Answers
Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
Step 1
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
Step 2
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
[tex]150 / 20=7.5[/tex]
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Related Questions
a die is thrown once find the probability of getting number 3
Answers
Answer:
0.5
Step-by-step explanation:
there are 6 sides the probability of getting 3 is 3/6=1/2=0.5
Answer as a fraction = 1/6
This is because there is one side labeled "3" out of 6 sides total.
If you need the decimal form, then that is approximately 1/6 = 0.167
Do 3 lines always, sometimes or never intersect at one point?
Answers
Answer:
Sometimes
Step-by-step explanation:
Three line sometimes intersect
I need help please! If m∠ABD=76°, what are m∠ABC and m∠DBC? If m∠JKH=77° then m∠NDF=__
Answers
Answer:
m<ABC = 41°
m<DBC = 35°
m<NDF = 77°
Step-by-step explanation:
Problem 1:
Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)
m<ABC + DBC = m<ABD (angle addition postulate)
[tex] (7x - 1) + (5x + 5) = 76 [/tex] (substitution)
Solve for x
[tex] 7x - 1 + 5x + 5 = 76 [/tex]
Collect like terms
[tex] 7x + 5x - 1 + 5 = 76 [/tex]
[tex] 12x + 4 = 76 [/tex]
Subtract 4 from each side
[tex] 12x + 4 - 4 = 76 - 4 [/tex]
[tex] 12x = 72 [/tex]
Divide each side by 12
[tex] x = 6 [/tex]
Find m<ABC
m<ABC = (7x - 1)
Plug in the value of x
m<ABC = 7(6) - 1 = 42 - 1 = 41°
Find m<DBC
m<DBC = (5x + 5)
Plug in the value of x
m<DBC = 5(6) + 5 = 30 + 5 = 35°
Problem 2:
<JKH and <NDF are corresponding angles. Corresponding angles are congruent.
Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).
2(x^2-7)+8=40 just answer pls
Answers
Answer:
x = +- sqrt 23
Step-by-step explanation:
positive and negative square root of 23.
Answer:
x=√ 23 and x=-√ 23
Step-by-step explanation:
2(x^2-7)+8=40
2x^2-6=40
2x^2=46
x^2=23
x=√ 23
x=-√23
Suppose that height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet. Find the average velocity between times t=3 and t=4
Answers
Given :
Height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet.
To Find :
The average velocity between times t=3 and t=4 s .
Solution :
Velocity is given by :
[tex]V=\dfrac{df}{dt}=-32t[/tex]
Now , average velocity is given by :
[tex]V_{avg}=\dfrac{V_4-V_3}{4-3}\\\\V_{avg}=\dfrac{(-32)(4)-(-32)(3)}{1}\\\\V_{avg}= -32\ feet/sec[/tex]
Hence , this is the required solution .
Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
Answers
Answer:
63°Step-by-step explanation:
If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;
∠OZQ = ∠OZP+∠PZQ.
125 = 62 + ∠PZQ.
subtract 62 from both sides;
125 - 62 = 62 + ∠PZQ -62
63 = ∠PZQ
Hence the angle m∠PZQ is 63°
If i = the square root -1, what is i^3 equal to?
Answers
Answer:
[tex] \sqrt{ - 1} [/tex]
Step-by-step explanation:
that's the correct answer
Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?
Number of Laps
33 and one-third percent
33 and one-third percent
33 and one-third percent
Answers
Answer:
36
Step-by-step explanation:
it just is just trust me its right
Answer:
36.
Step-by-step explanation:
I Took The Quiz (On Edge) and I Solved It and it happened to be 36. Hope This Helps :).
How would I solve Part B?
Answers
Answer:
D (-4, -9)
Step-by-step explanation:
midpoint formula:
(x₁ + x₂) / 2 , (y₁ + y₂) / 2
plug in C (2,7)
(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)
(2 + x₂) / 2 = -1
multiply each side by 2
2 + x₂ = -2
subtract 2 from both sides
x₂ = -4
(7 + y₂) / 2 = -1
multiply each side by 2
7 + y₂ = -2
subtract 7 from both sides
y₂ = -9
D (-4, -9)
2+3(3a+a)
What is the distribute of this?
Answers
Then multiply 3 by both 3a and a. 2+9a+3a
Then add like terms to get
2+12a
Based on the information in the statement, what is phillips net worth
Can someone help me?
Answers
Answer:
B
Step-by-step explanation:
J
Answer:
B
Step-by-step explanation:
Hope it help
What is the solution of -28 = 22 - 5x? btw this is a algebra 1 question
Answers
Answer:
x = 10
Step-by-step explanation:
-28 = 22 - 5x
5x - 28 = 22
5x = 50
x= 10
Answer:
50
Step-by-step explanation:
-28 = 22 - 5x?
22 - 50 = -28
Hope it helps :)
2. Find the product (2x + 3)(3x - 2).
Answers
Answer:
6x² + 5x - 6
Step-by-step explanation:
Given
(2x + 3)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis
= 6x² - 4x + 9x - 6 ← collect like terms
= 6x² + 5x - 6
Answer:
here the answer is 6x² + 5x - 6
Step-by-step explanation:
here is the clear explanation
2x(3x - 2) + 3(3x - 2)
= 6x² - 4x + 9x - 6
= 6x² + 5x - 6
i not sure of the answer
sorry if it is wrong
congruence transformation pls help
Answers
Answer:
X, 3, 1
Step-by-step explanation:
hello again.
Point S is the midpoint of AK. AS = 5x - 3, and AK = 9x + 9. What is the length of AS?
Answers
5x-3=0.5(9x+9)
5x-4.5x=4.5+3
0.5x=7.5
x=15
AS=5(15)-3=72
Hope this can help.
What is the opposite of 5.98
Answers
Answer:
[tex]\huge\boxed{-5.98}[/tex]
Step-by-step explanation:
The opposite of 5.98 is the negative one.
Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.
So, the opposite of 5.98 is:
=> -5.98
Hi there!
~
An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.
⇒ Since 5.98 is positive, it's opposite must be negative.
⇒ We multiply 5.98 by -1 to find the opposite:
Opposite of [tex]5.98 = -(5.98) = -5.98[/tex]
↓
∴Good luck∴
please help me :((
Which ordered pair is a solution to the system of inequalities?
Answers
Answer: D (-3,5)
Step-by-step explanation:
Using both inequalities input the values for x and y to see if it fits the inequality .
y > - 2
x + y < 4
The first coordinates are (1,3) Where 3 is the y value and 1 is the x value.
3 > -2 so this works because 3 is greater than -2
4 < 4 This does not work because 4 is not greater than 4 .
So the first point is not a solution to the systems of inequalities.
Now try the second point.
(0,4)
4 > -2 4 is greater than -2 so it works for the first inequality.
0+ 4 < 4 0 plus 4 is 4 and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.
Third point
(-2,-3)
-3 > -2 -3 is not greater than -2 so this means the points will not work for the system of inequalities.
Last point
(-3,5)
5 > -2 5 is indeed greater than -2 so it fits the first inequality now try the second one.
-3 + 5 < 4 -3 +5 is 2 and 2 is less than 4 so it does work for both inequalities so D is the answer.
XY has a length of 20 and contains a point Z in between. If XZ = -5x+1 and ZY = 3x+5, find ZY.
Answers
Answer:
10.25 or 10 and 1/4
Step-by-step explanation:
Answer:
10.25
Step-by-step explanation:
Assuming that XZ = 5x + 1 (not -5x + 1)
XY = XZ + ZY
20 = 5x + 1 + 3x + 5
20 = 8x + 6
14 = 8x
8x = 14
x = 14/8 = 1.75
ZY = 3x + 5
ZY = 3 * 1.75 + 5
ZY = 5.25 + 5
ZY = 10.25
help me with this please
Answers
Answer:
C. 7.5m
Step-by-step explanation:
[tex]8m \: up= 3m \: above \\ 12m \: up = x \: above[/tex]
Cross multiply
[tex]8x = 12 \times 3 \\ 8x = 36[/tex]
Divide both sides of the equation by 8
[tex] \frac{8x}{8} = \frac{36}{8} \\ x = 4.5 \\ 3 + 4.5 = 7.5m[/tex]
A security guard uses 20 minutes of every hour to walk outside the school, leaving the remaining
40 minutes for monitoring inside the school. Write the ratio that represents the time the
security guard spends outside to the time spent inside.
Answers
Answer:
40/20, 40:20, 40 to 20
Step-by-step explanation:
20min/1hr
40min/1hr
Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.
Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
-1 √21
2
-13 19
51-421
1119
2
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
The answer is
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Step-by-step explanation:
x² + x - 5 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 1 , b = 1 , c = - 5
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2} [/tex]We have the final answer as
[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]Hope this helps you
28mn/7n anmd 4m are these expressions equvialent
Answers
Answer:
yes; see below
Step-by-step explanation:
28mn / 7n
the n's cancel out
28m / 7
28/7 = 4
you are left with 4m
4m = 4m
Choose Yes or No to tell whether the number is a
perfect cube.
a. 27
Yes
O No
b. 100
Yes
No
C. 125
Yes
No
d. 1,000
Yes
No
Answers
Answer:
A. Yes
B. No
C. Yes
D. Yes
Find f(−2) given that f(x)=2x2−3x+7.
Answers
Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
Answer:
21
Step-by-step explanation:
So we have the function:
[tex]f(x)=2x^2-3x+7[/tex]
And we want to find f(-2).
To do so, substitute -2 for x. Thus:
[tex]f(-2)=2(-2)^2-3(-2)+7[/tex]
Square:
[tex]f(-2)=2(4)-3(-2)+7[/tex]
Multiply:
[tex]f(-2)=8+6+7[/tex]
Add:
[tex]f(-2)=21[/tex]
And we're done!
Solve 2x+1=-52x+1=−5 x=
Answers
After taxes, Alexandra's take home pay is 7 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $378 of take-home pay. Let s represent your variable.
Answers
Answer:
$540
Step-by-step explanation:
Let s be Alexandria's salary before taxes.
Let t be her take-home after taxes = $378
The question says her take-home is 7/10 of her salary before taxes
So to calculate what her salary was before taxes:
s x (7/10) = $378
We divide both sides by 7/10
S = 378 ÷ 7/10
S = 378x10/7
S = 3780/7
S = 540
Therefore from the calculations above, her salary before taxes was $540
Find 5 consecutive numbers whose sum is 65.
Answers
Answer:
11, 12, 13, 14 and 15.
Step-by-step explanation:
This is because these numbers are consecutive and add up to 65
PLEASE GIVE BRAINLIEST
Answer:
11 + 12 + 13 + 14 + 15 = 65
consecutive numbers are numbers that don't have gaps in between
Which of the following options have the same value as 20% of 45?
Answers
Answer:
[tex]B. \: \frac{1}{5} \cdot 45[/tex]
[tex]E.\: 0.2 \cdot 45[/tex]
[tex]D. \: \frac{20}{100}\cdot 45[/tex]
Step-by-step explanation:
% means /100
[tex]20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5} \\\\= \frac{1}{5} \cdot 45[/tex]
Answer:
B, D, and E.
Step-by-step explanation:
20% is 20/100, or 0.2
so, if we put 20/100 instead of 20%, we get 20/100*45
the same goes for the rest of them. (remember, 1/5 is the same as 0.2)
541.3 x 3.9 what is the answer pls write with explanation
Answers
Answer:
2111.07
Step-by-step explanation:
541.3 ×
3.9
Multiply each number by the number above it and the result will appear
Answer:
2111.07
Step-by-step explanation:
hope this will help you
A trail map has a scale of 3 inches to 2 miles. On the map, a trail is
5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles
Answers
Answer:
it is not c. that is what I know
Step-by-step explanation:
The length of the actual trail will be 3 and 1/2 miles. The correct option is C.
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-
3 inches = 2 miles
1 inch = 2 / 3 miles
5¹/₂ inches = 5¹/₂ x ( 2 / 3 )miles
5¹/₂ inches = 5.2 x ( 2 / 3 )
5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles
Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.
To know more about an expression follow
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