Answer:
x = − 9 , − 4 , 4
Step-by-step explanation:
Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length
4 units, width 2 units, and height 3
units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.
Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This
4 by 2 by 3 rectangular solid has 24 cubic units.
A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says
Altogether there are 24 cubic units. Notice that 24 is the length × width × height .
The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.
The volume, V , of any rectangular solid is the product of the length, width, and height.
V = L W H
We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base, B , is equal to length × width . B = L ⋅ W
We can substitute
B for L ⋅ W in the volume, formula to get another form of the volume formula.
The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.
We now have another version of the volume formula for rectangular solids. Let’s see how this works with the
4 × 2 × 3
rectangular solid we started with. See the image below.
Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.
What’s the volume of the prism
Answer:
384 cubic inches (in^3)
Step-by-step explanation:
volume = length * width * height
So find the volume of the large rectangle of the prism, then find the volume of the small rectangle of the prism. Add the two volumes together and the sum is your final answer.
I would appreciate Brainliest, but no worries.
Convert: 24 yards = _____ feet
72 feet
48 feet
76 feet
8 feet
Answer:
24 yards = 72 feet
Step-by-step explanation:
3 feet per yard
24 x 3 = 72
Simplify the following and leave your answer in smallest form
1 + 2 + 1
_ _ _
2 3 6
Answer:
1/59
Step-by-step explanation:
Answer:
1/59
think of it dude
The length of a rectangle is three times its width. If the perimeter is 120 inches, what is the length? The width?
Answer:
Length=45 inches, width=15 inches
Step-by-step explanation:
Length=3w
Width=w
Can be written as 3w+w+3w+w
Combine like terms to get 8w
120/8=15
w=15
Width=15 inches
Length=3(15)=45
Length=45 inches
please help find What is AB?
Answer:
oblique
Step-by-step explanation:
Any mind helping? 15 Points! :>
Answer:
(63a+54b) and (2xy+11yz)
Step-by-step explanation:
9*7a is 63a
9*6b is 54b
2x*y is 2xy
11z*y is 11yz
A dump truck is filled with 82.162 pounds of gravel. It drops off 77.219 pounds of the gravel at a construction site. How much gravel is left in the truck?
Answer:
I believe the answer is 4.943 :)
Step-by-step explanation:
82.162-77.219= 04.943
If the two triangles are similar,what is the length of the missing side?
Answer:
8 m
Step-by-step explanation:
7.5 - 1.5 = 6
2 + 6 = 8
Please help will mark brainliest!!
Find the surface area of each figure. Round to the nearest tenth if necessary.
Answer:
9 - 166.42m²
10 - 308.8cm²
Step-by-step explanation:
The first figure shown is a triangular prism
We can find the surface area using this formula
[tex]SA=bh+L(S_1+S_2+h)[/tex]
where
B = base length
H = height
L = length
S1 = base length
S2 = slant height ( base's hypotenuse )
The triangular prism has the following dimensions
Base Length = 4m
Height = 5.7m
Length = 8.6m
S1 = 4m
S2 = 7m
Having found the needed dimensions we plug them into the formula
SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )
4 * 5.7 = 22.8
4 + 7 + 5.7 = 16.7
8.6 * 16.7 = 143.62
22.8 + 143.62 = 166.42
Hence the surface area of the triangular prism is 166.42m²
The second figure shown is a pyramid
The surface area of a pyramid can be found using this formula
[tex]SA = A+\frac{1}{2} ps[/tex]
Where
A = Area of base
p = perimeter of base
s = slant height
The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself
So A = 8 * 8
8 * 8 = 64
So the area of the base (A) is equal to 64 cm^2
The perimeter of the base can easily be found by multiplying the base length by 4
So p = 4 * 8
4 * 8 = 32 so p = 32
The slant height is already given (15.3 cm)
Now that we have found everything needed we plug in the values into the formula
SA = 64 + 1/2 32 * 15.3
1/2 * 32 = 16
16 * 15.3 = 244.8
244.8 + 64 = 308.8
Hence the surface area of the pyramid is 308.8cm²
If a and b are the legs of a right triangle, and c is the hypotenuse, what is
the length of b if a = 6 and c = 18.5? (If necessary, round to the nearest
tenth)
Mary has 12 boards. She cuts the boards into pieces that are each 1/3 of a board long. How many pieces will she have?
Answer:
36
Step-by-step explanation:
if you have one board and divde it by 3 you get 3 equally sized boards
and if you cut all 12 of them you get 36 equally sized boards.
How far apart are - 7 and |-7| on a number
line?
Answer:
the answer is 7. :)
Step-by-step explanation:
Your friends house is 6 miles south and 8 miles east of your house how far is your friends house from your house
Answer:
10 miles
Step-by-step explanation:
The information given forms a right angled triangle ; hence, we can use Pythagoras rule to solve for the distance, x
Recall:
Hypotenus = sqrt(opposite ² + adjacent ²)
Hypotenus = x
Therefore,
x = sqrt(6² + 8²)
x = sqrt(36 + 64)
x = sqrt(100)
x = 10
Distance between tween my friends house and my house = 10 miles
match the range of the function f(x)=x^2+2x-1 to its domain
2
-2
3
-3
Answer:
See solutions below
Step-by-step explanation:
Match the range of the function f(x)=x^2+2x-1 to its domain
Domains of the function are the input values x i.e 2, -2, 3 and 3
corresponding f(x) for each values are the range
when x = 2
f(2)=2^2+2(2)-1
f(2) = 4 + 4 - 1
f(2) = 7
when x = -2
f(-2)=(-2)^2+2(-2)-1
f(-2) = 4 - 4 - 1
f(-2) = -1
when x = 3
f(3)=3^2+2(3)-1
f(3) = 9 + 6 - 1
f(3) = 14
when x = -3
f(-3)=(-3)^2+2(-3)-1
f(-3) = 9 -6 - 1
f(-3) = 2
How did Clay and Webster fight against Jackson’s dislike for the bank?
Answer:
Jackson's opponents planned to use the bank to defeat him in the 1832 presidential campaign. Senators Henry Clay and Daniel Webster were friends of Biddle. ... They thought that if Jackson tried to veto, or reject, the renewal of the charter, he would lose support.
Step-by-step explanation:
What is the area of a parallelogram that has a base of 1234in. and a height of 212in.?
Answer: 261,608in²
Step-by-step explanation:
A = bh
A = (1,234)(212)
A= 261,608in²
Which quadrilateral's diagonals are congruent and perpendicular bisectors of each other?
Diagonals congruent: rectangle, square, isosceles trapezoid
Perpendicular bisectors: Rhombus, Square
Find the midpoint of the segment with the following endpoints.
(5,5) and (10,8)
Answer: G
Step-by-step explanation:
Answer:
(7.5, 6.5)Step-by-step explanation:
Edg 2021
Emily's younger brother, Kenny, begged her to make him a superhero costume for Halloween this year, so of course Emily did! Emily sewed a 600-square-inch trapezoid-shaped cape with a big "K" on it. The length along the top of the cape was 24 inches, and the length along the bottom was 36 inches what is the height
Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
Please help me with 7,8,9,10,11,12
Answer:
7. 9
8. 6.7
9. 12.2
10. 7.6
11. 7.3
12. 6.3
Step-by-step explanation:
7. 8^2+4^2=x^2
64+16=x^2
80=x^2
√80=√x^2
8.9=x
Round up
9=x
8. 6^2+3^2=x^2
36+9=x^2
45=x^2
√45=√x^2
6.7=x
9. 7^2+10^2=x^2
49+100=x^2
149=x^2
√149=√x^2
12.2=x
10. 3^2+7^2=x^2
9+49=x^2
58=x^2
√58=√x^2
7.6=x
11. 7^2+2^2=x^2
49+4=x^2
53=x^2
√53=√x^2
7.28=x
Round up
7.3=x
12. 6^2+2^2=x^2
36+4=x^2
40=x^2
√40=√x^2
6.3=x
Hope this helps
Answer:
7) X = a^2 + b^2 = c^2
X = (4^2) + (8^2) = c^2
X = 80^2 = c^2
X = √80 = 8.944
X = 8.9 = c^2
8) X = a^2 + b^2 = c^2
X = (6^2) + (3^2) = c^2
X = 45^2 = c^2
X = √45 = 6.708
X = 6.7 = c^2
9) X = a^2 + b^2 = c^2
X = (7^2) + (10^2) = c^2
X = 149^2 = c^2
X = √149 = 12.206
X = 12.2 = c^2
10) X = a^2 + b^2 = c^2
X = (3^2) + (7^2) = c^2
X = 58^2 = c^2
X = √58 = 7.615
X = 7.6 = c^2
11) X = a^2 + b^2 = c^2
X = (7^2) + (2^2) = c^2
X = 53^2 = c^2
X = √53 = 7.280
X = 7.3 = c^2
12) X = a^2 + b^2 = c^2
X = (2^2) + (6^2) = c^2
X = 40^2 = c^2
X = √40 = 6.324
X = 6.3 = c^2
Step-by-step explanation:
X = a^2 + b^2 = c^2
X and c^2 = missing side
a^2 and b^2 = the two legs of the triangle (the mesurments of the sides that are given)
c^2 = hipatanouse
The formula is called Pythagromtherom (a^2 + b^2 = c^2)
Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling C
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out how many boxes of candy they need to sell.
Answer:
2.75 x (c) = 500
Step-by-step explanation:
i think this is it
If 40% of a number is 14, find 20% of that number.
Answer:
7
Step-by-step explanation:
Because half of 40% is 20%
So 14%2 = 7
I need the answers 1-4
Answer:
hope this helps you out question 4 and 3 are the same
Solve X
[tex] {16}^{ \frac{1}{5} } \times {2}^{x} = {8}^{ \frac{3}{4} } [/tex]
I got X= 9/10
am I right?
16^1/5 = 2^4/5 .. & .. 8^3/4 = 2^9/4
____________
2^4/5 × 2^x = 2^9/4
2^16/20 × 2^x = 2^45/20
2^[ ( 16/20 ) + x ] = 2^45/20
16/20 + x = 45/20
x = 45/20 - 16/20
x = 29/20
A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure below. Of the following, which is closest to the volume of the grain silo, in cubic feet?
A) 261.8
B) 785.4
C) 916.3
D) 1047.2
Answer:
A. 261.8
Step-by-step explanation:
espero ayudar sorry
Line with a slope of -3 and passes through
point (-1,7)
Answer:
y=-3x+5.5
Step-by-step explanation:
The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!
Can some one tell me what is: B X H, cause its apart of my assignment
Answer:
Step-by-step explanation:
it is about math then b=base
and h =height
The cost to place an ad in a weekly paper is $5.50 per line,i.The print set-up fee is $7.50.
Answer:
whats the question?
Step-by-step explanation:
Anyone know how to solve?
Answer:
was there more
Step-by-step explanation:
(i will edit answer)
Graph the line.
y+4= -1/3(x+5)
Answer:
graph is shown
Step-by-step explanation:
slope: -1/3
y intercept: (0,-17/3)