Answer:
Exact: [tex] 11 \pi~in.^2 [/tex]
Approximate: [tex] 34.6~in.^2 [/tex]
Step-by-step explanation:
The spaces the clocks occupy on the wall are the areas of the clocks.
The clocks are shaped like circles, so use the formula for the area of a circle to find the two areas. Then subtract the smaller area from the larger area.
[tex] A_{circle} = \pi r^2 [/tex]
Larger clock, r = 6 in.
[tex]A_{large~clock} = \pi \times (6~in.)^2 = 36 \pi ~in.^2 = 113.1~in.^2[/tex]
Smaller clock, r = 5 in.
[tex]A_{small~clock} = \pi \times (5~in.)^2 = 25 \pi ~in.^2 = 78.5~in.^2[/tex]
Difference in areas:
Exact: [tex] 36 \pi~in.^2 - 25 \pi~in.^2 = 11 \pi~in.^2 [/tex]
Approximate: [tex] 113.1~in.^2 - 78.5~in.^2 = 34.6~in.^2 [/tex]
Expand and simplify (x+3)(x-4)
Answer:
Step-by-step explanation:
Use FOIL method.
F - First ; O - Outside ; I - inside ; L - last
(x + 3)(x - 4) = x*x + x*(-4) + 3*x + 3*(-4)
= x² - 4x + 3x - 12
= x² - x - 12
Find y when x = -3 for the following equation: y = 6x + 8 PLS HELP ASAP
Answer:
y= -10
Step-by-step explanation:
y=6(-3)+8
y=-18+8
y= -10
The ratio of two supplementary angle is 3:1. Find the measures of both angles.
Answer:
The sum of two angle is 180 (supplementary)
given angle = 3:1
first angle =3x
2 nd angle=1x
3x+1x =180
4x =180
x = 180/ 4
x = 45
so first angle =3x x = 45
= 3×45
= 135 degree
2nd angle = 1x
=45 degree
ans
Both angles are 135 and 45
Step-by-step explanation:
Please help! Brainliest, stars, and hearts! Explain please! I GIVE BRAINLIEST if CORRECT!
Answer:
x=31
Step-by-step explanation:
3x+25+2x=180°
=5x=155°
x=155/5
x=31
Plz help ill give you all my points plzzzzzz help
Answer:
100
Step-by-step explanation:
340 - (4 * 60) = 100
A cheetah can run 350 miles in 5 hours. What is its unit rate in miles per hour?
Answer:
70 MPH
Step-by-step explanation:
Simply divide 350 by 5.
350/5 is 70.
Answer: 70 mph
Step-by-step explanation:
3
50%
Draw angle ABC of size 65º.
A-
B
X+
65* It is drawn with a round ruller...
What is my decimal number if I have 8 in tenths place, 2 in thousandths place and 7 in hundreds place?
Answer:
0.872
Step-by-step explanation:
8 is in the tenths place and that's the first slot for decimals then 7 is in the hundredths place and 2 in the thousandths = 0.872Can someone help me answer these questions
Answer:
d
d
d
d
THERE ALL D
Step-by-step explanation:
Layla earned an 80% on a recent math
quiz. She scored 16 points. How many
total points were there on the quiz?
I think it might be 20???
Name:
Date:
Bell:
** This is a 2-pa
1. The length of a rectangle is 4 meters less than
twice its width. The area of the rectangle is
70 m2. Find the dimensions of the rectangle.
Answer:
length is 10, width is 7
Step-by-step explanation:
Area of a rectangle = length * width = lw
Area is known to be 70
length = twice width - 4 = 2w-4 = l
width=w
so A = lw = (2w-4)w = 70
(2w-4)w=70
2w^2-4w=70
2w^2-4w-70=0, divide by 2
w^2 - 2w - 35 = 0, not sure how your class solves these, I see visually
(w-7)(w+5)=0
w=7 or w=-5, -5 makes no sense in the real world (negative length), so w=7
l = 2w-4 = 2(7)-4 = 14-4 = 10
Which value of x makes the equation
-5x = -35 true?
What’s the size of angle x
Answer:
the answer of your question x=47
Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a
kitchen cabinet set in 1/5 of an hour.
How many kitchen cabinet sets can be installed by her workers in 1 hour?
Express your answer as an improper fraction.
Answer:
10/3 of the cabinet
Step-by-step explanation:
Given data
We are given that in 1/5 hour they can install 2/3 kitchen cabinet
We want to find out how many of the kitchen cabinet they can install in one hour
Hence
in 1/5 hour they installed 2/3 cabinet
in 1 hour they will install x cabinet
cross multiply
x* 1/5= 2/3
divide both sides by 1/5
x= 2/3/1/5
x= 2/3*5/1
x= 10/3 of the cabinet
Find the HCF of terms and factorise: 20x3 – 40x2 + 80x
Answer:
The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)
Step-by-step explanation:
20x³ - 40x² + 80x
= 20x(x² - 2x + 4)
What is the slope of the line that passes through the points (9,6) and
(5, -8)?
The price of a gallon of gasoline is $3.15. The price when Ryan's mother started driving was of the current price. What was the price of gasoline when Ryan's mother started driving?
Answer:
2/7, $0.23
Step-by-step explanation:
Answer:
0.48
Step-by-step explanation:
i got it right
Answer the two questions below. Show ALL of your work.
(a) John and Stan were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone? (Show your work. Remember you can draw a picture to help you solve the problem.)
(b) The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of the sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)
Answer A: 84π
Answer B: I'm also confused. If anyone else knows can you please help me also. Sorry for not answering B. I hope this helps though.
Step-by-step explanation:
Answer A:
V=1/3π 6^2 (7) Since 12 is a diameter you half it which is 6
V=1/3π 36(7)
V=1/3π 252
V= 252π/3
V=84π
4/5 cm * 3/8 cm
please answer fast
Answer:
= 3/10 cm or you can put 0.3 cm
how much higher is -200 than 450m
Answer:
It's not. -200 isn't higher but if you're asking how much higher 450 is over -200, then it would be 650 meters
2.
Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $4 for
children. Ninety-four adults and children attended, and $592 was made in ticket sales. How
many children and how many adults went to the film premiere?
Answer:
72 adults
22 children
Step-by-step explanation:
Let c = no. of children
a = no. of adults
Then 4c = total sales for the children and
7a = total sales for the adults
So, a + c = 94 and 7a + 4c = 592
-4a - 4c = -376
3a = 216
a = 72 adults
72 + c = 94
c = 22 children
Theo starts with savings of £18. James starts with no savings.
Each week from now,
Theo will save £4.50 and James will save £4
In how many weeks will Theo and James have savings in the ratio 15:8 ?
(Simple way to work it out please)
Answer:
6 weeks
Step-by-step explanation:
Theo savings = 18 + 4.50x
James = 4x
where x = number of weeks
Theo : James = 15 : 8
18 + 4.50x : 4x = 15 : 8
(18 + 4.50x ) / 4x = 15 / 8
Cross multiply;
8 (18 + 4.50x) = 15 (4x)
144 + 36x = 60x
60x - 36x = 144
24x = 144
x = 144 / 24 = 6 weeks
The mode and median of the data set below have the same value. What is the missing number?
[4, 15, 7, 13, ?, 10
please someone help!
Find the volume of the sphere.
Either enter an exact answer in terms of pie or use 3.14 for Pie
Please please help me
Answer:
The volume of a sphere is 4/3 * πr³
With a radius of 3, you've got:
4/3 × π3³
= 4/3 × π × 27
= 4 × π × 9
= 45π
If f(x)=x+5, what is f-'(x)?
Step-by-step explanation:
Given
f(x) = x + 5
Let
y = f(x)
y = x + 5
Interchanging the roles of x and y we get
x = y + 5
y = x - 5
f^-1 (x) = x - 5
Hope it will help :)
HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2
Answer:
Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.
I can not Put Out The Points So Im sorry.
NEED HELPP PLZZZZZZZZ
Answer:
Step-by-step explanation:
Answer:
radius = diameter/2
diameter =6
radius=6/2=3
answer 3 units
Find a.
Round to the nearest 10th.
its not 46.5!!
Answer:
a = 24
Step-by-step explanation:
sin 12° / 10 = sin 150° / a
cross-multiply:
a · sin 12° = 10 · sin 150°
a = 5 / sin 12°
a = 24
Answer:
a = 24
Step-by-step explanation:
This is for the guy that wants brainliest :)
The cost of 2 bottles of water and 4 apples is $5.50. The cost of 3 bottles of
water and 5 apples is $7.50. Find the cost of one apple and the cost of one
bottle of water
Answer:
The cost of one bottle of water is $1.25
The cost of one apple is $0.75
Step-by-step explanation:
Find the missing term.
... 14,_. 15,-..
0.5
1
14.5
29
Answer:
14.5
Step-by-step explanation:
it is literally in the middle of 14 and 15