The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric.
Answers
Answer:
The answer is below
Step-by-step explanation:
A square pyramid is a pyramid with a square base. Therefore it is composed of 4 identical triangles and a square base.
From the image attached:
Area of each of the triangle = (1/2) * 3 m * 4.5 m = 6.75 m²
Area of base = 3 m * 3 m = 9 m²
Since the sides are covered in blue fabric, hence:
Surface area of blue fabric = 4 * area of each triangle = 4 * 6.75 m² = 27 m²
The base is covered with brown fabric, hence Surface area of brown fabric = 4 * area of each triangle = 4 * 9 m² = 36 m²
Related Questions
How many square feet of the carpet will the Smiths use for their family room.
Answers
Explanation:
Find the area of the whole carpet first:
Multiply 24 x 14 = 336 square feet. I got the length 24 cause look at the measurement at the top, its 20 and 4 so add those together.
Then find the area of that one corner of the carpet that will be excluded:
The figure it makes is a triangle, so this is how u find the area:
3 x 4 divided by 2 = 6 square feet.
Minus 336 - 6= 330
Cha.t me if u have any questions.
I believe in my answer, trust me this is easy geometry-
Mark me brainliest!
When Anna commutes to work, the amount of time it takes her to arrive is
normally distributed with a mean of 51 minutes and a standard deviation of 5
minutes. Using the empirical rule, determine the interval that represents the
middle 68% of her commute times.
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Answer:
(46,56)
Step-by-step explanation:
Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1
15 points pls I need ASAP
Answers
Answer:
A. y = 3x + 3
Step-by-step explanation:
y=mx+b
b is the y-intercept (0,y) so lets start with that
We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3
For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m
The whole equation is y=3x+3
Calculate the area of the region bounded by y=6x and y=6x^2. And find the volume of the solid generated by revolving the region about the x-axis
Answers
Answer:
Hence, the Area is [tex]\frac{24}{5} \;\text {and the Volume of the bounded region is } \frac{24\pi}{5}[/tex]
Step-by-step explanation:
Concept :
Area of the region bounded by two curve :
[tex]\int_a^b(R^2-r^2)dx[/tex]
volume of the solid generated by revolving the region about the x-axis is :
[tex]\int_a^b\pi(R^2-r^2)dx[/tex] where [tex]R[/tex] is long radius of bounded region from x-axis and [tex]r[/tex] is short radius of bounded region from x-axis.
Given :
[tex]y=6x[/tex] and [tex]y=6x^2[/tex]
To find :
Area of the region bounded by [tex]y=6x[/tex] and [tex]y=6x^2[/tex] and volume of the solid generated by revolving the region about the x-axis.
Explanation :
[tex]\because y=6x\;\text{and}\;y=6x^2[/tex]
[tex]\therefore 6x=6x^2\\\Rightarrow x=1[/tex]
Area of the region bounded by [tex]y=6x[/tex] and [tex]y=6x^2[/tex] is :
[tex]\int_a^b(R^2-r^2)dx=\int_0^1((6x)^2-(6x^2)^2)dx\\[/tex]
[tex]\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=\int_0^1(36x^2-36x^4)dx\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\int_0^1(x^2-x^4)dx\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\left(\frac{x^3}{3}-\frac{x^5}{5}\right)_0^1\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\left(\frac{1}{3}-\frac{1}{5}\right)\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=36\times\frac{2}{15}\\\Rightarrow \int_0^1((6x)^2-(6x^2)^2)dx=\frac{24}{5}[/tex]
Volume of the solid generated by revolving the region about the x-axis.
[tex]\int_0^1\pi((6x)^2-(6x^2)^2)dx=\int_0^1\pi(36x^2-36x^4)dx[/tex]
[tex]\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\int_0^1(x^2-x^4)dx\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\left(\frac{x^3}{3}-\frac{x^5}{5}\right)_0^1\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\left(\frac{1}{3}-\frac{1}{5}\right)\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=36\pi\times\frac{2}{15}\\\Rightarrow \int_0^1\pi((6x)^2-(6x^2)^2)dx=\frac{24\pi}{5}[/tex]
60 people were asked the colour of their car
Answers
Find the measure of
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find the square root of the following:
a. 1434/25
Answers
Answer:
7.57363849
Step-by-step explanation: square root of 57.36 = 7.57363849
Answer:
1434/25 is 57.36 the square root of 57.36 is 7.57
A smartphone costs $260. Sales tax is 6%. What is the total cost, including tax?
The cost of the smartphone, with tax, is $
Answers
Answer:
Step-by-step explanation:
TAX CALCULATION: 260 x .06 = $15.6
Next, add the tax to the original price.
260 + 15.6 = $275.6
$275.6 is the final price including tax.
A student completed the problem below. Explain in your own words how to verify
if the answer is correct. *
2x^2 – 5x - 3 = (2x + 1)(x - 3)
Answers
2x^2 - 5x - 3 = (2x + 1) (x - 3) IS CORRECT
Step-by-step explanation:
F O I L : Firsts Outsides Insides Lasts
— (2x+ 1) (x - 3) Multiply 2x with x = 2x^2
— (2x + 1) (x - 3) Multiply 1 with -3 = -3
— (2x + 1) (x - 3) Multiply -3 with 2x = -5x
(2x + 1) (x - 3) = 2x^2 - 5x - 3
Answer is CORRECT!
Please mark me as brainliest
Find the derivative of f(x) = -5 divided by x at x = 11. (5 points)
Answers
AThe chosen topic is not meant for use with this type of problem. Try the examples below.
f (x) = 7x − 2, x = 6
f (x) = 3x − 2, x = 9
f (x) = x^2, x = 12
Answer:
I believe it is 2.2
Step-by-step explanation:
5 goes into 11. 2 times. 2times5= 10 and 11-10=1- 5 goes into 10 2 times- 2 times 5=10; 10-10=0. Therefore it would be 2.2. Hope this helps you. :)
Five packets of almonds cost 2m dollars. Mandy buys 3 packets of almonds.
How much change does she receive if she paid with a $10 bill?
Answers
Answer:
3 ($0.40) = $1.20
Step-by-step explanation:
3 Simplify 3e - e + 4e
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Need answer fast thx
Answers
Answer:
50
Step-by-step explanation:
10% of 100 is 10 so times it by 5
value of 4y when y = -3
Answers
Answer:
-12
Step-by-step explanation:
4y=4*(-3) 4*(-3)=-12
Answer:
It’s -12
Step-by-step explanation:
Find the value of x.
A.18
B.15
C.16
D.19
PLEASE HELP!!!!!
Answers
Answer:
x = 19
Step-by-step explanation:
123°+3x = 180°
3x = 180°-123°
3x = 57
x = 57/3
x = 19
The reason why we use 123° + 3x = 180° because both are adjacent angles. Adjacent angles add up to 180°
SOMEONE PLEASEEEE HELPPPP
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[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]
provide a correct answer to this problem quickly please.
Answers
Use arrow notation to describe the translation of point P(8, –5) to point P'(15, –6).
Answers
Answer:
Step-by-step explanation:
From (-5,-4) to (-8, -7) is left 3 and down 3. In arrow notation: <-3 \/3
figure out what the x and y components of the translation are and then write the arrow to show the direction'
What is the equation of the line?
Answers
Answer:
The line equation is x=3 because the line covers all of the possible y values within the coordinate x=3.
If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make
Answers
Answer:
24 muffins
240 muffins
2 boxes
Step-by-step explanation:
here is the complete question
Amy is baking muffins. Each baking tray can hold 6 muffins.
a. If Amy bakes 4 trays of muffins, how many muffins will she have in all?
b. The corner bakery produced 10 times as many muffins as Amy baked. How many muffins did the bakery produce?
If the Corner Bakery packages the muffins in the boxes of a 100 how many boxes of a 100 could they make
Number of muffins Amy has = number of trays x capacity of each tray
6 x 4 = 24 muffins
b. Muffins the bakery produces = 10 x 24 = 240 muffins
c. Number of boxes = 240 / 100 = 2. 4
that is 2 boxes of 100
What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long, 9 cm wide, and 7cm tall?
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Answer:
This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.
pls help me on number 1
Answers
Answer:
A. 25in.³
Step-by-step explanation:
Volume of a prism = area of base × height
An isosceles triangle has two angles that measure 37 degrees. What is the measure of the third angle
Answers
Answer:
106°
Step-by-step explanation:
isosceles triangle has two sides equal meaning two sides measure 37 so
37+37=74
180-74=106
(total measurement of a triangle is 180)
7. What is the interquartile range for the following list of data?
1, 13, 15, 4, 1, 12, 6, 12, 6
Answers
Answer:
10
Step-by-step explanation:
1, 1, 4, 6, 6, 12, 12, 13, 15
[tex]LQ=\frac{9+1}{4} =2.5 term= \frac{1+4}{2}=\frac{5}{2}=2.5\\UQ= 3(\frac{9+1}{4}) =7.5 term= \frac{12+13}{2}=\frac{25}{2}=12.5\\IQR=UQ-LQ=12.5-2.5=10[/tex]
SIMPLIFY (√2 + √5) ²
Answers
Answer:
7+2√10
Step-by-step explanation:
Answer:
7+2√10
Step-by-step explanation:
Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)
I need this answered by today, please!!
Answers
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
Given
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]
Required
Express as [tex]ax + b[/tex]
We have:
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]
Open brackets
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]
Evaluate all multiplications
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]
Collect like terms
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]
[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]
Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]
find the sine of < I
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Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
Select ALL the expressions that have the same value as 9s
1. 9+s
2. 9*s
3. 3s + 6s
4. 3(3s)
5. s(5+4)
6. 3s * 3s
7. s+s+s+s+s+s+s+s+s
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Answer:
1
Step-by-step explanation:
What is the total surface area of the prisim
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Answer:
A. 846 cm²
Step-by-step explanation:
1539 ÷ 19 = 81
√81 = 9
9 · 9 · 81 = 1539
A = 2(wl + hl + hw)
A = 2(19 · 9 + 9 · 9 + 9 · 19)
846 cm²
Show me your thinking! This is not for marks but so that I get to know you more as a thinker
Determine the rule and the number of flowers at step 43.
Answers
Answer:
what do you mean
Step-by-step explanation:
can we see step 43