Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3
Answer:
(7x +6y)(49x^2 -42xy +36y^2)
Step-by-step explanation:
The factoring of the sum of cubes is a special form:
a³ +b³ = (a +b)(a² -ab +b²)
We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.
Identifying the cubesFrom our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...
343x³ +216y³ = (7x)³ +(6y)³
ApplicationOur factoring pattern above can be used with ...
a = 7xb = 6ySubstituting these values, we have ...
343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)
343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)
What is the y-intercept of the line perpendicular to the line y = -3/4 x + 5 that includes the point (-3, -3)?
Answer choices =
-3/4
1
7
-21/4
Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
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Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, makes a stop at the halfway point, Panama, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the location of Panama on Kassy’s map. Enter as a coordinate with no spaces.
Answer:
(6,12)
Step-by-step explanation:
Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.
identify the parts of the expression then write a word expression for the numerical or algebraic expression.
Please explain and only answer if you are completly sure about your answer.
Due in 20 minutes!!!!
Answer:
the answer is-
Step-by-step explanation:
b added to 12 times x.
the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc
A box of 120 crayons contains variations of three
colors: blue, red, and purple. The ratio of blue
crayons to red crayons is 11:2, and the ratio of the
number of red crayons to purple crayons is 2:7. If
all of the purple crayons were removed, how many
crayons would be left in the box?
E. 16
F. 42
G. 78
H. 113
Answer:
G. 78
Step-by-step explanation:
Blue to red=11:2
Red to purple=2:7
Total crayons =120
Total ratio
=11+2+7
=20
Blue=11
Red=2
Purple=7
Purple crayons
=Ratio of purple /Total ratio× Total crayons
=7/20×120
=42
If all the purple crayons were removed
=Total crayons - purple crayons
=120-42
=78
a triangle has one side of length 12 and another of length 7 which of the following are possible lengths of the third side
Answer:
Step-by-step explanation:
The first rule is that 2 of the sides must be bigger than the third.
4 and 7 makes 11 which is not bigger than 12, so A is not an answer.
5 + 7 = 12 That does not exceed 12, so the second one is not an answer
12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.
If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.
So only 12 works.
In short, 5<x<19 will create a triangle. Anything outside that inequality will not.
Answer:
7 and 12
Step-by-step explanation:
using triangle inequality theorem
if triangle has side a,b, and c, then all of them will trus if fulfill this inequality
a+b > c
a+c > b
b+c > a
now take a = 7 and b = 12
so the number c which can make triangle with a and b is
7 and 12
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
Answer: 8
Step-by-step explanation:
there is no table
there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1
10 black cards are removed from the pack
find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form
Please show your working out
Step-by-step explanation:
Ratio Red to Black is 1:1
Therefore, Red and Black has 25 cards respectively
If 10B cards are removed, then 25-10=15B cards left
Current ratio Red to Black is 25:15 and simplest form is 5:3
What is the slope of the line represented by the equation y-6 = 5(x - 2)?
Answer & Step-by-step explanation:
The equation for slope-intercept form is y=mx+b
In order to solve this problem, we can just solve the equation to find y.
y - 6 = 5(x - 2)
Distribute 5 to (x - 2)
y - 6 = 5x - 10
Add 6 to both sides of the equation.
y = 5x - 4
So, the slope of the line is 5.
The required slope of the line m = 5
What is the slope of the line represented by the equation y-6 = 5(x - 2)
What is line?
line, is curve showing the shortest distance between 2 points.
Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5
Thus, The required slope of the line m = 5
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Please I need help with this tooo.....will give 5 start and brainlist....
One leg of a right triangle is 21 inches longer than the other leg, and the hypotenuse is 39 inches.
Find the lengths of the legs of the triangle
Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4
Answer:
[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Step-by-step explanation:
[tex]f(x)=3x^2 + 2x + 4[/tex]
[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]
[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Answer:
f(2) = 20
f(a+h) = 3a²+6ah+3h²+2a+2h+4
Step-by-step explanation:
f(x) = [tex]3x^2+2x+4[/tex]
A) Putting x =2
=> f(2) = 3(2)²+2(2)+4
=> f(2) = 12+4+4
=> f(2) = 20
B) Putting x = a+h
=> f(a+h) = 3(a+h)²+2(a+h)+4
=> f(a+h) = 3a²+6ah+3h²+2a+2h+4
A pair of shoes usually sells for $65. If the shoes are 30% off, and sales tax is 6%, what is the total price of the shoes, including tax?
A. $44.79
B.
$49.40
C
$51.68
D
$48.23
Answer:
Step-by-step explanation:
Since 20% is taken off, 100%-20% or 80% remains.
80% of $65 is 0.80�$65 or $52. That's the price without tax.
The tax on $52 is 0.06�$52 or $3.12,
$52 + $3.12 = $55.12
Answer:
d
Step-by-step explanation:
What is the area of a circle that has a radius of 16.25? USE 3.14 FOR PI!!!!
DO NOT ROUND.
Answer:
730.61664
Step-by-step explanation:
area equals πr2=π·15.252≈730.61664
Answer:
829.15625 units squared
Step-by-step explanation:
The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.
Hello can someone please help me ASAP
Answer:
A.
Step-by-step explanation:
[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]
Answer:
A
Step-by-step explanation:
Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared
which equation represents the function on the graph?
Answer:
the answer would be c the
third option
Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?
Answer:
No, it is not.
Step-by-step explanation:
comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,
6 - 2 = 4
So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.
Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction
Answer:
s = 5/4 pi
Step-by-step explanation:
A = 25π cm2
Theta = pi/4
A = pi r^2 = 25 pi
Divide each side by pi
r^2 = 25
Taking the square root of each side
sqrt(r^2) = sqrt(25)
r = 5
The arc length is
s = r * theta where theta is in radians
s = 5 * pi/4
s = 5/4 pi
Work out the value of a
Answer:
a=30
Step-by-step explanation:
I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
The value of a is 30 degree
hope it helps..
Good luck on your assignment
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive. Somebody please Help!
Answer:
108/9 = 12
Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12
I NEED HELP ASAP:(
Use the commutative or associative property to simplify the expression.
-1/7(9x)
Answer:
i think it is -9x/7
Step-by-step explanation:
If the circumference of a circle is 484 cm, what is the area and diameter
Answer:
[tex]18641.50 \: cm^2\\154.06 \: cm[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]484=\pi d[/tex]
[tex]\frac{484}{\pi } =d[/tex]
[tex]d=154.06198[/tex]
[tex]A=\pi r^2[/tex]
[tex]\pi (\frac{d}{2}) ^2[/tex]
[tex]\pi (\frac{154.06198}{2}) ^2[/tex]
[tex]A=18641.49898[/tex]
Answer:
The area of the circle is approximately 18641.5 because you need to round to the nearest place value. The diameter of the circle is approximately 154.06.
Step-by-step explanation:
Area=πr2
Circumference=2πr
Solving for Area
Area= C²/4 π = 484²/4·π ≈ 18641.50017
———————————————————————————
Circumference =2πr
Diameter= πr
Solving for Diameter
Diameter= C/π = 484/π≈ 154.06198
|x|-13=-3 solve the equation
Answer:
[tex]x=10\\x=-10[/tex]
Step-by-step explanation:
[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]
[tex]x=10\\x=-10[/tex]
Answer:
[tex]x=\pm 10[/tex]
Step-by-step explanation:
[tex]\mid x \mid -13=-3[/tex]
Add 13 to both sides:
[tex]\mid x \mid=10[/tex]
[tex]x=\pm 10[/tex]
Hope this helps!
The measure of Angle 1 is 95 degrees. Which of the following is NOT a true
statement about the angles shown below?*
Answer:
The second choice. m < 4 = 85 degrees.
Step-by-step explanation:
m < 4 = 180 - m < 1
= 180 - 95
= 85 degrees.
The measure of angle 4 is 85 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that measure of Angle 1 is 95 degrees.
Therefore, we can see that angle 4 and Angle 1 makes linear pair so.
Angle 4 = 180 - Angle 1
= 180 - 95
= 85 degrees.
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Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?
Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
b = 2.5 ror
b = 5r/2Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
Proportion = 45/18 = 2.5 or 5/2Having this, you can make the equation taking into account the proportion:
b = 2.5 rThis equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
b = 2.5 r b = 2.5 (18) b = 45How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.
Answer:
b = 2.5 r
or
b = 5r/2
Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing. To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog? 8% 28% 46% 61%
Answer:
28%
Step-by-step explanation:
Given that
The calculation of probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog is shown below:-
Remaining of large pieces of mail were catalogs
= 100% - 22%
= 78%
Now, we will solve the equation to find out the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog
[tex]= \frac{36}{100}\times \frac{78}{100}\times 100[/tex]
[tex]= \frac{2,808}{10,000}\times 100[/tex]
= 28.08%
or
28%
Answer:
28%
Step-by-step explanation:
PLEASE ANSWER THIS, ITS DUE TODAY!! *100 POINTS*
Answer:
B. Spread
Step-by-step explanation:
Pleasee help I am being timed
Answer:
A: 33.5
B: 24.5
Step-by-step explanation:
Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.
Step-by-step explanation:
In a plane, line b is parallel to line f, line f Is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
hif
bih
bllg
GIlh
what is the inverse of the function y=4x+5
Answer:
the answer for this question is (y-5)/4=x