Answer:
[tex]the \: angle \: is \: 0.25\pi[/tex]
Step-by-step explanation:
the arc length is equal to the radius x angle (in radians)
[tex]s=ra[/tex]
s= arc length, r= radius and a= the angle
solve for a ; a= s/r; a=
[tex]1.25\pi/5[/tex]
The measure of the arc is 0.25π.
Important information:
Diameter of a circle = 10 inches.Length of arc = 1.25πMeasure of arc:The formula for arc length is:
[tex]s=r\theta[/tex]
where s is the arc length, r is the radius and [tex]\theta [/tex] is the measure of arc in radian.
The diameter of a circle is 10 inches. So, the radius is 5 inches.
[tex]1.25\pi=5\theta[/tex]
[tex]\dfrac{1.25\pi}{5}=\theta[/tex]
[tex]0.25\pi=\theta[/tex]
Therefore, the measure of the arc is 0.25π.
Find out more about 'Measure of arc' here:
https://brainly.com/question/15138285
Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedema’s 8th grade math class?
Late answer, but whatever.
Answer:
36. There are 36 students in the class.
Step-by-step explanation:
4/12 oatmeal
2/12 cinnamon
3/12 chocolate
9 peanut
The fractions added together = 9/12
This means the 9 students = 3/12 of the class
3 x 4 = 12
9 x 4 = 36
Please help with 1 & 2!!! Will mean a lot!! And give brainly!!! Help plz due today
1. to find angle x:
angles on a straight line add to 180º : 180-92º = 88º
to find angle y:
exterior angle equals opposite interior angles: 88+22=110º
2. to find angle x:
angles on a straight line add to 180º : 180-118 = 62º
to find angle y:
exterior angle equals opposite interior angles: 62+52 = 114º
sorry if i got any of the angles wrong, the picture was a bit blurry and I couldn't tell that well, let me know if i got it wrong and i'll fix it
THE FASTER THE BETTER PLEASE HURRY 10 POINTS
Answer:
48in^2
Step-by-step explanation:
The area of a triangle is calculated by the formula A= b*h1/2. Substitute b for 24, h for 4, and solve.
Help? I don’t understand this math
Answer:
Option J:[tex] {x}^{3} {y}^{3} [/tex]
Step-by-step explanation:
Given,
Width of the rectangular prism
= x
Length of the rectangular prism
[tex] = {x}^{2} y[/tex]
Height of the rectangular prism
[tex] = {y}^{2} [/tex]
Therefore,
Volume of the rectangular prism
= Width × Length × Height
[tex] = x \times {x}^{2} y \times {y}^{2} [/tex]
[tex] = {x}^{3} {y}^{3} [/tex]
Hence,
The required volume of the rectangular prism is
Option J:
[tex] {x}^{3} {y}^{3} [/tex]
HELP PLEASE!!! WILL CROWN BRAINLIEST....
The temperature on Sunday was 7 C. The temperature dropped 8 C on Monday
and dropped twice as much on Tuesday. What was the temperature on Tuesday?
Answer: - 17 C
Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).
Answer will give brainliest!
Answer:
One point would be on (0,0) and the other on (1,-5)
Step-by-step explanation:
hope this helped :)
3. A runner sprints 50 ft each day for 7 days. How many inches does she sprint during this week? (Again please hurry)
Answer: The runner will sprint 4,200 inches during this week
Step-by-step explanation:
50 * 7 = 350
350 * 12 = 4200
Answer:
It's 4200in
in feets its 350ft
Step-by-step explanation:
Arletta built a cardboard ramp
for her little brother’s toy cars.
Find the volume of this ramp.
Answer:
Volume = 525 in³
Step-by-step explanation:
Volume = 25 x 7 x 6 x 0.5 = 525 in³
Duncan has cups of sand. He divides the sand equally into 4 containers. He uses all the sand in 1 container to make pieces of sand art. It takes cups of sand to complete each piece of sand art. How many pieces of sand art does Duncan make? A. 1 2/3 B. 2 C. 4 D. 5 5/9
Answer:
4
Step-by-step explanation:
From the above question:
1/4 cup of sand = 1 sand art
1 cup of sand = x
Cross Multiply
x × 1/4 cup of sand = 1 cup of sand × 1 sand art
x = 1 cup of sand × 1 sand art/1/4 cup of sand
x = 1 ÷ 1/4
x = 1 × 4
x = 4 pieces sand art
Therefore, Duncan can make 4 pieces of sand art.
Graph a line that has a slope of 5/2 and includes the point (-2, -7)
Write the equation of a line in slope intercept form that passes through (3,-2) and (0,-5)
Answer:
y=x-5
Step-by-step explanation:
First, you find the slope by -2-(-5)/3-0. This would be 3/3 which is equal to 1. Then you plug in the x with any point you want. I'm going to use (3,-2). The equation should look like -2=3+y. Now we find what is y. Therefore for this equation to be true. Y is equal to -5. Now put it all together. Y=x-5. You can use the other point to check my answer! Hope that helps!!
you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:
Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour
The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.
a) For which people is plan A best? For which people is plan B best?
b) When are the costs of the two plans the same and what is the cost?
Answer:
a
Step-by-step explanation:
find the shaded region of the figure below
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + 6x² - 3x² - 8x - 9x + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
solve the equation 3a - 6 = -12.
Answer:
a=-2
Step-by-step explanation:
3a−6=−12
Step 1: Add 6 to both sides.
3a−6+6=−12+6
3a=−6
Step 2: Divide both sides by 3.
3a/ 3 = −6/ 3
a=−2
Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?
The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
Read more about transformation at:
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There are 180 trees in gardner grove orchard, and 18 of them are pears. What percent of the trees are pear trees?
A car can go 35 1/2 miles in 1 1/2 miles gallons. How many gallons does a car need to go 639 miles?
Need work please!!
Answer: 27 gallons
Step-by-step explanation:
Since the car can go 35½ miles in 1½ miles gallons, we need to first calculate the number of miles that the car can go in 1 gallon. This will be:
= 35½ / 1½
= 71/2 / 3/2
= 71/2 × 2/3
= 23⅔ miles per gallon.
Therefore, the amount of gallons that the car need to go 639 miles will be:
= 639 / 23⅔
= 639 ÷ 71/3
= 639 × 3/71
= 27
The car will need 27 gallons.
Sombody please help ASAP!
Answer:
a translation down 9 unit
Step-by-step explanation:
a - 2/3 = 3/5 how much is a?
Answer:
19/15
Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.
Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Step-by-step explanation:
Joseph is a friend of yours. He has plenty of money but little financial sense. He received a gift of $12,000 for his recent graduation and is looking for a bank in which to deposit the funds. Partners' Savings Bank offers an account with an annual interest rate of 3% compounded semiannually, while Selwyn's offers an account with a 2.75% annual interest rate compounded continuously. Calculate the value of the two accounts at the end of one year, and recommend to Joseph which account he should choose.
Answer:
The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.
Step-by-step explanation:
The value of the interest rate and the compounding applied, gives the
value in the account after one year.
The value of the account with Partner's Bank after one year is approximately $12,362.7, which is higher than the value in the Selwyn's account.The value in Selwyn's which after one year is $12,344.58.Joseph should choose the Partner's Bank accountReasons:
The amount Joseph receives as gift, A₀ = $12,000
Amount interest from Partner's Savings Bank, r = 3% compounded semiannually
Interest rate offered by Selwyn's, r = 2.75% compounded continuously
Required:
The value of the two account at the end of one year.
Solution:
[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]
The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;
[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]
The value in the Partner's Savings Bank after one year, A(t) ≈ $12,362.7The value of an account at Selwyn's is therefore;
The interest rate compounded continuously is presented as follows;
[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]
A₀ = The original amount invested = $12,000
Which gives;
[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]
The value of the account at Selwyn's after one year, A(1) ≈ $12334.58Therefore, the account Joseph should choose is the Partner's Savings Bank that gives a higher value in the account after one year.Learn more here:
https://brainly.com/question/21896604
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A is the answer.
Step-by-step explanation: It would go up about 2.2 i hope i helped! <3
Answer: A is your answer
Step-by-step explanation:
3(2w -4) equals what
Answer:
6W-12
Step-by-step explanation:
Answer:
6w-12
Step-by-step explanation:
distribute:
3(2w-4) = 6w-12
What kind of equation is shown below?
x2 + 6x - 13 = 0
Answer:
quadratic equation
Step-by-step explanation:
Answer:
the equation shown here is a quadratic equation
5,000 x 683,629,638,953,019.582
Answer:
3418148194765097900
Step-by-step explanation:
Just multiplied
have a great day!
What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done
Answer:
it's the 2nd one
Step-by-step explanation:
hoped I helped:)
The slope of the line containing the points (6, 4) and (-5, 3) is:
1
-1
1/11
Answer:
1/11
Step-by-step explanation:
(6, 4) and (-5, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-4)/(-5-6)
m= (-1)/(-11)
m = 1/11
find the range of f(x)=2/5x + 5 for the domain (-4, -2, 0 3)
my answer is 3.4, 4.2, 5, 6.2 but im not fully sure
Answer:
Your answers are correct
Step-by-step explanation:
Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2)[/tex]
Step-by-step explanation:
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]