Rafael is cutting pieces of wood to make a triangular pyramid like the one shown below. The base of the pyramid is an equilateral triangle, and the faces are isosceles triangles.
Answers
Answer:
[tex]Total = 32.4in^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
The surface area of the pyramid
To do this, we calculate the surface area of each of the pyramid faces.
For the equilateral triangle.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.9in[/tex]
The area is:
[tex]A_1 = 0.5 * Base * Height[/tex]
[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]
[tex]A_1 = 8.775in^2[/tex]
There are 3 isosceles triangles of equal dimension.
[tex]Base = 4.5in[/tex]
[tex]Height = 3.5in[/tex]
The area of one of them is:
[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]
[tex]A_2 = 7.875in^2[/tex]
For the 3, the surface area is:
[tex]3A_2 = 7.875in^2 * 3[/tex]
[tex]3A_2 = 23.625in^2\\[/tex]
The total surface area is:
[tex]Total = 8.775in^2 + 23.625in^2[/tex]
[tex]Total = 32.4in^2[/tex]
Related Questions
36 is 18% of what number?
Answers
Answer: 200
Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200
Answer:
200
Step-by-step explanation:
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I hope
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answers
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.
Answers
Answer:
A = -2
B = -8
Step-by-step explanation:
A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.
Then if we have the equations:
A*x- y = 8
2*x + y = B
We want to find A and B such that both equations are exactly the same thing.
Notice that in the first one we have negative y, while in the second we have positive y.
Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:
A = -2
And B needs to be minus the corresponding therm in the other equation, then B = -8.
Then the system becomes:
-2*x - y = 8
2*x + y = -8
We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:
y = -8 - 2*x
y = -8 - 2*x
So both equations are exactly the same thing, meaning that we have infinitely many solutions.
Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?
Answers
Explanation: 7x6 = $42 + 11x6 = $66
7+7 = 14
11+11 = 22
14 x 6 = 84
22 x 6 = 132
132 + 84 = 216
The trim costs $216
Help i don't know what to do I will give brainiest
Answers
Answer:
The sum will be whichever number has the greater value.
Step-by-step explanation:
Let's say you have (-2) + 4 = ?
The number with the greater value is 4.
So the sum of your answer would be a positive, since the greater number has a positive sign.
Please help me solve this :((((
Answers
Answer:
Step-by-step explanation:
hello :
tangθ = 9.85/12.90
tangθ = 0.76
θ = tang-1(0.76)
θ = 37.23°
James made 8 pancakes that are all approximately 4 inches in diameter, and 0.5 inches tall. He stacks all of the pancakes on top of each other. What is the total approximate volume of the stack of pancakes rounded to the nearest cubic inch?
A. 16 cubic inches
B. 50 cubic inches
C. 100 cubic inches
D. 201 cubic inches
Answers
Answer:
The answer is A:16
Step-by-step explanation:
8+4+0.5=16 I think so
Do the following setm of lengths form a right triangle 36,77, 85
Answers
Answer:
They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.
Answer:
yes
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.
longest side = 85 and 85² = 7225
36² + 77² = 1296 + 5929 = 7225
Thus the 3 sides form a right triangle
Find a polynomial function that has the given zeros. (There are many correct answers.)
−4, 6
Answers
If polynomial function vanishes at
x
=
a
, then
(
x
−
a
)
must be one of its factors.
Thus
(
x
−
7
)
,
(
x
−
4
−
√
6
)
and
(
x
−
4
+
√
6
)
are factors of the required polynomial.
The simplest polynomial that satisfies this is
(
x
−
7
)
(
x
−
4
−
√
6
)
(
x
−
4
+
√
6
)
=
(
x
−
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)
{
(
x
−
4
)
−
√
6
}
{
(
x
−
4
)
+
√
6
}
=
(
x
−
7
)
{
(
x
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2
−
6
}
=
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x
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(
x
2
−
8
x
+
16
−
6
)
=
(
x
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7
)
(
x
2
−
8
x
+
10
)
Need help ASAP plz. Right answer plz.
Answers
Graph the equation and see where the highest point on the graph is. The x coordinate is the price and the y coordinate is the profit.
leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).
Answers
Answer:
To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance
Step-by-step explanation:
A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?
Answers
Answer:
On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?
Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.
Step-by-step explanation:
Please help and explain please. would appreciate it!Can someone please help and explain!
Answers
Answer:
x = 32 in
Step-by-step explanation:
8/34 = x/136
34x = 1088
x = 32 in
i need help with this question
Answers
Answer:
(C). [tex]\frac{22\pi }{3}[/tex] yd.
Step-by-step explanation:
What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45
Answers
Answer:
c
Step-by-step explanation:
20w=4w*5w
45WT=5WT*9WT
Can some help me with this problem
Answers
answer:
140000
step-by-step explanation:
you multiply 1.40*10^5
which equals 140000
good luck :)
i hope this helps
have a nice day !!
Answer:
140000
Step-by-step explanation:
to write this in regular notation, you move the decimal 5 places to the right (or just multiply 1.4 x 10^5)
WHAT IS THE TOTAL SURFACE AREA??
Answers
Answer:
210
Step-by-step explanation:
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Answer:
Why are you spamming questions
Step-by-step explanation:
What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37
Answers
Step 1: Add the two middle numbers (28+30)
Step 2: Divide the sum by 2 (58/2=29)
Answer: 27.9
Step-by-step explanation:
Add all the numbers together and divide it by how many number there is so
all the numbers added together is 279
there are 10 numbers there so you divide 279 by 10 and it gives you 27.9
what is equvalint to 1/2a-4
Answers
2. 3. Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles. a. Estimate how many miles he bikes in one day.
Answers
Answer:
Step-by-step explanation:
Estimate usually means "Don't use a calculator." An estimate would be 30 days and 390 miles. That makes 13 miles / day. I get the feeling that is not what is wanted.
miles / day = total distance / number of days
miles / day = 389.2 / 28
miles / day = 13.9 miles per day. I don't know which answer to use. I'd try this one first and then use the top one.
Round to 14 miles per day
could someone help me on this pleaseeee :)
Answers
Answer:
the slope is 1, y-intercept is (0,5) hope this helps!
Step-by-step explanation:
10. Which equations could be used to solve
for x? Circle all that apply.
Answers
Answer: B and D
Step-by-step explanation:
what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((
Answers
Answer:
Deny. Deny. Deny.
Step-by-step explanation:
Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3
Identify the inverse operation:r/4
Answers
Answer:
The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r
Step-by-step explanation:
So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.
The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
Answers
Answer:
1/2 percent
Step-by-step explanation:
If you look at the box, the middle number is 12 or since its the middle "1/2"
so the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
We have given that,
The players sold between 8 and 16 popcorn tins,
If you look at the box, the middle number is 12, or since it's the middle 1/2.
What is the fraction?
Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.
So the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
To learn more about fractions visit:
https://brainly.com/question/78672
#SPJ2
1÷1+cosa+1÷1_cos a please solve question
Answers
ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST
Mike 24 coins in nices and dimes they are valued at $2.05. how many DIMES does he have?
Answers
Answer: He has 8 dimes
Step-by-step explanation:
Answer:
17 dimes
7 nickels
Step-by-step explanation:
n = number of nickels
d = number of dimes
0.10d + 0.05n = 2.05
n + d = 24, n = 24 - d
substitute for n:
0.10d + 0.05(24 - d) = 2.05
simplify:
0.10d + 1.20 - 0.05d = 2.05
0.05d = 0.85
d = 17
n = 24-17 = 7
what % of 25 = 5
Please hurry
Answers
5 is what percent of 25? = 20
The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?
Answers
A
=
x
2
+
6
x
−
27
=
(
x
+
9
)
(
x
−
3
)
the width is x - 3
~iwa-chan
5. Ana's age is twice the age of Lorna. If the sum of their ages is no more than 72, find the age of
the two.
Answers
Answer:
Ana:48
Lorna:24
Together they are a total of 72 yrs old
Lorna’s age y
x=2•y
x+y ≤72
2•y+y =72
3y =72
y =72/3
y =24 Lorna’s age
x=2•y
x=2•24
x=48 Ana’ age
48+24 ≤72
72 ≤72