Answer:
153.86 mm²
Step-by-step explanation:
Radius of circle = diameter/2 = 14/2 = 7mm
Area of circle = πr² = (3.14)(7mm)²
= 3.14 x 49 mm²
= 153.86 mm²
The total value of nickels and dimes in a coin bank is $4.60. There are 10 more dimes than nickels in the bank. How many dimes are in the bank?
2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4
helpppp plz plzzzzzzz
Answer:
It's C!
Step-by-step explanation:
4-2=2
8/2=4
Hope this helps and don't forget to follow!
Answer:
c.4
Step-by-step explanation:
plug in 2
=8/ 4-2
=8/2
=4
The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The expression 84 pi over 3 finds the volume of the cone.
The expression 84 pi over 2 finds the volume of the cone.
The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
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I put the picture attached
Answer:
120 square inches
Step-by-step explanation:
I need the answer in under 34 min
Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
Write how you would explain the following problem using the order of operations to a 5th grader?
2 + (9-6) x 5 / 3
(PLS make a big paragraph thanks)
Answer:
PEMDAS
Step-by-step explanation:
Use PEMDAS. Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.
Start with your parenthesis, which is (9-6). This comes out to 3. Your equation should now look like 2+(3)x5/3
Then, go to your exponents. Since we don't have any, we skip this step.
Now, we look from left to right for any multiplication symbols or division symbols. Finding (3)x5, this comes out to 15. Now rewrite your equation, if should look like this: 2+15/3.
Repeat the last step and find your division symbol, and find this 15/3. That comes out to 5.
The last step is finding addition or subtraction symbols, and since there's only two numbers left we can just solve the problem from here.
2+5=7.
Micah is buying gravel for a rock garden that will be edged by a circular metal border. She will use 110 feet of metal edging for the border. What is the area of the garden? Use 3.14 for Pi
The equation C = 2 r is used to determine the circumference of a circle with radius r. Describe how you can substitute and simplify this equation to help solve the problem.
Answer:
9,498.5 ft²
Step-by-step explanation:
110 ft = circumference (C)
C=2r
110=2r
110/2=2r/2
55=r
Area of a circle (A) = πr²
Use 3.14 for π
A=3.14(55)²
A=3.14(3025)
A=9,498.5
The area of the garden is 9,498.5 ft²
What is the green dashed line called?
Answer:
The line (or "axis") of symmetry is the y-axis, also known as the line x = 0. This line is marked green in the picture. The graph is said to be "symmetric about the y-axis", and this line of symmetry is also called the "axis of symmetry" for the parabola.
The equation of the function g(x), after the translation, is given as follows: g(x) = (x + 2)² + 4.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).
Right a units: f(x - a).
Up a units: f(x) + a.
Down a units: f(x) - a.
The parent function for this problem is given as follows:
f(x) = x².
For this problem, the parent function was moved:
2 units left, hence g(x) = f(x + 2).
4 units up, hence g(x) = f(x + 2) + 4.
Hence the function g(x) is defined as follows:
g(x) = (x + 2)² + 4.
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complete question:
G(x)
15
-10
5
The quadratic function. f(x) = x², is the solid orange line. What is the equation
of g(x), the green dashed line?
Simplify:-12(5/6a-7/8)+1/4(3 1/2a-1 2/5)
Answer:
−49/8a+99/10
( I hope this was helpful ) >;D
Can you help me (There's a photo) you have to do grater then and = to
Answer:
Top left: > Top right: > Bottom left: < Bottom right: >
Step-by-step explanation:
Answer:
-0.25 > -0.3
9.999 > 9.975
3(5/8) < 30/8
10(2/3) < 61/6
8 1/3 times 4 1/5 = ?
Answer:
35
Step-by-step explanation:
I believe the answer is 35.
Step-by-step explanation:If I am incorrect please correct me but this is what I got. Also, you never told me if it's in simplified form or in any form it should be in. Hope this somewhat helped and have a good one!
✍(◔◡◔)Please I need help I’m sorry for bothering
Answer:
A
Step-by-step explanation:
What is the slope of a line that passes through the points (-3,-6) and (8, 16) ?
Answer:
slope = 2
Step-by-step explanation:
here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips
Andrew only has 300g of plain flour.
How much of the other ingredients should he use?
Answer: 150 grams of butter
135 grams of caster sugar
15 grams chocolate chips
300 grams of flour
Step-by-step explanation:
if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.
in parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
Answer:
Step-by-step explanation:
BC=AD
3x-1=x+5
3x-x=5+1
2x=6
x=3
BC=3×3-1=8
CD=2x=2×3=6
perimeter=2(8+6)=2(14)=28
HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute
The machine can make __ soda bottles each minute.
Answer:
Step-by-step explanation:
1
make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.Find the area. Simplify your answer.
x+1
2x
Answer:
[tex]A = x^{2} + x[/tex]
Step-by-step explanation:
Area of a triangle = bh/2
Your base is 2x and the height is x + 1
So, A = (2x)(x + 1)/2
A = [tex]x^{2} + x[/tex]
c. Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour. After the
raise, how much will Tyler's brother make per hour?
Answer:
The answer is $12.60
What is the area of the shaded triangle
MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
hii please help i’ll give brainliest
A pair of sneakers that normally cost $120 have their price reduced by 25%.
What is the sale price of the sneakers?
The sales price of the sneakers is $
Answer:
$90.00
Step-by-step explanation:
120.00 x 25% = 30.00
120.00 - 30.00 = $90.00
Write an equation and slope intercept form of the line that passes through the given points
Answer:
y = 2x+5
Step-by-step explanation:
The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?
Answer:
No
Step-by-step explanation:
Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.
hope this helps!!!
Solve the equation 18+a= -50
Answer:
-68
Step-by-step explanation:
Subtract 18 from each side of the equation.
a + 18 = -50
-18 -18
Turn -50 - 18 into -50 + (-18) because you need to add the opposite.
a = -50 + (-18)
a = 68
Russel randomly surveys seventh graders in his school and finds that 6 of 30 attend summer camp. if there are 200 seventh graders in his school, about how many are expected to attend summer camp.
40 seventh-graders are expected to attend summer camp.
Because
6/30=x/200
6/30= 6 divided by 30= 0.2
0.2x200=40
Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9
Answer:
y = (x - 3)^2
Step-by-step explanation:
The original function is y = x^2. Its vertex is at (0, 0). Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.
In this particular case we have y = x^2 and are translating the graph 3 units to the right. Thus, the original function y = x^2 becomes y = (x - 3)^2.
A circle with a radius of r units is dilated by a scale factor of 7 to create a new circle. Which statement about the area of the new circle is true?
A. The area of the new circle is 7 times the area of the original circle.
B. The area of the new circle is 14 times the area of the original circle.
C. The area of the new circle is 49 times the area of the original circle.
D. The area of the new circle is squared root 7 times the area of the original circle.
Answer:
A
Step-by-step explanation:
The scale factor can be defined as the ratio of new dimension of an object after scaling to the original dimension. The are of the new circle is 49 times the area of the original circle. The correct answer is option C.
What is Scaling factor ?Scaling factor is a conversion factor used to change the size of a figure without changing its shape. When the size of a figure is increased, it called scaled up and when it decreases it is called as scaled down.
Given that, Scale factor of circle = 7.
Since, the scale factor of a circle is the ratio of new radius to original radius.
The new radius of circle can be written as,
r' = 7r
Thus, the area of new circle is π × (r')^2= π × (49r^2).
Hence, the area of new circle is 49 times the original circle.
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true or false every trapezoid is a quadrilateral
Answer:
True
Step-by-step explanation:
It has four sides, quadrilaterals are four sided
Answer:
its ture bc it is trapezoid is a quadrilaterals