Answer:
23.864cm
Step-by-step explanation:
volume of a cylinder is found by using the above formula pie × radius² × height = AREA
22/7 × 8 × h = 600cm³
25.143h= 600cm³
600÷25.143 = 23.864cm
Height = 23.864cm
if the value of 12.5% equals 4,000, what is the value of 87.5%?
Answer:
12.5%*7=87.5%
4000*7=28000
28000
Answer:
28,000
Step-by-step explanation:
Since 4,000 is 12.5%, you can divide 87.5/12.5 to see how many times 12.5 goes into 87.5, which is 7 times. so then since you need to find the value of how much 87.5% is, then you can multiply 4,000 by 7 since 7 is 87.5 percent, leaving us with 28000
A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.
Answer:
v= -4i-j
Step-by-step explanation:
we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.
The total cost of a pair of shoes and a shirt was $81.59. If the price of the pair of shoes was $0.91 less than the shirt, what was the price of the pair of shoes? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
$40.34
Step-by-step explanation:
x+(x+.91)=81.59
2x+.91=81.59
2x=80.68
x=40.34
Determine which polynomial is a perfect square trinomial. Explain your answer.
Group of answer choices
A. 49x2 − 28x + 16
B. 9a2 − 30a + 25
C. 25b2 − 45b − 81
D. 16x2 − 24x − 9
Answer:
The answer is B. 9a2-30a+25
Step-by-step explanation:
First of all, the second sign is going to be +, so you can toss out C and D without checking.
Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.
sqrt(49) * sqrt(16) = 7 * 4 = 28
28 * 2 = 56
56 <> 28
So toss A.
sqrt(9) * sqrt(25) = 3 * 5 = 15
15 * 2 = 30
So the answer is B
(3a - 5)^2 = 9a^2 - 30a + 25
By the way, use ^ to indicate an exponent.
What if both Sammy and Tanya each drove the same number of miles for another 14 days? How many miles would they have driven ALL TOGETHER?
Answer:
Take whatever amount of miles Sammy and Tanya drive and add them
Step-by-step explanation:
I don't have many numbers to work with so my equations are:
14 x (1 day of driving miles amount) = a
A x 2 = your answer
the area of one face of a cube is 36 square feet. what is the volume of a cube that has edges twice as long?
a. 144 feet cubed
b. 216 ft cubed
c. 1,728 ft cubed
d. 5832 ft cubed
A merchant sells goods which cost $240 for $299. What percentage is his profit of the cost price?
Answer:
24.58%
Step-by-step explanation:
Given that,
Initial cost = $240
Final cost = $299
We need to find the percentage in his profit of the cost price.
Profit = Final cost - Initial cost
= $299 - $240
= $59
Percentage,
[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]
So, the required percentage is equal to 24.58%.
What value of x makes the equation 3(x−6)−8x=−2+5(2x+1) true?
Answer:
[tex]3(x - 6) - 8x = - 2 + 5(2x + 1) \\ 3x - 18 - 8x + 2 - 10x - 5 = 0 \\ = > - 15x - 21 = 0 = > - 15x = 21 = > x = - \frac{7}{5} [/tex]
Find the value of the variables or indicated side length in each isosceles triangle.
Answer:
x = 9°
y = 39°
Step-by-step explanation:
7x = 63
x = 9°
3y + 63 = 180
3y = 117
y = 39°
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Answer:
It is the first one 1/3(p+45).
Answer:
choice 1) 1/3(p + 45)
Step-by-step explanation:
1/3p + 15 = 1/3(p + 45)
What is the value (Shown in the picture) of f(81)?
R1 663 200 in words?
Answer:
one million six hundred sixty-three thousand two hundred
Step-by-step explanation:
Find the measurements of the numbered angles in each kite.
Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
How do I solve this quadratic using the square root property
Answer: x=2−2√3,2+2√3
Step-by-step explanation:
I know how to solve this problem
For every 9 pounds of blueberries that Joey picks, she
is able to bake 6 blueberry pies. How many pounds of
blueberries does Joey use in each pie?
Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.
Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
Read more about compound interest at:
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Write 186% as a mixed number in simplest form
Answer:
Step-by-step explanation:
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https://brainly.com/question/22760250
Answer:
Is this called
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Answer:
A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti
F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer: [tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given
Function is [tex]f(x)=mx+b[/tex]
[tex]f(-2)=3[/tex]
[tex]\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)[/tex]
[tex]f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)[/tex]
from (i) and (ii) we get
[tex]m=\dfrac{-1}{3}, b=\dfrac{7}{3}[/tex]
Convert the following number from scientific notation to standard notation 9.316 * 10 ^ 12
9316000000000
hope this helps
Answer:
9.316 × 10¹² = 9 316 000 000 000
i.e nine trillion, three hundred and sixteen billion.
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ<2π
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05
So we want to solve the equation: 2sin(θ) = √3
First, we divide both sides by 2 to get:
sin(θ) = (√3)/2
Now remember the inverse sine function, it acts as follows:
Asin(sin(x)) = xsin(Asin(x)) = x
So we can apply this to both sides to get:
Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05
And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:
θ = 1.05
If you want to learn more, you can read:
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The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 50,000, what will the population be 5 years from now?
Answer:19=2x/yr..(407936.5)
Step-by-step explanation:
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Learn more about expressions here:
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Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answer:
.04%
Step-by-step explanation:
you would subtract the 20.8 by 20 to get .8, then you divide .8 by the actual wait to get .04%
What is an equivalent ratio to 3:4?
Answer:
12:16
Step-by-step explanation:
3 x 4 = 12
4 x 4 = 16
Answer:
6:8, 9:12, or 12: 16
Step-by-step explanation:
don't know how many you need but hope this helps! :))
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To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 7.4 cm and volume of 2119.5 cm3 Give the approximate answer rounded to 2 decimal places.
Step-by-step explanation:
v= 2×pi×r²×h=2119.5cm³
h=2119.5/(2×pi×r²) r=7.4cm
Answer:
12.32cm
Step-by-step explanation:
Volume of cylinder = πr²h
2119.5=π(7.4²)h
h=2119.5/54.76π
h=12.3202666868
h=12.32cm
I want to prove that (2tanx)/(sec^2x)=sin2x.
Answer:
Step-by-step explanation:
[tex]LHS = \frac{2 tan x}{Sec^{2} x}\\\\= 2tan x * \frac{1}{Sec^{2}x}\\\\= 2*\frac{Sinx }{Cos x}*Cos^{2}x\\\\= 2Sin x *Cos x\\= Sin 2x[/tex]
If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ
Answer:
35.5
Step-by-step explanation:
5x≥25 help th bewbsanks
34 in.
16 in.
22 in.
Lateral Surface Area =
in squared
Total Surface Area =
in squared
Volume =
in cubed
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = [tex]\sqrt{1156-256}[/tex]
= [tex]\sqrt{900}[/tex]
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(30)(16)[/tex]
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
