Answer:
Given that angle APB = 100°
Angle CPB = 180°- 100°. (Angle APB and CPB form a linear pair)
We know all triangles formed here are isosceles
Therefore,
We can take angle PBC= angle PCB = x
Now,
Angle CPB+ x + x = 180°. ( Triangle sum property)
100° + 2x = 180°
2x = 180°- 100°
2x= 80°
x= 80°/2
x= 40°
Hope you found this helpful. Please mark this as the brainliest answer if you do.
A salesperson will earn a commission equal to 1/32 of the total sales. what is the commissions earned on the sales totaling 24000
Answer:
Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.
the total sales") means to multiply.
So we can write an equation as:
c
=
r
⋅
s
Where:
c is the commission earned, what we are solving for in this problem.
r is the commission rate - 1/
32 in this problem
s is the total sales - $24,000 in this problem.
Substituting and calculating c gives:
c
=1/32 x $24,000
c=$24,000/
32
c
=
$
750
Find the circumference in terms of pic if the diameter is 2.5
Answer
[tex]C=2.5\pi[/tex]
Step-by-step explanation:
Radius is always half of the diameter so, [tex]\frac{2.5}{2} \\[/tex] is equal to [tex]1.25[/tex].
The Formula for Circumference is [tex]C=2\pi r[/tex]
Since we found out the radius, we need to basically substitute (or insert) it into the radius spot so the next step will be: [tex]C=2\pi (1.25)[/tex]
Then we multiply (2)(1.25) to get an answer of 2.5 (which we already know)
So our answer is going to be [tex]C=2.5\pi[/tex]
Hope this helped and answers your question! Have a great rest of your day/night!
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
Answer:
$794.10
Step-by-step explanation:
Marcus paid for 5 pairs of rare Jordan's to be delivered. Each pair cost $143.95. Marcus paid $74.25 for delivery. What is the total amount Marcus paid?
The total amount Marcus paid is calculated as
A = $143.95 × p + $74.35
Where p = Number of pairs of rae Jordans delivered = 5
Hence,
A = $143.95 × 5 + $74.35
A = $719.75 + $74.35
A = $794.10
Therefore, the total amount Marcus paid is $794.10
Figure 11: Find the area of this composite shape.
Find the area of this composite shape.
4 cm
8 כש
4 cm
12 cm
The area of the composite figure is C = 80 cm²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the composite figure be C
Now , C = area of rectangle - area of square
Let the area of the rectangle be A
Now , the length of the rectangle be L = 12 cm
Let the width of the rectangle be W = 8 cm
A = 12 x 8
A = 96 cm²
Area of square = 4 x 4 = 16 cm²
So , C = 96 - 16
C = 80 cm²
Hence , the area of figure is C = 80 cm²
To learn more about area of rectangle click :
https://brainly.com/question/15225905
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The area of a rectangle 320in^2. The ratio of the length to the width is 5:4. Find the length and the width
Answer:
30 in length 24inches width
Step-by-step explanation:
Multiply the multiples if 5 and 4 together until you reach 720.
5*4=20
10*8=80
15*12=180
20*16=320
25*20=500
30*24=720
Your length is 30 in and your width is 24in.
please help me!! it's due in 10 mins and I don't understand it!!
Answer:
J probably
Step-by-step explanation:
When multiplying the rectangle's sides by 1.5 you get the rectangle F.
When multiplying the sides by 1/4 you get G.
When multiplying by 1.25 you get H.
To get J, you would need to muliply 8 by 1.25 and 2 by 2. There is no scale factor that would result in the rectangle ABCD turning into J.
I really neeed help ... please help me
Answer:
fist one is 36 and the second one is 238
Step-by-step explanation:
to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer
3x^2+9x+27x^3 pls help the ^ means exponent
Answer:
27x^3+3x^2+9x
Step-by-step explanation:
would it br no solution bc the lines are parallel?
Answer:
Yes
Step-by-step explanation:
The solution to the system of equations shown with a graph is the point where the two lines intersect. Because the lines are parallel they do not intersect, meaning there is no solution.
A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.
Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.
PSLS S S S S S S S s s s. Ss s s s s
Answer:
80
Step-by-step explanation:
5x2x8=80
Answer:
volume= 8*2*5
=80cube
What is -7.654 - 4.76?
Answer: -12.414
Step-by-step explanation:
-0.1 = -10c who can answer this
Answer:
c = 0.01 | Hope I helped :')
Steps to answer:
1. Divide both sides by -10.
-0.1/-10=c
2. Simplify -0.1/-10 to 0.01.
0.01=c
3 Switch sides.
c=0.01
---------------
Checking your answer:
−0.1=−10c
1 Let c=0.01.
−0.1=−10×0.01
2 Simplify 10×0.01 to 0.1.
-0.1=-0.1
Done by NeighborhoodDealer.
Sarah has to pay a one-time $300 deposit for her apartment. Each month she pays $700 for rent. How much would Sarah pay for “n” months?
Answer:
I don't know.
Step-by-step explanation:
Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1
Answer:
c = 1 , a = 2, b = 3
Step-by-step explanation:
3/2x3/4= -1/5
uh i need help
Answer:
I'm not smart but I think there's no solution
-6(3x + (-4y)) Simplify.
Answer:
−18x+24y
Step-by-step explanation:
sorry if its wrong
I need help pls pls pls
Answer: The answer may be 26%
Step-by-step explanation: Have a brilliant day mate- Lily (^_^)
Please help, thank you.
The question is in the picture
D.kite
youre welcome hihihi
Albert walks 4/5 of a mile in 5/12 of an hour. what was the average speed miles er hour?
Answer:
3mph
Step-by-step explanation:
his speed per hour will be 3 miles per hour
How many buses do you need for 600 people if each bus holds 65 people?
Answer:
You would need 10 buses
Step-by-step explanation:
To find the amount of buses needed, you just divide the total amount of people, and the capacity of each bus.
600/65
This would get you 9.23076923077, but obviously you can't have .23076923077 of a bus and you can't leave people behind. This means you would have to round the number up to 10
Answer:
10
Step-by-step explanation:
f(x)=6^x for x=2 help please
9514 1404 393
Answer:
f(2) = 36
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 6^2
An exponent of 2 means 6 is a factor two times.
f(2) = 6×6
f(2) = 36
Answer:
36
Step-by-step explanation:
To evaluate f(x) = 6^x at x = 2, substitute 2 for x:
f(2) = 6^2 = 36
Q1 - Multiplying one equation
Work these simultaneous equations out
on paper and write down your answers.
p
4p + 2q = 28
13p + 69 = 88
9 =
3s + 4t = 31
S =o
88 + 8t = 72
t =
a =
4a + 3b = 45
16a + 4b = 124
b =
5m + 6n = 61
m =
15m + 4n = 99
n =
Answer:
p = 4
q = 6
s = 5
t = 4
a = 6
b = 7
m = 5
n = 6
Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?
The question is incomplete :
The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4
Answer:
192 unit³
Step-by-step explanation:
The volume of the card box :
Recall the volume of box formula :
V = length * width * height
Volume = 8 * 6 * 4
Volume = 192 unit³
This is the procedure for any given dimension of the card deck.
Answer:
5 5/6 cu in
Step-by-step explanation:
Megan used a 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?
Answer: 18.72
Step-by-step explanation:
14.40*1.3
Answer: 48$ was the original price of the sweater.
Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4
10 in
5 in
Find the volume of the shape above. Use 3.14 for pi.
Round to the nearest tenth.
The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Based on the graph, the car requires___gallons of fuel to travel 100 miles.
A. 1.0
B. 2.5
C. 4.0
D. 5.5
A cyclist travels at an average speed of 13 mph for 3 hours.
How far did she travel in miles?
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
12 cm
8 cm
Find the volume of the cylinder
Answer:
ubstitute the value of the radius r = 8.0 cm height h = 12.0 cm into the formula to find the volume. Pi (π) is approximately equal to 3.14 .
π x 82 cm2 x 12 cm
Raise 8 cm power of 2
π x 64.0 cm2 x 12 cm
Multiply 64.0 cm2 and 12 cm
π x 768.0 cm3
Combine π and 768.0 cm3
The result can be shown in multiple forms.
Exact Form
Volume = 768.0π cm3
∴ Volume of Cylinder radius 8 cm and height 12 cm is 768.0π cm3
Decimal Form
Volume = 2411.52 cm3
Step-by-step explanation:
Add f(x) = 4x-5 and g(x) = 2x
(f + g)(x)
Step-by-step explanation:
f(x) = 4x-5
g(x) = 2x
(f + g)(x)=f(x) +g(x)=4x-5+2x=6x-5