circumference =2×pi×r
18/2=9(r)
so...2×pi×9
=54..5
Answer:
56.5 ft
Step-by-step explanation:
We define the number π as the ratio between the circumference and diameter of a circle: π = c/d. Rearranging this equation gives us one for the circumference: c = πd. Using an approximation of π ≈ 3.14 and our value of d = 18 feet, we can find that c = 3.14(18) = 56.52 ft, or 56.5 ft, rounded to the nearest tenth.
What is the perimeter of the parallelogram?
3.5 cm
2.5 cm
5 cm
6 cm
12 cm
7 cm
The answer is 12 when you add the base and height of the parallelogram and multiply by2
Answer:
12
Step-by-step explanation:
Find 4/9 of 6:9 in simplest form
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
A car travels 450km at 100km/h and 90km at 60km/h. Find its average speed?
Answer:
Average speed = 90 km/h
Step-by-step explanation:
Given that:
Distance covered at 100 km/h = 450 km
Time = [tex]\frac{Distance}{Speed}[/tex]
Time = [tex]\frac{450}{100}=4.5\ hours[/tex]
Distance covered at 60 km/h = 90 km
Time = [tex]\frac{90}{60}=1.5\ hours[/tex]
Total distance travelled = 450 + 90 = 540 km
Total time taken = 4.5 + 1.5 = 6 hours
Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]
Average speed = [tex]\frac{540}{6}[/tex]
Average speed = 90 km/hr
Hence,
Average speed = 90 km/h
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable name x or y to describe the unknown 4 divided by the sum of 4 and a number
Answer:
the algebraic expression for the phrase 4 divided by the sum of 4 and a number is [tex]\mathbf{\frac{4}{4+x}}[/tex]
Step-by-step explanation:
Translate the following phrase into an algebraic expression.
We will use x to describe the unknown.
The phrase is: 4 divided by the sum of 4 and a number
The sum of 4 and a number can be written as: 4+x
4 divided by the sum of 4 and a number can be written into algebraic expression as: [tex]\frac{4}{4+x}[/tex]
So, the algebraic expression for the phrase 4 divided by the sum of 4 and a number is [tex]\mathbf{\frac{4}{4+x}}[/tex]
I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
For exponential functions of the form f(x)=a^x, which of the following expressions is equal to [f(b)]^c?
The expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]
How to determine the equivalent expression?The equation of the exponential function is given as:
[tex]f(x) = a^x[/tex]
Substitute b for x
[tex]f(b) = a^b[/tex]
Take the exponent of both sides to the power of c
[tex][f(b)]^c = (a^b)^c[/tex]
Apply the law of indices
[tex][f(b)]^c = a^{bc}[/tex]
Hence, the expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
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70 is 160% of what number
Helpp picture about
Answer:
Option A, C, and E
Step-by-step explanation:
7 to the fourth power is the same as 7 times 7 times 7 times 7.
7^4 is the same thing as 7 to the fourth power, just rewritten.
I hope this helped, please give brainliest if this is correct! Thank you!
Consider the function f(x)=x^3+7. What is the inverse of f(x)?
Step-by-step explanation:
f(x)=x^3+7
y=x^3+7
x=y^3+7
y^3=x-7
y=cube root (x-7)
f(x) inverse=cube root of x-7
The inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
The given function is f(x)=x³+7.
What is the inverse function?Inverse function is represented by [tex]f^{-1[/tex] with regards to the original function [tex]f[/tex] and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
Now, f(x)=x³+7 can be written as y=x³+7
⇒ x=y³+7
⇒ y³=x-7
⇒ [tex]y=\sqrt[3]{(x-7)}[/tex]
Therefore, the inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
To learn more about the inverse function visit:
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Suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows: Number of Breakdowns Prob. 0 .50 1 .25 2 .10 3 .10 4 .05 The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance
Answer:
$100 worse off
Step-by-step explanation:
Number of Breakdowns : 0, 1, 2, 3, 4
Prob.: 0.50, 0.25, 0.10, 0.10, 0.05
Cost of a breakdown = $2,000
cost of a preventive maintenance program is $2,000 per month
Expected probability of breakdown:
E(x) = Σ(X * p(x)) = (0*0.5) + (1*0.25) + (2*0.10) + (3*0.10) + (4*0.05) = 0.95
E(x) * cost of breakdown = (0.95 * 2000) = $1900
Hence, difference between breakdown and preventive maintenance
1900 - 2000 = - $100
$100 worse off
Each deck has 52 cards in it. Using m, write an expression for the total number of cards.
Answer: 52m cards
Step-by-step explanation:
First part of question says: Karen has m decks of cards.
If Karen has m deck of cards and each deck has 52 cards in it, the total number of cards that all that Karen will have will be 52 multiplied by the number of deck of cards Karen has:
= 52 * m
= 52m
Garrett had $100 in his savings account and plans on spending $25 per week how much will he have left after three weeks
determine the percentage increase from 10 yards to 13 yards
Answer:
30%
Step-by-step explanation:
In this case, we have a positive change (increase) of 30% because the new value is greater than the old value. Using this tool you can find the percent increase for any value.
Hope this helps!
Brain-list?
WILL GIVE 5 STARS.
In Gina’s closet there are 20 shirts and 30 skirts. What is the simplest ratio of shirts to skirts?
Answer:
5:3
Step-by-step explanation:
plssssss help asap fast pls
Answer:
The third one
Step-by-step explanation:
A, B and C lie on a straight line.
Given that angle y = 110° and angle z = 99°, work out x.
Answer:
[tex]since \: the \: sum \: of \: these \: angles \: is \: greater \: than \: 180° \\ they \: must \: be \: angles \: at\: a \: point \: in \: the \: circle \\ 110° + 99° + x = 360° \\ x = 360° - (110° + 99°) \\ x = 151°[/tex]
I need help on this question ASAP.
please i need your help?
9514 1404 393
Answer:
(15, 0) = (movies, games)
Step-by-step explanation:
If the goal is to purchase as many items as possible, that is best reached by spending all of the money on the least-expensive items. Purchase of 15 movies (at $20 each) will do what Lane wants.
(movies, games) = (15, 0)
__
The graph shows that answer choice (12, 4) is not in the solution set.
Find the value for the side marked below.
Somebody pls help, I’ve been working on this section for 4 hours and still haven’t figured it out
Answer:
87.2
Step-by-step explanation:
49^2+87.2^2=100.02^2
Find the slope of each line.
which of the following statements are true about the points (5,3) and (5,-3) is true
A. is in the same quadrant
B. is a reflection of each other over the y-axis
D. is a reflection of each other over the x-axis
C. reflections over both axis
Answer:
we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Step-by-step explanation:
We need to find which of the following statements are true about the points (5,3) and (5,-3) is true.
We are given a point (5,3)
and other point (5,-3)
We know that refection over x-axis states that the value of y-coordinate will be negated while x-coordinate value remain same.
In our case, first point (5,3) the coordinates are: x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains same while, y-coordinate value is negated (negative)
So, we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Answer: Option D is the correct option.
Step-by-step explanation:
We need to find which of the following statements are true about points (5,3) and (5,-3) is accurate.
We are given a point (5,3)
and another point (5,-3)
We know that reflection over the x-axis states that the value of the y-coordinate will be negated while the x-coordinate value remains the same.
In our case, for the first point (5,3) the coordinates are x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains the same while, the y-coordinate value is negated (negative)
So, we can say that the points are reflections of each other over the x-axis.
PLEASE HELP I PUT IT FOR 40 PIONTSSSSSSSS
Answer:
its only 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
What is the difference between -3 and -12? 15. 9. -9. -15
Answer:
15
Step-by-step explanation:
First you will find the absolute value and a differnce between a number will always be positive!
m<DAB and m< ABC, if m<ADC=35°
m<B CD = 46°
A
B
D
What unit of measurement for a wasp’s leg?
Answer:
Probably by mm or cm
Step-by-step explanation:
Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5 years?
Answer:
$1050
Step-by-step explanation:
Simple interest =P*R*T/100,
substituting the values:
3000*7*5/100= 1050.
therefore Simple interest = $1050
In ΔHIJ, the measure of ∠J=90°, HI = 88 feet, and IJ = 62 feet. Find the measure of ∠I to the nearest tenth of a degree.
Answer:
[tex]\huge\boxed{\sf < I = 45.2\°}[/tex]
Step-by-step explanation:
Firstly, we've to draw a triangle according to the givens. (See the attached file)
Then according to the Trigonometric Ratios:
Cos (I) = Adjacent / Hypotenuse
Cos (I) = 62 / 88
Cos (I) = 0.704
< I = Cos ⁻¹ (0.704)
< I = 45.2°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
45.2
Step-by-step explanation:
hope it helps
simplify the expression 14y +6+3y
Answer:
The simplified version is 17y + 6.
Step-by-step explanation:
14y + 6 + 3y
17y + 6
Answer:
17y + 6
Step-by-step explanation:
commutative property
14y + 6 + 3y
14y + 3y + 6
combine like terms
14 + 3 = 17
17y + 6
Find the gradient of the line segment between the points (7,2) and (10,-5).
Give your answer in its simplest form.
Answer:
-7/3
Step-by-step explanation:
Give your answer in its simplest form.
Gradient is also known as slope and it is expressed as;
Slope = y2-y1/x2-x1
Given the coordinate point (7,2) and (10,-5).
Slope = -5-2/10-7
Slope = -7/3
Hence the gradient of the line segment between the points is -7/3
Pls help I’ll brainlest