Step-by-step explanation:
1. volume = πr²h
= π×(5²)×9
= π×225
= 225π
= 707.1 cubic inches
2. volume = lwh
= 5.2 × 1.8 × 2
= 18.72 square feets
PLEASE HELP ON NUMBER 11 TO BE MARKED THE BRAINLIEST
Answer:
B) 1820
Step-by-step explanation:
10% = 2600 ÷ 10 = 260
30% = 260 x 3 = 780
2600 - 780 = 1820
Hope this helps! :D
Triangle ABC is split into two triangles as shown: shaded and non-shaded.
If the area of the shaded triangle is twice the area of the non-shaded triangle, find the size of angle ACB, correct to 1 decimal place.
Answer:
26.6°
Step-by-step explanation:
The area of a triangle is given by (1/2) * (base) * (height). The two triangles share the same height, so in order for the shaded triangle to have twice the area, its base must be twice that of the non-shaded triangle.
The non-shaded triangle is a right triangle with two 45° angles, so it's an isoceles right triangle with a base equal to its height.
This means that the height of the shaded triangle is 1/2 of its base. Knowing that we can get the angle of ACB with:
tan⁻¹(1/2) ≈ 0.4636476 (in radians)
Convert to decimal angle:
0.4636476 * (180/π) ≈ 26.6°
the sum of a two digit number is 10. the value of the number is 16 times the units digit. find the number
Answer:
64
Step-by-step explanation:
Hello, we can write this two digit number 'ab', a and b being positive integer between 0 and 9.
For instance , 54, a = 5 and b =4
The number can be written 10*a+b (54=5*10+4, for instance)
The sum of a two digit number is 10.
a + b = 10
The value of the number is 16 times the units digit.
10a + b = 16b <=> 10a = 16b - b = 15b
[tex]<=> a = \dfrac{15}{10}b=\dfrac{3}{2}b=\dfrac{3}{2}(10-a)=15-\dfrac{3}{2}a\\\\<=> \dfrac{2+3}{2}a = 15\\\\<=> 5a=30 <=> a = 6[/tex]
and then, b = 10 - 6 = 4.
So the solution is 64.
Thank you
Rick has 10 kids to babysit. If he gives each kid goldfish, He will have given out a total of
100 goldfish. How much goldfish did each kid get?
How do I convert this to an algebraic expression?
Answer:
10
Step-by-step explanation:
answer 10 10x10= 100 100/10=10
Why is looking at cash flow an important step in a good financial plan?
Answer:
Why is looking at cash flow an important step in a good financial plan ? At the most fundamental level, a company's ability to create value for shareholders is determined by its ability to generate positive cash flows, or more specifically, maximize long-term free cash flow
Step-by-step explanation:
Answer:
Well,
Step-by-step explanation:
First, we need it so we don't get in low finical areas and owe the government tons of money. We also need it for our houses and if you start checking your cash flow and you see its low and you want to make it higher than that helps too! But, its very good for your bank account and helps you grow ideas to your financial plan. Hopes this helps!
You go shopping for some new shoes on a sales tax free weekend (yay no taxes!). You have a 20% off coupon. If you have a $100 to spend, what is the maximum price of the shoes you can buy with the coupon? Explain how you figure out your answer.
Answer:
$125
Step-by-step explanation:
With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...
$100 = 0.80p
p = $100/0.80 = $125
The maximum price of the shoes you can buy is $125.
_____
Check
20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...
$125 -25 = $100
Answer:
$125
Step-by-step explanation:
let the maximum price be 'x'
[tex]x -( \frac{20}{100} \times x) = 100[/tex]
[tex]x - ( \frac{x}{5} ) = 100[/tex]
[tex] \frac{4x}{5} = 100[/tex]
[tex]4x = 500[/tex]
[tex]x = 125[/tex]
BRAINLIEST PLEASE! :-)Order of operations: simplify the expression shown below.
Answer:
Step-by-step explanation:
-2(36) - 18 - 8
-72 - 26
-98 is the solution
What is the value of y
Answer:
y = 5.6Step-by-step explanation:
From Thales' theorem:
[tex]\dfrac y7\ =\ \dfrac45\\\\y=\dfrac45\cdot7\\\\y = \dfrac{28}5\\\\y = 5.6[/tex]
Algebra 1 Help pls!
Answer:
t-5 = Ned's age
Step-by-step explanation:
t = teds age
Ted is 5 years older than Ned
t = Ned +5
Subtract 5 from each side
t-5 = Ned
t-5 = Ned's age
ted = 5 tears older than Ned.
ted = t years.
→ t = Ned's age + 5
→ Ned's age + 5 = t
→ Ned's age = t - 5
So,
Then, t - 5 = Ned's age.
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept? (1 point) −9 −6 6 9
Answer: The answer is y=9 i did the math twice to make sure.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
The equation is in the form:
Ax + By =C
3x + 2y = 18
y-intercept = C/B = 18/2 = 9
Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier's number?
Answer:
3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.
Hence |x| can either return +x or -x
If x is positive, the inequality expression will be x<4.
If the value of x is negative, then -x<4
From -x<4
Multiply both sides by minus sign will change the sense of the inequality sign.
-(-x) > -4
x>-4
If x is greater than -4, then -4<x.
Combining both inequality will give;
-4 < x and x<4
-4<x<4
Hence the possible values of Javier's number are integers between -4 and 4.
The values are -3, -2, -1, 0, 1, 2, 3.
The mean duration of a pregnancy is 268 days and the standard deviation is 15 days.
Answer:
If we stipulate that a baby is premature if the length of pregnancy is in the lowest 4%, find the length that separates premature babies from those who are not premature. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.
hope it helps :)
please mark it the brainliest!
What number does not belong and why?
1/2
5/3
2/10
2/5
Can someone pls help me
Answer: $1,500
Step-by-step explanation:
Let x represent the total income.
20% of the total amount = 300 --> 0.20x = 300
÷0.20 ÷0.20
x = 1500
Answer:
The total income is $1,500.
Step-by-step explanation:
$300 / 20% = $15 [ budget percent x 15 = budget amount in dollars]
Housing: 10 x 15 = $150
Food: 30 x 15 = $450
Fuel: 15 x 15 = $225
Clothing: 20 x 15 = $300
Health: 15 x 15 = $225
Miscellaneous: 10 x 15 = $150
Total Income: 150+450+225+300+225+150 = $1500
NEED HELP ASAP ALGEBRA 2
Answer:
b = sqrt(161)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + b^2 = 15^2
64 + b^2 = 225
Subtract 64 from each side
b^2 = 225-64
b^2 =161
Take the square root of each side
sqrt(b^2) = sqrt(161)
b = sqrt(161)
Find the volume of the figure below. :)
Answer:
875 ft³
Step-by-step explanation:
First, let's break it down into three different sections.
Starting with the cube on the bottom and then the rest of the Rectangular Prism.
The formula for Volume Cube V = a³
The formula for Volume of Rectangular Prism: V = lwh
From the picture we can see that the bottom is a cube with a lenght of 5 ft thus V = 5³ = 125 ft³
The second Rectangular Prism in the middle has a lenght of 20 ft (15 + 5), a width of 5 ft and a height of 5 ft. Use the formula above 20x5x5 = 500 ft³
The top Rectangular Prism has a lenght & with of 5 ft and a height of 10 ft.
So again 5x5x10 = 250 ft³
Now all we need is to add them all together:
125 + 500 + 250 = 875 ft³
Answer:
e
Step-by-step explanation:
Can someone help me please
Answer:
8.17.4 miles per 1 gallons 9. 2 miles per second.
Step-by-step explanation:
so you have yo divide 384 divided by 22 then boom.
Once again you have to divide 60 which is 1 hour (60 minutes is an hour) to the 32 miles. :)
Problem 8
Answer: Approximately 17.45 miles per gallon-----------------------
Explanation:
You divide the number of miles over the number of gallons to get this result
384/22 = 17.45
Another way you could think of it is to say
384 miles = 22 gallons
Then you divide both sides by 22 getting
17.45 miles = 1 gallon
Showing that 1 gallon of gas gets you roughly 17.45 miles
=============================================
Problem 9
Answer: Approximately 46.933 feet per second---------------------
Explanation:
Check out the attached diagram below. For the first column, I placed "32 miles" over "1 hour" to indicate "32 miles per hour". The second column is from the idea that 1 hour = 60 minutes. This helps us convert from hours to minutes. Note how the "hour" units cancel when we divide.
The third column helps us convert from minutes to seconds. We have the "minutes" units cancel out when they divide. It's important that one "minute" unit is on top, and the other is on the bottom. Finally, the last column helps us convert from miles to feet since 1 mile = 5280 feet.
Once this table formed, you multiply the numbers across the top to get 32*1*1*5280 = 168960
And you multiply everything along the bottom row: 1*60*60*1 = 3600
The last step is to divide the two results (top row over bottom row) getting
168960/3600 = 46.933 approximately
So 32 mph converts to roughly 46.933 ft per second.
Side note: the conversion method I used is called the "railroad method" or "railroad tracks method" as the table lines form what appears to be railroad tracks of sorts.
The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height. Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.
Answer: [tex]w=\dfrac{V}{lh}[/tex]
Step-by-step explanation:
Given: The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height.
We rearrange this formula by dividing ℓh both sides of the formula to get the new formula for the width of the rectangular prism, we get'
[tex]w=\dfrac{V}{lh}[/tex]
Hence, the new formula for the width of the rectangular prism. :
[tex]w=\dfrac{V}{lh}[/tex]
8x + 3y-2х -у I’m trying to combine like terms plz help me
Answer:
6x+2y just add them lol
Step-by-step explanation:
Answer:
8x + 3y - 2x - y
8x - 2x + 3y -y
6x - 3y
is your answer
brain list plzzz
Please help me 20 points
Where does the Pythagorean Identity sin2 Θ + cos2 Θ = 1 come from? Given the Cos Θ = 4/5, how would you use it to find the sine and tangent values of the angle? Explain.
Answer:
[tex]sin\theta =\pm\dfrac{4}{5}\\tan\theta =\pm\dfrac{3}{4}[/tex]
Step-by-step explanation:
Kindly refer to the attached image of a right angled [tex]\triangle ABC[/tex].
Let [tex]\angle C = \theta[/tex]
Sides BC = a
AB = c and
AC = b respectively.
To prove:
[tex]sin^2\theta+cos^2\theta =1[/tex]
Proof:
Using Sine and Cosine values:
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta =\dfrac{AB}{AC} = \dfrac{c}{b }[/tex]
[tex]cos\theta =\dfrac{Base}{Hypotenuse}\\\Rightarrow cos\theta =\dfrac{BC}{AC} = \dfrac{a}{b}[/tex]
As per Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow b^{2} = a^{2} + c^{2} .......... (1)[/tex]
Considering the LHS of [tex]sin^2\theta+cos^2\theta =1[/tex]:
[tex](\frac{c}{b})^2+(\frac{a}{b})^2\\\Rightarrow \frac{c^2+a^2}{b^2}[/tex]
Now, using equation (1):
[tex]\Rightarrow \dfrac{b^2}{b^2} = 1 = RHS[/tex]
Hence, proved that : [tex]sin^2\theta+cos^2\theta =1[/tex]
Now, we are given that:
[tex]cos\theta =\frac{4}{5}[/tex]
To find, sine and cosine values of the angle i.e. [tex]sin\theta = ?[/tex] and [tex]tan\theta = ?[/tex]
Using [tex]sin^2\theta+cos^2\theta =1[/tex]:
[tex]sin^2\theta+(\dfrac{4}{5})^2 =1\\\Rightarrow sin^2\theta = \dfrac{9}{25}\\\Rightarrow sin\theta = \pm \dfrac{3}{5}[/tex]
We know that:
[tex]tan\theta =\dfrac{sin\theta}{cos\theta}\\\Rightarrow tan\theta =\pm \dfrac{\dfrac{3}{5}}{\dfrac{4}{5}}\\\Rightarrow \bold{tan\theta =\pm \dfrac{3}{4}}[/tex]
What algebraic expression represents GK? If GK =37, what are GH and JK? 4x+2=GH and 6x-1=HK
Answer:
GK = 10x+1
GH = 16.4
HK = 20.6
Step-by-step explanation:
Given the expressions 4x+2=GH, 6x-1=HK and GK = 37, according to vector addition GH + HK = GK
Substituting the functions into the formula we will have:
GK = 4x+2 + 6x-1
collect like terms
GK = 4x+6x +2-1
GK = 10x+1
The algebraic expression that represents GK is 10x+1.
To get the value of x, since GK = 37
10x+1 = 37
10x = 37-1
10x = 36
x = 36/10
x = 3.6
Since GH =4x+2, substitute x = 3.6 into the function
GH = 4(3.6)+2
GH = 14.4+2
GH = 16.4
Also HK = 6x-1
HK = 6(3.6)-1
HK = 21.6-1
HK = 20.6
Hence the algebraic expression that represents GK is 10x + 1 and the value GH is 16.4, HK is 20.6
The 6 in the number 6,140 has a value __-- 648. times greater than the 6 in the number
Answer:
1,000 because it's in the thousands place
Step-by-step explanation:
find the slope of the line through each pair of points (1/2,0) and (0,4/7)
The line crosses (1/2,0) and (0,4/7)
Let m be the slope of this line
● m = [0-(4/7)]/[(1/2)-0)]
● m = (-4/7)/(1/2)
● m = (-4×2)/7
● m = -8/7
So the slope of this line is -8/7
What is the simplified form of the expression -(2a + 5s) + (10a - 3s)?
Select one:
a. 8a - 25s
b. 8a - 35s
c. 12a + 25s
d. 12a - 35s
Answer:
b. 8a-35s
Step-by-step explanation:
CRITICAL THINKING The weight y (in pounds) of a rainbow trout can be modeled by y = 0.000304x3, where x is the length (in inches) of the trout. a. Write a function that relates the weight y and length x of a rainbow trout when y is measured in kilograms and x is measured in centimeters. Use the fact that 1 kilogram ≈ 2.20 pounds and 1 centimeter ≈ 0.394 inch.
Answer:
[tex]y = 0.01092395604x^3[/tex]
Step-by-step explanation:
Given:
[tex]y = 0.000304x^3[/tex]
Where y is in pounds and x is in inches
Required
Represent y in kilogram and x in centimetre
[tex]y = 0.000304x^3[/tex]
The expression can be rewritten as
[tex](y\ pound) = 0.000304(x\ inch)^3[/tex]
------------------------------------------------------------------------------------------------
If [tex]0.394\ inch= 1\ cm[/tex]
Divide both by 0.394
[tex]\frac{0.394\ inch}{0.394}= \frac{1\ cm}{0.394}[/tex]
[tex]1\ inch= \frac{1\ cm}{0.394}[/tex]
[tex]1\ inch = 2.538\ cm[/tex] (Approximated)
Multiply both sides by x
[tex]x * 1\ inch = 2.538\ cm * x[/tex]
[tex]x \ inch = 2.538x\ cm[/tex]
------------------------------------------------------------------------------------------------
If [tex]2.20\ pound = 1\ kg[/tex]
Divide both by 2.20
[tex]\frac{2.20\ pound}{2.20} = \frac{1\ kg}{2.20}[/tex]
[tex]1\ pound = \frac{1\ kg}{2.20}[/tex]
[tex]1\ pound = 0.455\ kg[/tex] (Approximated)
Multiply both sides by y
[tex]y * 1\ pound = 0.454\ kg * y[/tex]
[tex]y \ pound = 0.454y\ kg[/tex]
------------------------------------------------------------------------------------------------
Substitute 0.455y kg for y pound and 2.538x cm for x inch in [tex](y\ pound) = 0.000304(x\ inch)^3[/tex]
[tex]0.454y = 0.000304(2.538x)^3[/tex]
[tex]0.454y = 0.000304(16.35x^3)[/tex] Approximated
[tex]0.454y = 0.0049704x^3[/tex]
Divide both sides by 0.455
[tex]\frac{0.455y}{0.455} = \frac{0.0049704x^3}{0.455}[/tex]
[tex]y = \frac{0.0049704x^3}{0.455}[/tex]
[tex]y = 0.01092395604x^3[/tex]
If a lifeguard earns $320 per week how much money does he earn in a hour
Answer:
about $1.90
Step-by-step explanation:
$320 per week.
There are 168 hours in a week.
$320 divided by 168 hours = about $1.90 an hour
Check: $1.90 x 168= $319.2 (rounded to $320)
calculate the mid points of the line segments below using the midpoint formula given two endpoints
(-3,3),(0,-7)
Answer:
[tex]M(-\dfrac{3}{2}, -2)[/tex]
Step-by-step explanation:
[tex]M(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})[/tex]
[tex]M(\dfrac{-3 + 0}{2}, \dfrac{3 + (-7)}{2}) =[/tex]
[tex]= M(\dfrac{-3}{2}, \dfrac{-4}{2})[/tex]
[tex]= M(-\dfrac{3}{2}, -2)[/tex]
Make T the subject of the relation I=PRT/100
Answer:
T = 100I/PR
Step-by-step explanation:
1) Original: I = PRT/100
2) Multiply both sides by 100: 100I = PRT
3) Divide both sides by PR: 100I/PR = T
Answer:
gr uf
Step-by-step explanation:
HELP!!!! 25 POINTS!!!! EXTREMELY EASY!!!!PLEASE HELP MEEEEE!!!!!!!
When finding the x-intercepts and relating them to graph....does the placement of the x-intercepts matter in the problem????
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. Yes it also matter because x axis go sideways and the y axis goes up and down. Hope this helps
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
Step-by-step explanation:
HELP WILL MARK AS BRAINLIEST
Answer:
37.68cm (i used 3.14 for pi)