Find the length of the base of the following pyramid, given the height of the pyramid is 221 meters and the angle of elevation of the base of the pyramid is 62°. Round to the nearest whole number.

An image of a square pyramid is shown with a right triangle embedded inside it. The face is at an incline of 62 degrees. The height is labeled 211, and the corner of the right angle is marked with a letter P.

75 meters
189 meters
235 meters
416 meters

Answers

Answer 1

Answer:I believe it would be answer choice, 235 meters

Step-by-step explanation:

I’m not super good at explain but, the height and incline both go at the right slope when they interact. Have a good day, hope it helps.

Answer 2

The length of the pyramid's base would be:

C). 235 meters

Find the length of the base

Given that,

Height of the pyramid [tex]= 221[/tex]

Elevation/angle of the base [tex]= 62[/tex]°

Employing the trigonometric function,

Tan 62 [tex]= 221/[1/2 base][/tex]

Base [tex]= (2[/tex] × [tex]221)[/tex][tex]/Tan[/tex][tex]62[/tex]

[tex]= 2[/tex] × 221/[tex]1.88[/tex]

[tex]= 235.10[/tex]

Thus, option C is the correct answer.

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Related Questions


Find the area of the polygon.

Answers

Can you help me 12 cm wide

Answer:

152 cm

Step-by-step explanation:

let me know if you need an explanation!

CAN YOU HELP PLEASE!! YEAH U!! COME ON HELP ME!!

Answers

Answer:

It's 6/18

Step-by-step explanation:

Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in his
account by the end of the summer Leten be the number of lawns Stephen mows.
which inequality can be used to determine the number of lawns Stephen needs to mow?
A 100 + 20 < 400
B 100n + 20 S 400
C 100+ 20n > 400
D. 100 + 200 2400

Answers

Answer:

c

Step-by-step explanation:

I NEED HELP RiGHT AWAY
8−4(−x+5)

Answers

Answer:

4x-12

Step-by-step explanation:

There is a line that includes point (1,2) and has a slope of 10 what is equation in intercept form

Answers

Answer:

[tex]y=10x-8[/tex]

Step-by-step explanation:

Given: Point (1,2) lies on the line such that it's slope is 10.

To find: equation of line

Solution:

Let m be the slope of line and b be the y - intercept.

Here, slope is a number that describes the direction and the steepness of the line.

y-intercept is the y-coordinate of the point where the graph of the line intersects the y-axis.

Equation of line is [tex]y=mx+b[/tex]

Put [tex](x,y)=(1,2),m=10[/tex]

[tex]2=10(1)+b\\2=10+b\\b=2-10=-8[/tex]

So, equation of line is [tex]y=10x-8[/tex]

Ariana has $1000 to put in a savings account. She is choosing between two
banks. Bank A offers 4% compounded quarterly and Bank B offers 4.1%
compounded semiannually. If Ariana plans on keeping her money in a savings
account for a year, which bank would pay her more in interest, and by how
much?

Answers

Answer:

Bank B by 82 cents.

Step-by-step explanation:

Got it correct on the quiz.

Bank B would pay more interest than Bank A by $0.82

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Given that, Ariana wants to deposit $1000, she needs to choose between two offers Bank A offers 4% compounded quarterly and Bank B offers 4.1% compounded semiannually.

We need to determine which Bank will offer her more,

The compound interest formula is equal to =

[tex]A = P(1+r/n)^{nt}[/tex]

where,

A is the Final Investment Value  

P is the principal amount of money to be invested  

r is the rate of interest in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have

Bank A =

t = 1

P = 1000

r = 0.04

n = 4

[tex]A = 1000(1+0.04/4)^{4}[/tex]

A = $1040.6

Bank B =

t = 1

P = 1000

r = 0.04

n = 2

[tex]A = 1000(1+0.041/2)^{2}[/tex]

A = $1041.42

Hence, the Bank B would pay more interest than Bank A by $0.82

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a pitcher contains 17.5 cups of iced tea. you drink 0.75 cup of tea each morning and 1.75 cups of tea each evening. when will you run out of iced tea?

Answers

Answer:

7 days

Step-by-step explanation:

Based on the amount of iced tea in the pitcher and the amount drank per day, you will run out of iced tea in 7 days.

The total number of cups drank per day is:

= 0.75 + 1.75

= 2.5 cups

With 2.5 cups being drank per day, the pitcher would last:

= Pitcher quantity / Cups per day

= 17.5/2.5

= 7 days

In conclusion, you will run out after 7 days.

Find out more at https://brainly.com/question/13426420.

pls help will mark as brainliest

Answers

Answer:

C

Step-by-step explanation:

Answer:

D cannot be used. first 3 are correct

Step-by-step explanation:

what is the surface of the square pyramid ?

A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)

Answers

Answer:

D. 20,250 square yards

Step-by-step explanation:

Base + 4 triangles

(75×75) + 4(½×75×97.5)

5626 + 14625

20250 yd²

Sara ​says, "If you subtract 15 from my number and multiply the difference by negative 4​, the result is negative 48​." What is Sara's number?

Answers

Answer:

I'm not 100% sure but I believe the answer is 27

because -48/-4=12

12+15=27

Answer:

Write the equation and go backwards.

N - 15 x -4 = -48

Instead of multiply divide and add instead of subtract

-48/-4=12

12+15=27

check if 27 is correct. 27-15=12 x -4 = -48

27 is your number. Hope this helps

Step-by-step explanation:

you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?

Answers

Answer:

tan 30 = height of building / 40

height = 40 × 1/√3=40/√3

or = 23.1 feet

Morgan works at a store that sells clothing accessories. The supply function
for baseball caps is p= Q-4, where Pis the price and Q is the quantity of
baseball caps. If Morgan sells the baseball caps for $18 apiece, how many
baseball caps will the store supply?
A. 18 baseball caps
B. 22 baseball caps
C. 26 baseball caps
D. 4 baseball caps

Answers

Answer:

The number of supply of base balls is 22

Step-by-step explanation:

Given

P = Q - 4

Price = $18

Required

Number of supply

The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.

To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;

Thus, giving:

18 = Q - 4

Make Q the subject of formula

Q = 18 + 4

Q = 22 quantities

Hence,  the number of supply of base balls is 22

Answer:

B. 22 baseball cap

Step-by-step explanation:

P=Q-4

Make Q the subject of the formula

P+4=Q

Therefore,

Q=p+4

If Morgan sells the baseball cap for $18

Q=18+4

Q=22

Morgan store will supply 22 baseball caps

Explain how to use a graph of the function f(x) to
find f(3).

Answers

look at the graph at which x=3, then look and see what value y is and that will give you f(3).

Answer:

For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

up there

Help me, I need a step by step solution ASAP

Answers

Answer:

a)

[tex]x=-1\\x=-\frac{3}{4}[/tex]

b)

[tex]x=\frac{11}{6}[/tex]

Step-by-step explanation:

[tex]Formula: x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]

[tex]a)-4x^2+7x-3=0[/tex]

a= -4

b= 7

c= -3

[tex]x=\frac{-(7)\frac{+}{}\sqrt{(7)^2-4(-4)(-3)} }{2(-4)}[/tex]

[tex]x=\frac{-7\frac{+}{}\sqrt{49-48} }{-8}[/tex]

[tex]x=\frac{-7\frac{+}{}\sqrt{1} }{-8}[/tex]

[tex]x=\frac{7\frac{+}{}1 }{-8}[/tex]

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

[tex]x=\frac{7+1 }{-8}=\frac{8}{-8}=-1[/tex]

or

[tex]x=\frac{7-1 }{-8}=\frac{6}{-8}=-\frac{3}{4}[/tex]

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

[tex]b)36x^2-132x+121=0[/tex]

a= 36

b= -132

c= 121

[tex]x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-132)\frac{+}{}\sqrt{(-132)^2-4(36)(121)} }{2(36)}[/tex]

[tex]x=\frac{132\frac{+}{}\sqrt{17424-17424} }{72}[/tex]

[tex]x=\frac{132\frac{+}{}\sqrt{0} }{72}[/tex]

[tex]x=\frac{132\frac{+}{}0 }{72}[/tex]

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

[tex]x=\frac{132}{72}[/tex]

[tex]x=\frac{132/6}{72/6}=\frac{22}{12}=\frac{11}{6}[/tex]

Which scatter plot shows that the number of gallons of milk sold decreased as the price per gallon increased?

Answers

Answer:

The answer is D

Step-by-step explanation:

Is this angle acute right obtuse or straight

Answers

Answer:

obtuse

Step-by-step explanation:

Over 90 degrees

Answer:

Obtuse

Step-by-step explanation:

The angle is obtuse because the angle is more than 90 degrees.

A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?

Answers

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

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can somebody help me with these four questions 1.Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem? 2. Write the inequality and show all work to solve the inequality?
3. Graph the solution to your inequality on a number line?
4. Explain what your solution means in the context of the problem

Answers

Answer:

oof

Step-by-step explanation:

pls answer soon it's a study guide ​

Answers

Answer:

Step-by-step explanation:

Math question down below

Answers

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

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

(n) 604 - 79 = 525

D.) is your answer :)

If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.

Answers

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. How does the theoretical probability compare with the experimental probability of landing on an even number? Use the drop-down menus to explain your answer. The_______ probability is greater than the_____ probability of landing on an even number. The_______ probability is 72/120 and the_______ probability is 80/120.

Answers

Answer:

The theoretical probability is greater than the experimental probability of landing on an even number. The experimental  probability is 72/120 and the theoretical probability is 80/120.

Step-by-step explanation:

Experimental probability of landing on an even number: (30+25+17)/120 = 72/120 = 0.6

Even outcomes: 4

Total outcomes: 6

Theoretical probability of landing on an even number: 4/6 = 0.67

After 120 spinners it is expected 4/6*120 = 80 even results

DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?

130,000
131,404
128,000
399,876

Answers

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

Is this an expression or an equation ?

Answers

Answer: expression

Step-by-step explanation: An equation is a mathematical sentence that contains an equal sign. Since this problem contains no equal sign at all, it can't be an equation so it's considered an expression.

Which is the largest amount of liquid? A. one quart
B. one cup
c. one milliliter
D. one liter
E. one pint

Answers

Answer:

one pint

Step-by-step explanation:

This is because one pint is larger than one cup, there are two cups in a pint.

One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.

Answer:

pint

Step-by-step explanation:

1 Pint is equal to 0.47317647299 liter.

Liter and Pint are the largest on there, and pint is bigger.

Hope this helps! :)

Find the value of x.

Answers

Answer:

x=51

Step-by-step explanation:

Formula:  35+16=x

Step 1: Simplify both sides of the equation.

35+16=x

(35+16)=x(Combine Like Terms)

51=x

51=x

Step 2: Flip the equation.

x=51

Hope this helps.

PLEASE HELP ME YALL



What is the hourly difference in median income for a male versus female with an advanced degree?



$__ /hr

Answers

Answer:

around 3$

Step-by-step explanation:

According to US bureau of census, the average hourly income difference between male and female working fro an employer for less than 10 years is around $3.

Answer:

$11.28

Step-by-step explanation:

Assuming your referring to the chart

median usual weekly earnings of full-time wage and salary workers by educational attainment and ... 2018 annual averages

I don't know how they got that answer I just know I got it wrong

is it true that energy never moves

Answers

Answer:

False

Step-by-step explanation:

Energy is transferred from one object to another when a reaction takes place. Energy comes in many forms and can be transferred from one object to another as heat, light, or motion, to name a few.

Which number is divisible by 9?

121
137
127
144

Answers

Answer:

144

Step-by-step explanation:

144/9=16

Answer:

The answer is 144

Explanation:

144÷9=16

How do you know when expression are equivalent

Answers

Answer:

If two things are equivalent, they are the same. Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify.

Step-by-step explanation:

Answer: Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(

Step-by-step explanation:

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