A pyramid-shaped building is 340 ft tall and has a square base with sides of 567 ft. The sides of the building are made from reflective glass. What is the surface area of the reflective glass?
Answers
now, notice, the reflective glass part of the building, is just the triangular faces, it has four of those.
now, notice that each triangular face has a base of 567 and a height or altitude of 442.69.
so the surface area with the reflective glass will be, the area of those four triangles, get the area of each and add them up.
Related Questions
Is 25/99 a terminating or repeating decimal
Answers
Do you see that 25 repeats?
Repeating decimal for sure.
You are planning a party and want to know how many cans of soda to buy. a genie offers to tell you either the mean number of cans guests will drink
Answers
The graph of y = –3x + 4 is:
A. a point that shows the y-intercept.
B. a line that shows the set of all solutions to the equation.
C. a point that shows one solution to the equation.
D. a line that shows only one solution to the equation.
Answers
Answer: The answer is B, just got this one on a test.
Step-by-step explanation:
10 11/12 + 7 1/4 =
A. 3 8/12
B. 3 2/3
C. 17 1/4
D. 18 1/6
Answers
= 10 11/12 + 7 1/4
= 10 11/12 + 7 3/12
= 17 14/12
= 18 2/12
= 18 1/6
answer
D. 18 1/6
x+2y=8 in slope intercept form
Answers
x+2y=8 Subtract the x.
2y=8-x Divide by two.
y=4-1/2x
[tex]x+2y=8[/tex] can be written in a slope-intercept form as [tex]y = 4-\dfrac{x}{2}[/tex].
SlopeA slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
Given to us,[tex]x+2y=8[/tex]
To find the slope-intercept formTo find the function, simply isolate y.
[tex]x+2y=8\\2y = 8-x\\y = \dfrac{8-x}{2}\\\\y = \dfrac{8}{2}-\dfrac{x}{2}\\\\y = 4-\dfrac{x}{2}[/tex]
Hence, [tex]x+2y=8[/tex] can be written in a slope-intercept form as [tex]y = 4-\dfrac{x}{2}[/tex].
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a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square
Answers
[tex]\bf A=s^2\qquad s=2\frac{3}{2}\qquad A=\left( 2\frac{3}{2} \right)^2\implies A=\left( \frac{2\cdot 2+3}{2} \right)^2 \\\\\\ A=\left( \frac{7}{2} \right)^2\implies A=\cfrac{7^2}{2^2}\implies A=\cfrac{49}{4}\implies A=12\frac{1}{4}[/tex]
which pair of fractions is equivalent to this pair : 3/5 and 2/7
a. 21/35 & 10/35
b. 10/35 & 7/35
c. 7/35. & 5/35
d. 24/35 & 12/35
Answers
Hope this helps!
3/5(7/7) = 21/35
2/7(5/5) = 10/35
A.21/35 and 10/35
Hope this helps!
Convert 604,800 seconds to weeks using Dimensional analysis
Answers
Greg drank 5 cups of water on Monday. He drank 4 cups of water on Tuesday. How many 1/4 cup servings of water did Greg drink on Monday and Tuesday combined?
Answers
You purchase three packs of batteries at $11.99/pack. You have a coupon for 10% off and the sale tax is 7% how much is the total cost of your purchase?
Answers
The answer is 34.64. C.
The entire purchase of the three items cost about $34.
How to determine the total cost?The given parameters are:
The cost of one packs of batteries is $11.99/pack.
Coupon = 10% off
The total cost is then calculated using:
Total = (three packs of batteries) * (1 - Coupon)
So, we have:
Total = (11.99 + 11.99 + 11.99 ) * (1 - 10%)
Evaluate,
Total = 34.47
Approximate
Total = 34
Hence, the entire purchase of the three items cost about $34.
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30 + (.0825 x 30) + (15% x 30) =
Answers
30+2.475 +(0.15 times 30)
32.475+ 4.5=36.975
Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose the entire history of Earth is represented with a 1000-meter-long timeline, with the birth of Earth on one end and today at the other end.
2 billion years is represented by how many meters of the timeline?
Answers
Hope that helps
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation
Answers
Each side of a square is increasing at a rate of 5 cm/s. at what rate is the area of the square increasing when the area of the square is 49 cm2? 70 cm2/s
Answers
The first three values in a selected series are 3, 6, and 9. what are the next three va;ies that will be inserted by autofill?
Answers
Answer:
the answer is 12, 15. and 18.
Step-by-step explanation:
The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters , find the dimensions of the rectangle
Answers
P = 2(W + 4) + 2W = 86 cm. Then 2W + 8 + 2W = 86 cm, and 4W = 78 cm.
Finally solving for W, W = (78 cm)/4, or 19.5 cm.
If W = 19.5 cm, then L = W + 4 cm = 19.5 cm + 4 cm = 23.5 cm
The rectangle's dimensions are 19.5 cm by 23.5 cm.
Celine's Cereal Company is launching a new brand of cereal and she is considering two different sizes for the base of the boxes. Box 1: The length is 3 times the width. Box 2: The length is 1 less than 4 times the width. The dimensions of the base of Box 1 are: width: x; length: 3 width: x; length: x + 3 width: x; length: x – 3 width: x; length: 3x
Answers
Answer:
D. Width = x and Length = 3x
Step-by-step explanation:
We are given that,
The length of Box 1 is 3 times the width of Box 1. ..................(1)
Let the width of Box 1 = x
So, from (1), we have,
Length of Box 1 = 3 × Width of Box 1
i.e. Length of Box 1 = 3x
Thus, the dimensions of Box 1 are : Width = x and Length = 3x
Hence, option D is correct.
In this exercise we have to identify which of the alternatives best represents the equation, like this:
Letter D
So we have that it is the area of a box, where we have:
The length of box is 3 times widthThe width of the box is XSo is the same as:
[tex]L= 3W\\W=X\\L=3X[/tex]
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At full power, how long would it take for the car to accelerate from 0 to 64.0 mph ? neglect friction and air resistance. express your answer in seconds.
Answers
Two negative integers are five minutes apart on the number line, and their product is 126. What is the sum of the two integers?
Answers
Let the first (the smaller) negative integer be x and the second y. Note that y, being bigger than x, can be represented by y=x+5.
First find the 2 integers. Their product is 126, so x(x+5)=126.
Expanding, x^2 + 5x - 126 = 0. Using the quadratic formula to solve this,
-5 plus or minus sqrt(529) -5 plus or minus 23
x = --------------------------------------- = -----------------------------
2 2
-5 -23
We are interested only in negative integers, so take x = ------------
2
Then x = -28/2, or x = -14. Then y is x+5, or -14+5 = -9.
Check: does the product of -9 and -14 equal 126, as it must? YES.
-3.1 * (- 2.9) Please help! Math.
Answers
(-3.1)(-2.9)
=8.99
Bob is a high school basketball player. his probability of making a free throw is 0.70. let x denote the number of hits in 10 shots. . find the probability that bob makes at least 9 hits. the probability is _____________.
Answers
"sam's furniture was destroyed by a fire. the furniture cost $1200 when it was purchased, but similar new furniture now costs $1800. assuming the furniture was 50 percent depreciated, what is the actual cash value of sam's loss?"
Answers
The actual cash value of Sam's furniture loss is $600.
To calculate the actual cash value of Sam's furniture loss, we first determine the amount of depreciation applied to the original purchase price. Since the furniture was 50 percent depreciated, we calculate this amount to be 50% of $1200, which is $600. This means the depreciated value of the furniture is $1200 - $600 = $600. However, because the replacement cost of new, similar furniture is now $1800, this does not affect the actual cash value of the lost furniture, which remains at the depreciated value of $600. So the actual cash value of Sam's loss is $600.
What is the place value of the 4 in the number 5,679.04
Answers
5 = thousands
6 = hundreds
7 = tens
9 = ones
0 = tenths
4 = hundredths
Hope this helps.
Take care,
Diana
Find two numbers with a sum of 20 and a difference of 14.
Answers
17 + 3 = 20
17 - 3 = 14
hope this helps
1. 3/5x -7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55
2.When Patrick and Cameron went bowling at Victory Lanes, they spent a total of $42. This included rental of shoes at $3.50 per pair. Patrick bowled 2 games, and Cameron bowled 3 games.
How much did each game cost?
A. $6.00
B. $7.00
C. $7.70
D. $8.75
3.A local movie theater offers a special deal for birthday parties. The price, which covers the cost of the tickets and a box lunch, includes a flat fee of $75 plus $5 per ticket. Sarah’s parents spent $150 altogether at the theater to celebrate her birthday.
Which equation can be used to determine how many children, x, were in the group?
A. 75/150=5x
B. 150/75=5x
C. 150 = 5x – 75
D. 150 = 5x + 75
4. 35 + 0.25x = 53.75
A. x = 75
B. x = 140
C. x = 215
D. x = 250
5.T he perimeter of this isosceles triangle is 47 cm.
top point. (B) left bottom point (A) right bottom point (C) in between 12cm
What is the length of each of its legs (it doesn't have legs)?
A. 15 cm
B. 17.5 cm
C. 19.5 cm
D. 35 cm
Answers
3/5x = 23 + 7
3/5x = 30
x = 30/(3/5)
x = 30 * 5/3
x = 150/3
x = 50 <==
=====================
3.50(2) + 5g = 42
7 + 5g = 42
5g = 42 - 7
5g = 35
g = 35/5
g = 7 <== each game costs $ 7
===================
150 = 5x + 75
===================
35 + 0.25x = 53.75
0.25x = 53.75 - 35
0.25x = 18.75
x = 18.75 / 0.25
x = 75 <===
===================
if one leg is 12.....and an isosceles triangle has 2 equal sides....(47 - 12) / 2 = 35/2 = 17.5 <==
X/2-18=(-28)
What is x?
X=?
Answers
Step 1: Write the division as a fraction
x ÷ 2 - 18 --> x/2 - 18
Step 2: Multiply both sides of the equation by 2
x - 36 = -56
Step 3: Move contact to the right side and change its sign
x = -56 +36
Step 4: Solve
x = -20
Last year, Amanda had
$10,000
to invest. She invested some of it in an account that paid
6%
simple interest per year, and she invested the rest in an account that paid
10%
simple interest per year. After one year, she received a total of
$760
in interest. How much did she invest in each account?
Answers
Let $y be invested in the account that paid 10% simple interest.
The total invested is $10,000, therefore
x + y = 10000 (1)
The interest amounts earned are respectively
x*1*0.06 = 0.06x
y*1*0.10 = 0.10y
The total interest earned is $760, therefore
0.06x + 0.10y = 760
Multiply through by 10 to obtain
0.6x + y = 7600 (2)
Subtract (2) from (1).
x + y - (0.6x + y) = 10000 - 7600
0.4x = 2400
x = $6,000
From )1), obtain
y = 10000 - 6000 = $4,000
Answer:
$6,000 in the account paying 6% simple interest, and
$4,000 in the account paying 10% simple interest.
The price of 6 pretzels is $5.10. Simon and Sofia bought 8 pretzels and shared the cost equally. How much did each person pay?
Answers
Suppose you buy a piece of office equipment for $9,000.00. After 5 years you sell it for a scrap value of $2,000.00. The equipment is depreciated linearly over 5 years. The value of the piece of equipment after 2 years is (rounded to the nearest whole dollar)
Answers
$7000/5 = $1400
Yearly depreciation = $1400
So in 2 years total depreciation = $2800.
Value = Purchase Price - Total Depreciation
Value = $9000 - $2800
Value after 2 years = $6200
The value of the piece of equipment after 2 years is $6,200.00.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
The equipment is depreciated linearly, which means that its value decreases at a constant rate each year. We can find the rate of depreciation by subtracting the scrap value from the purchase price, and then dividing by the number of years of useful life:
Rate of depreciation = (Purchase price - Scrap value) / Useful life
Rate of depreciation = (9000 - 2000) / 5
Rate of depreciation = 1400
This means that the equipment loses $1,400 of value each year. After 2 years, the value of the equipment will be:
Value after 2 years = Purchase price - (Rate of depreciation x Number of years)
Value after 2 years = 9000 - (1400 x 2)
Value after 2 years = 6200
Therefore, the value of the piece of equipment after 2 years is $6,200.00.
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The point(3,7) is reflected in the y axis what are the coordinates now
Answers
Thus, the reflection of point (3, 7) is (-3, 7), as shown in the picture.
Answer: (-3, 7)