Answer:
1 7142.699082ft³ (C)
2 1063.420642cm³ (A)
Step-by-step explanation:
Hey There!
1. So for the first one we want to find the volume of the rectangular pool and the volume of the semi cylinder
The dimension given are
length - 45
width - 30
height - 5
to find the volume we use
[tex]V=lwh[/tex]
[tex]45*30=1350\\1350x5=6750[/tex]
so the volume of the rectangular pool is 6750ft³
now we need to find the volume of the semi cylinder
the dimensions given are
diameter - 20
height - 2.5
so we find the volume by using the volume for a cylinder then dividing by 2
the volume for a cylinder formula is
[tex]V=\pi r^2h[/tex]
r = radius
h = height
to find the radius given the diameter we just divide by 2
20/2=10 so the radius is 10
now we just plug in the values and get
[tex]V=\frac{1}{2} \pi 10^22.5[/tex]
Note: the 1/2 is added because were finding the volume of a semi cylinder
[tex]10^2=100\\100(2.5)=250\\250\pi =785.3981634\\\frac{785.3981634}{2} =392.6990817[/tex]
So the volume of the sitting area is 392.6990817
Now that we have found the volume of each part we add them together to get the answer
[tex]392.6990817+6750=7142.699082[/tex]
2. For the second one we need to find the volume of the cylinder and subtract it by the volume of the tennis ball..s times 4 ( because there are 4 of them)
For the cylinder we are given the dimensions
height - 39.5
diameter - 9.5
Remember this is the formula of the volume of a cylinder
[tex]V=\pi r^2h[/tex]
r =radius
h = height
to convert diameter to radius we divide by 2
9.5/2=4.75
now we plug in the values
[tex]V=\pi 4.75^239.5\\4.75^2=22.5625\\22.565(39.5)=891.21875\\891.21875\pi =2859.100642[/tex]
so the volume of the container is 2859.100642cm³
now we need to find the volume of the tennis ball
to do this we use the formula
[tex]V=\frac{4}{3} \pi r^3[/tex]
we are given the dimensions of
diameter - 9.5
once again to convert to radius we divide by 2
9.5/2=4.75
now we plug in the values
[tex]V=\frac{4}{3} \pi 4.75^3\\4.75^3=107.171875\\107.171875\frac{4}{3} =142.8958333\\142.8958333\pi =448.9205002\\448.9205002(4)=1795.682001[/tex]
So the volume of the tennis bal...ls is 1795.682001
note: i multiplied by 4 because there are 4 tennis bal...ls
our final step is to subtract the volume of the bal...ls from the container
2859.100642-1795.682001=1063.420642
hope this helps :)
PLEASE HELP NOW I NEED TO KNOW THIS OR ILL HAVE TO GO TO SUMMER SCHOOL!!!!!!!
Answer:
BXZ= 75
AYX=44
B= 61
Step-by-step explanation:
B=180-(75+44)
=61
they are all equal.
what the heck guys please help me
Answer:
10, 12, 13, 20
Step-by-step explanation:
The scale of this map is 1 cm = 2 miles. Use your ruler to determine the distance from Espanola to Penasco, without going through Chimayo.
A.
7.2 miles
B.
25.8 miles
C.
12.9 miles
D.
18.6 miles
Answer:
the answer is c I hope this helps:)
Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd
Carlos' grandmother will give him $20 plus $5 for every hour that he completes yard work. This situation can be described by an equation of the form y = mx + b, where x = the time in hours and y = the total amount of money earned. What is the value of b in this equation?
Answer: b= 20
Step-by-step explanation:
y= 5x + 20
Identify the domain of the function pictured below.
A record with a diameter of 12 inches rotates at 33 revolution per minute find the angular speed of the record in radians per second
9514 1404 393
Answer:
1.1π radians/second
Step-by-step explanation:
Each revolution is 2π radians, and there are 60 seconds in a minute. The rotation rate is ...
(33 rev/min)×(2π rad/rev)×(1 min)/(60 sec) = 66π/60 rad/sec
= 1.1π rad/sec
The angular speed is 1.1π radians per second.
What is 3 to the power of 9 ?
Answer:
3 to the power of 9 = 19,683
Step-by-step explanation:
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3= 19,683
hope this is helped
if it did let me know if it was right
and mark brainlest
PLS HELP I WILL MARK BRAINLIST!!
Answer:
C, 105
Step-by-step explanation:
45 divided by 3 is 15 so 15 x 7 = 105 minutes.
Write a quadratic function that reflects the x axis, stretches by a factor of 5, and shifts left 6 and up 3
Answer:
y=(x+6)^5+3
Step-by-step explanation:
Please help! It’s due soon!
Answer:
0.083
Step-by-step explanation:
151 divided by 1800 is 0.083
might be wrong WARNING
Solve for the zeroes of the following function by factoring or quadratic formula f(x)=x2+10x+16
Answer:
(+2)(+8)
Step-by-step explanation:
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
I need help PlEaSeEe
Bethany has a sticker book with 200 pages.
Each sticker takes up 1/8 page. How many stickers can she put in the book?
A.
250 stickers
B.
25 stickers
C.
1,600 stickers
D.
1,000 stickers
Answer:
25 stickers.
Step-by-step explanation:
I hope this helps! Maybe you can mark this brainly? Hope you have a amazing day! <3
PLEASE HELP WILL MARK BRAINLIEST!!!!
The measure of an angle is 37.1º, What is the measure of its complementary angle?
Answer:
52.9º
Step-by-step explanation:
complementary is when the sum of two angles is 90 degrees
to solve, simply take 37.1 and subtract it from 90:
⇒ 90 - 37.1
⇒ 52.9
. The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer
Answer:
She should offer a guarantee of 13.76 years.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that [tex]\mu = 10, \sigma = 2[/tex]
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.88 = \frac{X - 10}{2}[/tex]
[tex]X - 10 = 2*1.88[/tex]
[tex]X = 13.76[/tex]
She should offer a guarantee of 13.76 years.
A football field is 100 yards long. How many feet is that?
1 yard=3 feet so 100 yard=300 feet
Answer:
Step-by-step explanation:
Gallon is more
help pleasee!!!!!!!!!!!!!!!!!!
Answer:
76 because if the two lines are parallel then x = 76
hope this helps and brainliest please
7) A container is 1/3 full of water and 1/4 full of oil. What fraction of the container is empưy?
Answer:
[tex]Empty = \frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]Water = \frac{1}{3}[/tex]
[tex]Oil = \frac{1}{4}[/tex]
Required
The fraction that is empty
The constituent of the water can be represented as:
[tex]Water + Oil + Empty = 1[/tex]
Make Empty the subject
[tex]Empty = 1 - Water - Oil[/tex]
Substitute values for Water and Oil
[tex]Empty = 1 - \frac{1}{3} - \frac{1}{4}[/tex]
Take LCM
[tex]Empty = \frac{12 - 4 - 3}{12}[/tex]
[tex]Empty = \frac{5}{12}[/tex]
Mrs. Egan is saving money for a new television. She already has $110 in the bank. She is going to save $65 per week. Write an equation that represents Mrs. Egan's savings account
4. Find the percent of increase from 56 to 70. Round your answer
to the nearest tenth of a percent.
Answer:
25%
Step-by-step explanation:
The population of a town can be modeled by the function P= 16,512(1.03)' where t'is
the number of years after 2006. What is the significance of the value 16,512?
Answer:
The answer is C
Step-by-step explanation:
In a deck of 52 cards there are 2 jokers and 4 each of the number cards 1-10. The probability of picking a joker is 2 out of 52 or 2/52. Write as a fraction, the probability of drawing a number 7 card.
Answer:
1/13
Step-by-step explanation:
The number 7 cards= 4 of them
Total number of cards= 52
4/52 are 7's
Simplify 4/52>>>>2/26>>>>1/13
Hope this helped! Please give a brainly if you can <33
Find the measurement of Angle SPQ
Answer:
146 °
Step-by-step explanation:
sum of angles in circle = 360°
360 - 154-60-86 = 60
60 = UPS
SPQ = UPS + QUP = 60 + 86 = 146°
Please help ...........
Answer:
B
Step-by-step explanation:
Monica has a cylindrical container full of marbles. The container is shown below.
10 cm
The height of the container is approximately 12 centimeters. Which is closest to
the volume of Monica's container, in cubic centimeters?
Answer:
Area of a circle is pi * [tex]r^{2}[/tex]
then multiply that by the height
Step-by-step explanation:
diameter = 10
radius is diameter / 2
r = 10/2 = 5
A = pi * [tex]5^{2}[/tex]
A = 78.5398
height * A = volume
12 * 78.5398 = 942.477
So about 942 , answer 3 looks right :) sorry I got to your question late, send me a note , when you have a question, so I'll see :)
in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how many students are wearing a shirt other than blue or white
Answer:
6
Step-by-step explanation:
1/6 of 36=6
2/3 of 36= 24
24+6=30
36-30=6
help me please!!! thank you!!!
Answer:
254.47 inches squared
Step-by-step explanation:
Area of a circle is
[tex]\pi {r}^{2} [/tex]
so to find the radius we half the diameter( which here is 18 inches) which equals to 9
we replace r to 9 because that's the radius
[tex]\pi \times {9}^{2} [/tex]
which is 254.47 inches squared
solve for X
please answer will give brainliest!!
Answer:
x=19.55
hope it help you..
Answer:
19.55
Step-by-step explanation:
x/8.5 = 2.3
x = 8.5 × 2.3
x = 85 × ⅒ × 23 × ⅒
x = 85 × 23 × ⅒ × ⅒
x = 1955 × 1/100
x = 1955/100
x = 19.55
13. You are buying plants and soil for your garden. The soil costs $4.00 per bag and the plants cost $10.00 each. You want to buy at least 5 plants and can spend no more than $100.00 total
Answer:
Part a) The system of linear inequalities is
y\geq 5y≥5
4x+10y\leq 1004x+10y≤100
Part b) The graph in the attached figure
Part c) A solution could be (5,7) (see the explanation)
Step-by-step explanation:
The complete question is
You are buying plants and soil for your garden. The soil cost 4.00 dollars per bag and the plants cost 10.00 each. You want to buy at least 5 plants and can spend no more than10.00each.Youwanttobuyatleast5plantsandcanspendnomorethan100
a) write a system of linear inequalities to model the situation
b) Graph the system of linear inequalities
c) Identify and interpret a solution to the system
Part a) write a system of linear inequalities to model the situation
Let
x -----> the number of bags of soil
y ----> number of plants
we know that
The word "at least" means "greater than or equal"
y\geq 5y≥5 ----> inequality A
The word "no more" means "less than or equal"
4x+10y\leq 1004x+10y≤100 ----> inequality B
Part b) Graph the system of linear inequalities
we have
y\geq 5y≥5 ----> inequality A
4x+10y\leq 1004x+10y≤100 ----> inequality B
using a graphing tool
the solution is the triangular shaded area
see the attached figure
Part c) Identify and interpret a solution to the system
we know that
If a ordered pair is a solution to the system, then the ordered pair must lie on the shaded area of the solution
i take the point (5,7)
the point (5,7) lie on the shaded area of the solution
so
is a solution of the system
That means ----> You are buying 5 bags of soil and 7 plants for your garden
Verify the solution
Remember
If a ordered pair is a solution to the system, then the ordered pair must satisfy both inequalities
Verify inequality A
7\geq 57≥5 ----> is true
so
The ordered pair (5,7) satisfy inequality A
Verify inequality B
4(5)+10(7)\leq 1004(5)+10(7)≤100
90\leq 10090≤100 ---> is true
so
The ordered pair (5,7) satisfy inequality B
therefore
The ordered pair (5,7) is a solution to the system