Answer:
(C). 54°
Step-by-step explanation:
m∠3 + m∠4 = 90°
m∠1 = m∠4 = 2x + 8
(4x - 2)° + (2x + 8)° = 90°
4x - 2 + 2x + 8 = 90
6x + 6 = 90
6x = 84
x = 14
m∠6 = m∠3 = 4(14) - 2 = 54°
94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?
Answer: 763.02 in^2
Step-by-step explanation:
For a circle of radius R, we know that:
The area is:
A = pi*R^2
the circumference is:
C = 2*pi*R
where pi = 3.14
We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:
2*pi*R = 18*pi
2*R = 18
R = 18/2 = 9
The radius of the bullseye is 9 inches.
Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)
This is:
A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2
2. Shawn has to pay 5% sales tax on his $500 purchase. How much tax will
Shawn pay?
Answer:
$25
Step-by-step explanation:
.05x500=25
hope this helps
Answer:
He will pay $25 worth of tax
Step-by-step explanation:
percent/100=is/of
5/100=x/500
solve the proportion
5×500/100
2,500/100
25
HEEELp PLEASEEEEEEE tank uuuuuuuuuu
Answer:
they both are because they are not symmetrical??
Step-by-step explanation:
9514 1404 393
Answer:
both figures are parallelograms
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other if and only if that quadrilateral is a parallelogram. Hence, the left figure is a parallelogram.
The opposite angles of a quadrilateral are congruent if and only if that quadrilateral is a parallelogram. Hence the right figure is a parallelogram.
__
Additional comment
Proofs of these conditions can be offered, but these are the conclusions of the respective proofs. The bisected diagonals form pairs of triangles, provably congruent using SAS. (left figure) The angles total 360°, so any adjacent pair must total 180°, making opposite sides parallel. (right figure)
An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree
Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
I really need help with this
Help if u can
300 students were served about their favorite Subject the results are shown on the table below language arts 15 math 24 psi and 33 social studies 21 elective seven how many students prefer science then math
15x + 13y = 11
Pls help me
Answer:-0.133333333333
Step-by-step explanation:
what is 5x + 2 - 4x + 3
Answer:
x+5
Step-by-step explanation:
Answer:
+ 5
Step-by-step explanation:
Add the numbers 2 + 3 ---------- 5x + 5 - 4x
Combine like terms 5x - 4x------------- 1x + 5
Multiply by one
= x + 5
I am really confused. Please help
3x - 4y = 44
can someone help me get Y by it self
Answer:
y= 3 /4 x−11
Step-by-step explanation:
3x - 4y = 44
Add -3x to both sides.
3x−4y+−3x=44+−3x
−4y=−3x+44
Divide both sides by -4.
−4y /−4 = (−3x+44 )/−4
y= 3 /4 x−11
Item 9
Question 1
Solve the inequality. Graph the solution.
t−4≤−14
The solution of the given inequality is t ≤ -10.
What is inequality?When two values are not equal to one another, there is an inequality between them, which is a mathematical concept. It is a claim that one value exceeds or falls short of another.
Mathematical symbols for inequalities include (less than), > (greater than), (less than or equal to), and (greater than or equal to).
Given that,
t - 4 ≤ -14
The inequality can be solved as below,
t - 4 ≤ -14
t ≤ -14 + 4
t ≤ -10
Therefore, the solution to the inequality is t ≤ -10.
To know more about inequality follow
https://brainly.com/question/24372553
SPJ2
Sue is thinking of buying some 2-liter sodas which are on sale for $1.25 each. The total cost, c, ofall the 2-liter sodas will be proportional to the number of 2-liter sodas, s, that she buys.Which equation represents the relationship between cand s?
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2
Answer:
A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]
Step-by-step explanation:
Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Cross multiply
[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]
[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]
Subtract [tex] y_2 [/tex] from both sides
[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]
[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]
Divide both sides by -1
[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]
[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]
what are the steps to solving
2x−1(5−3x)=4x+2
Answering:
Step-by-step explanation:
How to solve your question
Your question is
2
Answer:
The answer is above :)
Step-by-step explanation:
Hope i helped
The length of a rectangle is 15 more than 3 times the width. The perimeter is 110. What is the area
Answer:
450 units squared
Step-by-step explanation:
2(length)+2(width)=Perimeter
W=x Length=15+3w Perimeter=110
2(15+3w)+2w=110
30+6w+2w=110
8w=80
w=10
So: Length is 45 and Width is 10
Area is l*w
Area=45*10
Area is 450 units squared
Someone please explain this to me.
Answer:
A is the answer
Step-by-step explanation:
Becuase if it has the same radius and the same height. then they will both be equal.
180° rotation
Pre rotation points
Answer:
whats the question???????????
x+5y=5
2x-y=-4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
Need help it’s really hard
Given:
[tex]OA=3[/tex] units
[tex]OA'=9[/tex] units
To find:
The scale factor of the dilation.
Solution:
From the given figure it is clear that the center of dilation is point O. Point A' is the image of point A. So,
[tex]\text{Scale factor}=\dfrac{OA'}{OA}[/tex]
Putting the given values, we get
[tex]\text{Scale factor}=\dfrac{9}{3}[/tex]
[tex]\text{Scale factor}=3[/tex]
Therefore, the scale factor of the dilation is 3.
What is the volume of a cylinder with a diameter of 12 m and a height of
27 m. Remember, d=2r.
Answer:
3053.63m³
Step-by-step explanation:
use a calculator, not brainly
Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?
Answer:
3 3/4
Step-by-step explanation:
write an equation for the line in slope-intercept form
Answer:
y = -3/1x + 2
Step-by-step explanation:
1. Find the slope
The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.
y2-y1/x2-x1
2-5/0-(-1) = -3/1
2. Find the y-intercepy
y = mx + b
You can use any x or y point. I'll use (-1,5)
m= slope, which is -3/1
5= -3/1(-1) +b
5= 3 + b
Subtract 3 from 5 and 3 to get 2=b.
3. Rewrite in slope-intercept form
y = -3/1x + 2
The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
A.
n + n + 1 = 59; n = 29; n + 1 = 28
B.
n + n + 1 = 59; n = 29; n + 1 = 30
C.
n + n + 1 = 59; n = 30; n + 1 = 31
D.
n + 2n = 59; n = 19; 2n = 38
Answer:
B
Step-by-step explanation:
n+(n+1)=59
2n=59-1=58
n=58/2=29
n+1=29+1=30
Help please will mark brainliest
Answer:
FalseStep-by-step explanation:
Line a
y = 5x - 6, it has slope of 5Line b
x + 5y = 5Rewrite in slope-intercept form to find its slope:
5y = -x + 5y = -1/5x + 1It has slope of -1/5Lines have different slopes: 5 and -1/5, therefore are not parallel
Answer:
The answer to the question provided is False.
Step-by-step explanation:
‣We are going to have to find the value of y for line b.
‣We are going to solve its equation.
[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]
‣So we have:
[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]
‣Remember that a slope is parallel to another slope if it has the same slope.
‣A slope is perpendicular to another slope if it has a negative reciprocal.
‣The slopes we have don't have the same slope, but they are perpendicular.
Bradley has ordered a steak from the meat market that weighs 1 5/8 pounds. There is a bone in the steak that weighs 7/8 of a pound. How much does the meat weigh?
Answer:
3/4
Step-by-step explanation:
the bone and the steak weigh = 1 5/8 pounds
The bone weighs 7/8
The meat weighs = 15/8 - 7/8
Converting 1 5/8 to an improper fraction gives 13/8
13/8 - 7/8 = 6/8 = 3/4
Holis
sawarasenaikimiwa⛓shoujonano?✨bökùWâÿariçhiñbįcchīńoosûdàyo ah
Answer:
Oop
Step-by-step explanation:
sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo
i haded to do it lol
Shawn earned 5% commission on a $500 sale. How much did he earn
Answer:
$25
Step-by-step explanation:
5% of 500 = 0.05 × 500 = 25
Answer:
25$
Step-by-step explanation:
500*.05=25
Hope this helps :0
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax
Answer:
$275.562
Step-by-step explanation:
Step 1
Find the discounted price
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.
Discount = $315 × 19%
= $59.85
Discounted price = $315 - $59.85
= $255.15
Step 2
Sale Tax
She had to pay an 8% sales tax on the amount she actually paid for the bike
Hence:
$255.15 × 8%
Sale Tax = $20.412
Step 3
The total cost of the bike including tax is calculated as:
$255.15 + $20.412
= $275.562
The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?
I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points
Step-by-step explanation:
We have
Summer membership + $12 = 3(Weekend pass).
=> ($78) + ($12) = 3x
=> 3x = $90
=> x = $30.
Hence the weekend admission is $30.
Answer:
3x-12=78
Step-by-step explanation:
This is my thinking:
So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so
3x-12=78.