Volume is a three-dimensional scalar quantity. The volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone with a base radius of 4 ft. and height of 8 ft. can be written as,
Volume = (π/3)×(Radius)²×Height
= (π/3)×(4)²×8
= 134.0412 ft³ ≈ 134 ft³
Hence, the volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.
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To convert a distance between miles and feet, you can use the equation f=5280m. In this equation, what is the role of f
#1 Find each angle measure in the triangle. 3x⁰ 2x° 4x° The measure of the angle labeled 2xº angle labeled 3x° is Previous K °. The measure of the . The measure of the angle labeled 4x° is S Next
you have to answer it in less then 6 minutes
please
3x° is 60° , 2x° is 40° and 4x° is 80°
How to determine the angles
Note that the sum of angles in a triangle is 180°
Solve for x in the triangle
Then,
3x° +2x° + 4x° = 180°
Add the x°
9x° = 180°
Divide both sides by 9
x° = 180÷ 9 = 20°
If x° = 20
Then 3x° = 3× 20 = 60°
2x° = 2 × 20 = 40°
4x°= 4× 20 = 80°
Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°
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y=x^2+5x-8 to factored form
Answer:
Factor and set each factor equal to zero. Y=x2+5x−8
Step-by-step explanation:
Which of these is a recurring cost of car ownership?
A. Windshield replacement
B. Driver's license application fee
C. Gas
O D. Bumper replacement
please help, i need it done by today but dint know how to solve it
Answer:
B
C
B, C
Step-by-step explanation:
Equation for each tree's growth.
A: y = 4x + 5
You are correct.
B: Your slope is correct, 4.5
Equation of height: y = 4.5x + 3
C: It starts at 10 inches, so in y = mx + b, b = 10.
Now we find the slope from points on the graph (0, 10) and (3, 20).
slope = m = (20 - 10)/(3 - 0) = 10/3
Equation: y = 10x/3 + 10
Questions:
Which tree is growing fastest:
The slope is the rate of growth.
Answer: B since it has the greatest slope.
Tallest tree when planted:
The y-intercept is the4 initial height.
Answer: C since it was 10 inches tall at planting.
Challenge:
A: 4x + 5 = 4(6) + 5 = 29
B: 4.5x + 3 = 4.5(6) + 3 = 30
C: 10x/3 + 10 = 10(6)/3 + 10 = 30
Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.
Answer: B and C
What are two possible measures of the angle below?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
Select the pair of numbers that have a sum of 7and a difference of 1
Answer:
3,4 is the pair of numbers that have a sum of 7 and a difference of 1
3 substracted from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
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In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
The slope of the graph is 745 and the y-intercept of the graph is 500
How to determine the slope?The points are given as:
(2, 1990) (5, 4225) (9, 7205)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (4225 - 1990)/(5 - 2)
Evaluate
m = 745
This means that the amount earned per day is 745
Hence, the slope of the graph is 745
How to determine the y-intercept?In (a), we have
m = 745
To calculate the y-intercept, we use the following points
(x1 , y1) = (0,y)
Recall that:
m = (y2 - y1)/(x2 - x1)
So, we have:
745 = (4225 - y)/(5 - 0)
Evaluate the difference
745 = (4225 - y)/(5)
Multiply both sides by 5
3725 = 4225 - y
Solve for y
y = 500
This means that the initial amount earned is 745
Hence, the y-intercept of the graph is 500
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Are the equations 1/2x-8=9 and x-8=18 equivalent?
Answer:
not equivalent
Step-by-step explanation:
solve for x to see if they are equivalent
1/2x-8=9 and x-8=18
1/2x=17
x=34
x-8=18
x = 36
no they are not equivalent
rainbow's is having a discount on swimsuits for the start of summer. the original price of the swimsuit is $30 and it is marked as 25% off. what is the
sale price that the customer will pay?
Answer:
22.50
Step-by-step explanation:
25 percent 30
= (25/100)30
= (25*30)/100
= 750/100 = 7.50
$30 - $7.50 = $22.50
A trellis consists of overlapping wooden slats.
1.What is the position of the indicated angles?
2.What should the value of x be in order for the two slats to be parallel?
3. Which theorem or postulate will you use to prove the parallel slats?
4. Find the measure of the indicated angle.
The value of x in order for the two slats to be parallel is 6.
The measure of the indicated angle is 42°
What is an angle?
The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.
For the slats to be parallel. both the given angles must be equal
So,
(3x +24)° = 7x°
Solving this expression, we get
7x -3x = 24
4x =24
x = 6°
The measure of the indicated angle is
(3x +24)° = 3x6 +24
(3x +24)° = 18+24
(3x +24)° =42°
and 7x = 7x6 =42°
Thus, the measure of the angle is 42°
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You pick a card at random.
3 4 5
what is p(not less than 5)?
write your answer as a fraction or whole number.
What’s the answer for this?
Answer:2x
Step-by-step explanation:
Function k is a transformation of the parent exponential function f. what are the domain and range of function k? k(x)= 2^x
Answer:
Domain: All real numbersRange: All real numbers greater than 0How do you write 9.085 x 10-9 in standard form?
Answer: 0.000000009085
Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!
What is the probability you spin something larger than 10
The probability you spin something larger than 10 will be 1 / 2.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
There are 8 numbers in the spinner.We need to find the probability of a number greater than 10.The probability will be calculated as:-
Total numbers = 8
Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4
Probability = 4 / 8 = 1 / 2
Therefore the probability you spin something larger than 10 will be 1 / 2.
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I really need help on this please anyone help
What Is the measure of angle A
sin A = 4/12 = 1/3
sin inv 1/3 = 19.47⁰
Answer:
option 4, 19.47°
Step-by-step explanation:
From angle A, the given side length are opposite and hypotenuse
SOH CAH TOA is
sinx = opposite / hypotenuse
cosx = adjacent / hypotenuse
tanx = opposite / adjacent
visual representation below
the given length fits the characteristic to use sin
sinA = opposite / hypotenuse
opposite = 4hypotenuse = 12sinA = 4 / 12
common facto is 4 it becomes sinA = 1 / 3
Apply trig inverse property,
x = arcsin(1/3)
x = 19.47122°
calculate the area of this trapezium:
b = 15cm
h = 6cm
top part = 9cm
PLEASE I NEED THIS ASAP !!!
Answer:
72
Step-by-step explanation:
hopefully you dont need work since you need it asap :(
Answer:
Step-by-step explanation:
1/2 (a+b) x h
a+b = 9+15= 24 / 2 = 12
12 x 6 = 72cm2
At a diner, the lunch special gives you three choices. For the starter, you can pick from 3 choices (soup or salad or fries) For the main item, you can pick from 2 choices (burger or sandwich) For the drink, you can pick from 2 choices (coke or pepsi) If the staff chooses all items for you randomly, figure these probabilities.
1. Probability of getting (soup, burger, coke)
2. Probability of getting (fries, burger, any drink)
Answer:
1/12; 1/6
Step-by-step explanation:
1. the chance of getting soup is 1/3, the chance of getting a burger is 1/2, and the chance of getting coke is 1/2, multiply these chances to get (1/3) *(1/2) * (1/2) = 1/12
2. the chance of getting fries is 1/3, the chance of getting a burger is 1/2, and the chance of getting any drink is 1, multiply these chances to get (1/3) * (1/2) * 1 = 1/6
Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).
By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm
How to find the height of the tank?We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.
So we can write:
27,238 cm³ = (2/3)*V
Then the volume of the tank is:
V = (3/2)*27,238 cm³ = 40,992 cm³
The base of the tank measures 40cm by 28cm, then:
B = 40cm*28cm = 1,120 cm²
Then the height H is such that:
H*1,120 cm² = 40,992 cm³
Solving for H:
H = (40,992 cm³)/(1,120 cm²) = 36.6cm
The height of the tank is 36.6 centimeters.
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Calculate the surface area of the composite figure
Answer:
Below in bold.
Step-by-step explanation:
Total surface area = 1/2 * area of a sphere + area of the side o a cone
= 1/2 * 4 π r^2 + π r L
= 1/2 * 4 π 7^2 + π*7*25
= 307.876 + 549.779
= 857.65 in^2 to nearest hundredth.
Which of the triangles shown are scalene triangles? (2 points)
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Triangle A and Triangle B
Triangle C
Triangle B and Triangle D
Triangle D
Answer:
Triangle D.
Step-by-step explanation:
A scalene triangle has different sides.
PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?
Answer:
sorry but i need the answer too pls answer the question
find the coordinate plane that represents the solution of this system y > -x - 1 y + 4 ≤ x
Answer:
The graph will open to the right and will be mostly in quadrant 1
Step-by-step explanation:
Which expression gives the distance between the points
(-3, 4) and (6, -2)?
O A. (-3-4)²+(6+2)²
O B. (-3-6) +(4+2)²
O C. (-3-6)²+(4+2)²
O D. (-3-4)²+(6+2)²
The expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
How to determine the expression?The points are given as:
(-3, 4) and (6, -2)
The distance between two points is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives
[tex]d = \sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
Hence, the expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]
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If x and y are complementary angles, then y is a right angle.
right?
Answers to the questions?
Based on the relationship of special angles, the values of x are:
1. x = 34
2. x = 9
3. x = 6
What are The Relationship of Angles Formed by a Transversal and Parallel Lines?Alternate interior angles are equals and corresponding angles are also equal.
Linear pair angles are supplementary.
1. Angles j and a are linear pair angles, therefore:
3x + 15 + 2x - 5 = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5
x = 34
2. Angles m and g are corresponding angles, therefore:
4x + 12 = 2x + 30
4x - 2x = -12 + 30
2x = 18
x = 9
3. Angles c and v are alternate interior angles, therefore:
6x + 9 = 3x + 27
6x - 3x = -9 + 27
3x = 18
x = 6
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There are 11 cookies in a jar, as listed below. The cookies are all the same size and shape.
•
6 chocolate chips
• 5 oatmeal
One cookie is randomly selected from the jar and not replaced. Then a second cookie is
randomly selected and not replaced. What is the probability they are both chocolate chips?
Answer:
6/11*5/10 = 3/11
Step-by-step explanation:
first we can get 6/11 which is the probability.
then we minus both sides by 1 to get 5/10
then we times them