

Which graph shows a polynomial function of an even degree?​

Answers

This is the answer. It is D.

PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!

FIND THE VALUE OF X

Answers

Answer:16 degree is the answer.

Since r and m are parallel:

10x-3=7x+45

3x=48

x=16

Will mark Brainlest help plsssss​

Answers

Answer:

45 is answer I guess cuz my teacher taught me just like that

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