Raquel is cutting out pieces of cardboard to make a pyramid. She will use a square piece for the base and identical triangular pieces for the sides. The figure above shows the dimensions of the triangle for each side. What will be the total surface area, in square inches, of the pyramid, including the square base?
Answers
Answer:
340 inch²
Step-by-step explanation:
Side of the square is equal to the base of the triangle.
Area of square base
= side²
= (10 inch)²
= 100 inch²
Area of each triangle
= ½ × base × height
= ½ × 10 inch × 12 inch
= 10 inch × 6 inch
= 60 inch²
So, area of 4 triangles used
= Area of each triangle × 4
= 60 inch² × 4
= 240 inch²
Total surface area of pyramid
= Area of square base + area of 4 triangles
= 100 inch² + 240 inch²
= 340 inch²
Related Questions
Please let me know fast
Answers
Answer:
b) 0
Step-by-step explanation:
[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 9 meters and its width from left to right is 12 meters.
If the telescope is 9 m deep and 12 m wide, how far is the focus from the vertex?
Answers
Because the roots of the equation are 0 and 12, we know the formula is therefore of the form
y = ax(x - 12), for some a
So put in x = 6
-9 = 6a(-6)
9 = 36a
a = 1/4
So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x
The gradient of this is dy/dx = 0.5x - 3
The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8
Gradient of the parabolic mirror at x = 4 is -1
So the gradient of the normal to the mirror at x = 4 is therefore 1.
Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.
So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
please help with the screenshot
Answers
Answer:
7.5
Step-by-step explanation:
Triangles: RST and RPQ are similar so
Triangle RST has 12.5 and x
Triangle RPQ has 20 (comes from 12.5+7.5) and x+4.5
Therefore you divide
x/x+4.5 = 12.5/20
20x= 12.5x+56.25
7.5x=56.25
x=7.5
I need help please please help me )):
Answers
Answer:
ok bro I will help you don't worry
The number 10 lies between what two integers?
Answers
Answer:
9 and 11
Step-by-step explanation:
9 and 11 are before and after 10. so, 10 lies between them.
The manager at a computer recycling plant says it takes workers a minimum of 120 seconds to break down a computer monitor. The exact amount of time depends on the number of screws in the computer that must be removed. It takes 10 seconds to remove each screw, and then an additional 30 seconds to sort the computer parts into their appropriate containers for recycling. Write an inequality that determines the minimum number of screws that are in each computer monitor.
Answers
Answer: 120 + 10s + 30
Step-by-step explanation:
120 + 10s + 30
let "s" be the amount of screws
An alphabetic character representing a number
Answers
Answer:
a variable
Step-by-step explanation:
The answer is a variable because it's a letter that stands in place of a number
Answer:
simply refers to the type of Latin and Arabic characters representing the numbers 0 - 9, the letters A - Z
In a party of 60 people, 35 had vanilla ice-cream, 35 had chocolate ice-cream. All the people has at least one ice cream then how many of them had i) both vanilla and chocolate ice-cream ii) only Vanilla ice-cream iii) Only chocolate ice-cream
Answers
Step-by-step explanation:
[tex]its \: your \: answer \: I \: hope \: it's \: help \: you \: \\ dear[/tex]
Consider the following expression
Answers
I think that the anwser is probably 10.6
To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payment payment of $252.34 for 4 years.
Answers
Answer:
a. $24,512.32
b. $712.32
Step-by-step explanation:
a. A price of car $15,300, Tony made a down payment of $3900 so car has $11,400 left of a price and took out a loan.
He paid monthly payments of $252.34 for 4 years. Which mean $252.34 is paid for 48 months, multiplication $252.34 and 48 are $12,112.32. So we have monthly payments is $12,112.32
The total amount Tony ended up for the car is $11,400 + $12,112.32 = $24,512.32
b. The interest Tony pay on the loan is $12,112.32 - $11,400 = $712.32
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answers
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
What is the differentiation of 2cos2x
Answers
2cos2x=y
dy/dx(2cos2x)=-4sin2x
d/du cosu= u'×cos'u=-u'×sinu
d/du sinu= u'×sin'u= u'×cosu
d/du tanu = u'×(1+tan²u)
d/du cotu = u'×-(1+cot²u)
proof for cosu :
cos2x= 1-2sin²x
or 2cosx²-1
or cos²x-sin²x
we will one of this fro example let's take the first one
d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x
and we have 2 in the begining so its -4sin2x
Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?
Answers
Answer:
5.70
Step-by-step explanation:
Take the price per bag and multiply by the number of bags
.95 * 6 =5.70
Which statement best describes the relationship between the two figures?
Answers
Answer:
The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:
If 18 drinks cost £54, how much will 7 drinks cost ?
Answers
Answer:
£21
Step-by-step explanation:
Cost of 18 drinks = £54
Cost of 1 drink
= Cost of 18 drinks/18
= £54/18
= £3
Cost of 7 drinks
= Cost of 1 drink × 7
= £3 × 7
= £21
Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4
Answers
Answer:
10y + 4
Step-by-step explanation:
-9 + 8y + 12 - (-2y) + 1
-9 + 8y + 12 + 2y + 1
8y + 2y - 9 + 12 + 1
10y + 4
help pls, i dont get this :(
Answers
Answer:b. a deposit of $278 followed by a withdrawal of $278
Step-by-step explanation:
use a calculator
The area of this shape is 24 square units. Which of these statements is true about the area ?
Answers
Because the area of an object is number of square units or square grids inside the shape.
Answer:
D.
Step-by-step explanation:
What is the answer and method for this equation?
Answers
Answer:
X = 15/16
Step-by-step explanation:
2(4-8x) + 6 = -1
8 - 16x + 6 = -1
14 - 16x = -1
-16x = -1 -14
-16x = -15
X = 15/16
Answer:
[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]
x=15/16 is the right answer.What is the solution to
:-7?
A. 81
B. 63
C. 63
D. -81
Please help me I’m dum
Answers
Answer:
-63
Step-by-step explanation:
63/9 = 7, so in order to make the answer -7, 63 must be negative.
(1/5) ³
evaluate
pls help :)
Answers
0.008
1/5 x 1/5 x 1/5
:3
John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following statements is true?
a. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack increases.
b. The probability that John draws a jack on the first try is 3/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
c. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack decreases.
d. The probability that John draws a jack on the first try is 1/13. If John replaces the card, re- shuffles, and draws again, the probability that he will pull another jack stays the same.
Answers
Answer:
d
Step-by-step explanation:
It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.
The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
What do we mean by the probability of an event?The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.
If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,
P(A) = n/S.
How do we solve the given question?We are given that John is playing a game with a standard deck of playing cards.
We are said that he wants to try to draw a jack on the first try.
Let the event of drawing a jack be A.
The number of outcomes favorable to the event A (n) = 4 (number of jacks)
The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)
∴ The probability of the event A is given by,
P(A) = n/S = 4/52 = 1/13.
∴ The probability of drawing a jack on the first try is 1/13.
When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.
∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.
Learn more about the probability of an event at
https://brainly.com/question/7965468
#SPJ2
Jaishree studies for 5 hours daily. She devotes 2 hours of her time for science and mathematics. How muþch time does she devote for other subjects ?
Answers
Let Time devoted for others be x
[tex]\\ \rm\Rrightarrow x+2=5[/tex]
[tex]\\ \rm\Rrightarrow x=5-2[/tex]
[tex]\\ \rm\Rrightarrow x=3h[/tex]
Answer:
3 hours
Step-by-step explanation:
All we need to do here is subtract to find out how many hours she has left to devote to other subjects.
5 - 2 = 3
Best of Luck!
In a mathematics class , half of the students scored 84 on an achievement test. With the exception of a few students who scored 50 , the remaining students scored 76. Which of the following statements is true about the distribution of scores ?
A. The mean is greater than the mode.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is greater than the median.
Answers
Answer: B. The mean is less than the median
Step-by-step explanation:
there are some that scored 51 which means - mean<median
ANSWER QUICK 75 POINTS!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: 3(2+9x)
Line 2: 3(9x+2)
Line 3: 27x+6
Line 1 to Line 2:__________
Line 2 to Line 3:__________
Answers
Answer:
Line 1 to Line 2:Commutative property of addition
Line 2 to Line 3:Distributive property
Step-by-step explanation:
Line 1: 3(2+9x) Given
Line 2: 3(9x+2) Commutative property of addition
Line 3: 27x+6 Distributive property
Answer:
Line 1-Line 2=Commutative property
Line 2-LIne 3=Distributive property
Step-by-step explanation:
Lets solve
[tex]\\ \rm\longmapsto 3(2+9x)[/tex]
Commutative Property[tex]\\ \rm\longmapsto 3(9x+2)[/tex]
Distributive property[tex]\\ \rm\longmapsto 27x+6[/tex]
The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.
Answers
Answer:
-5
Step-by-step explanation:
-15<-6=-15
-15÷3
=-5
Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.
The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Given that:
[tex]-15 < -6[/tex]
Divide both sides by 3
[tex]-15 \div 3< -6 \div 3[/tex]
Evaluate the division
[tex]-5< -2[/tex]
Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Read more about inequalities at:
https://brainly.com/question/17194874
what is the answer to this question ????
Answers
Answer:
yesdbdjxjsjdxjskskamd
Answer:
options B is the check answer
There are 23 red candies, 16 blue candies,
and 10 yellow candies. What is the
probability that you will reach into the
candy bag and choose a yellow piece?
Answers
Answer:
[tex]\frac{10}{49}[/tex]
Step-by-step explanation:
There are 23 red candies, 16 blue candies and 10 yellow candies.
Which means altogether we have..
23 + 16 + 10= 49
49 candies.
To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.
So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]
10 YELLOW CANDIES
49 CANDIES
What is the LCM for 18,24
Answers
Answer:
I think the LCM is 72 for 18 and 24
Answer:
hope it helps you........
Simplify the expression. 3(7) – 3(3)
Answers
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]3\times 7-3\times 3[/tex]
This term's numerical factors have been multiplied:-
[tex]=12[/tex]
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