Answer:
7.744
Step-by-step explanation:
For this problem you have to work backwards
The equation for the volume is V = (area of circle) x height
So here, to solve the area of the circle, you need to divide the 235.5 by 5
So:
235.5 = (area of circle) x 5
Area of circle is 47.1
Then, you need to find the radius of the circle by using this equation for the area of a circle
[tex]A = \pi \cdot r^{2}[/tex]
So:
47.1 = π * [tex]r^{2}[/tex]
r = 3.872
This question is asking for the diameter, which is double the radius,
2 x 3.872 = 7.744
Graph the line that represents the equation .
y = -2/3 x + 1
i really need ive tried multiple times and got it wrong every time
The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price.
Which expression represents the amount of tax that is paid on the bicycle?
ANSWER
I believe that the amount of the instant rebate is $30. X represents the price of the bike, and 0.09 is the sales tax.
So if the bike cost $100:
0.09(100) + (100-30) = 9 + 70 = $79
Although I think I would want them to tax the bike after the instant rebate and not on the original price.
If I'm wrong about the instant rebate then it would be 1.09x-30. Hope this helps.
Please help!!!
Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
(a) Calculate the length of BC
(b) Write down an expression for y in terms of x
Check the picture
Answer:
5.5
3y = x
Step-by-step explanation:
→ Find the scale factor enlargement
12 ÷ 4 = 3
→ Divide 16.5 by 3
5.5
→ Write SF in terms of x and y
3y = x
The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x
What are similarity in triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
According to question
Triangle ABC ≅ triangle PQR
where,
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
According to the similarity rule
the same ratio of corresponding sides
therefore,
[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]
(a) Calculate the length of BC
[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]
⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]
⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]
⇒ BC = 5.5 cm
(b) Write down an expression for y in terms of x
we know , [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]
⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]
⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]
⇒ [tex]y=3x[/tex]
Hence, Length of BC is 5.5 cm and equation for y = 3x
To know more about similarity in triangles here :
https://brainly.com/question/20502441
# SPJ2
A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).
Estimate the median time it will take all layers to finish this game
Based on the data, the median time it takes players to complete the game is 1148 minutes.
What is the median?It is the mathematical value that is the middle when values are sorted.
How to find the median time?Organize the values457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864
Identify the value of the middle
Considering there are 13 values, the value of the middle is the value number 7 or 1148.
Note: This question is incomplete because the data is missing, below I attached the missing section,
Learn more about median time in: https://brainly.com/question/7493103
Find the gradients of lines A and B.
Answer:
A=4
B=-2
Step-by-step explanation:
the gradient to B is a negative coz the line is sloping downwards
Answer:
m (A) = 4
m (B) = - 2
Step-by-step explanation:
choose any 2 coordinates on line A to use it in the formulae
no need to do so for line B because the y-int and x-int both are clear.
Write an addition equation or a subtraction equation (your choice!) to describe the diagram.
Answer:
-9 - 2 = -11
Step-by-step explanation:
solve pls brainliest
Answer:
y=3
Step-by-step explanation:
12y-4y=8y
8y=24
÷8. ÷8
y=3
Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y
Answer:
D) 28x + 14y
Step-by-step explanation:
7(4x + 2y)
Step 1: Distribute
(7 × 4x) + (7 × 2y)
Step 2: Simplify
28x + 2y
Answer:
[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
⇒ 7(4x+2y)
Multiply by expanding.
⇒ 7*4x=28x
⇒ 7*2y=14y
Then, rewrite the problem.
⇒ = 28x+14y
Hence, the correct answer is 28x+14y.I hope this helps you! Let me know if my answer is wrong or not.
Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9
Answer:
6 8/9 , 69/10 , 6.99 , 7.927
Step-by-step explanation:
[tex]\frac{69}{10} = 6.9[/tex]
[tex]6\frac{8}{9} = 6.8[/tex]
PLEASE HELP WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°
Answer:
x = 36
Step-by-step explanation:
Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x
Then x = 180/5 = 36
The measure of x for the given angles is 36° so option (D) will be correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The angle is the measurement of the angular distance.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.
Now,
∠EAB = 180°
∠EAF + ∠FAB = 180°
3x + 2x = 180
5x = 180
x = 36°
Hence "The measure of x for the given angles is 36°".
For more about the angle,
brainly.com/question/13954458
#SPJ2
please help? , no decimals please,please explain to see picture.
Answer:
[tex]8x\sqrt{3xy[/tex]
Step-by-step explanation:
Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.
Step-by-step explanation:
Exponential function is
[tex]y = a \times {b}^{x} [/tex]
where a is the y intercept, or the initial value.
b is the constant rate.
Since a is the y intercept, this means a is 8. So we have
[tex]y = 8 \times {b}^{x} [/tex]
Now, plug in 9 for x. 512 for y to find b.
[tex]512 = 8 \times {b}^{9} [/tex]
[tex]64 = {b}^{9} [/tex]
[tex] \sqrt[9]{64} = b[/tex]
[tex]64 {}^{ \frac{1}{9} } = b[/tex]
[tex]4 {}^{ \frac{1}{3} } = b[/tex]
[tex] \sqrt[3]{4} = b[/tex]
So the equation is
[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]
How would I reduce this to lowest terms?
Since "a" is on the top and the bottom, you can simplify that
[tex]\frac{a^2b^2}{ac}[/tex]
[tex]\frac{ab^2}{c}[/tex]
How can I know when a function is unfunctional?
Answer
When a input uses two outputs, say we have
5,6
5,8
3,4
6,2
9,1
Notice how 5 uses two instead of one meaning the function is unfunctional
Step-by-step explanation:
The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
what is the perimeter ?
Step-by-step explanation:
the outer left side is also 50 ft.
in inner (upper) left side is also 13 ft.
the bottom line is 10+20+11 = 41 ft
this is all possible because all the angles are clearly right angles (90°).
so, the perimeter is
2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft
Find area of shaded region.
area of shaded region = 1/4 of the circle area - triangle area
circle area = pi x r² = 3,14 x 2² = 12,56 m²
so 1/4 circle area = 12,56 : 4 = 3,14 cm²
and
triangle area = 1/2 x 2 x 2 = 2 m²
=> area of shaded region = 1,14 cm²
yo can i get a hand here just so i dont get it wrong
[tex]__________________________[/tex]
B. 72 IS THE QUOTIENT OF THE EXPRESSION72 is an addend in the expression and not the quotient.2. What is the measure of angley?
(2 pts.)
52°
to
Answer: the answer is 55 degrees
Step-by-step explanation:
(PLEASE HELP ASAP!! 50 POINTS! question in the image)
The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?
_____ miles
Answer:
115.2
Step-by-step explanation:
Take 345.6 miles and divide it by 3 getting your answer. Have a great day!
constitutional amendment that has significantly changed the structure of congress as written in the original constitution
You draw a rectangular picture that is 8.5 inches wide. It is 3 times as long as it is wide. What
is the area of the picture?
Answer: 216.75 in^2
Step-by-step explanation: area = 8.5 x (8.5x3)
8.5 x25.5
What is the least common multiple? 46 and 12?
Answer:
2
Step-by-step explanation:
multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)
Start with 2: 46/2 = 23, so the least common multiple is 2
Eli was swimming upstream in a river and lost a plastic bottle at bridge A. He noticed the loss after swimming 10 minutes , so immediately started to swim downstream to catch it. He caught it at bridge B, which was 1 mile away from bridge A. What was the rate of water flow in miles per hour?
Using proportions, it is found that the rate of water flow was of 6 miles per hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:
1 mile - 10 minutes
x miles - 60 minutes
Applying cross multiplication:
10x = 60
x = 60/10
x = 6.
Hence, the rate of water flow was of 6 miles per hour.
More can be learned about proportions at https://brainly.com/question/24372153
Find the measure of the missing angle
The two angles form a straight line and need to equal 180 degrees
180 - 61 = 119
The missing angle is 119 degrees
the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3
Answer:
1:5
Step-by-step explanation:
divide by 20 on both sides, 5 : 1.
what is 698 352 nearest to 1000
Answer: 698352.000
698352 rounded to the nearest 1000 is 698352.000
A video game map had a total area of 16 square meters. What are two numbers that could represent the length and the width of the map?
Answer:
4 and 4
Step-by-step explanation:
4 times 4 is 16 which would equal the area.
A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: No, the random condition is not met.