Answer:
3 ft
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
Solving for r, we find ...
r = √(3V/(πh))
r = √((3×94.2)/(π×10)) ≈ √9 = 3 . . . . ft
The radius of the cone is 3 ft.
a point moves so that it's y-coordinate is always 2 less than it's x-coordinate.
1) write an equation for it's path
2)where does it cross the x-axis
3) where does it cross the y-axis
4) what is it's slope
Step-by-step explanation:
y is always 2 less than x
1) y = x- 2
2) where does it cross the x-axis ? that means y = 0.
0 = x - 2
x = 2
3) where does it cross the y-axis ? that means x = 0
y = 0 - 2 = -2
4) the slope is always the factor of x.
in
y = x - 2.
the factor of x is simply +1.
If its y-coordinate is always 2 less than its x-coordinate, this is expressed as y = x - 2
Slope and equationsFrom the given information
Let the y-coordinate be yLet the x-coordinate be xIf its y-coordinate is always 2 less than its x-coordinate, this is expressed as:
y = x - 2
The equation of the path is y - x - 2
2) The point where th line cuts the x-axis is at y = 0
0 = x - 2
x = 2
The point is at (2, 0)
3) The point where th line cuts the y-axis is at x = 0
y = 0 - 2
y = -2
The point is at (0, -2)
4) The standard equation of a line is y = mx + b where m is the slope. Given the equation y = x - 2
Comparing:
mx = 1x
m = 1
Hence the slope of the equation is 1
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Multiply (x^2 + 4x) (x^3 - 2x^2 + x + 7)
Answer:
x^5+2x^4-7x^3+11x^2+28x
Step-by-step explanation:
NEED HELP NOW PLEASE
Answer:
-33.24 degrees F, -33.625 degrees F, -33.833 degrees F
1. Classify the following polynomials as monomial, binomial trinomial and polynomial.
i) 7ab – 5a
Answer:
it's binomial...............................
stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ?
Answer:
95% of Grade 6 pupils graduated
Answer:
95% of Grade 6 Pupils Graduated
Step-by-step explanation:
Express the Statement Mathematically:
646/680Add Percentage
646/680 * 100%By Division
0.95 * 100%Then, Multiply
95% Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?
Answer: 150 students
Step-by-step explanation:
Let X be the total number of students. We are told that:
0.60X = 90 students
X = (90 students)/0.60
X = 150 students
Ben’s father is paying for a $20 meal he has a 50% off coupon for the meal after the discount a 7% sales tax is applied what does Ben’s father pay for the meal after the discount
#3: Classify the number below. Select all that apply.
-8
A. Real Number
B. Irrational
C. Rational
D. Integer
E. Whole
F. Natural
How would I solve this?
Answer:
2a+3b=4a-3b
a+3=4b
b=3
a=9
Step-by-step explanation:
2a+3b=4a-3b
-2a=-6b
a=3b
a+3=4b
3b+3=4b
3=b
a=9
can someone help me pleasee
Answer:
Erich planted 7 seeds ...
he had to remove 17 plants ....
he expected to have less or equal 46 plants ...
Step-by-step explanation:
Look at keywords like remove ~ => which indicates that something is being subtracted
Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)
I need help on this question. please help me.. I don't have idea on this.
Answer:
D.
Step-by-step explanation:
5(-4 +10) × 4.8 ÷ [tex]\frac{3}{4}[/tex]
5(6) × 4.8 ÷ [tex]\frac{3}{4}[/tex]
30 × 4.8 ÷ [tex]\frac{3}{4}[/tex]
30 × 4.8 × [tex]\frac{4}{3}[/tex]
_________________________________
Hope this helps!!
If I have made a mistake, please let me know; I enjoy leaning from them:)
Answer:
Step-by-step explanation:
the height and diameter of a cylinder are 21 cm and 12 cm. find the volume of cylinder
Answer:
the answer is 6930 cm3.
Step-by-step explanation:
please mark my answer in brainlist
Write an expression to model each situation.
Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________
A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________
For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression
It is given that the expression is,
Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.
The expression for the given condition is,
=(10 + 16) ÷ 2
If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,
=2/3 x 2 + 1/4
Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.
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Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)
With the center of dilation at the origin, the image is given by the product
of the corresponding point on the preimage and the scale factor.
The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]Reasons:
The center of dilation of quadrilateral MNOP = The origin
The image following the dilation of MNOP = M'N'O'P'
The scale factor of dilation = 1.5
Required:
The coordinates of N'
Solution:
The coordinates of N in MNOP = N(3, 3.5)
The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;
(x', y') = Scale factor × (x, y)Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
The coordinates of N' = C) (4.5, 5.25)Learn more about dilation transformation here:
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Answer:
C) (4.5, 5.25)
Step-by-step explanation:
Find the change in profit in dollars for each owner.
A. –43,200
B. 675
C. –675
D. 5,39
simplify an expression for the perimeter of the rectangle
The expression for the Perimeter of rectangle is 16w-4.
What is perimeter of rectangle?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
length = 5w-2
width = 3w
Perimeter of the rectangle = 2(length+width)
Perimeter = 3w+3w+(5w-2)+(5w-2)
= 6w+10w-4
= 16w-4
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How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches
Answer:
24 screeches
Step-by-step explanation:
20M=12L=8P=24S
An art teacher divided her students into two groups of equal size.
25 of the first group prefers acrylic paint over watercolor paint.
60% of the second group prefers acrylic paint over watercolor paint.
What fraction of the students prefers watercolor paint over acrylic paint?
Answer:
67.5% or 68%
Step-by-step explanation:
Say each group has 100 students. 25% of 100, is 25 students.
25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.
60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.
25+40=65
60+75=135
That is true, since there are 200 students in total.
Now set up a ratio, with watercolor over acrylic.
135:65
135 is 67.5% of 200.
I really don't know if that is a choice, so maybe 68%?
-hope it helps
1. You are planning an extended trip to Mexico. You have a new smartphone to keep in touch with your friends but are concerned about the roaming charges since you will be outside the home network service area. Your plan costs $40.00 per month plus $0.35 per minute for roaming charges. Write a linear model relating your monthly cost, C, and the roaming minutes, t.
A: C = $40 + $0.35t
B: C = $40 $0.35t
C: C = $0.35 + $40t
D: C = $0.35 $40t
Kate and Elena were playing a card game. The stack of cards in the middle had 25 cards in it to begin with. Kate added 5 cards to the stack. Elena then took 8 cards from the stack. Finally, Kate took 7 cards from the stack. How many cards were left in the stack?
Answer:
15
Step-by-step explanation:
step 1: 25+5=30
step 2: 30-8=22
step 3:22-7=15
help i have math homework and im real bad at it i got a B- last year so help
What is the slope of the line that contains these points?
Slope:
Answer:
-4
Step-by-step explanation:
Slope formula:
m=y2-y1/x2-x1
I will use (-1,10) and (1,2)
2-10/1-(-1)
Which is
-8/2
Divide:
-4
Thus the slope is -4
Hope this helps!
solve similar triangles (advanced)
Answer:
x = 3/2
Step-by-step explanation:
ΔACB ≈ ΔAED due to hypotenuse-leg theorem
therefore, BC/BA = DE/AD
4/6 = 5/(x+6)
cross-multiply to get:
4(x+6) = 6(5)
4x + 24 = 30
4x = 6
x = 6/4 or 3/2
check:
4/6 = 5/7.5; the cross-products are both equal to 30
I do not know how to answer these questions, can someone explain what I would do to solve them?
Answer:
Step-by-step explanation:
A line has a slope of 3 and passes through the point (8, 261. What is the
equation of the line?
Answer:
Step-by-step explanation:
We know that the form of line passing through point (x₀ , y₀) and having slope m is :
y - y₀ = m(x - x₀)
Here the line passes through the point (5 , -3)
⇒ x₀ = -2 and y₀ = -5
Given : Slope(m) = -8
Substituting all the values in the standard form, We get :
Equation of the line : y + 3 = -8(x - 5)
help ASAP please which too answers are correct
Answer:
20 (30 + d)
Step-by-step explanation:
your welcome :)
Answer:
2 and 4th one.
Step-by-step explanation:
Hopes This Helps :)
which pairs of polygons are congruent?
A. 3 and 4
B. 1 and 3
C. 1, 3, and 4
D. 2, 3, and 4
E. 1, 2, 3 and 4
Answer:
B
Step-by-step explanation:
Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98
Answer:
B.68
Step-by-step explanation:
divide using polynomial long division
2.5 times 1.75 times 2.49
Answer:
The answer to this equation is 10.89375
Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)
Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct
In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.
For the coordinate point (1, 10)
y > 3(1) +10
y > 13
Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.
For the coordinate point (4, 20)
y > 3(4) +10
y > 22
Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.
For the coordinate point (-1, 3)
y > 3(-1) +10
y > -7
Since 3 is greater than -3, hence (-1, 3) lie in the solution set.
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