Answer: 4000 cm^3
Step-by-step explanation:
The volume of a rectangular prism is the length*width*height.
We can plug in the values given:
Volume = 20 cm * 20 cm * 10 cm
Volume = 4000 cm^3
Use the map and the provided ruler to find the actual distance between cities. The actual distance between Kalamazoo and Ann Arbor is ___ miles.
The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles.
How to estimate distances by scale factorsThe real distance is the producto of the scale factor and the in-scale distance. According to the figure, the scale factor is 50 miles per centimeters and the in-scale distance is approximately 1.25 centimeters. Then, the real distance between Kalamazoo and Ann Arbor is:
[tex]d \approx \left(50\,\frac{mi}{cm} \right)\cdot (1.25\,cm)[/tex]
[tex]d \approx 62.5\,mi[/tex]
The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles. [tex]\blacksquare[/tex]
To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/26711747
What is the measure of angle z in this figure?
Enter your answer in the box.
Answer:
137
Step-by-step explanation:
because we know that angle z shares a line or is supplementary to the angle with 43 degrees, and a straight line is always 180 degrees, so to find the other angle, you would take 180-43=137.
Answer:
137
Step-by-step explanation:
we know that angle z shares a line with the angle with 43 degrees, and a straight line is always 180 degrees, to find the other angle, you take 180-43=137.
Given: AB = CD and BC = AD.
Prove: AB l| CD and BC || AD.
I need the reasons and the statements!!
Step-by-step explanation:
AC = AC by reflexive
∆ABC = ∆CDA by SSS
Angle CAD = angle ACB by CPCTC
Since alt interior angles are congruent, BC //AD
Repeat the same process to show AB//CD
What is the standard form equation of the line shown below?
Answer:
C.
Step-by-step explanation:
14/3 = 4.7 which seems about right for the Y-intercept & the gradient is - 1/3.
Gradient = rise /run
= 1/3
Hope this helps!
Answer:
x + 3y = 14
Step-by-step explanation:
Points: (2, 4), (-1, 5)
y - y1 = (y2 - y1)/(x2 - x1) × (x - x1)
y - 4 = (5 - 4)/(-1 - 2) × (x - 2)
y - 4 = 1/(-3) × (x - 2)
-3y + 12 = x - 2
x + 3y = 14
HELP ON 17!!?!?!?!?!? PLEASEEEEEEEEEEEEEp
Answer:
See Below
Step-by-step explanation:
[tex]m \angle \: 1 = m \angle \: 4 \: \: \: (1) \\ (vertical \: angles) \\ \\ m \angle \: 7 = m \angle \: 6 \: \: \: (2) \\ (vertical \: angles) \\ \\ m \angle \: 4 + m \angle \: 6 = 180 \degree \: \: \: (3) \\ (Interior\:angles \: on \: same \: side \: of \: transversal) \\ \\ from \: equations \: (1),\: (2) \: and \: (3) \\ \\ \red { \boxed{ \bold{m \angle \: 1 + m \angle \: 7 = 180 \degree}}} \\ \\ thus \: proved[/tex]
A star is cut from 1 cm grid paper.
What is the approximate perimeter and area of the
star?
The perimeter is about
cm.
The area is about
cm2
Answer:
The answer is 16 cm
Step-by-step explanation:
If the area was 16cm^2 before, then each side was 4 cm long since each side of a square is equal, and the area for a square is the length of the sides squared. The square root of 16 is 4, so that is why the sides were 4 cm. When you make each side 1 cm shorter, they're now all 3 cm. 3^2 is 9, so the new area is 9 square centimeters.
Answer:
22 19
Step-by-step explanation:
Please help!! Algebra!!
Work Shown:
y = expression for the missing side
perimeter = 9x - 1
side1+side2+side3 = perimeter
(2x+4) + (x-2) + (y) = 9x - 1
3x+2 +y = 9x-1
y = 9x-1-3x-2
y = 6x - 3
Kevin works two part-time jobs and wants to earn a total of at least $504 per week. He earns an
average of $12 per hour delivering food and $14 per hour working retail
A.) Write the inequality representing the scenario
B.) Graph the inequality
Kevin earning at least $504 implies that he wants to earn $504 or more
The inequality representing the scenario is [tex]12x + 14y \ge 504[/tex]
How to interpret the scenario?The given parameters are:
Earnings = At least $504
Food delivering = $12 per hour
Retail = $14 per hour
Represent the number of hours delivering food with x, and the retail work with y.
So, the earning is:
Earning = 12x + 14y
The earning is at least $504.
So, we have:
[tex]12x + 14y \ge 504[/tex]
See attachment for the graph of the inequality
Read more about inequalities at:
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The number 180 is the ?
Answer:
sorry there's no explanation IN this question
Answer:
Inconclusive.
Step-by-step explanation:
This equation is not understandable due to the lack of clarity, thank you.
Find Distance (4,6) (-4,-3)
Answer:
[tex]\sqrt{145}[/tex]
Step-by-step explanation:
The distance formula states that the distance between two points [tex](a,b)[/tex] and [tex](c,d)[/tex] is [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex].
The two points we have are [tex](4,6)[/tex] and [tex](-4,-3)[/tex]. Plugging these numbers into the distance formula, we have
[tex]\sqrt{(4-(-4))^2+(6-(-3))^2[/tex].
Simplifying with order of operations, first using the distributive property, gives
[tex]\sqrt{(4+4)^2+(6+3)^2[/tex].
Squaring and adding gives
[tex]\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},[/tex]
which is the answer in simplest form. This also rounds to about 12.04.
Your teacher writes the fact below on the board.Using only mental math, will the answer be less than or greater than 5? How do you know?.
(5 × 7/8
Answer:
Less than 5
Step-by-step explanation:
The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.
Hope this helps :)
i need help !
[tex]3\sqrt{5} +5\sqrt{15}[/tex]
Answer:
26
Step-by-step explanation:
SORRY IF IM WRONG
If angles A and B are supplement, and angle B has a measurement of 22°, then angle A has a measurement of ___________ (fill in the blank)
HELP PLEASE!!!
You noticed that you used 3 gallons of gas to get to post falls and back. How many miles to the gallon did your car get?
4
Step-by-step explanation:
4 because it sounds close to me
rewrite each expression as a single power of 15
Answer:
Step-by-step explanation:
One
√15 / ∛15 = 15^(1/2 - 1/3) = 15^(1/6)
When you divide numbers that are the same base but different powers, the following rule applies
base^(numerator power - denominator power)
Two
15^(1/2 + 1/4)
15^(3/4)
When you multiply 2 numbers with the same base and different powers you raise the base by the sum of the powers.
An account has a principal of $300 and a simple interest rate of 3.9%. The table shows the simple interest earned and the new account balance for 3 and 5 years
Complete this table for the 8th year
Time (years)
3,5,8
Simple interest earned($)
35.10
58.50
(Blank)
New account balance ($)
335.10
358.50
Answer:
35.975 lakhs simple interest earned
(1.75) ^2 in expanded form
Answer:
(1.75)(1.75)
Step-by-step explanation:
[tex](1.75)^{2} =(1.75)(1.75)[/tex]
Hope this helps
Which equations represent an indirect variation relationship whit a constant of variation equal to -4? Select ALL correct answers
A) xy = -4
b) y = -4/x
c) y = x/-4
d) y = -4x
The equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4
Direct and indirect variationAn indirect variation is also known as the inverse variation
If the variable y is indirectly proportional to x , this is expressed as:
y = k/x
where
k is the variation constant
If the variation constant is -4, then;
y = -4/x
Hence the equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4
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An incident ray strikes a boundary at a 72. 5-degree angle, resulting in an angle of refraction of 39. 6 degrees. The index of refraction of the first medium is 1. 3. What is medium 1? What is medium 2?.
Refractive index is the ratio of sin(i) to sin (r). Medium 2 is sodium chloride with a refractive index of 1.54.
What is Refractive Index?A material's refractive index (sometimes called refraction index or index of refraction) is a dimensionless quantity that specifies how quickly light passes through it.
As we know that the Refractive index is the ratio of sin(i) to sin (r), and it can be represented as,
[tex]\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}[/tex]
where
i is the incident angle and
r is the refraction angle.
Now, the refractive index can be written as for the given medium can be written as,
[tex]\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}\\\\[/tex]
[tex]\rm Refractive\ Index = \dfrac{Sin(79.5)}{Sin(39.6)}=1.542[/tex]
Now, if we take the ratio of the refractive index of the two mediums, then
[tex]\rm 1.542 = \dfrac{n}{1.0003}\\\\n = 1.542 \times 1.0003\\\\n= 1.5425\ \approx 1.54[/tex]
Hence, Medium 2 is sodium chloride with a refractive index of 1.54.
Learn more about Refractive Index:
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Answer:
What is medium 1?
air
What is medium 2?
lucite
Step-by-step explanation:
Tammy learns in science class that water freezes when its temperature is
no more than 32 °F. Which number line shows all of the possible
temperatures, t, at which Tammy can set her freezer in order to make ice
cubes?
The required number line that shows all of the possible
temperatures is option A.
Inequalities and number lineFrom the given question, we have that water freezes when its temperature is no more than 32 °F
The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;
t ≤ 32.
We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible
temperatures is option A.
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PLEASE HELP THIS IS DUE IN 1 HOUR IF I DON'T PASS THIS I'LL FAIL THE CLASS!!!!
What is 1/4 x 12? I know this is kind of and easy and stuff but i'm searching it up and it keeps showing decimals no matter what I do and this is really bugging me. Can anyone help me?
Answer:
3
Step-by-step explanation:
[tex]\cfrac{1}{4}\cdot 12\implies \cfrac{1\cdot 12}{4}\implies \cfrac{12}{4}\implies \cfrac{4+4+4}{4}\implies \cfrac{4}{4}+\cfrac{4}{4}+\cfrac{4}{4}\implies 1+1+1\implies 3[/tex]
Evaluate 1 2/ 3 × 1 1 /5 Give your answer in its simplest form
Answer:
3 2/3
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
1 2/ 3 = 5/3
Last, multiply
5/3 × 1 1 /5
11/3
or
3 2/3
Hope this helps!
mark brainliest if possible!
what is this can you figure it out
First, we can see that this is a reduction because ΔXYZ is larger than its dilation, ΔX'Y'Z'.
But by how much? We can compare two sides such as XY and X'Y' to see.
-> I am going to compare sides XY and X'Y' because they are fully vertical lines that we can count without needing to use a distance formula.
-> XY is 8 units long
-> X'Y' is 4 units long
-> 8 / 4 is a scale factor of 2
Answer:This is a reduction with a scale factor of 2.
the width of a rectangle is 2 units less than the length. the area of the rectangle is 63 units.what is the length, in units, of the rectangle
Answer: 9
Step-by-step explanation:
A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which statement must be true? z37 is within 1 standard deviation of the mean. Z37 is between 1 and 2 standard deviations of the mean. Z37 is between 2 and 3 standard deviations of the mean. Z37 is more than 3 standard deviations of the mean.
The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
A supervisor finds the mean number of miles that the employees in a department live from work.
μ = 29 and σ = 3.6
Z-37
Then we have
[tex]\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22[/tex]
Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Answer:
ITS C
Step-by-step explanation:
Prove that the value of the expression
(3^5-3^4)(3^3+3^2) is divisible by 24
Answer:
243
Step-by-step explanation:
(3^5 – 3^4) (3^3 + 3^2)
= (243 – 81) (27 + 9)
= (162) (36)
= 5832
24 = 8*3
because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,
5832 is divisible by 24
You are shooting arrows at a target with three rings: there is a circle with 4 inch radius, a ring around it with 8 inch radius, and a ring around that with a 12 inch radius. If your 3 arrows will hit the target somewhere uniformly at random, what is the probability that you land exactly one shot in each of the three rings
The probability that you land exactly one shot in each of the three rings is 0.122
How to get the probability?
The probability of hitting each section will be the quotient between the area of the section and the total area of the target.
The area of the target is:
A = 3.14*(12 in)^2 = 452.16 in^2
The area for the smallest circle is:
A₁ = 3.14*(4 in)^2 = 50.24 in^2
So the probability of hitting the smallest circle is:
p₁ = A₁/A = (50.24/452.16) = 0.11
For the first ring, the area is:
A₂ = 3.14*(8in)^2 - 50.24 in^2 = 150.72 in^2
So the probability of hitting this ring is:
p₂ = (150.72)/(452.16) = 0.33
The probability of hitting the final ring is 1 minus the probabilities of hitting the two other regions, so we have:
p₃ = 1 - 0.11 - 0.33 = 0.56
The joint probability of hitting one arrow in each region, is given by the product between the individual probabilities for each region times the permutations (the permutations for 3 arrows are 3! = 3*2*1 = 6)
So the probability is:
P = 0.11*0.33*0.56*6 = 0.122
If you want to learn more about probability, you can read:
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Ricky said"he is the son of the only son of my mother. How is ricky related to the boy?
Answer:
That’s her nephew!
He could also be the father.
Step-by-step explanation:
You poured some 12% alcohol solution and some 6% alchohol solution into a mixing container. Now you have 480 grams of 7.5% alcohol solution/ Write and solve a system of eqauations to find how many grams of 12% solution and how many grams of 6% solution you poured into the mixing container.
You mixed _____ grams of 12% solution with _____ grams of 6% solution
Answer:
You mixed 364.8 grams of 12% solution with 115.2 grams of 6% solution
Step-by-step explanation:
x = 12% grams
480 -x = 6% grams
.08 ( x) + .06 ( 480-x) = .0752 (480)
.012x + 30 - .06x = 37.6
x = 364.8 gm of 12% 115.2 gm of 6%
PLEASE MARK BRAINLIEST!!!
HAVE A GREAT DAY!