The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
What is area?The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane. The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Here,
V=b*h
b=base area of prism
h=height of prism
The volume of a prism is calculated as V=Bh, where B is the base area and h is the height.
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f(x) = – 2x2 - 4x – 18 Find f(-6)
Answer:
(0,-18)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A tennis club has 560 members.
(a) The ratio
men : women: children
5:6:3
(i) Show that the club has 240 women members.
(ii) How many members are children?
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 + 3 = 14 parts
Divide number of members by 14 to find the value of one part of the ratio.
560 ÷ 14 = 40 ← value of 1 part of the ratio
(i)
number of women = 6 × 40 = 240
(ii)
number of children = 3 × 40 = 120
Lewis walked 8 ··10 of a mile. Todd walked 3 ··4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.
Complete question :
Lewis walked 8/10 of a mile. Todd walked 3/4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.
Answer:
0.6 miles
Step-by-step explanation:
Miles walked by Lewis = 8/10 miles
Miles Todd walked with Lewis = 3/4 of the way
This means : Multiplying the fraction Lewis walked with the fraction Todd walked with Lewis
8/10 * 3/4 = 24/40 = 0.6 miles
Hence, Todd walked 0.6 miles with Lewis
Grade 9 -10 help pleaseeee determine length of arc CAD
Answer: Divide the chord length by double the radius.
Find the inverse sine of the result.
Double the result of the inverse sine to get the central angle in radians.
Once you have the central angle in radians, multiply it by the radius to get the arc length.
Step-by-step explanation:
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385. How many special bagel sandwiches were sold on that saturday ?
Answer:
Number of special bagel sandwiches = 37
Step-by-step explanation:
Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.
The bagel shop sold 100 items.
[tex]x+y=100\\y=100-x[/tex]
Also, The bagel shop made $385.
[tex]7x+2y=385[/tex]
Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]
[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]
So,
Number of special bagel sandwiches = 37
What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5
Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
We have given that,
the unit rate for the proportional relationship is represented by the equation y=4/5x.
We have to determine the unit rate
What is the equation of proportionality?The equation for proportionality is y = kx, where k is the constant of proportionality.
So in y = 4/5x,
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
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(12 points)
2. Tom bought 30 shares of a company's stock for $19.72/share. He pays a broker a commission of $11 to buy and sell
stock. After one year, Tom sold all his shares, when they were worth $20.75/share.
A. How much did it cost Tom to buy the stock? Show your work.
B. What was Tom's net gain or loss? Show your work
What was Tom's annual rate of return? Show your work and round to tenth
Step-by-step explanation:
a.)Buying: total cost
Total cost= commission + (price per share× Number of of shares ) ;
Total cost= 11 + (19.72×30)= $591.6+11= $601.6
b.)Net gain or loss;
First, find cash received from sale of stock and deduct commission;
Cash from sale =20.75×30= $ 622.5
deduct commission= 622.5-11= $611.5
Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.
c.) Annual rate of return= (net gain or loss/amount paid)×100%
return= 9.9/(601.6)×100 = 1.645%
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
A ratio is a comparison of two quantities.
(2 points)
A.True
B.False
Answer:
true
Step-by-step explanation:
How much of a circle does 100 degree angle turn through
3. The table shows the average annual salary in dollars based on
the minimum level of education required for two occupations.
Occupations
Occupation Average Annual Salary Level of Education
(dollars)
Required
Accountant 71,040
Bachelor's degree
41,700
High school diploma
preparer
Тах,
Based on the average annual salaries in the table, how much
more would an accountant earn than a tax preparer over a 30-
year career?
Answer:
the answer is $880.200
Step-by-step explanation:
What is the answer to this please help
Answer:
A = 140
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 20
h = 14
Work:
A = 1/2bh
A = 1/2(20)(14)
A = 10(14)
A = 140
David got an $80 gift card to walmart. He uses the gift card to buy a dog toy for $12.99. He also wants to use the gift card to buy some candy bars. Each candy bar cost $0.99 how many candy bars can he buy
Answer:
67.68
68 rounded
Step-by-step explanation:
80-12.99=67.01
67.01 divided by 0.99=67.68 repeating
From a survey of 100 commuters about how they get to work, 38 said they drive their cars, 47 said they take the bus, 14 said they take the subway, and 1 said they ride their bicycle. If there were 4,800 commuters total. How many drove a car out of the 4,800? How many took the bus out of the 4,800? How many took the subway of the 4,800? How many rode a bicycle out of the 4,800? PLEASE HELP
1824 drove a car
2256 take a bus
672 ride the subway
48 ride a bicycle
Beatrice has a page of 8 math problems to complete over the weekend. She solved 3 problems on Saturday morning and 2 on Saturday afternoon. Write a number sentence with fractions that describes how much of the page Beatrice has completed.
Answer:
5/8
Step-by-step explanation:
Add 3+2 to get 5
5 is the numerator (the number above the line)
8 is the denominator (the number below the line)
Beatrice has done 5/8 (or 5 out of 8) math problems.
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
18.3
Step-by-step explanation:
a^2 + b^2 = c^2
We can call the unknown side x. The hypotenuse (25) is c.
Knowing this, you know that x^2 + 17^2 = 25^2.
Now simpify!
x^2 + 289 = 625
Subtract 289 from both sides:
x^2 = 338
Now take the square root of 338 which is 18.3 rounded to the nearest tenth.
Hope this helped! :)
2 + 6x > 38 How can I solved this?
Answer:
Below
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
6 x > 36
Divide each term by 6 and simplify.
x > 6
Inequality Form: x > 6
Interval Notation: ( 6 , ∞ )
Hope this helps:)
Repost! Can someone help?
Answer:
y = 7x + 3
Step-by-step explanation:
So take your lowest point (1, 10) and highest point (8, 59) and arranage them into a division problem so it looks like this 59 - 10/ 8 - 1. Once you use pemdas to reduce this divison problem it gives you 7 so them. Now you have your mx all we have to do now is find your b to do that you take your lowest y value 10 and set that equal to 7 + b. Now solve Algebraically to get b = 3.
Solve the right triangle. Round side and angle measures to the nearest tenth, if necessary.
Answer:
∠C = 28° (as you have done)
AB = 4.7
BC = 8.8
Step-by-step explanation:
cos 62° = AB/10
0.4695 = AB/10
AB = 10(0.4695) = 4.69
sin 62° = BC/10
0.8829 = BC/10
BC = 10(0.8829) = 8.83
Angle G in trapezoid FGHJ measures 135 degrees. Jasmine reflects the trapezoid over the x-axis. What is the measure of the image of angle G?
Answer:
Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)
Step-by-step explanation:
Answer:
angle g is a 2 and fghj is a 1234 ok
help pls pls hahsjsjdhd
Answer: [tex]\frac{x}{50} > 8[/tex]
Step-by-step explanation:
more than = > not ≥
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
According to the graph, about what percent of the bags weighs 49.8–50.0 lb?
55%
50%
40%
45%
Answer:
55%
Step-by-step explanation:
The equation of the line of best fit is y= 1/2x+1 how many laps can a bicycle make around the park in 23 mins
Answer:
The equation of the trend line is y= 1/2x +1. How many laps can a bicycle make around the park in 23 minutes? answer choices. 44 laps. 12 1/2 laps. 23 laps.
Step-by-step explanation:
hope this helped :b
?!??!!!!!someone help me
Answer:
its b
Step-by-step explanation:
Well the easy way to find this is to just solve the first one. the equation is
x-y>5 so you plug in the coordinate and you end up with 7-2>5 which is false. So any answer with option one is out and b is the only one that fits that description.
PLEASE HELP HURRY!!!
Answer:
C
Step-by-step explanation:
consistently goes down by 3.2 for the y value
The function y= 15.35 (1.0279)^t represents the value y(in dollars) of a share of stock after t days. Identify the initial amount and determine the growth or decay rate.
9514 1404 393
Answer:
initial amount: $15.35growth: 2.79% per dayStep-by-step explanation:
The coefficient is the initial amount: $15.35.
The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.
A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area
Answer:
The base and height of three parallelograms with the same area as the 12 square inches rectangle are
1) First parallelogram;
Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
2) Second parallelogram
Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
3) Third parallelogram
Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
Step-by-step explanation:
The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)
Let ABCD represent the vertices of the rectangle such that we have;
A(0, 0), B(4, 0), C(4, 3), and D(0, 3)
The area of the rectangle, A = The length of AB × The length of CB
The length of AB = √((4 - 0)² + (0 - 0)²) = 4
The length of CB = √((4 - 4)² + (3 - 0)²) = 3
∴ The area of the rectangle, A = 4 × 3 = 12 square units
The area of a parallelogram = Base length × Height
The base and height of three parallelograms with the same area as the 12 square inches rectangle are;
1) Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
The area of the parallelogram, A = Base × Height;
∴ A = 4 units × 3 units = 12 units²
2) Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
The area of the parallelogram, A = Base × Height;
∴ A = 6 units × 2 units = 12 units²
3) Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
The area of the parallelogram, A = Base × Height;
∴ A = 5 units × 2.5 units = 12 units².
Fill in the Blank, I just need help with the last blank
Given:
A circle with center O, LN and MP are two diameters.
To find:
The minor arcs of the given circle.
Solution:
If any arc of a circle is less than its semicircle, then the arc is called is minor arc.
Since LN and MP are two diameters, therefore they divide the circle is two equal parts. So, the arc LN and arc MP are semicircles.
If arc LN and arc MP are the semicircles, then arc LM, arc MN, arc PL and arc NP are less than the semicircle.
So, arc LM, arc MN, arc PL and arc NP are minor arcs.
Therefore, the correct option is A.
Identify a function rule for the following ordered pairs:
{(0,-4), (2,0), (3, 2), (4,4)}
A)
y= x
B)
y= X-4.
C)
y= x-1
D)
y= 2x-4