Answer:
[tex]20\:\mathrm{in}[/tex]
Step-by-step explanation:
The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.
Solving for [tex]\ell[/tex]:
[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]
*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.
Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?
5÷100=x
x=20
100-20=80
80= the total cost of the 4 pairs of mittens
12
Which number sentence is true?
A
B.
4y2 + 2 = (4y x 4y) + 2
4y2 + 2 = (4y + y) + 2
4y2 + 2 = 4(y + y) + 2
4y? + 2 = 4(y x y) + 2
с
D
Answer:
D - 4(y x y) + 2
Step-by-step explanation:
(y x y) + y2
4 x y2 = 4y2
which gives you 4y2 + 2
5x - 7 = 2x + 11
x = ?
Answer:
6
Step-by-step explanation:
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-7 + 5x + -2x = 11 + 2x + -2x
Combine like terms: 5x + -2x = 3x
-7 + 3x = 11 + 2x + -2x
Combine like terms: 2x + -2x = 0
-7 + 3x = 11 + 0
-7 + 3x = 11
Add '7' to each side of the equation.
-7 + 7 + 3x = 11 + 7
Combine like terms: -7 + 7 = 0
0 + 3x = 11 + 7
3x = 11 + 7
Combine like terms: 11 + 7 = 18
3x = 18
Divide each side by '3'.
x = 6
Simplifying
x = 6
Answer:
x=6
Step-by-step explanation:
Solve 5x−7=2x+11.
Subtract 2x from both sides.
5x−7−2x=2x+11−2x
3x−7=11
Add 7 to both sides.
3x−7+7=11+7
3x=18
Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{18}{3}[/tex]
x=6
Answer:
x=6
The list shows the scores posted by a professional golfer for his last ten rounds of golf. , Scores for 18 Holes of Golf 67 68 69 69 69 71 71 72 73 75 Question What is the median of the data set? ( NEED HELP ASAP)
Answer:
The correct answer is 70
Step-by-step explanation:
I don’t understand how to do this . Any help would be appreciated thank you .
(B)
Step-by-step explanation:
Look at the triangle with the 65° angle. Note that the 65° angle is opposite the 24-ft side and p is the length of the triangle's hypotenuse so let's use the definition of sine 65°:
sin 65 = opposite/hypotenuse
= (24 ft)/p
Solving for p,
p = (24 ft)/(sin 65°)
= 26.48 ft
A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questions were worth 3 points. The team answered a total of 10 questions and earned 65 points. How many questions did the team answer in each category?
Answer:
The answered 5 math questions, and 5 science questions.
5 * 3 = 15
5 * 10 = 50
15 + 50 = 65
Step-by-step explanation:
square root of 7396 by division method
Answer:
the square root of 7396 by long division method is 86
Help. I don't understand..
Answer:
3
Step-by-step explanation:
Answer:
75.4
Step-by-step explanation:
All angles in a triangle should equal 180, so the lil dash on K's side means angle K is the same as J
so 52.3+52.3=104.6
and 180-104.6 is 75.4
hope i helped and feel free to ask questions
PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO
A bag contains 25 red cubes, 15 green cubes, 12 blue cubes, and 8 yellow cubes. The cube is picked at random from the bag. Find each probability as a fraction is lowest terms
Answer:
25/70=red cubes
15/70=green cubes
12/70=blue cubes
8/70=yellow cubes
Step-by-step explanation:
you have to add up all the cubes together and get 70 so you have to see the possibility of getting each cube from the bag.
sorry if you get this wrong
Answer:
Step-by-step explanation: Alright so first add up how many cubes there are in total - 25 + 15 + 12+ 8 = 60. Then, each color cube is its number out of 60. So, for example, for 25 red cubes, it would be 25/60 as a fraction and that’s the probability as a fraction for the red cubes. So:
red = 25/60
green = 15/60
blue = 12/60
yellow = 8/60
then simply the fractions.
25/60 —> 5/12
15/60 —> 1/4
12/60 —> 1/5
8/60 —> 2/15
I hope that helped!
One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups
Answer:
5 cups
Step-by-step explanation:
Let us set it up as a fraction.
[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]
Step 1: Divide the given values
[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]
Step 2: Multiply the result by the other value
[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]
So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.
what is the vertex to the graph below
Answer:
[tex]y = 4 {ax}^{2} \\ by \: comparison \: with \: y = 1.5 {x}^{2} \\ 4a = 1.5 \\ a = \frac{1.5}{4} \\ a = \frac{3}{8} \\ vertex = \frac{3}{8} \: \: o r\: \: 0.375[/tex]
Answer:
(0,0)
Step-by-step explanation:
The vertex of the parabola is the minimum ( or maximum) point
Since this is an open upwards parabola, it is the minimum point
The minimum is (0,0) so that is the vertex
Write The equation or the line in slope intercept form
Answer:
y = -3x + 5
Step-by-step explanation:
slope intercept form - y = mx + b
where m = slope and b = y intercept
step 1 identify the slope
slope = change in y over change in x.
Looking at the graphed line, as y goes up 6 x goes down 2
Hence, slope (m) = 6 / - 2 or -3
Step 2: identify the y intercept ( b )
b = The y value of the coordinate where the line passes the y axis.
The line passes the y axis at point ( 0 , 5 )
The y value of that coordinate is 5
Therefore b = 5
Step 3 add everything together
y = mx + b
* replace m with -3 and b with 5 *
the equation of the line in slope intercept form is y = -3x + 5
F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed? \$
Answer:
$12
Step-by-step explanation:
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?
Given:
F(d) = 110 + 0.12d
Where,
F(d) = the fee (in dollars)
d = number of meters climbed
What is the increase in price for every 100 meters climbed?
F(d) = 110 + 0.12d
$110 is the fixed fee
0.12 is the increase in price per meter.
Increase in price per 100 meters climbed = 0.12d
= 0.12 × 100
= 12
Increase in price per 100 meters climbed = $12
If 4x−9y=−1 is a true equation, what would be the value of 6+4x−9y?
Answer:
5
Step-by-step explanation:
4x-9y= -1
so change 4x-9y to 1 in
6+(-1) = 5
Answer:
4x-9y=-1
4x=-1+9y
Step-by-step explanation:
6+4x-9y
6+(-1+9y)-9y
6-1+9y-9y
5+0
5
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
factorise completely
a). 3xy - 9x
b). x² - 4
c). 2x² + 5y + 1
Answer:
a) 3x(y-3)
b) (x-2)(X+2)
Step-by-step explanation:
See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)
Answer the picture fast and correct
Answer:
8.75
Step-by-step explanation:
( 4×8) +3 = 35/4= 8.75
Answer:
8.75
Step-by-step explanation:
I think sorry that's only i know
Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1
Please explain the steps too. Thank you. :)
Answer:
x =1 and y=-1
Step-by-step explanation:
2x - 3y=-1
x-y=1
there for ok there is a lot of steps i had to do so ill take a pic of it
and the big one is the first one
Use long division to find the quotient below.
(2x3 + x2 + 25) /(2x+5)
Answer:
x^2 -2x +5
Step-by-step explanation:
x^2 -2x +5
----------------------------------------------------------
2x + 5 / 2x^3 + x^2 + 0x + 25
-(2x^3 + 5x^2)
----------------------------
-4x^2 + 0x
-( -4x^2 - 10x )
-----------------------------------------
10x + 25
-(10x + 25)
---------------------------
0
The desired quotient is x^2 -2x +5
what is the question of 1.892 x 10^8 and 4.3 x 10^3 expressed in a scientific notation
____ x 10^—
PLS ANSWER ASAP
Can someone please help me?
The circumference of a circle is 7 π π ft. Find its diameter, in feet
Answer:
2.23
Step-by-step explanation:
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m=1 (0,3)
Step-by-step explanation:
m=1
slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1
y-intercept is at (0,3) because is where the line intersects the y-axis
I have to factor 14 and 22 to find the greatest common factor
Answer: The GCF is 2
Answer:
2
Step-by-step explanation:
Solution by Factorization:
Hope this helps u :D
What is the height of the flagpole?
simplify 5t + 8t - 12t (with explaining the steps)
Answer:
Hello There!!
Step-by-step explanation:
Combine like terms:
•5t+8t-12t
•5t+8t=13t
•13t-12t=1t
•1t=t
hope this helps,have a great day!!
~Pinky~
Answer:
T
Step-by-step explanation:
See the steps below:)
which type of parent function is f(x) = 3^x?
Answer:
c
Step-by-step explanation:
because there is a 3 in front of the root it is a cubed root since
2= square- the two is invisible but its there
3= cubed
One-third of the total number of marbles in a jar are red and blue. There are 18 red marbles and 16 blue marbles. How many marbles are in the jar?
Answer:
There are 102 marbles in the jar
Step-by-step explanation:
16+18 = 34
34 = 1/3
3×34 = total marbles
3×34 = 102
4d multiply 7d exponent is 4