The base of the pyramid is a square, with edges of 115 feet. The height of each lateral face is approximately 91.4 feet. How much glass was needed to construct the sides of the pyramid?
5,255.5 square feet
15,766.5 square feet
42,044 square feet
21,022 square feet
Answers
Check the picture below.
so each triangular face has a height of 91.4 and a base of 115, and there are four of them, now, we're only considering the "lateral area", that excludes the base.
[tex]\stackrel{\textit{area of 4 triangles}}{4\left[ \cfrac{1}{2}(115)(91.4) \right]}~~\implies ~~ 21022[/tex]
Related Questions
5 more than one-fith of a number is equal to 5 less than one-fourth part of the same number. Find the number.
Answers
Answer:
200
Step-by-step explanation:
Let the number = x
[tex]One-fifth \ of \ a \ number = \dfrac{1}{5}x\\\\\\5 \ more \ than \dfrac{1}{5}x =\dfrac{1}{5}x+5\\\\\\one-fourth \ of \ the \ same \ number = \dfrac{1}{4}x\\\\\\5 \ less \ than \dfrac{1}{4}x=\dfrac{1}{4}x-5\\\\\\\\\dfrac{1}{5}x+5=\dfrac{1}{4}x-5\\\\\\\dfrac{1}{5}x=\dfrac{1}{4}x-5-5\\\\\\\dfrac{1}{5}x-\dfrac{1}{4}x=-10\\\\\\\dfrac{4}{20}x-\dfrac{5}{20}x=-10\\\\\\\dfrac{-1}{20}x=-10\\\\\\x= -10*\dfrac{20}{(-1)}\\\\\\x=200[/tex]
If a sprinkler waters 1/15 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?
Answers
Answer:
ok so first we know that 1/3 of a hour is 20 minutes since
60*1/3=20
so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15
20*15=300
300 minutes or 5 hours
Hope This Helps!!!
Answer:
5 Hour
Step-by-step explanation:
For 1/15 of lawn it takes = 1/3
So, for entire lawn it will take = 1/3 * 15 = 5
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[RevyBreeze]
The exponential function hhh, represented in the table, can be written as h(x)=a\cdot b^xh(x)=a⋅b
x
h, left parenthesis, x, right parenthesis, equals, a, dot, b, start superscript, x, end superscript.
xxx h(x)h(x)h, left parenthesis, x, right parenthesis
000 101010
111 444
Complete the equation for h(x)h(x)
Answers
The cοmplete equatiοn fοr h(x) is h(x)=4
What is an expοnential functiοn?An expοnential functiοn is a mathematical functiοn οf the fοrm f(x) = a^x, where a is a cοnstant and x is the variable. The cοnstant a is called the base οf the expοnential functiοn, and it is typically a pοsitive real number. When a is greater than 1, the functiοn represents expοnential grοwth, while when a is between 0 and 1, the functiοn represents expοnential decay.
Expοnential functiοns have sοme special prοperties, such as the fact that the rate οf change οf the functiοn is prοpοrtiοnal tο its value. In οther wοrds, the larger the value οf the functiοn, the faster it grοws οr decays. Expοnential functiοns alsο have a hοrizοntal asymptοte at y = 0 when a is between 0 and 1, and nο hοrizοntal asymptοte when a is greater than 1.
Expοnential functiοns are widely used in mathematics, science, ecοnοmics, and engineering tο mοdel phenοmena that exhibit expοnential grοwth οr decay, such as pοpulatiοn grοwth, radiοactive decay, and cοmpοund interest. They are alsο used in prοbability theοry tο mοdel the distributiοn οf randοm variables, such as the expοnential distributiοn.
Tο cοmplete the equatiοn fοr h(x), we need tο find the values οf a and b in the expοnential functiοn that cοrrespοnd tο the given table οf values:
x | h(x)
0 | 10
1 | 10
2 | 10
3 | 4
4 | 4
5 | 4
Since the value of h(x) is constant (equal to 10) for x = 0, 1, and 2, we know that [tex]b^0 = b^1 = b^2 = 1[/tex], which implies that b = 1.
Substituting b = 1 into the exponential function, we have:
[tex]h(x) = a * 1^x = a[/tex]
To find the value of a, we can use any of the given values of h(x) for which x > 2. For example, when x = 3, we have:
h(3) = 4 = a
Therefore, the complete equation for h(x) is:
[tex]h(x) = 4 * 1^x = 4[/tex]
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solve 9(x-11)=9 please help
Answers
Answer: 12
Step-by-step explanation:
Distribute the 9(x-11) first. If you distribute it, it becomes 9x-99
9x-99=9
Add 99 to both sides
9x=108
Divide by 9 on both sides
X=12
Rearrange the equation to isolate E:
M=
Answers
Answer:A
Step-by-step explanation:
The solution is in the file below
Help Solve please and explain find X and Y
Answers
Answer:
y = [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex]
x = 9
Step-by-step explanation:
this triangle is isosceles because the base angles are each 45°
the ratio of sides in a 45-45-90° triangle are 1 : 1 : [tex]\sqrt{2}[/tex]
so 'y' is going to also be [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex]
'x' will be [tex]\sqrt{2}[/tex] multiplied by [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex] which will be:
[tex]\frac{(9x2)}{2}[/tex] = 9
Jake rewrites the expression 81x2 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?
Answers
Different of 2 squares
(9x-1)(9x+1)
Find the value of x.
(7x+ 31)
Answers
7x = 31
The goal is to get x by itself on the left side. First, we divide both sides by 7 like this:
7x
7
=
31
7
When a numerator and denominator value are the same, then you can eliminate them by crossing them out:
7x
7
=
31
7
Then you are left with x by itself on the left like this:
x =
31
7
Finally, 31 over 7 is the same as 31 divided by 7. So, we enter that into our calculator to get the final answer:
x ≈ 4.429
what is x - 2 5/8 = 6 1/4
Answers
Answer:
8 7/8 is the correct answer
Step-by-step explanation:
hope this helps
[tex]x - 2 \frac{5}{8} = 6 \frac{1}{4} [/tex]
[tex]x - \frac{21}{8} = \frac{25}{4} [/tex]
[tex]x = \frac{50}{8} + \frac{21}{8} [/tex]
[tex]x = \frac{71}{8} [/tex]
[tex]x = 8 \frac{7}{8} [/tex]
help pls i give 5 stars and crown
Answers
Answer:
a) 82
b) 144
c) 75
d) 150
e) 241
f) 80
Step-by-step explanation:
There is a total of 360 degrees in a circle. To find the missing angles, you just have to add all of the other angles and subtract them from 360.
U2 L6 Function Operations Quick Check
PLEASE HELP!
Answer the questions in the pictures..
Answers
Answer:
1.d
2.b
3.c
4.d
5.c
Step-by-step explanation:
1. f(x) + g(x) = x - 11.
2. f(x) - g(x) = - 3x + 9.
3. f.g = 30x² + 28x - 6, all real numbers.
4. f/g = x + 4, all real numbers, x ≠ 4.
5. It doesn't matter which discount is applied first the result is the same.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions.In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
1. f(x) = - 5x - 4 and g(x) = 6x - 7.
Therefore, f(x) + g(x) = - 5x - 4 + 6x - 7.
f(x) + g(x) = x - 11.
2. f(x) = 3x + 2 and g(x) = 6x - 7.
Therefore, f(x) - g(x) = 3x + 2 - (6x - 7).
f(x) - g(x) = 3x + 2 - 6x + 7.
f(x) - g(x) = - 3x + 9.
3. f(x) = 5x + 3 and g(x) = 6x - 2.
Therefore, f.g = f(x)×g(x) = f(x).g(x).
f.g = (-5x + 3)(6x - 2).
f.g = -30x² + 10x + 18x - 6.
f.g = 30x² + 28x - 6.
The domain is all real numbers no restrictions.
4. f(x) = x² - 16 and g(x) = x + 4.
Therefore, f/g = f(x)/g(x).
f/g = (x² - 16)/(x + 4)(x - 4).
f/g = (x + 4)(x - 4)/(x - 4).
f/g = x + 4.
The domain of f/g is all real numbers except x ≠ 4.
5. Let, The original amount be 100.
25% off on 100 is 75 and 10% off again is 75 - 7.5 = 67.5.
Again, 10% off on 100 is 90 and 25% off on 90 is 90×0.75 = 67.5.
So, Both way is the same.
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A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.
If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore?
Is this bottle an outlier?
Answers
The associated z score for filling to 10.98 oz. is -1.16.
Z scoreThe z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where x is the raw score, μ is the mean and σ is the standard deviation.
Given that μ = 12.01, σ = 0.89, hence:
For x = 10.98:
z = (10.98 - 12.01)/0.89 = -1.16
The associated z score for filling to 10.98 oz. is -1.16.
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What is the constant of proportionality in dollars per granola bar?
Answers
4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00
: Have a nice day!!! :)
Explain to your guardian how you would solve the below problem
step by step. Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology.
What is the solution to the system? Feel free to submit graphs.
Answers
Answer:
infinite solutions
Step-by-step explanation:
y = 2x + 6
when x = 0, y = (2 x 0) + 6 = 6 ⇒ (0, 6)
when y = 0, 0 = 2x + 6 ⇒ x = 3 ⇒ (3, 0)
Plot the two points and draw a line through them
3y = 6x + 18
divide everything by 3 ⇒ y = 2x + 6
Therefore, y = 2x + 6 equals 3y = 6x + 18
So the lines overlap (produce the same graph)
Therefore, the system will have infinite solutions
Write the product as a power.
15⋅15⋅15⋅15
Answers
Answer:
[tex]15^4[/tex]
Step-by-step explanation:
Given the following question:
[tex]15\times15\times15\times15[/tex]
In order to find the exponent of the given expression we count how many times the number is being multiplied by itself, that number would then be the exponent.
[tex]15\times15\times15\times15[/tex]
They're four 15's
[tex]15^4[/tex]
To prove the answer:
[tex]15\times15\times15\times15=50625[/tex]
[tex]15^4=50625[/tex]
[tex]15^4[/tex]
Hope this helps.
is -11/-3 positive or negative
Answers
[tex] \huge \boxed{ \tt positive}[/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow \sf \dfrac{ - 11}{ - 3} [/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow \sf \dfrac{ \cancel- 11}{ \cancel - 3} [/tex]
[tex] \\ \\ [/tex]
[tex] \longrightarrow \sf \dfrac{ 11}{ 3} [/tex]
I need help please!!
Answers
So for x: 6x-4x = 2x
For y: 2y
For the numbers: 3+7=10
Use given triangle to fill in the blank.
Answers
Answer:
[tex]\sin B=\displaystyle\frac{b}{c}[/tex]
Step-by-step explanation:
Hi there!
This is the sine ratio:
[tex]\sin\theta=\displaystyle\frac{opposite}{hypotenuse}[/tex] where "opposite" is the side opposite the angle, "hypotenuse" is the hypotenuse of the right triangle and theta is the angle.
To find sin B, we must identify which sides of the triangle are the opposite side and the hypotenuse.
The side opposite to angle B would be b.
The hypotenuse is the side opposite the right angle, and that would be c.
[tex]\sin B=\displaystyle\frac{b}{c}[/tex]
I hope this helps!
Answer:
The choice second
[tex] \sin( B) = \frac{b}{c} [/tex]
Step-by-step explanation:
sin B = opposite/hypotenuse
Matt and Anna Killian are frequent flors on Fast-n-Go Airlines, They often fly between two cities that are a distance of 800 miles apart. On one particular trip, they
flew into the wind and the trip took 2.5 hours. The return trip with the wind behind them, only took about 2 hours. Find the speed of the wind and the speed of the
plane in still air
Pls help
Answers
Answer:
The speed of the wind is 40mph, the speed of the plane in still air is 360mph
Step-by-step explanation:
distance = speed * time
Both legs of the trip are 800 miles, let 'x' represent the speed of the plane in still air and 'w' represent the speed of the wind, then 'x+w' represents the speed with the wind and 'x-w' represents the speed into the wind
800 = (x-w)2.5
800 = (x+w)2
Rewrite equations:
800=−2.5w+2.5x;800=2w+2x
Steps: Solve 800=−2.5w+2.5x for w:
800=−2.5w+2.5x
800+2.5w=−2.5w+2.5x+2.5w(Add 2.5w to both sides)
2.5w+800=2.5x
2.5w+800+−800=2.5x+−800(Add -800 to both sides)
2.5w=2.5x−800
2.5w/2.5 = 2.5x - 800 / 2.5 (Divide both sides by 2.5)
w=x−320
Step: Substitute x−320 for w in 800=2w+2x:
800=2w+2x
800=2(x−320)+2x
800=4x−640(Simplify both sides of the equation)
800+−4x=4x−640+−4x(Add -4x to both sides)
−4x+800=−640
−4x+800+−800=−640+−800(Add -800 to both sides)
−4x=−1440
-4x/-4 = -1440/-4 (Divide both sides by -4)
x=360
Step: Substitute 360 for x in w=x−320:
w=x−320
w=360−320
w=40(Simplify both sides of the equation)
solving this system we have:
w=40
x=360
Therefore, the speed of the wind is 40mph, the speed of the plain in still air is 360mph
Is 20b+16c equal to 4(4b+5c)
Answers
Answer:
No
Step-by-step explanation:
Simplify : Distribute
4(4b+5c)
16b+20c
Hence, 4(4b+5c) equal to 16b+20c.
6/11 = c/77 solve the proportion
Answers
6x77=462
11xc= 11c
11c=462 (divide)
C=42
Hey there!
6/11 = c/11
6(77) = c(11)
6(77) = 11(c)
462 = 11c
We got the new equation above because we had to CROSS MULTIPLY.
11c = 462
DIVIDE 11 to BOTH SIDES
11c/11 = 462/11
CANCEL out: 6/6 because it give you 1
KEEP: 462/11 because it help solve for the c-value
NEW EQUATION: c = 462/11
SIMPLIFY IT!
c = 42
Therefore, your answer is: c = 42
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
would appreciate some help! :)
AABC ~ AQRS
Find the missing side length, m.
R
B
15
m
А-
С
4.
s
10
m = [?]
=
Answers
===========================================
Work Shown:
AC/QS = BC/RS
4/10 = m/15
4*15 = 10*m
60 = 10m
10m = 60
m = 60/10
m = 6
The first equation is possible because the triangles are similar. The horizontal sides AC and QS form the ratio AC/QS. This is equal to the ratio of the diagonal sides BC/RS since similar triangles have their sides in proportion.
After the equation is set up, we cross multiply and then solve for m.
An 8-bar package of soap sells for $4.00. What is the unit rate in cost per bar
Answers
Therefore the answer will be .50
I need some help please
Answers
Answer: 6
Step-by-step explanation:
Since the 3 semicircles are identical, we know that each semicircle has a diameter of 4, meaning they each have a radius of 2.
We can use the fact that (arc length of semicircle) = (pi)(r) to get the arc length of each to be 2pi.
Meaning 2pi + 2pi + 2pi = 6pi.
How would I find the answer
Answers
Answer:
by posting a question :)
Step-by-step explanation:
Answer:
Um, you didn't provide anything for me to answer so i don't really know what to provide for you.
Step-by-step explanation:
Find the Value of X. I will mark Brainliest to whomever answers this correctly with an extra 100 points if you give a decent explanation. Any foolish or obscene answers will be taken down and reported since this is more Brainly points than most people are willing to give.
Answers
Answer:24 degrees
Step-by-step explanation:
94+41 = 135 degrees
180 - 135 = 45 degrees
111 + 45 = 156 degrees
180 - 156 = x = 24 degrees
Hope I could help :)
Please Mark brainliest
Answer:
24°Step-by-step explanation:
One angle is shared and the sum of interior angles is 180:
94° + 41° = x + 111° (excluding the shared angle)135° = x + 111°x = 135° - 111°x = 24Divide using long division
pls show work
9x^3+18x^2-4x-8/3x-2
Answers
Answer: 3x^2+8x+4
Explanation:
3x-2 | 9x^3+18x^2-4x-8 =3x^2+8x+4
- 9x^3- 6x^2
24x^2-4x
- 24x^2-16x
12x-8
- 12x-8
0
David must install fencing around a lot that is shaped like a right triangle. The side of the lot that runs east-west is 200 ft long. The side of the lot that runs north-south is 125 ft long. Calculate how many feet of fencing he will need to surround the entire lot. If necessary, round your answer to the nearest whole.
Answers
1. Observe problem
I think 200ft and 125 ft are both sides, so:
sqrt(200^2+125^2) is 25sqrt{89}
which is
235.84952
Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?
Answers
Answer: 180 miles x 3 hours = 540
540/2 = 270
270 is the average speed
Step-by-step explanation:
Solve the equation-7x+6=127
Answers
Answer:
The answer is -19 because 127 - -6 will equal 133 and divided by -7 will equal the answer -19.
Helped by QueenTloveHave an nice day
Answer:
-17.28
Step-by-step explanation:
-7x +6= 127
-7x = 127-6
-7x= 121
x= -17.28