Answer: The radius is 11.5 meters (to the nearest tenth)
Step-by-step explanation: The circle with center H has an arc TX that measures 24 meters, and also the angle subtended by YX equals 120°.
The length of an arc is given b the formula;
Length of arc = (∅/360) x 2πr
Where the length of the arc is 24 and ∅ is 120, the formula becomes;
24 = (120/360) x 2(3.14) r
24 = (1/3) x 6.28 r
By cross multiplication we now have,
(24 x 3)/6.28 = r
72/6.28 = r
11.4649 = r
r ≈ 11.5
Therefore, the radius is approximately 11.5 meters
Sandy spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended with 13 dollars ?
Answer:
I hope this helps (๑¯◡¯๑)
To find Sandy's allowance, we use the given information to set up an equation. After solving it, we determine that Sandy's weekly allowance is $10.
To determine Sandy's weekly allowance, we need to work backward from the information given. We know that she ended with $13 after spending half of her allowance on movies and earning an additional $8 from washing the car. Let's let the variable A represent Sandy's allowance. According to the problem, Sandy spent A/2 on movies, and when she added the $8 she earned, she had $13.
We can set up the equation as follows:
(A/2) + 8 = 13Now, we solve for A to find the allowance:
A/2 = 13 - 8A/2 = 5A = 5 * 2A = $10So, Sandy's weekly allowance is $10.
The probability distribution below is
A bar graph has X on the x-axis, from 1 to 6, and P x (x) on the y-axis, from 0 to 0.4 in increments of 0.05. The probability of 1 through 6 is: 0.02, 0.04, 0.15, 0.18, 0.25, 0.36.
Answer: Negatively Skewed
first option
Step-by-step explanation:
just did it on edge
Answer:
A
Step-by-step explanation:
What is the independent variable?
Answer:
Step-by-step explanation:
Well, I'm not sure if I'm correct, but from what I've learned, and independent variable is first which could be the temperature.
Combining Like Terms to Solve Equations
-7y+2=16
show how you got the answer
Answer:
y=-2
Step-by-step explanation:
-7y+2=16
-2 -2
-7y=14
_____ <dividing line
-7 -7
y=-2
It takes 0.25 hours to complete each test lession. Make a table showing how long 3, 7, 9, and 12 lessions take. Give the constant of proportionality and write an equation that relates the time (t) to the number of sessions (s).
Answer:
1 0.25
2 0.50
3 0.75
5 1.25
7 1.75
9 2.25
11 2.75
12 3.00
t=0.25s
Find the value of the coefficient a in the equation ax+2y=8, if the solution to the equation is the pair x=2 and y=1.
Answer:
a = 3
Step-by-step explanation:
Simply substitute 2 for x and y for 1 and solve.
This will get you 2a + 2 = 8
Then simplifying, 2a = 6.
a = 3.
The value of a and the coefficient of x is 3.
What is substitution?
Substitution means putting numbers in place of letters to calculate the value of an expression .
According to the given question.
We have a equation.
ax + 2y = 8.
Also, the solution to the equation is (2, 1).
So, substitute x = 2 and y = 1 in the equation ax + 2y = 8.
⇒ [tex]a(2) + 2(1) = 8[/tex]
⇒ [tex]2a + 2 = 8[/tex]
⇒ [tex]2a = 8-2[/tex] ( subtracting 2 from both the sides)
⇒ [tex]2a = 6[/tex]
⇒ [tex]a = \frac{6}{2}[/tex] (dividing both the sides by 2)
⇒ [tex]a = 3[/tex]
Hence, the value of a and the coefficient of x is 3.
Find out more information about substitution here:
https://brainly.com/question/10852714
#SPJ2
If the diagonal of a square is approximately 12.73, what is the length of its sides?
Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:
[tex]D^{2} = L^{2} + L^{2}[/tex]
Solving further, we have
[tex]D^{2} = 2L^{2}[/tex]
Divide both sides by 2
[tex]\frac{D^{2}}{2} = \frac{2L^{2}}{2}[/tex]
[tex]\frac{D^{2}}{2} = L^2[/tex]
Take Square root of both sides
[tex]\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}[/tex]
[tex]\sqrt{\frac{D^{2}}{2}} = L[/tex]
Reorder
[tex]L = \sqrt{\frac{D^{2}}{2}}[/tex]
Now, the value of L can be calculated by substituting 12.73 for D
[tex]L = \sqrt{\frac{12.73^{2}}{2}}[/tex]
[tex]L = \sqrt{\frac{162.0529}{2}}[/tex]
[tex]L = \sqrt{{81.02645}[/tex]
[tex]L = 9.001469325[/tex]
[tex]L = 9.0015[/tex] (Approximated)
Hence, the length of the sides of the square is approximately 9.0015
DISCLAIMER: If you do not know the answer to this problem and answer just for the points, this is unappreciated, and I most likely will report you.
The circle graph shows the number of gallons of ice cream ordered for the concert in the park. What percentage of the ice cream ordered was strawberry?
A.) 33 1/3%
B.) 9%
C.) 30%
D.) 40%
PLEASE ANSWER I WILL GIVE BRAINLIEST!!! THIS IS K12 / KEYSTONE QUESTION!
Answer:
30%
Step-by-step explanation:
It has to be less than 33 (1/3 of the pie chart), but not too much, concluding it is 30%, or c
:3 1st
Answer:
C (30%)
Step-by-step explanation:
There are 30 total gallons of ice cream, and 9 strawberry. That's 9/30, which simplifies to 3/10, and then 30%
Hope this helps!!
brainliest?
The histogram shows how many jogging runs Maria made for each interval of miles. A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 is 7 runs; 7 to 7.99 miles is 4 runs. Which statement about the histogram is true? The majority of Maria’s runs were short, two-mile runs. More than half Maria’s runs were less than five miles each. The majority of Maria’s runs were between five and six miles. At least 15 of Maria’s runs were more than four miles each.
Answer:at least 15 of maria's runs were more then four miles each
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.
A circle is shown. The circle is cut into 8 equal pieces. Pieces of the circle with radius r are rearranged to create a shape that resembles a parallelogram.
Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure?
A = (2πr)(r)
A = (2πr)(2r)
A =One-half(2πr)(r)
A =One-half(2πr)(r2)
Answer:
A =One-half(2πr)(r)
Step-by-step explanation:
i got it right!
The approximate representation of the area of a parallelogram like figure is as follows:
A = 1 / 2 (2πr) (r)The circle is cut into 8 equal pieces and used to create a shape that resembles a parallelogram.
Properties of a parallelogramOpposite sides are equal and parallelopposite angles are equaldiagonal bisect each otherCircumference of a circle is the perimeter of the circle.
circumference = 2πrArea of parallelogram = bh
Where
b = base
h = height
Therefore,
A = 1 / 2 (2πr) (r)learn more on area here: https://brainly.com/question/843063
4) Dan had 199 dollars to spend on 7 books. After
buying them he had 17 dollars. How much did each book cost?
Answer:
The answer is that each book costs 26 dollars
Step-by-step explanation:
First we subtract 199 dollar from 7 =182
Then we divide 182 dollars to the seven book in order to find a unit =182/7=26
To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.
What is the rate of change of the linear function? Thanks! :)
Answer:
-3/4 or -0.75
Step-by-step explanation:
You go down 6, over 8.
6/8=3/4
It's a negative slope, so the rate of change is -3/4 or -0.75.
Two numbers have a product of 6800 and a difference of 5 what are the two numbers
Answer:
80 and 85
Step-by-step explanation:
Let a and b be those numbers
a*b = 6800
a - b = 5
Use the substitution method.
a = 5 + b
(5 + b)*b = 6800
5b + b*b = 6800
bb + 5b - 6800 = 0
b = -5/2 + root(25 - 4*1*(-6800)) /2
b = -5/2 + 165/2
b = 80
or b = - 85
a - b = 5
a - 80 = 5
a = 85
Given that 7^2=12^x, evaluate 12^2x
please help
Answer:
2401
Step-by-step explanation:
Write this number in words.
8,400.9
Answer:
eight thousand four hundred and nine tenths
Hope this helps!
You and TWO of your closest friends went to a restaurant for dinner. The bill came to $25.60. You want to split the bill EQUALLY and leave a 20% tip. How much does each person owe? (Show Work.)
A: $5.12
B: $8.53
C: $10.24
Answer:
C
Step-by-step explanation:
Since they left a tip of 20% you find 20% of 25.60, and then add it to 25.60.
You add 5.12 and 25.60 because it was a tip, they gave that much more.
So 20% which is 5.12.
25.60 + 5.12 = 30.72
since there were 3 people in total you just divide
30.72 / 3
= 10.24
Someone help me with the diagram below!!
Find the circumference of the circle. Round your answer to the nearest hundredth.
Answer:
25.13
Step-by-step explanation:
C=2πr
C=2 x 3.14 x 4
C= 25.13
Pam has 7 red marbles, 16 green marbles, 6 yellow marbles, 4 orange marbles, 19 black marbles, and 12 blue marbles in a bag.
What is the range in the number of different colored marbles?
A) 13
B) 15
C) 16
D) 19
Answer:
b 15
Step-by-step explanation:
The range is the difference between the largest and smallest number.
range = biggest − smallest = 19 − 4 = 15
The future perfect tense is__________.
will happen
is happening
will have happened
should happen
Answer:
it's will have happened
Step-by-step explanation:
I got it right
m∠LONm, angle, L, O, N is a straight angle.
m
∠
L
O
M
=
4
x
+
3
0
∘
m∠LOM=4x+30
∘
m, angle, L, O, M, equals, 4, x, plus, 30, degrees
m
∠
M
O
N
=
8
x
+
9
0
∘
m∠MON=8x+90
∘
m, angle, M, O, N, equals, 8, x, plus, 90, degrees
Find
m
∠
M
O
N
m∠MONm, angle, M, O, N:
Given:
It is given that LON is a straight line. The measure of ∠LOM = (4x + 30)° and the measure of ∠MON = (8x + 90)°
We need to determine the value of m∠MON
Value of x:
Since, LON is a straight line and the angles LOM and MON are linear pairs of angles.
Since, linear pair of angles add up to 180°
Thus, we have;
[tex]\angle LOM+\angle MON=180^{\circ}[/tex]
Substituting the values, we get;
[tex]4x+30+8x+90=180[/tex]
[tex]12x+120=180[/tex]
[tex]12x=60[/tex]
[tex]x=5[/tex]
Thus, the value of x is 5.
Value of m∠MON:
The measure of ∠MON can be determined by substituting x = 5 in the expression (8x + 90)°, we have;
[tex]m\angle MON=(8(5)+90)^{\circ}[/tex]
[tex]m\angle MON=(40+90)^{\circ}[/tex]
[tex]m\angle MON=130^{\circ}[/tex]
Thus, the measure of ∠MON is 130°
A right rectangular prism has a height of 6.5 cm, a width of 8 cm, and a length of 12. 1 cm.
What is the volume of the prism? Enter the answer in the box.
Answer: la respuesta es 314,6 cm
Step-by-step explanation:
V = 1/2 x longitud x anchura x altu
v = 1/2 x 12,1 cm x 8 cm x 6,5 cm
= 0,5 x 12,1 cm x 8 cm x 6,5 cm
= 314,6 cm
Answer:
[tex]≈
629.2 {cm}^{3} [/tex]
Step-by-step explanation:
[tex]volume = whl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times 6.5 \times 12.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ≈
629.2 {cm}^{3}
[/tex]
does a vertical stretch make a graph narrower or wider?
Answer:
narrower
Step-by-step explanation:
In one year, Angelica's height went from 52 inches to 56 inches what was the percent of increase in Angelica's height
Answer: 7.7%
Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.
To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.
I just rounded it to the nearest tenth, you can change it how you need to.
Final answer:
The percent of increase in Angelica's height over one year, from 52 inches to 56 inches, is approximately 7.69%.
Explanation:
The student is asking how to calculate the percent of increase in height over a one year period. We start by finding the initial and final measurements, then calculate the increase and convert it to a percentage.
Angelica's initial height is 52 inches, and her final height after one year is 56 inches. The increase in height is 56 inches - 52 inches, which equals 4 inches. To find the percent increase, use the formula:
Percent increase= (Increase / Original amount) x 100
So, the calculation is
Percent increase= (4 / 52) x 100 = 7.69%
Therefore, the percent increase in Angelica's height is approximately 7.69%.
help plzz i'll give you 12 points to answer this.
Answer:
it is answer 3
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
If two lines have different slopes, they cannot have an infinite number of solutions.
A. Always
B. Sometimes
C. Never
which of the following values is between 7 and 8
300 mi /20 sec = ? Mi /1 min
Answer:
900
Step-by-step explanation:
To get your answer, you can just multiply 20 seconds by 3 to get 60 seconds, which is a minute.
Since whatever you do on one side you have to do to the other, multiply 300 mi by 3 as well. That would get you 900.
What is the value of x? PLEASE HELP ASAP!
Answer:
A. 28
Step-by-step explanation:
95+57=152
180-152=28 (180 is sum of triangle, in order to find the angle measurement u have to subtract).
what 40,100,000 written in scientific notation?
Answer: 4.01 x 107
Step-by-step explanation:
Answer:
4.01x10^7=40100000