Answer:
The volume of cone
V = (1/3) x base area x height
= (1/3) x (diameter/2)^2 x pi x height
= (1/3) x (6/2)^2 x pi x 4.5
= 42.41 (in3)
Hope this helps!
:)
-13/20-7/5= enter the answer as an exact decimal or simplified fraction
Step-by-step explanation:
-13/20 = - 0.65
7/5 = 1.4
So
-0.65 - 1.4
= - 2.05
Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the angle
Answer: 0.75
Step-by-step explanation:
We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.
We now have a triangle with the values of:
x = 4
y =3
h^2= 4^2 + 3^2
h^2 = 16 + 9
h^2 = 25
h = 5
h = 5
Tangent = opposite/adjacent
= y/x
= 3/4
= 0.75
A tennis ball is thrown from the top of a building. The distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384. At what time is the tennis ball at the maximum height?
Answer:
The tennis ball reaches the maximum after 5secondsStep-by-step explanation:
If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.
Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;
V = dh/dt = -32t+160
at maximum height;
0 = -32t+160
32t = 160
t = 160/32
t = 5seconds
This means that the tennis ball reaches the maximum after 5seconds.
What the volume for each problem.Need help asap.
Answer:
See Below
Step-by-step explanation:
Pyramid of Gyza:
Base: 227m * 227m
Height: 150m
V=(LWH)/3
V=(227*227*150)/3
V= 7,729,350/3
V=2, 576,450 m^3
Temple of Kukulkan
Base: 55.7*55.7
Height: 29
V=(LWH)/3
V=(55.7*55.7*29)/3
V=89,972.21/3
V= 29,990.736 m^3
OVER HERE . What is 500 + 1500 - 1000 ?
Answer:
1000
Step-by-step explanation:
PLZ HELP ME ASAP W THIS !!!
Answer:
(2x+3) x (x-7)
Step-by-step explanation:
It took Jenny and her family 1 hour to drive to her grandmother’s house. Her grandmother lives about 45 miles away. At what rate did the family travel?
pls help me
Answer:
i think that the answer would be like 1,0000000 if no idk what to tell you
Step-by-step explanation:
use the formula
speed = distance ÷ time
time change in mins
1 hours = 60 mins
speed = 45 ÷ 60
speed = 0.75
A farmer plants corn in 1/4 of his field.He plants white corn 3/5 of the corn section of his field.This situation is show in the model. What fraction of the whole field with white corn?
Answer:
The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.
Step-by-step explanation:
The statement indicates that section of the white corn is a portion within the corn section of the field. The statement can be interpreted as a multiplication of rational numbers. That is to say:
[tex]x = \frac{1}{4} \times \frac{3}{5}[/tex]
[tex]x = \frac{1 \times 3}{4 \times 5}[/tex]
[tex]x = \frac{3}{20}[/tex]
The white corn section covers [tex]\frac{3}{20}[/tex] of the whole field.
Partit: Write an equation to represent the amount of money Shelly has in her account each week. Let
w represent the number of weeks Shelly deposits money into her savings account and m represent the
amount of money in her account,
1:A. Define the variables. (2 points: 1 point each)
Let w:?
Let m:?
2:B. Write an equation to represent the amount of money Shelly has in her account each week. Hint
Remember that Shelly started with $220 in the a
Answer:
Step-by-step explanation:
1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as
Tn = a + (n - 1)d
Where
d represents common difference in the amount between 2 consecutive weeks.
a = 220 represents the first term of the sequence.
Tn = w = the amount at the end of n weeks
n = m represents the number of weeks
2) The equation used to represent the amount of money Shelly has in her account each week is
w = 220 + (w - 1)d
whats x^2-144=0?
subject factoring difference of squares
help
Answer:
x = 12 x= -12
Step-by-step explanation:
x^2-144=0
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(x-12) (x+12) =0
Using the zero product property
x-12= 0 x+12 =0
x = 12 x= -12
Answer:
x = 12 or x = -12
What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?
Answer:
The vertex is at (5, -9)
Step-by-step explanation:
The vertex is halfway between the zeros
f(x) = (x-8)(x - 2)
0 = (x-8)(x - 2)
x=8 and x=2 are the two zeros
(8+2)/2 = 10/2 = 5
The x coordinate is at 5
The y coordinate is found by substituting the x coordinate into the function
f(5) = (5-8)(5 - 2) = -3 (3) = -9
The vertex is at (5, -9)
A tree is 17 feet tall. The wire runs from the top of the tree to 8.7 feet from its base. The wire is Square root 338 feet long. Estimate the length of the wire to the nearest hundredth of a foot.
Answer: 18.38 feet
Step-by-step explanation:
Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.
Mathematically speaking:
√338 = 18.3847 feet
Since the number after the hundredths place is less than 5:
Length of the wire: 18.34 feet (rounded to the nearest hundredth)
Feel free to ask for more if needed or if you did not understand something.
What system of inequalities is represented by the graph?
Answer:
y is greater than or equal to 0.5/2.5x-1/2
y is greater than -2x
Step-by-step explanation:
La trayectoria de un cuerpo en movimiento rectilíneo está determinada por: s = 115t + 12t^3 en metros y segundos. Determina la aceleración del cuerpo a los 12 segundos de origen.
Answer:
a = 864 m/s^2
Step-by-step explanation:
You have the following equation for the motion of a body:
[tex]s(t)=115t+12t^3[/tex]
The acceleration of the body is given by the second derivative of s(t):
[tex]\frac{ds}{st}=115+12(3)t^2=115+36t^2\\\\\frac{d^2s}{dt^2}=\frac{d}{dt}\frac{ds}{dt}=36(2)t=72t\\\\a(t)=72t[/tex]
After t = 12 s you obtain for the acceleration:
[tex]a(t=12)=72(12)=864\frac{m}{s^2}[/tex]
hence, the acceleration is 864m/s^2 for t=12s
Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4
sandwiches and 2 cups of coffee for $23. How much does one cup of coffee
cost?
Answer:
Step-by-step explanation:
4s + 2c = 23
3s + 5c = 32
System of equations?
Which chart could represent the function f(x)=-2x+6
Answer:
I think that answer is (4).
Explanation:
Since the slope is negative, as x increases, the function decreases. It also has a y-intercept at 6 so that would eliminate option 2 and 3. Option 1 would not work because the function is increasing.
I hope I helped you! Please mark me brainliest if I am correct. Thanks!
Answer:
option 4
Step-by-step explanation:
Because the slope is negative, as x increases, the function decreases. It also has a y intercept at 6 so that would cancel option 2 and 3. Option 1 would not work because the function is increasing.
7 identical toys weigh 1.4 kg.
a) Convert 1.4 kg to grams.
b) What is the weight of one toy?
Give your answer in grams.
c) How much would 3 toys weigh?
Give your answer in grams.
Answer:
a] 1400 grams
b] 200 grams
c]600 grams
Step-by-step explanation:
1.4 x 1000=1400 grams
1.4 divide by 7 is 0.2 kg
0.2 x 3 = 0.6 x 1000=600 grams
The spinner to the right is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.
Based on the data, what is the experimental probability of landing on yellow?
You may give your answer as a simplified fraction, decimal, or percent.
Answer:
1/10 or 0.10 or 10%
Step-by-step explanation:
Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.
Hope this helps! :)
joe bbq sells bbq by the pound michelle buys 8.75 worth of sides and then she get six pounds of bbq if her total was is 40. 55 how much was each pound of bbq
First, we need to set up an equation.
6x + 8.75 = 40.55
Then, we use the equation to solve for how much a pound of BBQ costs.
To move 8.75 to the other side, we have to subtract 8.75 from both sides of the equation.
6x = 40.55 - 8.75
6x = 31.8
Next, we divide both sides by 6 to get the value of x.
6x/6 = x
31.8/6 = 5.3
Lastly, add the correct unit.
$5.3.
Therefore, the price per pound of BBQ is $5.30
Solve for s.
15.32 − 8.4s = –9.65 + 14.3s
Answer:
s = 1.1
Step-by-step explanation:
To solve this, we will need to begin by isolating the variable. Move s to one side, and constants to the other.
15.32 - 8.4s = -9.65 + 14.3s
Add 8.4s to both sides, and 9.65 to both sides, giving us:
24.97 = 22.7s
Dividing both sides by 22.7 results in:
s = 1.1
So the right answer is 1.1
look at the attached picture
hope it will help you
good luck on your assignment
Find the missing angle x.
a.540°
b. 377°
c. 121°
d. 163°
Answer:
163°
...............
Answer:
163
Step-by-step explanation:
Evaluate g(f(-2)) for f(x)=3x-4 and g(x)=-2x+7
Step-by-step explanation:
work is pictured and shown
An amount of $37,000 is borrowed for 6 years at 5% interest, compounded annually. If the loan is paid in full at the end of the period, how much must be paid back?
Rounded answer please
==============================================================
Work Shown:
P = 37000 is the principal (aka amount loaned out)
r = 0.05 is the interest rate in decimal form
t = 6 is the number of years
n = 1 tells us we are compounding 1 time per year (aka annual compounding)
Those four values are plugged into the formula below and you use a calculator to simplify
A = P*(1+r/n)^(n*t)
A = 37000*(1+0.05/1)^(1*6)
A = 49583.538703125
A = 49583.54 is the full amount to pay back
Side note:
The amount of interest paid is A - P = 49583.54 - 37000 = 12583.54
NEED HELP ASAP DUE NOW HELPP!!! GIVING BRAINLIST
Answer:
-4,3,0,4.8
Step-by-step explanation:
Answer giving from left to right starting from top left.
Explanation shown in the attachment for articulating the inequality sign.
Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)
Answer:
y= -1/3x+3
Step-by-step explanation:
Old homework answers.
reciprocal of -2/3^6
Answer:
The answer is -729/2
Step-by-step explanation:
The volume of a cylinder can is 1.54 litre and area of base is 77cm^2 Find its height
Answer:
The height is 20 cm.
Step-by-step explanation:
First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :
[tex]v = 1.54 \: l[/tex]
[tex]v = 1540 \: {cm}^{3} [/tex]
[tex]v = \pi \times {r}^{2} \times h[/tex]
Let πr² be 77,
Let v be 1540,
[tex]1540 = 77 \times h[/tex]
[tex]77h = 1540[/tex]
[tex]h = 1540 \div 77[/tex]
[tex]h = 20 \: cm[/tex]
Lena has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Lena just saw a sign that said the park is 10 miles away, so the drive is almost over. If Lena's father drives 50 miles per hour, how many more minutes will it take to reach the park
Answer:
it will take her family 12 minutes
Step-by-step explanation:
i hope this helps
Find the endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (−2,−2)
Midpoint: (4,0)
Answer:
Endpoint A (10,2)
Step-by-step explanation:
A(x,y)
Endpoint (-2,-2)
Midpoint (4,0)
(-2+x)/2=4, -2+x=8, x=8+2,x=10
(-2+y)/2=0, -2+y=0,y=2
so A (10,2)
PLZ PLZ HELP! What is m XY?