Step-by-step explanation:
1/3×π×r^2×15=1570. r^2=1570×21/(22×15);r=10.00
The Canvas Camping Company makes canvas tents like the one shown. How much material is needed to make the tent?
The material needed to make the tent assumes the shape of a triangular prism and the surface area of the material needed is 193.18 ft².
What is the surface area of a triangular prism?A triangular prism is indeed a three-sided prism made up of a triangle base, a translational copy, and triple faces connecting equivalent sides in geometry.
The properties of a triangular prism include:
It has five facesIt has six edgesIt has nine verticesLet's assume that the shape of the canvas tents is in form of a triangular prism, to determine the material needed to make the tent, we need to understand the surface area of a triangular prism.
However, let's assume that:
Each of the three bases of the triangular prism = 6The height of the triangular prism = 9From the image attached below: the surface area of the triangular prism can be calculated by using the following formula:
[tex]\mathbf{A = 2A_B +(a+b+c)h }[/tex]
[tex]\mathbf{A_B = \sqrt{s(s-a)(s-b)(s-c)}}[/tex]
[tex]\mathbf{s = \dfrac{a+b+c}{2}}[/tex]
Combining the formulas together the surface area of the triangular prism can be computed as:
[tex]\mathbf{S.A = ah+bh+ch+\dfrac{1}{2} \sqrt{ -a^4+2(ab)^2+2(ac)^2-b^4 +2(bc)^2-c^4}}[/tex]
[tex]\mathbf{S.A = (6\times9)+(6\times9)+(6\times9)+\dfrac{1}{2} \sqrt{ -6^4+2(6 \times 6)^2+2(6 \times 6)^2-6^4 +2(6 \times 6)^2-6^4}}[/tex]
S.A = 193.18 ft²
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Please help me with this math problem!! Will give brainliest!! :)
Answer:
P = 67°
Step-by-step explanation:
[tex]tan(P)=\frac{24}{10}[/tex]
[tex]P=tan^{-1} (2.4)=67.3^{o}[/tex]
Hope this helps
Answer:
67°
Step-by-step explanation:
Check The attached photo
Which expression is the factorization of x2 10x 21? (x 3)(x 7) (x 4)(x 6) (x 6)(x 15) (x 7)(x 14)
[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]
[tex] \purple{ \bf{Let's \: solve→}}[/tex]
[tex] \sf{↪ {x}^{2} + 10x + 21} \\ \\ \sf{↪by \: splitting \: middle \: term} \\ \\ \sf{↪ {x}^{2} + 7x + 3x + 21} \\ \\ \sf{↪taking \: common} \\ \\ \sf{↪x(x + 7) + 3(x + 7)} \\ \\ \sf{↪(x + 3)(x + 7) \: is \: yr \: answer}[/tex]
____________________☃️[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
The average weight of a male African elephant is 15,000 pounds. How many tons is this?
A. 30,000,000 tons
B. 7/12 tons
C. 7tons
D. 8 tons
Answer:
C
Step-by-step explanation:
it C because the answer is C :)))
Which statement is most likely to be true? the ages of the mackerels are the most dispersed from the team’s mean. the ages of the stars are the most dispersed from the team’s mean. the ages of the dolphins are the most dispersed from the team’s mean. the ages of the giants are the most dispersed from the team’s mean.
The ages of the Stars are the most dispersed from the team’s mean
Which statement is right?Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data.
Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion.
In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true
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What is the area of the rectangle
Width 7.5
Length 6.2
Answer:
46.5
Step-by-step explanation:
I need help FAST!!! How do you do this???
Answer:
- (x + 10 )
Step-by-step explanation:
Given:
-x-10
Factor out -1 {-x is the same as -1}
= - (x+10)
~Lenvy~
You have a budget with room for no more than 30% of your take-home pay
for rent. Your take-home pay is $2,400 per month. How much can you
afford to pay for rent per month? *
Answer:
Rent = 720 dollars / month
Step-by-step explanation:
Remark
You can afford to pay out 30% of your take home pay for rent.
Givens
Take home pay: 2400 dollars.
Rent alotment: 30%
Rent:x
Formula
rent = % of pay * Take home pay
Solution
x = 30/100 * 2400 Divide by 100
x = 0.30 * 2400 Multiply the right
x = 720
Please help me........
Bobby has 9 pizzas. He eats 2 and throws away 1. How many does he have left?
Bobby has 6 pizzas left.
Step-by-step explanation:
9-2(eaten ones)-1(thrown away)=6
Answer:
6
Step-by-step explanation:
g(t) = 3t+3
h(t) = 2t - 1
Fing (g - h) (2)
Answer: 6
Step-by-step explanation:
Describe how to transform the graph of g(x)=logx into the graph of f(x)=2log(4-x).
Answer:
I'm not sure if you have answer choices but here's the explaination!!
Step-by-step explanation:
Reflect across the y-axis, translate 4 units to the right, and vertically stretch by a factor of 2.
Hope this helps!! Good luck. (:
What is the median of the data set?
=========================================================
Explanation:
The diagram shows us we have this data set
{5, 8, 8, 8, 8, 9, 9, 9, 10, 10}
Cross off the outer most items (the 5 and the second 10) to get this smaller set
{8, 8, 8, 8, 9, 9, 9, 10}
Repeat the last step of crossing off the outer most items to get
{8, 8, 8, 9, 9, 9}
Keep this process going until we have this set of steps
{8, 8, 9, 9}
{8, 9}
We have two items left, which are tied for the middle, so we compute the midpoint
(8+9)/2 = 17/2 = 8.5 is the median
This is the middle most value
For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the game that regularly costs $32. 50?
Answer: $23.40
Step-by-step explanation:
We will find what percent of the normal cost the items are currently.
100% - 28% = 72%
Now, we will find 72% of $32.50
72% -> 0.72
$32. 0 * 0.72 = $23.40
The discounted cost is $23.40.
Hurry help me please
Answer:
5
Step-by-step explanation:
Convert the element to fraction:
[tex]\frac{2}{1}[/tex] / [tex]\frac{2}{5}[/tex]
Switch the division to multipl:
2/1 * 2/5
Cross multiply:
2 is elimiated and 1 and 5 remain.
Answer is 1/5 which is 5.
Answer:
5
Step-by-step explanation:
2 ÷ 2/5
= 2 x 5/2
= 10/2
= 5
Five roads form two triangles. What is the value of x? Justify your answer.
Using sine rule, the value of x in the triangle formed by five roads is 53.36 degrees.
How to find the angle of triangle using sine law?The value of x can be found using sine rule.
Therefore,
73.2 / sin 37° = 97.6 / sin x
cross multiply
73.2 sin x = 97.6 sin 37°
73.2 sin x = 97.6 × 0.60181502315
73.2 sin x = 58.7371462596
divide both sides by 73.2
sin x = 58.7371462596 / 73.2
x = sin⁻¹ 0.80242003086
x = 53.3618236772
x = 53.36°
Therefore, the value of x is 53.36°
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The diameter of a circle is 4 kilometers. What is the radius?
d=4 km
Answer:
2 km
Step-by-step explanation:
radius = [tex]\frac{diameter}{2}[/tex]
radius = [tex]\frac{4}{2}[/tex]
radius = 2 km
What werror did Tracy make
Answer:
26
Step-by-step explanation:
For a centroid there is a 2:1 ratio for AG:GF and for BG:GD. Because BG is 40, GD is 20, so x is 2. Using that information, you can solve for AG. 19(2)+14, which is 52. This means that GF is 52/2 = 26.
Consider the functions f(x) = x − 7 and g(x) = 4x3.
What is f(x) + g(x)?
Step-by-step explanation:
f(x)+g(x)=(x-7)+(4×3)
f(x)+g(x)=(x-7)+(12)
f(x)+g(x)=x-7+12
f(x)+g(x)=x+5
S= ut + ½ at?
u= 10
a=-2 t= 1/2
Work out the value of s.
Answer:
9
Step-by-step explanation:
(10x1/2) + 1/2 (-2x1/2)
-> 5+ 1/2 (-1)
-> 5+-1/2
->4.5
-> 4.5^2=9
Step-by-step explanation:
[tex]s = 10 \times \frac{1}{2} + \frac{1}{2} + ( - 2)( \frac{1}{2} ) ^{2} [/tex]
[tex]s = 5 + \frac{1}{2} \times ( - 2)(0.25)[/tex]
[tex]s = 5 + \frac{1}{2} ( -1)[/tex]
[tex]s = 5 - 0.5[/tex]
[tex]s = 4.50[/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE letFind 3 ratios that are equivalent to the given ratio.
Answer:
A. 12:26 , E. 18:39 , D. 24:52
Hope this helped, brainliest would be appriciated :) have a nice day!
Four friends each bought matching necklaces and two pairs of earrings the necklace were priced at 15.00 if the total bill for all 4 friends was 128.00 what was the price of one pair of earrings
The cost of one pair of earing will be £8.59.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that four friends, each bought matching necklaces and two pairs of earrings the necklace was priced at 15.00 if the total bill for all 4 friends was 128.00.
The cost of one pair of earing will be,
£128-£15-£15-£15-£15= £68
Number of pairs of earing,
2x4=8 pairs of earrings
The cost of one pair of earrings is,
£68 / 8 = £8.50
Therefore, the cost of one pair of earing will be £8.59.
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#SPJ2
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у
-2
-2
-1
1
1
7
2
10
Answer:
y=3x+4
Step-by-step explanation:
See attachment.
.,,.,,.,,.,.,.,.,.,,...,.,.,.,.,.,.,.,.,,,
diameter = 5cm
radius = 2.5cm
πr² = 3.14×2.5×2.5
19.625cm²
hope it helps...!!!
Please help! If you don’t know the answer please don’t answer!!
Describe the type of distribution:
A.) Uniform
B.) Approximately bell-shaped
C.) Skewed left
D.) Skewed right
find the value of X
please help!
Answer:
Step-by-step explanation:
So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540
Then it is algebra
540=91+125+92+(3x-5)+(4x-8)
Simplify what you can and collect like terms
540=308+3x-5+4x-8
540=308+7x-13
Then move everything over to the one side so that the variable is isolated
540-308+13=7x
245=7x
242/7=x
35=x
Advanced Clock Repair Services repairs a large variety of antique clocks. Dennis, the owner, operates the business out of his living room and he performs all repairs. Based upon history, the time to repair a clock is exponentially distributed with a mean of about 5 days. Currently, Dennis will always accept a clock for repair no matter how many are already in his living room. Customers drop off clocks for repair according to a Poisson process with a rate of about 0. 18/day. Dennis charges an average of $250 for a repair.
Required:
a. How many clocks would you expect to find in Dennis's living room at any time?
b. Assume you just dropped off a clock for repair. How long would you expect to wait before your clock is repaired?
c. What is Dennis's expected income rate?
d. Dennis's wife is irritated with the number of clock in the living room. Dennis is considering setting a limit of 5 clocks in his living room at any time (. E. An arriving customer will be turned away if there are already 5 clocks there). Dennis would like to determine the impact on his income rate for the new policy vs. The old. Build a model and use it to answer his question
What is the area of the parallelogram?
Will mark brainlyest!!
36m^2
Step-by-step explanation:
Answer: the first answer
Step-by-step explanation: A= B times h base times hight the base is 6 and the hight right now is also 6
A new car is for lease for $379 per month for 24 months, with a down payment of $558 What is the cost for two years for this vehicle? $9,096 $9,954 $29,688 $20,592 $20,971
There are 4 cups in 1 quart?? 23pts
Answer:
0.56
Step-by-step explanation:
8.96/(4*4)
there are 16 cups in the 4 quart jug so we need to divide the price by 16 to get the price per quart