y² = 8y - 15 (alternate angles are equal)
y² - 8y + 15 = 0
(y - 5)(y - 3) = 0
y = 5 or 3
x + 8y - 15 = 180 (angles in a straight line add up to 180)
when y = 5
x + 40 - 15 = 180
x = 155°
when y = 3
x + 24 - 15 = 180
x = 171°
Please help me with these it’s geometry I’m not very good at this and I so appreciate the help
Problem 8
The triangles are congruent, which means their corresponding pieces must also be congruent.
angle A = angle Dangle B = angle Eangle C = angle FFocus on the second equation above. We can further say
angle B = angle E
E = B
12x+30 = 50
12x = 50-30
12x = 20
x = 20/12
x = 10/6
----------------
Now move to the equation involving C and F to get
F = C
(y/2) - 10 = 40
y/2 = 40+10
y/2 = 50
y = 2*50
y = 100
----------------
And finally,
D = A
sqrt(z) = 90
z = 90^2
z = 8100
=======================================================
Problem 11
The radius of the circle is r = 5.
The area of the circle is A = pi*r^2 = pi*5^2 = 25pi
The diameter of the circle is 2*r = 2*5 = 10, which is the side length of the square because the circle is fit perfectly inside the square.
Since the square side length is 10, the area is 10^2 = 100
Subtract the two areas: large-small = square - circle = 100 - 25pi
We subtract the areas because we're basically kicking out the circle area when we don't shade it. Think of it like sawing out that portion of a wooden block perhaps.
=======================================================
Problem 19
Part (a)
The point P is directly below the center and it is on the circle.
The location of point P is (18,0) because the x coordinates of both points are the same (so that P is directly below the center) and P resides on the x axis. All points on the x axis have y coordinate 0.
------------------------------
Part (b)
The radius of the circle is r = 10 which is the distance from the center to point P.
The area of the circle is therefore A = pi*r^2 = pi*10^2 = 100pi
Answer: 100pi
The graph shows the cube root parent function.
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
(ONLY ANSWER THIS IF YOU WANT TO PLAY AMONG US PLEASE I WANT TO PLAY!!!)
Answer:
Whats the code?
Step-by-step explanation:
Ill play with u
What's y'all favorite tic tok sound?
Answer:
Laxed (SIREN BEAT)" by Jawsh 685
Step-by-step explanation:
What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...
Answer:
1/10
I hope this helps!
Answer:
1/10
Step-by-step explanation:
6/20, 5/20, 4/20, 3/20 2/20
find f((1)/(3)) if f(n)=3n
Answer:
1Step-by-step explanation:
Given
f(n) = 3nTo find
f(1/3) =?Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1Answer: The answer is 1 sweetie
Step-by-step explanation: Given
f(n) = 3n
To find
f(1/3) =?
Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}
A golfball is hit from ground level with an initial vertical velocity of 64 ft/s. Use the function h(t) = −16t2 + v0t + h0, where h(t) is the height of a golfball hit with initial vertical velocity v0 from initial height h0 after t seconds in the air, to find the time at which the golfball will hit the ground. after 4 s after 5 s after 3 s after 6 s
Answer:
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
Step-by-step explanation:
h(t) = −16t2 + v0t + h0
Putting the values
Initial velocity = V0 = 64m/s
time = 4, 5,3,and 6 seconds
initial height = h0 = ground level= 0 m
h(t) = −16t2 + v0t + h0
h(4) = −16(4)2 + 64(4) + 0
h(4)= 0m
h(t) = −16t2 + v0t + h0
h(5) = −16(5)2 + 64(5) + 0
h(5)= - 400 + 320= -80m
h(t) = −16t2 + v0t + h0
h(3) = −16(3)2 + 64(3) + 0
= -144+ 192= 50m
h(t) = −16t2 + v0t + h0
h(6) = −16(6)2 + 64(6) + 0
= -576+ 384= -192m
It is seen that the height of the golf ball is maximum at t= 3 sec that is 50 m above the ground.
The - ( negative) sign at different times shows that the ball may follow a path lower than the ground level.
The ball hits the ground at t= 4 seconds that is it's distance from the ground is zero meters.
240n ( m*2 + 8m + 16 ) / 24 ( m+4) plz help......with explanation
Answer:
20n(5m+8)(m+4)
Step-by-step explanation:
240n×
24
2m+8m+16
(m+4)
240n×
24
2(m+4m+8)
(m+4)
240n×
24
2(5m+8)
(m+4)
20n(5m+8)(m+4)
Substitution method
3x+2y=15
y=6x
Answer:
x = 1
Step-by-step explanation:
3x +2y = 15
y = 6x
Substitute y for 6x in 3x +2y = 15!
3x + 2(6x) = 15
3x + 12x = 15
Combine like terms
15x = 15
Divide both sides by 15
15x = 15
x = 1
Brainliest is much appreciated!
La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico
Answer:
No hablo espanol.
puedes escribir en ingles
Step-by-step explanation:
Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.
Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.
which number does Not represent 4.701
Answer:
4.702 does not represent 4.701
Step-by-step explanation:
#teamtrees #WAP (Water And Plant)
Answer:
WHAT ARE THE NUMBERS?
Step-by-step explanation:
YOU DIDNT WRITE THEM
Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2
Answer:
4 - slope
2 - y - intercept
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '4' is the slope of the equation.
[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]
The '2' is the y-intercept.
[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]
Hope this helps.
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
[tex](y-k)=n(x-h)^2[/tex]
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]
[tex]p(y-k)=(x-h)^2[/tex]
where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, [tex]|-0.5|=0.5[/tex]
For option B, [tex]|5|=5[/tex]
For option C, [tex]|8|=8[/tex]
For option D, [tex]|-10|=10[/tex]
Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.
Hence, the correct option is A.
Please help me out! I can’t do this on my own.
Answer:
y = 6x
Step-by-step explanation:
y = mx + b
Slope (m) = 6/1 up 6, right 1
Y-intercept (b) = 0
As a part of your project studying tipping behavior, you ask people the question, How much should you tip a grocery bagger for carrying five bags to your car? The Grocery Bagger Surveys tab of this spreadsheet gives the responses to this question from 10 independent surveys, each with 50 respondents. The respondents were asked to round to the nearest quarter, since few people tip with pennies, nickels, and dimes. In the spreadsheet, you can calculate the mean, or average, of data using the Average function: Select the cell in which you want the mean to appear. Type =AVERAGE( in the formula bar. Select all the cells containing the values for which you want to find the average, and then press Enter. The average of the values in the cells will be calculated and displayed in the cell in which you entered the formula. Question 1 What is the sample mean of the responses in survey 1?
Answer:
The sample mean for survey 1 is $1.69.
Step-by-step explanation:
I just did this on edmentum plato.
How do I solve this and check all the solutions?
Answer:
it is -6
Step-by-step explanation:
Solve -17 = x/-3 for x. x =
Answer:
x equals 51
Step-by-step explanation:
1. Do the inverse operation of x/-3 which is multipulcation.
2. Multiply -17 by -3 to get the answer of 51.
Finish the equation by saying that x = 51, or 51 = x.
Answer:
X=51
Step-by-step explanation:
You would have to multiply 17 by 3.
10x3=30
7x3=21
then you add 30 and 21 which equals 51
Hi if someone can please help me answer the top one I will mark u brainliest
Answer:
D) [tex]1\frac{21}{40}m^2[/tex]
Step-by-step explanation:
We can first change the area of his garden into an improper fraction:
[tex]7\frac{5}{8} m^2 = \frac{61}{8}m^2[/tex]
Since Eric wants to split his garden into five equal sections, we divide the area of his garden by [tex]5[/tex]:
[tex]\frac{61}{8}\div 5 = \frac{61}{40}[/tex]
[tex]=1\frac{21}{40}m^2[/tex]
∴ The area of each new section is [tex]1\frac{21}{40}m^2[/tex]
Hope this helps :)
whats 1/2 + 8 9/14 please help ASAP
Answer: 9 /17 as fraction 9.143 Simplify
Step-by-step explanation:
Answer:
9 1/7
The explanain of this is that 1/2 + 8 + 9 1/4 so... 1/2+9/14=?
7 1/4 + 9/14=16/14 and so... 16/14=8/7 then.. 8/7=1 1/7 then last thing 8 + 1 + 1/7= 9 1/7
Can someone please help me with this question?!
This is pretty confusing please help!!!!!
PLEASE HELP ME ITS SYSTEM OF LINEAR EQUATIONS
if f(x)=4^x+4, then calculate f(0)
ok so F (0) should be equaled to = 0
Answer:
f(0) = 5
Step-by-step explanation:
Note that [tex]a^{0}[/tex] = 4
To calculate f(0), substitute x = 0 into f(x), that is
f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5
PLEASE I NEED HELP ITS URGENT TOO!!!
Answer:
PLEASE I NEED HELP ITS URGENT TOO!!!
Find the measure of <JKL =63°
need helpp!!
Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
Answer:
$32.65 is the answer.
Step-by-step explanation:
First, we must calculate 7.25% of 30.45.
30.45 x 0.0725 = $2.20
Now, we must add this to the original price
$30.45 + $2.20 = $32.65
Therefore, $32.65 is the total cost of his purchase.
Hope this helps! :)
Answer:
$32.66Step-by-step explanation:
before tax = $30.45
tax sales = 7.25%
total cost = $30.45 x 1.0725
= $32.66
77th term for -10,-8,-6
9514 1404 393
Answer:
142
Step-by-step explanation:
The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...
an = a1 +d(n -1)
an = -10 +2(n -1) = 2n -12
Then the 77th term is ...
a77 = 2(77) -12 = 154 -12
a77 = 142
The 77th term is 142.