Find the volume of the prism.
A triangular prism. The base triangle has a base of 7 feet and height 3 feet. The height of the prism is 5 feet.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's calculate its volume :} [/tex]
[tex] \textsf{V = Area of Triangle × Height } [/tex][tex] \sf{V = \dfrac{1}{2}\cdot 3 \cdot 7\cdot 5} [/tex][tex] \sf{V= \dfrac{105}{2}} [/tex][tex] \textsf{V = 52.5 ft³} [/tex][tex] \textbf{Volume if the prism is 52.5 ft³} [/tex]
Related Questions
Find the value of n.
Answers
Answer:
45°
Step-by-step explanation:
sum of exterior angles = 360
n+n+n+n+90+90=360
4n+180=360
4n=180n=45
If tan x = 1/2 , find sin x
The values of x are in between 0 and 2π
Answers
The equation tan(x) = 1/2 is an illustration of a trigonometry ratio
The value of sin(x) is sin(x) = ±1/√5
How to determine sin (x)?The tangent ratio is given as:
tan(x) = 1/2
The tangent ratio is calculated using:
tan(x) = opposite/adjacent
So, we have:
Opposite = 1 and adjacent = 2
Calculate the hypotenuse using:
Hypotenuse² = Opposite² + adjacent²
The equation becomes
Hypotenuse² = 1² + 2²
Hypotenuse² = 5
Take the square root of both sides
Hypotenuse = ±√5
The sine ratio is:
sin(x) = Opposite/Hypotenuse
So, we have:
sin(x) = ±1/√5
Read more about trigonometry ratios at:
https://brainly.com/question/13276558
URGENT PLEASE HELP!!
Thank you so much !
Answers
Answer:
1. d 2. A 3. c
Write the equation for function g(x)
Answers
Answer:
g(x) = (x + 2)^2 + 1
Step-by-step explanation:
From the graph/image that you have provided said translated shift of
f(x) -> g(x)
f(x) = x^2 , g(x) = a(x -h)^2 +k
h is shift right/left
k is shift up/down.
It appears that the shift is left 2 and up 1.
h = -2 and k = 1
g(x) = (x - (-2))^2 +1
g(x) = (x + 2)^2 + 1
What is the solution to this equation?
x+17 = 25
OA. x=9
B. x = 42
OC. x=8
OD. x = 12
Answers
Answer:
C. x=8Step-by-step explanation:
x + 17 = 25
Then
x + 17 - 17 = 25 - 17 (we subtract 17 from both sides in order to isolate x)
Then
x = 8
how many numbers between 19 and 79 are the prouducts of two even numbers?
Answers
Over the next 3 days Mrs. Messer would like to write 27 thank you cards. How many cards will she need to write each day in order to finish in time?
Answers
Answer:
9 Cards
Step-by-step explanation:
9 Cards a day equals 27 cards in 3 days
Answer:
9 CARDS
Step-by-step explanation:
(9) ~\(-_-)/~
A catering company offers meal pairings that include an appetizer of either salad or soup and an entree of either chicken or fish. At one
event, they serve a total of 78 meals. Of the 46 meals that include salads, 21 also include fish. There are 35 meals with fish as the
entree. Determine which two-way frequency table represents this situation.
Salad Soup Total
Chicken 18 25 43
Fish 14 21 35
Total
46 78
32
by Salad Soup Total
Chicken 23 16 39
Fish
23
16
39
Total
46
32
78
Salad Soup Total
Chicken
25
18
43
Fish
21
14
35
Total
46
32
78
Salad Soup Total
Chicken
32
46
78
Fish
46
32
78
Total
78
78
156
Answers
The two-way frequency table that represents this situation is :
Salad Soup Total
Chicken 25 18 43
Fish 21 14 35
Total 46 32 78
What is the two way frequency table that represents the data?A two way table is used to show the frequency for two categorical variables.
The total meal served = 78 Total salad meal served = 46 Total soup served = 78 - 46 = 32 Salad meals that had fish = 21Salad meals that had chicken = 46 - 21 = 25To learn more about two way frequency tables, please check: https://brainly.com/question/27344444
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Answer: Option A Salad Soup Total
Chicken 25 18 43
Fish 21 14 35
Total 46 32 78
Step-by-step explanation:
What is the exact value of x?
5 ⋅ 8^4x = 376
x=4log75.2/log8
x=4log8/log75.2
x=log75.2/4log8
x=log8/4log75.2
Answers
Answer:
[tex]x=\dfrac{\log(75.2)}{4\log(8)}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}5 \cdot 8^{4x} & =376\\8^{4x} & = \dfrac{376}{5}\\8^{4x} & =75.2\end{aligned}[/tex]
Taking logs of both sides:
[tex]\implies \log(8)^{4x}=\log(75.2)[/tex]
Using the power log rule [tex]\log_a(x)^n=n\log_a(x)[/tex] :
[tex]\implies 4x\log(8)=\log(75.2)[/tex]
Solving for x:
[tex]\begin{aligned}\implies 4x\log(8) & =\log(75.2)\\\\ 4x & =\dfrac{\log(75.2)}{\log(8)}\\\\x & =\dfrac{\log(75.2)}{4\log(8)}\\\end{aligned}[/tex]
The diagram shows figures that are parallelograms and figures that are rectangles.
Select the four attributes that all parallelograms and all rectangles have in common.
Answers
Step-by-step explanation:
Venn diagram shows the figures that are parallelograms and the figures that are rectangles
Hope its help thanks
graph the solution set for the inequality a/2 + 5 > 4
thanks!
Answers
Answer:
The answers is below in the picture.
Step-by-step explanation:
The area of a rectangular pool is given by the expression, h^2+11h+28. Which of the following represents the length and width of the pool, in terms of h?
A) (h+2)(h+14)
B) (h+1)(h+28)
C) (h+4)(h+28)
Answers
the length of the side sqaure A is 50% OF THE LENGTH OF THE SIDE SQUARE b
Answers
Let's say the side length of square A is x, which means the side length of square B is 2x.
Then, the area of square A can be written as , and the area of square B can be written as .
There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:
= 1/4 = 25%
So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question
Determine the average rate of change, in gallons of gas per year, from 1960 and 1999 and then determine what the result means in this situation. a. -0.33gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by a third of a gallon per year. b. 0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by a third of a gallon per year. c. 2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by nearly 3 gal/year. d. -2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by nearly 3 gal/year.
Answers
Answer:
D-step explanation:
None just guessed
maria worked as a florist and worked 12 hours last week and earned $96 at that rate how much will she earn this weekend if she works 14 hours
Answers
Answer:
Maria earned 112 dollars
Step-by-step explanation:
divided 96 by 12 then once you have that, multiply your answer by 14
If you flip 2 coins 60 times what is the best possible prediction that the coin will land on heads?
Answers
A company selling products online held a survey asking a group of people about the number of products they ordered online in a month. The table below shows the results of the survey.
Products Ordered
Number of Products Number of People
0 4
1 6
2 3
3 4
4 5
Number of Products Number of People
5 3
6 3
7 2
8 2
9 1
Which dot plot best displays the data in the table?
Answers
Answer:
wed need to see an attatchment of the dot displays to give you an answer friend
Find m2ABC.
Ad
37°
21°
B
m/ABC =
C
Answers
Answer:
it might be 58 , just look it up I don't really know
58
[tex]\bold{EXPLANATIONS:}[/tex]
3cot^(2 )x-1=0
Pls Help
Answers
Answer:
[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]
Step-by-step explanation:
[tex]3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\[/tex]
x=tan^-1([tex]\sqrt{3}[/tex])
It has to be in Quadrant 1 [tex]\frac{+}{+} =+[/tex] or 3 [tex]\frac{-}{-}=+[/tex] for positive.
[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]
Unless that incorrect due to tan(x) range is [tex]-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}[/tex]. Then the only answer is [tex]x=\frac{\pi }{6}[/tex]
which function corresponds to the graph below? help pleaseee!
Answers
Answer:
A
Step-by-step explanation:
It is A because the negative in front of the 4 shows the curve was REFLECTED over the x-axis. The +1/2 in the parenthesis with the x shows the curve was translated (shifted or slid) to the LEFT 1/2 unit and the +3 at the end of the equation shows the whole thing was translated/shifted/slid UP 3 units. These transformations all together make the equation in A match the curve given.
Translate the sentence into an equation.
Two less than the product of 3 and a number equals 7.
Use the variable w for the unknown number.
Answers
Answer:
3w - 2 = 7
Step-by-step explanation:
product of 3 and number (w)
= 3w
two less than that
= 3w - 2
thus, 7 = 3w - 2
A 10 ounce can of peaches cost $2.40 in a 25 ounce can of peaches cost $4.80 what is the unit price of the 25 ounce can of peaches
Answers
Unit price = total price / size
unit price for 25 ounce can :
$4.80 / 25 ounces = $0.192 per ounce
PLS ANSWER THIS QUESTION
WILL MARK BRAINLIEST
Answers
I think its 71, but I am not 100% sure. Take this as a secondary answer.
Answer:
C. 71°
Step-by-step explanation:
If angles 4 and 12 are equal and complementary, then they measure 45°
There is a triangle formed by angles 3, 11 and 12
the angle 3 = 64°, angle 12 = 45°
Then by the property of triangles:
angle 11 = (180 - 64 - 45)° = 71°
Hope this helps
I think of a number,divide it by 4 then subtract 3. Give your answer in algebraic notation.
Correct answer automatically gets brainliest :)
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(*make sure to write the division in fraction form as shown for algebraic notation)
A,B,C are the verticles of a triangle.
Answers
Answer:
i dont know if it is a true or false question bc there isnt enough info
Step-by-step explanation:
so ima say true
Susie bought 5 apples for $2.25. If she buys 8 apples at the same rate, how much will it cost? Do NOT put the dollar sign in your answer.
Answers
so the answer is 3.60
Answer:
3.60Step-by-step explanation:
well, here we go Let the cost of 8apples =x5 apples equals $2.258 apples will cost= x x= 8×2.25/5=3.60Solve this for 20 points be fast!!
Don’t mind the scribes
Answers
Answer:
One cubed shape block volume = 0.125 cubic feet
Step-by-step explanation:
Since the edge length of each block is 1/5 the edge length of the storage container, we do this:
1/5 x 2.5 = 0.5
Now we know that the edge length of each block is 0.5 feet. To find the volume of it, we do this:
0.5^3 = 0.125
The volume of one cubed shape block is 0.125 cubic feet.
Ax+By=C
Use integers for A,B, and C
y+5=4(x-2)
Answers
y + 5 = 4x - 8
y = 4x - 3
-4x + y = - 3
-1(-4x + y = - 3)
4x - y = 3
The graph shows the distribution of times (in hours) that teenagers spend playing video games per week. The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4 hours.
What percentage of times are between 6 and 22 hours?
16%
68%
95%
99.7%
Answers
Answer:
16 times of percent of 6 is between 22
Answer:
C
Step-by-step explanation:
Stole the answer off a website (cant name it here)
What amount of money must you invest at 6.8% compounded monthly, in order to have $10,000 after 10 years? Round your answer to the nearest dollar.
Answers
The amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
What is compound interest?
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
The rate of interest is 6.8% on the amount which is compounded monthly
The value of final amount is $10,000 after the time period of 10 years. There are total 12 months a year. Thus, the value of principal amount using the above formula is,
[tex]10000=P\times\left(1+\dfrac{6.8}{12\times100}\right)^{12\times10}\\10000=P\times1.97\\P=\dfrac{10000}{1.97}\\P=5076.14\\P\approx5076[/tex]
Thus, the amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
Learn more about the compound interest here;
https://brainly.com/question/24274034
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