Answers
Answer:
Option A
The volume of prism is, [tex]180^{3}[/tex]
Step-by-step explanation:
From the given figure, we have
The length of the triangular prism is 6 units.
Since in the triangular cross-section we have the base (b) equals 5 units and the height (h) equals 12 units.
Using Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross-section has base b units and height h units, then,
Volume(V) of the triangular prism in the cubic unit is given by;
[tex]V=\frac{1}{2}bhl[/tex]
Putting the values of [tex]l=6[/tex] unit, b=5 unit and h = 12 unit.
⇒ V = 1/2 × 5 × 6 × 12
on solving we get;
[tex]V=180^{3}[/tex]
therefore, the volume of the prism is [tex]180^{3}[/tex].
(brainliest would really help, thanks >:3)
Related Questions
Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?
Answers
Answer:
1.0769
Step-by-step explanation:
multiply 4x2 to get 8
move -52x over the equal sign to make it 52x
so we get something like this: 8 + 169 = 121 + 52x
also move 121 over the equal sign to make it -121
Like this: 8 + 169 - 121 = 52x
Now when you simply, you will get 56 = 52x
Divide both sides by 52
Final answer is 1.0769
Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point J after a dilation with a scale factor of 3?
Answers
Given:
The vertices of a triangle JKL are J(0, 2), K(–1, 2), and L(0, –3).
To find:
The coordinates of the image of point J after a dilation with a scale factor of 3.
Solution:
If a figure is dilated by a scale factor of k, then
[tex](x,y)\to (kx,ky)[/tex]
The given triangle JKL dilated by a scale factor of 3. So,
[tex](x,y)\to (3x,3y)[/tex]
The coordinates of point J are J(0,2). By using the above rule, we get
[tex]J(0,2)\to J'(3(0),3(2))[/tex]
[tex]J(0,2)\to J'(0,6)[/tex]
Therefore, the coordinates of the image of point J after a dilation with a scale factor of 3 are J'(0,6).
A restaurant must add 15% tax to the price of a meal.
a Here are some bill totals before tax is added. Work out the bill after tax is added.
i $42.20 ii $19.50 iii $64.80
Answers
2. 22.42
3. 74.52
Sadie sold 45 cupcakes, which were packed in 9 boxes. How many cupcakes were in each box?
Answers
Answer:
5 cupcakes per box
Step-by-step explanation:
45 ÷ 9 = 5
:)
Answer:
45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!! 9 x 5 is equal to 45.
Step-by-step explanation:
The cost to rent a bicycle is $5.00 plus $3.00 per hour for x hours. What equation
represents the total cost, C, for x hours? *
1. C = 5x + 3
2.C = x(5 + 3)
3.C = 5 + 3x
4.C = 5x + 3x
Answers
Answer:
3
Step-by-step explanation:
hope this helps with the problem
Answer:
C = 5+3x
Step-by-step explanation:
if its 3.00 per hour for x hours, you have to multiply 3 by x hours.
If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.
Answers
Answer:
x=20
Step-by-step explanation:
Simplify:
8x4 – 3x – 7 = [?]
x=-1
Answers
Answer:
4
Step-by-step explanation:
8×(-1)⁴-3×(-1)-7=8+3-7=4
Answer:
4
Step-by-step explanation:
Substitute x = - 1 into the expression
8[tex](-1)^{4}[/tex] - 3(- 1) - 7
= 8(1) + 3 - 7
= 8 + 3 - 7
= 11 - 7
= 4
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answers
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
Ira walked 20 miles last week and 22 miles this week. Raj walked 1/3 the distance that Ira walked. Write an expression for the distance Raj walked
Answers
Answer:
Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes
Step-by-step explanation:
what is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters? (no links or bots please)
Answers
Answer
A=15cm²
Step-by-step explanation:
let me know if im please :)
Stacey earns $15 each week plus $.50 for each customer on her paper route.she wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25?
Answers
Answer:
15 + .5x = 25
Step-by-step explanation:
.5x = 10
x = 20
Mrs. James is making snow cone cups using a special-coated paper to sell at a school
fundraiser. The snow cone cups have a diameter of 4 inches across the widest part of the
snow cone and are 5 inches tall.
What value most closely represents the amount of coated paper in square inches that Mrs.
James will need to make 150 snow cone cups?
Answers
Answer:
6957 inches squared
Step-by-step explanation:
surface area of a cone = πr × (r + √[h² + r²])
h = height
r = radius = 4/2 = 2 inches
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
(3.14 x 2) x (2 + √5² + 2²) = 6.28 x 7.39 = 46.38 inches squared
the amount of coated paper needed for 1 cup is 46.38 inches squared
Amount needed for 150 cups = 46.38 x 150 = 6957
x 150
Rezolvați în mulțimea numerelor reale ecuația:
x+15−2x−12=x10
DAU COROANA!
Answers
-x10−x+3=0
x≈−1.1530188,1.06806865
y = 5х + 9
у = 3х - 2
how many solutions does this equation have ?
Answers
Answer:
One
Step-by-step explanation:
THe two equations have different slopes so they will intersect at one point.
The volume of a cylinder is 62.8 cubic meters and the radius is 2 meters.
Find the height of the cylinder. Round to the nearest meter.
Answers
Answer:
Height: 5meters
Step-by-step explanation:
Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.
HELP PLEASE ASAP!!!!!!
Answers
Answer:
a. d(x) = x
b. yes
Step-by-step explanation:
a. since c(x) = [tex]x^{2}[/tex] + 1
c(d(x)) = (d(x))^2 + 1 (replace x with d(x))
that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1
b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5
d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5
Pumpkin seeds cost $6.00 per pound at the store. Make a T-chart and graph the proportional relationship between the number of pounds of pumpkin seeds and the total cost.
p c
1
2
3
4
Answers
Answer:
Step-by-step explanation:
1-$6
2-$12
3-$18
4-$24
Hope it helps you
What decision rules are the best/worst? Be able to rank the rules from worst-to-best or best-to-worst.
Answers
Answer:
NPV, IRR, payback.
Step-by-step explanation:
The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,
-- the decision rule that is best is the NPV
-- the decision rule that is worst is payback period
The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.
The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.
And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.
Therefore, ranking the rules from best to worst is : NPV, IRR, payback.
Please help! Will give branliest for correct answer !
God Bless uu!!
Answers
Answer:
solution given:
Area of triangle ABC=½b×h=½×18×21=189km²
Area of square DEFG=l²=9²=81km²
Area of rectangle DHIJ=l×b=4×13=52km²
Total area =189+81+52=322 square kilometers.
Answer:
322 sq. km
Step-by-step explanation:
the area of fig. =
(½×18×21)+(13×4)+(9×9)
= 189+52+81
= 322 sq. km
area of isosces triangle formula
Answers
Answer:
area = height x Base/2
Step-by-step explanation:
2. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water? Write the ratio in 2 different forms in the box. (2 points)
Answers
Answer:
3/5
cups of rice over cups of water
Step-by-step explanation:
I'm sorry I only know one way.
Please help :( ill give brainlest
Answers
Answer:
I think for this one it is D.
Step-by-step explanation:
Mrs. Johnson's baby weighed exactly 8 lbs. 3 oz. when he was born. Now, two months later, he weighs exactly 10 lbs. How much weight has he gained since he was born? State your answer in ounces.
Please answer fast!!
Answers
Answer:
The baby gained 29 oz.
Step-by-step explanation:
1 pound is equal to 16 oz (ounces).
10 pounds is equal to 10 x 16 oz = 160 oz.
8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.
160 oz - 131 oz = 29 oz.
The baby gained 29 oz.
If this helps please mark as brainliest
multiply 3x3yand 4x3
Here,
Answers
Answer:
21
Step-by-step explanation:
What is the solution to the system of equation? Write the x-value or x-coordinate.
7x+2y=24
8x+2y=30
What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.
Answers
Answer:
X = 6, y=-9
Step-by-step explanation:
7x + 2y =24 equation 1
8x + 2y=30 equation 2
-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y
-7x-2y=-24 equation 1 multiplied by -1
8x+2y=30 equation 2
x+0=6 add above 2 equations
x=6
solve for y
7x + 2y=24
7(6) + 2y=24
42 + 2y =24
2y=-18
y=-9
check answers
8x + 2y=30
8(6) + 2(-9)=30
48-18=30
30=30
7x + 2y = 24
7(6)+2(-9)=24
42-18=24
24=24
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?
Answers
Answer:
1/8 or 0.125
Step-by-step explanation:
So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..
...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."
Well, oof.
Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.
To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:
Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juiceSame for the ham:
Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and waterPutting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....
..and a fruit.
Hope this helped!
If you need me to show my work, just comment me and I will attach a screenshot!
Source: N/A
Find the simple interest earned on $1500 at 7% p.a. for 5 years.
Answers
Answer:
simple interest = $525
total amount = $ 2025
In order for Tim to simplify the expression below, what step will he need to use for each variable's exponent? 6 x y^2 z^4 2 x^2 y^5 z A Divide the exponents B Multiply the exponents C Add the exponents D Subtract the exponents
Answers
Answer:
C. Add the exponents
Step-by-step explanation:
The given expression is presented as follows;
6·x·y²·z⁴·2·x²·y⁵·z
The expression can be rearranged by according to like terms as follows;
6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z
By the law of indices, we add the exponents of the like terms to simplify the expression as follows;
3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵
In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.
b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).
Answers
Answer:
ratio 80:250
Step-by-step explanation:
there will be less people than babies
A rectangular box has a base measuring a by a meters and height of b meters.
Which of the following represents the surface area of the box?
Answers
Answer:
2a(a+2b) square metres
Step-by-step explanation:
surface area of a box = 2(lw+wh+lh)
l is the length = a metres
w is the width = a mtres
h is the height = b metres
Substitute into the formula
surface area of a box = 2(a*a+ab+ab)
surface area of a box = 2(a² + 2ab)
surface area of a box = 2a(a+2b) square metres
This give sthe surface area of the box