Help please
Here is a triangular prism.
7.8 cm
16 cm
5.4 cm
Work out the volume of the prism in cm.
Give your answer correct to 3 significant figures.
Answers
Answer:
243cm^3
Step-by-step explanation:
By Pythagoras' Theorem,
height of the prism ^2 + 5.4^2 = 7.8^2
height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)
volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)
This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Related Questions
10 decreased by twice a
Answers
Answer:
in simplest terms 10 decreased by twice A can be written as
10-2a
Step-by-step explanation:
Please help with this as soon as you can. Really need help and no idea how to do it.
Answers
Answer:
DE, BC, BA, CA
Step-by-step explanation:
basically just find the ones that do not cross and those are parellel.
Johnny has 12 action figures and wants to choose
5 of them to arrange on his desk. How many
possible arrangements can he create?
Answers
Answer:
2
Step-by-step explanation:
Please help me no one answers my last few questions
#6
Answers
Answer:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]
To find: [tex][f(x)]^2-g(x)[/tex]
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]
Now subtracting g(x) from [f(x)]^2
[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]
Combining alike terms
[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]
Hence,
Subtracting g(x) from the square of f(x) gives us:
[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]
A florist sells a dozen long-stemmed red roses for $54.99. In honor of their 16th wedding anniversary, a man wants to buy 20 roses for his wife. (Hint: How many roses are in one dozen?)
Let c represent the cost of 20 roses. Write a proportion, in terms of c, that can be used to solve for the cost of 20 roses.
What will the roses cost (in dollars)?
Answers
Answer:
20 roses cost $91.65
Step-by-step explanation:
Given
1 dozen rose = $54.99
Required
Determine the cost of 20 roses
To calculate the proportion, we make use of:
[tex]c = kx[/tex]
Where
c = cost
k = constant of proportionality
x = number of roses
For a dozen rose
[tex]c = 54.99[/tex] and [tex]x = 12[/tex]
So:
[tex]c = kx[/tex]
[tex]54.99 = k * 12[/tex]
[tex]54.99 = 12k[/tex]
[tex]k = \frac{54.99}{12}[/tex]
[tex]k = 4.5825[/tex]
For 20 roses
[tex]c = kx[/tex]
Where
[tex]k = 4.5825[/tex]
[tex]x = 20[/tex]
[tex]c = 4.5825 * 20[/tex]
[tex]c = 91.65[/tex]
x + -19 = 25 plsssss
Answers
Answer:
44
Step-by-step explanation:
X + -19 = 25
X-19=25
X=25+19
X=44
So the answer is 44
helllppp meee please
Answers
Answer:
2, 3, 6, 7
Step-by-step explanation:
I NEED HELP WITH THIS PICTURE IS PROVIDED
Answers
FOR EDG!! It is not 2,3, & 5!!
Which data collections show bias? Check all that apply.
1) An English teacher polls the top-ten most avid readers to find their favorite books.
2) An insurance company polls drivers of sports cars to find their average number of tickets.
3.) A restaurant manager surveys every tenth customer for one week.
4.) An assistant principal surveys each student who is sent for discipline.
5.) A fundraiser organizer draws five names from a hat that contains all entries.
Answers
Answer:
An assistant principal surveys each student who is sent for discipline
Answer: ITS A.), B.) and D.).
Help!!
The Wonder Wings Insect Museum sells bug-shaped notebooks in their gift shop. Last month, they sold 35 butterfly notebooks and 55 ladybug notebooks. The notebooks were so popular that they want to order more this month. They plan to order 110 ladybug notebooks this month. If they keep the same ratio, how many butterfly notebooks should they order this month?
Answers
Answer:
70
Step-by-step explanation:
The number of butterfly notebooks should they order this month approximately will be 43.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The Miracle Wings Bug Exhibition hall sells bug-formed scratch pads in their gift shop. Last month, they sold 35 butterfly notepads and 55 ladybug journals.
The ratio of butterfly notebooks and ladybug notebooks will be given as,
⇒ 35 / 55
⇒ 7 / 11
The scratch pad was well known to the point that they believe should arrange more this month. They intend to arrange 110 ladybug notepads this month.
Let 'x' be the number of butterfly notebooks. Then the number of ladybug notebooks will be (110 - x).
If they keep the same ratio. Then the value of 'x' is given as,
x / (110 - x) = 7 / 11
11x = 770 - 7x
18x = 770
x = 42.77
The number of butterfly notebooks should they order this month approximately will be 43.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Edwin's dog eats 1/3 of a pound of food each day. Edwin has a bag containing 2 1/3 pounds of dog food. How many days will the bag feed Edwin's dog?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
7 days
Step-by-step explanation:
Solve for x and verify:3(x+3)-2(x-1)=5(x-5)
Answers
Answer:
x=9
Step-by-step explanation:
Distribute:
3x+9-2x+2=5x-25
Combine like terms:
x+11=5x-25
Solve:
x-x+11=5x-x-25
11=4x-25
11+25=4x-25+25
36=4x
Divide by 9:
x=9.
Hope this helps :D
Answer:
x = 9
Step-by-step explanation:
Step 1: Solve both sides by distributing the values.
3x+9-2x+2 = 5x-25
Step 2: Put the like terms together.
3x-2x-5x = -25-9-2
-4x = -36
Step 3: Divide both sides by -4 to get the value of x.
[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-36}{-4}[/tex]
x = 9
Let's verify the answer.
3x+9-2x+2 = 5x-25
3(9)+9-2(9)+2 = 5(9)-25
27+9-18+2=45-25
20 = 20
3x + 4y =12
What is the slope of the line?
Answers
Answer:
-3/4
Step-by-step explanation:
I hope this helps!
Answer:
-3/4Step-by-step explanation:
Given3x + 4y = 12To findSlope of the lineSolutionConverting the equation into slop-intercept form:
3x + 4y = 124y = -3x + 124y/4 = -3x/4 + 12/4y = -3/4x + 3Slope is -3/4
HELLLLLLLLLLLLLLLLLLLPPPPPPPPPP
Answers
Answer:
The answer is: 2 * 8n * 8n * 8n * 8n
Step-by-step explanation:
Solve x2 = 144
A) x = ±12
B) x = ±72
C) x = ±288
D) x = ±20,736
Answers
Answer:
A
Step-by-step explanation:
A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee
Answers
Answer:
1.3245
Step-by-step explanation:
Please help please I beg you if you love puppy’s puppy eyes please
Answers
The answer is the one that would be D is the choices were lettered: Moving the decimal point one place to the left makes the number 1/10 of its original value.
Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m=-3?
Check all that apply.
Answers
Answer:
A,B, AND C
Step-by-step explanation:
Solve for a.
5a2=980
Enter your answers in the boxes.
Answers
a^2=980/5
a=sqrt980/5
a= 14
Write a problem in which $180 would be a reasonable answer
Answers
Answer: Word problem: Mya goes to a carnival and buys food for her and her friends. She buys 5 funnel cakes that were $20 each. She buys 10 buckets of popcorn that were 8 dollars each.
Regular problem: $20+$15+$20+$100+$25=180
Step-by-step explanation: I didn't know what you needed. I'm sorry if that's not it, but hope it helps.
Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)
Answers
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic
Answers
Answer:
No, this is not a function because this would not pass the vertical line test in which only one y point can be on one x axis not two. As you can see, on (0,3) and (0,(-2)) are on the same x axis. So, not a function.
What are the subsets of the set {2, 5}?
a. {2}, {5}, {2,5}
b. { }, {2}, {5}, {2,5}
c. {0,2,5}
d. ∅, {5}, {2,5}
Answers
Answer:
the answer is b.........
Max can stuff 11 envelopes per minute. Jennifer can stuff 3 envelopes every 15 seconds. Joyce can stuff 650 envelopes in one hour. Who can stuff the envelopes at a faster rate?
Answers
Max makes 11
And Joyce 10
Answer- Jennifer
The Answer:
The Step-by-step explanation:
Calculate the probability that a life aged 0 will die between ages 19 and 36, given the survival function
Answers
Answer:
Question: **Actuarial Mathematics, Survival Models** Calculate The Probability That A Life Aged 0 Will Die Between Ages 19 And 36, Given The Survival Function S0(x) = (1/10), 0 X 100 Answer: 0.1.
Step-by-step explanation:
URGENT PLEASE HELP
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)
Answers
Answer:
kj gfbdhngfbd
Step-by-step explanation:
Please help me ASAP. !
Answers
Step-by-step explanation:
distance must positive
so, 25-12
=13
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Consider functions f and g.
Evaluate the function composition.
Answers
Answer:
I think answer wil me
find by multiple of that f.g
Answer:
Answer = 1 (Plato)
Step-by-step explanation:
An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.
Answers
Answer:
She paid $67692.31 for the house originally.
Step-by-step explanation:
Let the initial cost of the house be [tex]x[/tex] dollars.
Given:
Selling price of the house (S.P) = $88000
Profit made = 30% of 'x' = [tex]0.30x[/tex]
We know that,
Profit = Selling Price - Original price
[tex]0.30x = 88000 - x[/tex]
Adding [tex]x[/tex] on both sides, we get:
[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]
Dividing both sides by 1.3, we get:
[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]
Rounding to 2 decimal places, we get:
[tex]x=\$67692.31[/tex]
Therefore, she paid $67692.31 for the house originally.
will someone plz do this question
Answers
Answer:
the answer is a your welcome