Answer:
[tex]Diameter = 11.28[/tex]cm --- (a)
[tex]Diameter =22.58[/tex] cm --- (c)
Step-by-step explanation:
Only (a) & (c) are clear enough to be solved. Others are not properly presented.
Use the following explanations of (a) & (c) to answer others.
[tex]a.\ Area = 100cm^2[/tex]
Area is calculated as:
[tex]Area = \pi r^2[/tex]
Substitute 100 for Area
[tex]100 = \pi r^2[/tex]
Take π as 3.14. So, the expression become
[tex]100 = 3.14 r^2[/tex]
Divide both sides by 3.14
[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]
[tex]\frac{100}{3.14} = r^2[/tex]
[tex]r^2 = \frac{100}{3.14}[/tex]
[tex]r^2 = 31.847133758[/tex]
Solve for r
[tex]r = \sqrt{31.847133758[/tex]
[tex]r = 5.64[/tex]
But diameter = 2 * radius
So:
[tex]Diameter = 2 * 5.64[/tex]
[tex]Diameter = 11.28[/tex]
[tex]a.\ Area = 400cm^2[/tex]
Area is calculated as:
[tex]Area = \pi r^2[/tex]
Substitute 400 for Area
[tex]400 = \pi r^2[/tex]
[tex]400 = 3.14 r^2[/tex]
Divide both sides by 3.14
[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]
[tex]\frac{400}{3.14} = r^2[/tex]
[tex]r^2 = \frac{100}{3.14}[/tex]
[tex]r^2 = 127.388535032[/tex]
Solve for r
[tex]r = \sqrt{127.388535032[/tex]
[tex]r = 11.29[/tex]
But diameter = 2 * radius
So:
[tex]Diameter = 2 * 11.29[/tex]
[tex]Diameter =22,58[/tex]
How many girls if its 4/3 and 120 students
Answer:
well for me I think
Step-by-step explanation:
4/3×120
480/3
160
Simplify the following.
-(3z)2
A. 6z
B. 9z2
C. -9z2
D. -6z2
E. 6z2
Answer:
-9x²
Step-by-Step explanation:
-(3x)²
In PEMDAS, we solve the exponent first then multiply.
-(3x)²
-(9x²)
-9x²
is 0.01 less than 0
Answer:
no
Step-by-step explanation:
No 0.01 is not less than 0
Because 0 means nothing
And
0.01 means have something
So
0.01>0
Write the equation you would use to solve for X. Then solve.
Answer:
Step-by-step explanation:
Do a calculation
PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!
Answer:
6
Step-by-step explanation:
Hoped I helped! Im Eve btw. Have a great day and consider marking this brainiest if you do thank you in advanced!
PLEASE ANSWER ANYONE! IM GIVING MOST OF MY POINTS AWAY!
if quinn put $450 in a savings account that earned 3.5 interest, how much money would quinn have after 2 years? ***(use the simple interest formula I = pet to solve this problem)***
Step-by-step explanation:
I think it is $4,821 because that is what I got as an answer. I hope this helped!
CAN SOMEONE HELP ME PLSSSS !!!!!!
Answer:B
Step-by-step explanation:
Answer:
[tex]5 {g}^{2} - 11 {g}^{} + 8[/tex]
Step-by-step explanation:
[tex]this \: is \: your \: answer \: ie \: option \: b \\ hope \: it \: helps \\ need \: thanks \: and \: brainliest...[/tex]
Jane had 3/4 of a pound of blueberries. Jane let her friend Jack eat 1/2 of the blueberries. How many pounds of blueberries did Jack eat?
Answer:
Jack eat 3/8 pounds of the blueberries.
Step-by-step explanation:
Jane had 3/4 of a pound of blueberries.
Jack eat 1/2 of the blueberries.
How many pounds of blueberries did Jack eat?
= 1/2 of 3/4 pounds of blueberries
= 1/2 × 3/4
= (1*3) / (2*4)
= 3/8 pounds
Jack eat 3/8 pounds of the blueberries.
A) Find the values of k for which the equation x 2 − 2(2k + 1)x + (k + 2) = 0 has 2 equal roots.
Answer:
1/4 and -1Step-by-step explanation:
For a quadratic equation to have 2 equal root, the discriminant value must be equal to zero.
Discriminant D = b² - 4ac = 0
Given the equation
x^2 − 2(2k + 1)x + (k + 2) = 0
From the equation, a = 1, b = -2(2k+1), c = k+2
a = 1, b = -4k - 2, c = k+2
Substitute into the discriminant formula;
Recall that: b² - 4ac = 0
(-4k - 2)²-4(1)(k+2) = 0
16k²+16k + 4 - 4k - 8 =0
16k²+12k - 4 = 0
16k²+16k - 4k - 4 = 0
16k(k+1)-4(k+1) = 0
16k - 4 = 0 and k+1 = 0
16k = 4 and k = -1
k = 4/16 and k = -1
k = 1/4 and -1
Hence the required value of k is 1/4 and -1
The price of headphones at Store A is $89.25z This is 3/4 the price of the headphones at Store B
Answer:
Price at store B = $66.94
Step-by-step explanation:
Given:
Price of headphones at Store A = $89.25
Find:
Price at store B
Computation:
Price at store B = 3/4[Price of headphones at Store A]
Price at store B = 3/4[89.25
Price at store B = $66.94
a conical tank with vertex down is 10 feet across the top and 12 feet deep. If water is flowing out of the tank at a rate of 12 cubic feet per minute, find the rate at which the water level is dropping when radius of water level is 4ft.
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
18 Which expression uses the greatest common factor and distributive property to write 18 1 24 as a product? Circle the letter of the correct answer.
Answer:
[tex]18 + 24 = 6 * 7[/tex]
Step-by-step explanation:
Given
[tex]18 + 24[/tex]
Required
Write as a product
Start by expanding the expression with a common factor
[tex]6 * 3 + 6 * 4[/tex]
Factorize:
[tex]6 ( 3 + 4)[/tex]
Express 3 + 4 as 7
[tex]6 (7)[/tex]
Convert () to multiplication
[tex]6 * 7[/tex]
Hence:
[tex]18 + 24 = 6 * 7[/tex]
Which are functions and which are not
Answer:
B, A, B
Step-by-step explanation:
round 0.0063 to 2 decimal places
Jimmy could type 80 words in a minute last week. After training, he can type 100 words now. What is the percentage increase of Jimmy's typing speed?
Answer:
25%
Step-by-step explanation:
100-80=20
80÷20=4
100÷4=25
25%
I need help I forgot how to this
AND THANK YOU
Answer:
x=-2
Step-by-step explanation:
same on both sides
yo i need help whit how i got the answer plz help me
Answer:
The answer is B.
Step-by-step explanation:
Let us first set up an equation.
(3x - 7) + (2x + 3) = 90
5x - 4 = 90
5x = 94
x = 18.8
Hope this helps!
Please mark as brainliest.
Answer:
D m<A = 49.4 deg
Step-by-step explanation:
Since the lines are perpendicular, the sum of the measures of angles A and B is 90 deg.
m<A + m<B = 90
3x - 7 + 2x + 3 = 90
5x - 4 = 90
5x = 94
x = 18.8
m<A = 3x - 7 = 3(18.8) - 7 = 56.4 - 7 = 49.4
Answer: D m<A = 49.4 deg
6x - 7 = 11 show the step as well please
Answer:
x = 3
Step-by-step explanation:
6x - 7 = 11
First, add 7 to 11 which gets you 6x = 18
Then, divide 18 by 6 to solve for x which gets you 3
This means that x = 3
(hope this helps)
Answer:
Step-by-step explanation:
6x-7+11
(add 7 to both sides, canceling out the negative 7 on the left, and resulting in a sum of 18 on the right)
6x=18
(divide both sides by 6, which should isolate x because the sixes will cancel each other out, and give you a quotient of 3 on the right side)
x=3
If we subtract half of a number from 20, we get 10, then the number equals; a) -20 b) 60 c) 20 d) -60
Answer:
Step-by-step explanation:
let the number be x
20-x/2=10
40-x=20
40-20=x
x=20
on the occasion of New year a super market announces a discount of 20
percent on every item. if they labeled price of an article is rs 840 how much should a customer pay for it
Step - 1: Calculate 20% of 840.
[tex]840 \times \frac {20}{100} = 168[/tex]
Step - 2: Subtract from 840.
[tex]840-168=672 [/tex]
Pls HELP I will give 20 points and brainliest
Area -78 cm²
perimeter-58
green=53/78
blue=23/78
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
The bird is made of 79 squares each square is 1u^2(u=unit, either cm or inch)
the area of the bird is 79u^2
the perimeter is 64u^2 you count all edges
51/79 squares are green, 51u^2
26/79 squares are blue, 26u^2
Translate the sentence into the equation and then solve the equation
Ten is the same as the quotient of n and five increased by six
Your running a fuel economy study. You find a blue car. It travels 44 1/2 miles on 1 1/4 gallons of gasoline another car is red it can travel 20 4/5 miles on 4/5 gallons of gasoline what is the unit rate for miles per gallon for each car? Which car could travel the greatest distance on one gallon of gasoline
Given:
Blue car travels [tex]44\dfrac{1}{2}[/tex] miles on [tex]1\dfrac{1}{4}[/tex] gallons of gasoline.
Red car travels [tex]20\dfrac{4}{5}[/tex] miles on [tex]\dfrac{4}{5}[/tex] gallons of gasoline.
To find:
The unit rate for miles per gallon for each car and find which car could travel the greatest distance on one gallon of gasoline.
Solution:
We know that,
[tex]\text{Unit rate}=\dfrac{\text{Total distance covered by the car}}{\text{Number of gallons of gasoline}}[/tex]
Using this formula, the unit rate of blue car is
[tex]\text{Unit rate of blue car}=\dfrac{44\dfrac{1}{2}}{1\dfrac{1}{4}}[/tex]
[tex]\text{Unit rate of blue car}=\dfrac{\dfrac{88+1}{2}}{\dfrac{4+1}{4}}[/tex]
[tex]\text{Unit rate of blue car}=\dfrac{89}{2}\times \dfrac{4}{5}[/tex]
[tex]\text{Unit rate of blue car}=\dfrac{178}{5}[/tex]
[tex]\text{Unit rate of blue car}=35.6[/tex]
Unit rate of red car is
[tex]\text{Unit rate of red car}=\dfrac{20\dfrac{4}{5}}{\dfrac{4}{5}}[/tex]
[tex]\text{Unit rate of red car}=\dfrac{\dfrac{100+4}{5}}{\dfrac{4}{5}}[/tex]
[tex]\text{Unit rate of red car}=\dfrac{104}{5}\times \dfrac{5}{4}[/tex]
[tex]\text{Unit rate of red car}=26[/tex]
Therefore, the unit rate of blue car is 35.6 miles per gallon of gasoline and unit rate of red car is 26 miles per gallon of gasoline.
Since, unit rate of blue car is greater than the red car, therefore blue car travel the greatest distance on one gallon of gasoline.
Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
9x + 22y ≥ 220
x + y ≤ 16
Step-by-step explanation:
First x is number of hours washing cars and y is number of hours tutoring.
He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.
That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.
He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.
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The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.
What is equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.
Given:
Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,
Total working hour = 16
Total money to be earned = $220
Write the equation of the above statement as shown below,
x + y = 16
9x + 22y = 220
Solve the above equation using a graph,
y = 5.85 and x = 16 - 5.85 = 10.2
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A 12,000 gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will take it to fill the entire pool
Answer:
30
Step-by-step explanation:
One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?
Answer:
pipe will empty the tank in 10.5 hours, working alone.
Step-by-step explanation:
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5*3.5*x = 1; hence x = 1%2F%287.5%2A3.5%29.
Then 2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
The faster pipe will empty the tank in 10.5 hours, working alone.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5×3.5×x = 1
7.5×3.5 x=1
Divide both sides by 7.5×3.5
x=1/ 7.5×3.5
2.5x=2.5/ 7.5×3.5
x=1/10.5
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
Hence, the faster pipe will empty the tank in 10.5 hours, working alone.
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Factorize -6m plus 9
Answer:
[tex]3(-2m + 3)[/tex]
Step-by-step explanation:
Given
[tex]-6m + 9[/tex]
Required
Factorize
Expression: [tex]-6m + 9[/tex]
Start by expressing the expression as a sum of products.
[tex]-6m = 3 * -2m[/tex] and
[tex]9 = 3 * 3[/tex]
So;
[tex]3 * -2m + 3 * 3[/tex]
Notice that constant 3 is common in both terms.
This can then be factorizes as:
[tex]3(-2m + 3)[/tex]
Hence:
[tex]-6m + 9 = 3(-2m + 3)[/tex]
Answer:
3(-2m+3)
Step-by-step explanation:
If it takes 9 3/4 yards of material to make curtains for 3 windows, how much material is needed
for 11 windows?
Answer:
You would need 35.75 or 35 3/4 yards of material
Step-by-step explanation:
You must take 9 3/4 and divide it by three so we can figure out exactly how much material is needed for just one curtain. We figure the number 3.25 or 3 1 /4. There are 11 windows total windows, and 3 1/4 per window; therefore, you must multiply the two to get your final answer which would of course be 35 and 3/4 yards of material.
I hope this helped!
Have a great day/night and good luck with your school endeavors! you're doing great!!
The diagonals of square LMNP intersect at K. Given that LK = 1, find the measure of MP.
Answer: MP = 2
========================================================
Work Shown:
LK = 1 is given
LK = KN since the diagonals of a parallelogram bisect one another. The same can be said about PK = KM.
Since all squares are a rectangle, this means LN = MP. Any rectangle has its diagonals be congruent.
So,
LN = LK+KN
LN = 1+1
LN = 2
MP = LN
MP = 2
which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive