Answer:
Option B
Step-by-step explanation:
Formula to be used to calculate the length of an arc,
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = Angle subtended at the center by the arc
r = radius of the circle
By substituting values in the formula,
s = [tex]\frac{150}{360}(2\pi )(42)[/tex]
[tex]\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )[/tex]
[tex]\frac{s}{84 \pi }=\frac{150}{360}[/tex]
Therefore, Option B will be the answer.
what are the X and Y intercepts of 6x-36y= 108
Answer:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): (18,0)
y-intercept(s): (0,-3)
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
According to research Paul Monroe conducted on the Internet, the base price of a new car is $18,844.00, the options total $2,115.50, and the destination charge is $635.00. He knows that the dealer paid about 97 percent of the base price and 96 percent of the total options. What should Monroe estimate as the dealer’s cost for the car?
Answer:
Step-by-step explanation:
a.
$20,123.54
c.
$21,785.00
b.
$20,944.56
Consider Functions F and G
Answer:
A
Step-by-step explanation:
We are given two functions:
[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]
And we want to find:
[tex]f(x)+g(x)[/tex]
Thus:
[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]
We can factor the denominator of the first term:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]
In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]
Multiply:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]
Combine:
[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]
Simplify:
[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]
We can expand the denominator:
[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]
Therefore, our answer is A.
Answer:
A
Step-by-step explanation:
Equation practice with angle addition
Find m
15 POINTS!! PLEASE HELP
Answer:C
Step-by-step explanation:
Answer:
A) 252pi
Step-by-step explanation:
The volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex]
First, let's find the diameter of the large sphere.
If D=12, then R=6
[tex]\frac{4}{3}\pi 6^{3}=288\pi[/tex]
Then, we need to find the volume of the smaller sphere
[tex]\frac{4}{3}\pi 3^{3}=36\pi[/tex]
[tex]288\pi -36\pi =252\pi[/tex]
Hope this helps :)
[tex]-noorati[/tex]
someone pls help thank you so much if you do!!
PLEASEEEEEEEEEEEE HELPOPPBMEEEEE
Answer:
The answer is 7.14
Step-by-step explanation:
good luck
A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much money did the shopkeeper pay the manufacturer for the television B) if the shopkeeper gives 10% discount for cash. How much money does a customer pay for the television
Answer:
$2250
$2430
Step-by-step explanation:
If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price
let t = cost price of the television
the following equation can be derived
1.2 x t = $2700
divide both sides by 1.2
t = $2250
If there is a 10% discount, the television is (100 - 10%) 90% cheaper
0.9 x 2700 = $2430
25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.
Answer:
21.5 feet.
Step-by-step explanation:
Calculate the length of a curved edge.
s =
m
360
· 2πr Use the formula for arc length.
=
90
360
· 2π(3) Substitute 3 for r and 90 for m.
= 1.5π Simplify.
Let t be the length of the cut encompassing the tray.
t = 2 · 1.5π + 2 · 6
= 3π + 12 Simplify.
≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.
The length of the cut encompassing the tray is 21.5 feet.
A rental car company charges $44.82 per day to rent a car and $0.05 for every mile
driven. Nathan wants to rent a car, knowing that:
• He plans to drive 275 miles.
• He has at most $490 to spend.
Which inequality can be used to determine d, the maximum number of days Nathan
can afford to rent for while staying within his budget?
490 44.82 + 13.75d
490 > 44.82 + 13.75d
Submit Answer
490 < 13.75 + 44.82d
490 > 13.75 + 44.82d
Answer:
D) 490 > 13.75 + 44.82d
Step-by-step explanation:
What's the circumference and area?
Answer:
43.98 (44) Circumference
Area: 153.94 (154)
Step-by-step explanation:
Answer:
Circumference: 14π square inches or approximately 43.96 square inches
Area: 49π square inches or 153.86 square inches
Step-by-step explanation:
Circumference = 2πr, where r = radius
2π(7) = 14π or 14(3.14) = 43.96
Area = πr^2, where r = radius
π7^2 = 49π or 49(3.14) = 153.86
if a=9 and d-1=27 and a=d find a and d
Answer:
A= 9
D=10
Step-by-step explanation:
a=d-1
9=d-1
10=d
The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.
Answer:
Step-by-step explanation:
Insert x for -2 & 4 and y for 1 & 4
1=-2m+c, 4=4m+c
solve the equation, m=1/2, c=2
Answer:
y = 1/2m + 2
Step-by-step explanation:
1 = -2m + c (1)
4 = 4m + c (2)
2 = -4m + 2c (1*)
(1*) + (2) = 6 = 3c
c = 2
y = mx + 2
4 = 4m + 2
2 = 4m
m = 1/2
so y = 1/2m + 2
If a 18 ft tall tree casts a 9 ft long shadow
then how tall is an adult giraffe standing near it that casts a 7
ft shadow?
Answer:
[tex] \boxed{ \tt{the \: adult \: giraffe \: is \to \: 14 \: ft}}[/tex]
The height of the giraffe standing near it which casts a shadow of 7 feet is 14 feet.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
Actual height of the tree = 18 feet
Height of the shadow = 9 feet
Actual height = 2 × Shadow height
So, here the scale factor is 2.
Given Shadow height of the giraffe = 7 feet
Actual height of the giraffe = 2 × height of shadow of the giraffe
= 2 × 7 feet
= 14 feet
Hence the height of the giraffe is 14 feet.
Learn more about Scale Factor here :
https://brainly.com/question/30215119
#SPJ2
Solve to find the value of x.
Answer:
x=12
Step-by-step explanation:
We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex]. To prove that x=12, we can subsitute x for 12. This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)
Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.
Answer:
x = 2
Step-by-step explanation:
x * 3 = 6 → is your equation to solve for x
x = [tex]\frac{6}{3}[/tex]
x = 2
URGENT HELLLLPPP!!!!!!!!
solve for x
x- 5/3=1
Answer:
x = 8/3 or 2 2/3
Step-by-step explanation:
x - 5/3 = 1
x - 5/3 + 5/3 = x
1 + 5/3 = 8/3 or 2 2/3
x = 8/3 or 2 2/3
Answer:
x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )
3x - 5 = 3 ( add 5 to both sides )
3x = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
Some friends went hiking. The very top of the trail that was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles and they walked on the trail. How far to the front walk? How far to the friends drive?
Please solve step-by-step
Answer: they drove 27 miles+ and walked 8 miles
Step-by-step explanation:
Which of the following are not polynomials?
+ x +1
A. x²
B. +x+
N
C. x2 + 0x2 + 2x + 2
DX-2 + x +1
+
3x+1
Answer:
letter a
Step-by-step explanation:
hope it helps
..............
NEED HELP FAST!! A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.
Answer:
y = -3x + 5
Step-by-step explanation:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
Mr. Lisa wants to hang a triangular banner at the entrance of the school. He performs an unknown dilation to include the banner labeled ∆A'B'C' on a sketch. If side A'B' is 8 units, what will be the measure of B'C' if the measure of AB is 24 feet and BC is 6 feet?
Answer:
B'C' = 2 units
Step-by-step explanation:
The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).
Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:
A'B'/AB = B'C'/BC
Substitute
8/24 = B'C'/6
Cross multiply
24*B'C' = 8*6
24*B'C' = 48
B'C' = 48/24
B'C' = 2 units
Evaluate 11.3v + 10.7w when v=7 and w=8
Answer:
11.3(7)+10.7(8)=79.1+85.6
=164.7
If (x + 1)(x - 3) = 12, then which of the following statements is true?
1.) x + 1 = 12 or x - 3 = 12
2.) x + 1 = 0 or x - 3 = 0
3.) x - 5 = 0 or x + 3 = 0
Answer:
If (x + 1)(x - 3) = 12, then which of the following statements is true?
1.) x + 1 = 12 or x - 3 = 12
is true
ANSWER ASAP
Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution.
8x^3 +__x^2 – 23x + 6
Solution: (2x + 3)(4x - 1)(x - 2)
Answer:
[tex]8x^{3}+30x^{2}+17x+6[/tex]
Step-by-step explanation:
I will give brainiest to whoever answers correctly.
Answer:
x= 1.25 y = 1.75
Step-by-step explanation:
8/5 = 10/ (5+x)
Cross multiplucation
8(5+x) = 5x10
40 + 8x = 50
8x = 10
x = 1.25
8/7 = 10/ (7+y)
Cross multiplication
8(7+y) = 10x7
56+8y = 70
8y = 14
y = 1.75
can someone help me, with this problem, I really need the procedure
Answer:
In which standard u are???
Step-by-step explanation:
Of which chapter is it???
If the diameter of the tennis ball is 2.6 inches, what is its circumference, in inches?
Answer:
8.164
Step-by-step explanation:
The circumference of the ball is 8.164 inches.
Calculation of the circumference:
Since the diameter of the tennis ball is 2.6 inches
So here the radius should be half i.e. 1.3 inches
Now we know that
Circumference = [tex]2\pi r\\\\[/tex]
= 2(3.14)(1.3)
= 8.164 inches
Therefore, we can conclude that The circumference of the ball is 8.164 inches.
Learn more about circumference here: https://brainly.com/question/15673093
Marcel wants to buy a bike for 499$. he has already saved 256$. His grandma gives him 50$. He can save 12$ per month. How long does he have to wait before he can afford the bike?
Answer: 17 months
Step-by-step explanation:
499 - 256 - 50 = 193
193/12 = 16.08
round up, so 17 months
what is 2x-6=16
please help
Answer:
x=11
Step-by-step explanation:
step 1- add 6 to both sides
2x-6+6=16+6
step 2- divide both side by 2
2x/2 22/2
x=11
I suggest using a calculator called Math Papa that's what I use for equations