Step-by-step explanation:
it is a combination of a cone and half a sphere.
the volume of a cone is
ground area × height / 3
the ground area is a circle, so we have
pi×r²×h/3
in our case
pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi
the volume of a sphere is
4/3 × pi×r³
and half a sphere is then
4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³
in our case
2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi
together we get
100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =
= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³
if we use 3.14 for pi we get
575.6666666... cm³ ≈ 576 cm³
The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.
Answer:
35 hours
Step-by-step explanation:
six bags of flour and 4 bags of sugar weighs 64 pounds 8 bags of flour weigh 64. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of one bag of flour to one bag of sugar ?
Answer:
the ratio of one bag of flour is 8
The mean length of 10 childrens' index finger is 12.6cm.
The mean length of 6 adults' index finger is 16.1cm.
What is the mean length (rounded to 2 DP) of these 16 people's index finger?
Get total lengths by multiplying:
10 x 12.6 = 126
6 x 16.1 = 96.6
Add the total lengths together and divide by 16:
126 + 96.6 = 222.6
222.6 / 16 = 13.9125
Rounded to 2 decimal places = 13.91
answer: 13.91
Ramesh lent a loan of Rs 1800 to Suresh at a rate of interest for 2 years. At the end of period Suresh refunded him a total of Rs 2232. At what rate of interest had Ramesh lent the loan? Ans: 12%
Answer:
12%
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = Rs 2232P = 1800t = 2Substitute given values into the formula and solve for r:
⇒ A = P(1 + rt)
⇒ 2232 = 1800(1 + r · 2)
⇒ 1.24 = 1 + r · 2
⇒ 0.24 = 2r
⇒ r = 0.12
Convert into percentage:
0.12 = 12/100 = 12%
Round of to the numbers as indicated:
1. 48521
To nearest 10:
To nearest 100:
To nearest 1000:
1. 674502
To nearest 10:
To nearest 100:
To nearest 1000:
3. 3875
To nearest 10:
To nearest 100:
To nearest 1000:
Answer:
See below.
Step-by-step explanation:
1. 48521
To nearest 10: 48520
To nearest 100: 48500
To nearest 1000: 49000 (8 goes up to 9 becasue of the 5)
1. 674502
To nearest 10: 674500
To nearest 100: 674500
To nearest 1000: 675000
3. 3875
To nearest 10: 3880
To nearest 100: 3900
To nearest 1000: 4000
To nearest 10:
= 48520
To nearest 100:
= 48500
To nearest 1000:
= 49000
1. 674502To nearest 10:
= 674500
To nearest 100:
= 674500
To nearest 1000:
= 676000
3. 3875To nearest 10:
= 3880
To nearest 100:
= 3900
To nearest 1000:
= 4000
(if the number your rounding is higher than 5, round the number up)
whats 2+7
a. 14
b. 19
c.88383838837
Answer:
9
Step-by-step explanation:
Was this a joke or something
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth of $3.20 per pound. what is the cost per pound of the blend?
$4.04 is the answer.
30 x $6.00 = $180
70 x $3.20 = $224
$180 + $224 = $404
404/100 = $4.04
The cost per pound of the blend will be $4.04.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.
Then the cost per pound of the blend will be
⇒ 30 x $6.00 + 70 x $3.20
⇒ $180 + $224
⇒ $404
The cost per pound of the blend will be
⇒ $404 / 100
⇒ $4.04
The cost per pound of the blend will be $4.04.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.
Answer: B
Step-by-step explanation:
Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=
Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:
[tex]a_n = 14 + 4(n - 1)[/tex]
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:
[tex]a_n = 14 + 4(n - 1)[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
The vertices of a rectangle are W(1,2), X(4,2), 7(4, -3), and Z(1, -3). Find the perimeter of the
rectangle. Use words, numbers, or models to justify your answer.
Answer:
16
Step-by-step explanation:
We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Answer:
19.2 or 19.20
Step-by-step explanation:
Side 25=hypotenuse because it is across from the rightness of the triangleThis means that teh unknown side is a leg, as well as the side that says 16This makes our equation: a²+16²=25²Next we solve16²=256 and 25² is 625 so now our equation is a²+256=625We then subtract 256 from both sides which leaves us with x²=369To find the value of x, we take the square root of both sides. This leaves us with X=19.2HELPPPPPP PLEASE! URGENT
Answer:
x=59 y= 81 z= 99
Step-by-step explanation:
z=
180-(57+24)=99
y=180-99=81
x= 40+81=121
180-121=59
A clothing store sells shirts with long, short, or no sleeves. Each style is available in gray, red, or pink. A clerk incorrectly states the sample space for the possible color and sleeve styles as (gray, long), (gray, short), (red, long), (red, short), (pink, long), and (pink, short). Use a table to show the sample space. What error did the clerk make?
Need asap
A $70,000 mortgage is $629.81 per month. What was the percent and for how many years?
9%, 20 years
9%, 30 years
7%, 20 years
9%, 25 years
The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.
How can the monthly payments be calculated?The monthly payments can be computed using the present value annuity table or formula.
However, to compute the percent interest and the maturity period, we can use an online finance calculator as below by inputting the calculated monthly payments.
Thus, at an interest rate of 9% for 20 years and a monthly payment of $629.81, the present value of $70,000 will be equal.
Data and Calculations;N (# of periods) = 240 (20 years x 12)
I/Y (Interest per year) = 9%
PMT (Periodic Payment) = $629.81
FV (Future Value) = $0
Results:
PV = $70,000.20
Sum of all periodic payments = $151,154.40 ($629.81 x 240)
Total Interest $81,154.20
The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.
Learn more about periodic payments at https://brainly.com/question/24244579
i need answer please
Answer:
Below in bold.
Step-by-step explanation:
Radius of the pizza = 1/2 * 8 = 4 in.
Area of the whole pizza = π r^2
= π * 4^2
= 8 π
So if you take 1/8 away
the area left = 7/8 * 8 * π
= 7π
Taking π to be 22/7:
= 7 * 22/7
= approximately 22 in^2.
3 and 3/4 - 2 and 1/5
Answer:
[tex]3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ \frac{15}{4 } - \frac{11}{5} \\ \\ \frac{75}{20} - \frac{44}{20} \\ \\ = \frac{31}{20} = 1.55 = 1 \frac{11}{20} [/tex]
Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool
help me out please ty!
Answer:
a5 = 2604
Step-by-step explanation:
a1 = 4
a2 = -5(4)-1 = -21
a3 =-5(-21)-1 = 104
a4 = -5(104)-1 =-521
a5 =-5(-521)-1 = 2604
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:a1 = 4[/tex]
Now, let's proceed next till we get[tex] \tt a_5 [/tex]
[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5[/tex]
[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5[/tex]
[tex]\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5[/tex]
[tex]\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5[/tex]
[tex]\qquad \tt \dashrightarrow \: a_2 = - 11[/tex]
Similarly,
[tex]\qquad \tt \dashrightarrow \: a_3 = 49[/tex]
[tex]\qquad \tt \dashrightarrow \: a_4= - 191[/tex]
Now, let's solve for [tex]\tt a_5 [/tex]
[tex]\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5[/tex]
[tex]\qquad \tt \dashrightarrow \: a_5= 764 + 5[/tex]
[tex]\qquad \tt \dashrightarrow \: a_5= 769[/tex]
Help me please I do not understand this assignment
Answer:
Step-by-step explanation:
Equation: y = 20x
y = # of gallons
x = minutes
6.
So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:
x = 0 mins:
y = 20x
y = 20(0)
y = 0 gallons
(0, 0)
x = 1 min.
y = 20x
y = 20(1)
y = 20 gallons
(1, 20)
x = 2 mins.
y = 20x
y = 20(2)
y = 40 gallons
(2, 40)
x = 3 mins.
y = 20x
y = 20(3)
y = 60 gallons
(3, 60)
x = 4 mins.
y = 20x
y = 20(4)
y = 80 gallons
(4, 80)
7. View the attached graph
8. Predict the amount of water in the tank after 6 mins.
We use the same equation, y = 20x for this question
y = 20x
y = 20(6)
y = 120 gallons
(6, 120)
8. Linear ==> straight line
Non-linear ==> anything other than a straight line (curved line)
As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.
Hope this helps!
plss help me noww if you can
Answer:
i cant see the picture at all
Step-by-step explanation:
A buoy starts at a height of 0 in relation to sea level and then goes up. its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds? h = 4 sine (startfraction pi over 6 endfraction t) h = 4 sine (startfraction pi over 3 endfraction t) h = 6 sine (startfraction pi over 4 endfraction t) h = 6 sine (startfraction pi over 2 endfraction t)
The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A buoy starts at a height of 0 in relation to sea level and then goes up.
Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.
Then we have
[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]
The maximum displacement of the buoy in either direction is 6 ft, then we have
[tex]h=6 \times \sin \omega t[/tex]
The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.
Then we have
[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]
Then the h will be given as
[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
.
The dimensions of a triangle are shown below.
What is the area of the triangle?
Step-by-step explanation:
pls put the image as well becoz the dimensions are not shown
If the sample regression equation is found to be yˆ = 10 + 2x, what is the estimated value of Y if x = 5?
The sample regression y = 10 + 2x is a linear regression equation
The estimated value of y if x = 5 is 20
How to estimate the value of y?The sample regression equation is given as:
y = 10 + 2x
When x = 5, the equation becomes
y = 10 + 2 * 5
Evaluate the product
y = 10 + 10
Evaluate the sum
y = 20
Hence, the estimated value of y if x = 5 is 20
Read more about regression equations at:
https://brainly.com/question/25987747
of The marked price of a pair of shoe is Rs480. Shopkepper allow discount 10% on shoe find how much should for the shoes after discount a customer pay.
Answer:
$48.
Step-by-step explanation:
$480-$48
=$432
after the discount
What is the volume of this cone? use 3.14 for π and round your answer to the nearest tenth. in your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answer:
Volume of a cone = 1/3•pi r•r•h
V = 1/3•pi•2•2•8
V = 33.49333333333333
V = 33.5 inches squared
I hope this helps! Have a good day! :)
The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
How to find volume of a right circular cone?Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]
Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The missing image for this problem is attached below.
For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3[/tex]
(rounded to the nearest tenth, which is first place to right of the decimal point.
Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
Learn more about volume of a cone here:
https://brainly.com/question/26093363
HELPPP!!!! URGENTT!!!!
Answer:
The answer is the 1
Step-by-step explanation:
She has a less chance because there are 4 questions with 4 answers so that decreased her chances.
find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
If bryan ate 3\8 of a pizza, and d'marjay ate 3\6 of the same pizza, who ate more pizza?
Answer:
d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more
Answer: 3/6
Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.
What is the area of the beach ball with a diameter of 14 in. ?
Answer:
The answer is 675.75 square Inches
Step-by-step explanation:
Given;Diameter (d) = 14 in.To Find;Area of beach ball = ?Formula;Area = 4πr²Now,
Radius (r) = diameter ÷ 2
r = 14/2 in.
r = 7 in.
Now,
A = 4πr²
A = 4 × 22/7 × (7)² in.
A = 4 × 22 × 7 in.
A = 615.75 square in.
Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.
Answer:
615.8 in²
Step-by-step explanation:
The area of a sphere is given by the formula ...
A = 4πr² . . . . . sphere of radius r
In terms of diameter, the area is ...
A = 4π(d/2)² = πd²
__
For a diameter of 14 inches, the area of the beach ball is ...
A = π(14 in)² = 196π in² ≈ 615.8 in²
The area of the ball is about 615.8 square inches.
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answer:
She answered 8 of them correctly.
Step-by-step explanation: