The prism shown has a volume of 35 cm'.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm
Answers
The height of the triangular cross section of the prism will be [tex]2.5 \ cm[/tex] .
What is prism ?Prism is a polyhedron comprising an [tex]n-[/tex]sided polygon base, a second base which is a translated copy of the first, and [tex]n[/tex] other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
And,
Volume of prism [tex]= Base\ Area\ *\ Length[/tex]
We have,
Volume of prism [tex]=35 cm^3[/tex]
Length of prism [tex]=7cm[/tex]
Height of prism [tex]=h\ cm[/tex]
We also have,
Base of triangle [tex]=4\ cm[/tex]
One of the side of triangle [tex]=5\ cm[/tex]
As we have Triangular prism so Base area of prism will be the area of triangle.
so,
Area of triangle [tex]=\frac{1}{2}*base*Height[/tex]
[tex]=\frac{1}{2} * 4*h[/tex]
Area of triangle [tex]=2h[/tex]
Now,
Volume of prism [tex]= Base\ Area\ *\ Length[/tex]
[tex]35=2h*7[/tex]
[tex]h=\frac{5}{2}[/tex]
[tex]h=2.5 \ cm[/tex]
So, the height of prism is [tex]2.5\ cm[/tex] .
Hence, we can say that the height of the triangular cross section of the prism will be [tex]2.5 \ cm[/tex] .
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Answer: 13 7/10 miles till your uncles house
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Step-by-step explanation:
What is the value of the expression
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if you add 5 to me then divide by 9 you get 3 what number am I?
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Answer:
22 the answer is 22
Step-by-step explanation:
3*9= 27
27-5=22
You have to work backwards
If you put it together you get
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Answer:
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Step-by-step explanation:
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Answer:
x= -120
Step-by-step explanation:
-x/6+6+6=32
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Step-by-step explanation:
x is between x and 30
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I hope it helps!
One cell phone company charges a $76 sign-up fee and $40 per month. Another cell phone company charges $136 sign-up fee and $20 per month. Write and solve an equation to determine after how many months the cost is the same
Answers
Answer:
The cost would be same after 3 months.
Step-by-step explanation:
Given that:
Charges of first company;
Sign up fee = $76
Per month charges = $40
Let,
x be the number of months
y be the total cost.
y = 40x + 76 Eqn 1
Charges of second company;
Sign up fee = $136
Per month charges = $20
y = 20x + 136 Eqn 2
For same cost,
Eqn 1 = Eqn 2
40x + 76 = 20x + 136
40x-20x = 136 - 76
20x = 60
Dividing both sides by 20
[tex]\frac{20x}{20}=\frac{60}{20}\\x=3[/tex]
Hence,
The cost would be same after 3 months.
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Answers
Answer:
Step-by-step explanation:
C=2*3.14*r
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Answer:
-7 - 12e - 9
I’m not sure what your asking for but that’s the simplified version of that’s what your looking for. And from there you can get the answer by simplifying the one I gave you which would give you
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Step-by-step explanation:
Fred purchased a piece of artwork for 6200, and it is expected to increase in value by 5% per year. Write a function y to represent the value of the piece of artwork after v years.
Answers
Answer:
y = a(1 + r) ^v
y = 6200( 1 + 0.05)^v
y = 6200(1.05)^v
Step-by-step explanation:
Fred purchased a piece of artwork for 6200, and it is expected to increase in value by 5% per year. Write a function y to represent the value of the piece of artwork after v years.
The function we can used to represent the above question is given as Exponential Growth function.
Where the number of years = v
The value of the artwork = y
y = a(1 + r) ^v
Where
a = Initial value of the artwork = 6200
r = Growth rate = 5% = 0.05
v = number of years
Therefore, the function y to represent the value of the piece of artwork after v years is written as:
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y = 6200(1.05)^v
In a survey of 3,200 people who owned a certain type of car, 960 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
HELP NOW!!
Answers
Answer: let
Total number of those who took part in the survey (T)=3200
Those who were satisfied (t)=960
Percentage of those who were satisfied (S)=(t/T)*100
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S=30%
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Step-by-step explanation:
Thirty percent of the people surveyed were satisfied with the car.
What is the formula used to find the percentage?The formula used to calculate percentages is the ratio of value to total value multiplied by 100.
Let's denote T as the total number of people who owned a certain type of car and t as the number of people who were satisfied with the car.
Given that,
T =3200
t= 960
The percent of people satisfied with the car is obtained by using the below equation.
[tex](\frac{t}{T} ) * 100[/tex]
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As a result, the percentage of people who are satisfied with the car is 30%.
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A child is 4.5 ft tall and casts a 6 ft shadow. A nearby statue casts a 12 ft shadow. What is the hight of the statue?
Answers
Answer:
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Step-by-step explanation:
The Baking Club is selling pies during lunch to raise money to go to baking competition. Each pie is cut into 8 slices. The club made a certain amount of pies, and the cafeteria staff donated 2 pies. If there were a total of 80 pie pieces to sell, how many pies did the Baking Club make?
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Answer:
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Answer:
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Answer:
When working in trigonometry, you typically measure angles in radians.
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(round to the nearest whole number)
Answers
Answer:
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Step-by-step explanation:
Given that :
Nikki :
Initial amount = $1100 ;
Amount spent per week = $35
Mich:
Initial amount = $520
Amount saved per week = $55
Number of weeks they'll both have the same amount :
Let number of weeks = w
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1100 - 35w - - - (1)
For Mich who is saving :
520 + 55w - - - (2)
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Help me pls... Thanks
Answers
Answer:
ok im not good at math but les see how this goes errr
Step-by-step explanation:welp i think it s35 beAZcausee im smART :))))
your welcome
you can thank me later :))\
=================================================
Explanation:
Let y be the unmarked angle to the right of (x+85). Since angle (x+85) and angle y form a straight angle, we know that (x+85)+y = 180.
We also know that y = 60 since line a is parallel to line b, and corresponding angles are congruent when we have parallel lines.
So (x+85)+y = 180 updates to (x+85)+60 = 180
-------
Let's solve for x
(x+85)+60 = 180
x+85+60 = 180
x+145 = 180
x = 180-145
x = 35
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Answers
Answer:
0.08
Step-by-step explanation:
let the distance be d, then:
8/100 × d = 90 km
→ d = 90 km ÷ 8/100 = 90 km × 100/8 = 1125 km
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Answer:
x=? y=?
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Answer:
[tex] \sqrt{1314} [/tex]
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Henry solved the equation 3 (m + 2) = 12 + m
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Answers
The correct answer is 3: 35
Explanation:
To calculate at what time Jenny will arrive in Rochefort, the first step is to calculate the approximate time of the trip. Now, to calculate this consider the time of a movement (t) equals to the distance (d) divided by the speed (s), the process is shown below:
t = 483 km / 84 km/h
t = 5.75 hours
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Add the minutes: 50 minutes + 45 minutes =95 minutes
95 minutes are equivalent to 1 hour (60) minutes and 35 minutes
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Minutes: 35 minutes
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Answers
Answer:
3 - x <10
Step-by-step explanation:
plug in -2 as x in each equation and see if its true
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Answer:
v=6
Step-by-step explanation:
What is the area of the trapezoid?
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Answer:
62 square mm.
Step-by-step explanation:
First find the area of the rectangle
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Find the mean: 1, 4, 4, 6, 10
Answers
Answer: 5
Step-by-step explanation:
1. 1 + 4 + 4 + 6 + 10 = 25
2. 25/5 (divide by the amount of numbers)
Answer:
5
Step-by-step explanation:
First, add up all of the numbers.
1 + 4 + 4 + 6 + 10 = 25
Then count how many there are.
5
Lastly, divide the sum by the number of numbers.
25/5 = 5
This will give you your answer.
Hope this helped!
Equation Editor The coordinates of points A and B are (−7, 5) and (4, −3), respectively. What is the distance, in units, between the points?
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Answer:
√185 = 13.6
Step-by-step explanation:
Distance² = (x' - x)² + (y' - y)²
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VOCAB- SCREENSHOT AND DRAW WORDS ON FOR MATH EASY POINTS
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Answer:
3(2x+5)
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Step-by-step explanation:
45
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Answers
Answer:
2
Step-by-step explanation:
Compare y = 2x to y = kx, where y = kx is a proportional relationship.
We see that the constant of proportionality, k, is 2.