A bookcase is 8 feet high, 1 foot deep, and 2 feet wide. How much space (in volume) does the bookcase take up?
Answer:
The volume of the bookcase is 16 cubic feet.
Step-by-step explanation:
Hey there!
We are given three values (in feet) and asked to find the volume of a bookcase:
8 feet high1 foot deep2 feet wideWe want to find the volume. In order to do this, we need to define:
the formula for finding the volume of a rectangular prismwhat values our data fits withTherefore, the formula for volume is: [tex]v = l \times w \times h[/tex]
[tex]v[/tex] - volume[tex]l[/tex] - length[tex]w[/tex] - width[tex]h[/tex] - heightFinally, we need to assign each number value to either the length, the width, or the height.
Wide is a synonym for width, so our width is 2 feet.
Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).
High would refer to how tall something is, so the height is 8 feet.
Now, let's plug in our values and solve for [tex]v[/tex].
[tex]v = l \times w \times h[/tex][tex]v = 1 \times 2 \times 8[/tex][tex]v = (1 \times 2) \times 8[/tex][tex]v = 2 \times 8[/tex][tex]v = \text{16 cubic feet}[/tex]It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.
Therefore, the volume of the bookcase is 16 cubic feet.
Hey, I need help!
What is 56/2?
Answer:
28
Step-by-step explanation:
Answer:
56 divided by 2 would be 28.
Step-by-step explanation:
[tex]\frac{56}{2}[/tex] is the same thing as half of 56, since two 28s added together is 56, which means [tex]\frac{56}{2}[/tex] is equivalent to 28.
(Picture on top) Lines XU and WY intersect at point A based on the diagram, determine whether each statement is true. Select True or False for each statement. Please no files!
Answer:
didbkbbasbm jdndjd kkkfnms kkkcd
please help me, i will mark brainliest
Answer:
B, C, E
Step-by-step explanation:
Answer:
C and B
Step-by-step explanation:
The sign means greater than or equal to. -4 is greater than -5, so check that, 5 is definitely greater than -5, so check that.
20 POINTS please help
Which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
A) 1:15
B) 3.15
C.4:15
D) 8:15
Answer:
D) 8:15
The first thing you do is add up all the apples which equals 15. And then you see how many red apples there are which is 8. Then you write your ratio which is 8:15.
Your answer is D) 8:15
Question
What is the net signed area between f(x) = 2x + 3 and the x-axis over the interval (-4,2]? Do not include any units in
your answer
Provide your answer below:
Answer:
Step-by-step explanation:
2 units squared.
Explanation:
You can go about this in two ways: Algebra and Integrals.
Algebra
y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.
graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}
You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.
=
2
⋅
(
1
2
⋅
b
⋅
h
)
=
2
⋅
(
1
2
⋅
1
⋅
2
)
=
2
square units
Integrals
An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.
finding the X intercept (that is where y = 0)
2
x
−
6
=
0
x
=
3
when
y
=
0
When
x
<
3
, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4
=
−
∫
3
2
2
x
−
6
d
x
+
∫
4
3
2
x
−
6
d
x
=
−
[
x
2
−
6
x
]
3
2
+
[
x
2
−
6
x
]
4
3
=
−
[
9
−
18
−
4
+
12
]
+
[
16
−
24
−
9
+
18
]
=
−
[
−
1
]
+
[
1
]
=
2
units squared. And Tada, that is the same as the other answer!
Using integrals, it is found that the area of the function is of 6 squared units.
The area of a function f(x) over an interval [a,b] is given by:
[tex]A = \int_{a}^{b} f(x) dx[/tex]
In this problem:
Interval (-4, 2), thus [tex]a = -4, b = 2[/tex].Function [tex]f(x) = 2x + 3[/tex], thus:[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]
[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]
[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]
[tex]A = 4 + 6 - 4[/tex]
[tex]A = 6[/tex]
The area is of 6 squared units.
A similar problem is given at https://brainly.com/question/20733870
Please help me answer number 2!!
Answer:
Less likely
Step-by-step explanation:
The only prime numbers on the circle are 2 and 7, meaning they take up 3/8 spaces which is less than half.
Find the area of the SHAPE™
Answer:
132
Step-by-step explanation:
28(top rectangle) + 56 (middle rectangle)+ 48 ( which is the combined area of the two triangles) = 132
Solve this for me (geometry)
Given:
The figure of triangle GHI and a circle M inscribed in the triangle.
To find:
The perimeter of the triangle.
Solution:
We know that the lengths of the tangent on a circle from same exterior point are always equal.
[tex]JH=HK[/tex] (Tangent from point H)
[tex]6x-11=2x+9[/tex]
[tex]6x-2x=11+9[/tex]
[tex]4x=20[/tex]
Divide both sides by 4.
[tex]x=\dfrac{20}{4}[/tex]
[tex]x=5[/tex]
Now,
[tex]JH=6x-11[/tex]
[tex]JH=6(5)-11[/tex]
[tex]JH=30-11[/tex]
[tex]JH=19[/tex]
In the same way,
[tex]GJ=GL[/tex] (Tangent from point H)
[tex]IK=IL[/tex] (Tangent from point H)
From the figure, it is clear that,
[tex]IL=GI-GL[/tex]
[tex]IL=40-GJ[/tex]
[tex]IL=40-23[/tex]
[tex]IL=17[/tex]
The perimeter of the triangle GHI is:
[tex]Perimeter=GH+HI+GI[/tex]
[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]
[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]
[tex]Perimeter=118[/tex]
Therefore, the perimeter of the triangle GHI is 118 units.
pleaseeeehelppppppppp
Answer:
x = 72.5
Step-by-step explanation:
half of the angle given, so 72.5 degrees.
use the trend line equation to determine when gas would cost about $4 per gallon
Answer:2045
Step-by-step explanation:
Answer:
2045
Step-by-step explanation:
The second angle of a triangle is twice as large as the first. The measure of
the third angle is 20 degrees greater than the first. How large are the angles?
A traoezoid has basses of 36 1/2 noches and 13 1/2 noches and a height of 10 1/2 inches.What is the área of the trapezoid in square inches?
Answer:
Area of trapezoid = 262.5 inches²
Step-by-step explanation:
Given:
Larger Base = [tex]36\frac{1}{2}[/tex] inches = 36.5 inches
Smaller Base = [tex]13\frac{1}{2}[/tex] inches = 13.5 inches
Height of trapezoid = [tex]10\frac{1}{2}[/tex] inches = 10.5 inches
Find:
Area of trapezoid
Computation:
Area of trapezoid = [Sum of parallel line / 2]Height
Area of trapezoid = [(a+b) / 2]h
Area of trapezoid = [(36.5 + 13.5) / 2]10.5
Area of trapezoid = [(50) / 2]10.5
Area of trapezoid = [25]10.5
Area of trapezoid = 262.5 inches²
What is the opposite of - 1/4 ?
Answer:
1/4
Step-by-step explanation:
Solve for x and y: x= 5 – 2y 4y = 15 - 2x 0 x = 5, y = 0
Answer:
i think there is no solution
Sales Fadil sells televisions. He earns a fixed amount for each television and an additional $25 if
the buyer gets an extended warranty. If Fadil sells 17 televisions with extended warranties, he
earns $1,785. How much is the fixed amount Fadil earns for each television?
Answer:
$80
Step-by-step explanation:
Which number is equivalent to (6^2)^0
Answer:
B
Step-by-step explanation:
Anything to the 0 power is 1
The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the shortest and longest sides. Find the lengths of the three sides.
Answer:
since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.
so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.
check Add them up it is 51cms which is the perimeter and the consecutive odd numbers
Which is the solution set of the inequality 15y-9<36?
9
Oy>
9
OY 5
OV<3
Oy>3
Answer:
15y>36+9
15y>45
y>45^15
y>3
If the volume of a solid cone is 440cm3 and
its perpendicular height is 14cm. Determine
its base diameter to the nearest whole
number
O a. 5.5cm
b. 12cm
С. 6cm
d. 11cm
Answer:
11
Step-by-step explanation:
1/3 nr^2h = volume of a cone
1/3 x 22/7 x 14 x r^2 = 440
r^2 = 440 x 3 x 7/22 x 1/14
r^2 = 30
r = 30
r = 5
The base diameter to the nearest whole number is 11cm
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V =1/3πr²h
Given the folllowing parameters
V = 440cm^3
h = 14cm
Substitute the given parameters
440 = 1/3(22/7) * 14r²
440 = 44/3 * r²
10 = r²/3
r² = 30
r = 5.5cm
d = 11cm
Hence the base diameter to the nearest whole number is 11cm
LEarn more on volume of cone here; https://brainly.com/question/1082469
In the equation, x2 −3x + 4 = 0, what is the value of "b"?
1
-3
4
0
A portfolio is efficient if which of the following is true?
Answer:
In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.
What is the value of x in the equation -5/8x=-160
Answer: x=256
Step-by-step explanation: Hope this help :D
Let's solve your equation step-by-step.
−5/8x
=−160
Step 1: Multiply both sides by 8/(-5).
(8/-5)*(−5/8x)=(8/−5)*(−160)
X=256
Please help i'll give brainliest
For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?
1/2 mile
1/8 mile
800 feet
300 feet
Answer:
300'
Step-by-step explanation:
Answer:
1/8 mile
Step-by-step explanation:
Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer
Could someone verify this answer if you don’t know the answer don’t say anything I don’t want to download the answer if you can’t tell me don’t say anything the question says find the area of the compound figure
Answer:
288
Step-by-step explanation:
8 x 3 x 3 x 6 = 288
find the side lengths ! help pls
(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
Six friends arrive at a party their arrival increases the number of people at the party by 20% in total how many people are now at the party
Answer:
Step-by-step explanation:
find the total surface area of this square based pyramid.
125
Step-by-step explanation:
Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.
The base of the pyramid is a square of side-length 5, and its area is 5×5=25
The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×=25.
The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125
HELP MEEEEEEE PLEASE
Answer:
choice 2) 2/9h
Step-by-step explanation:
It has to be a fraction so you would cross out the first answer.
-4x =14 please explane
Answer:
x=-3.5
Step-by-step explanation:
14/-4 = -3.5
Answer:
If you're asking how -4x could equal 14, here's how:
Substitute -3.4 for x, so -4x-3.5, which would equal 14.