Step-by-step explanation:
The formula for the lateral area of a right cone is :
LA = rs
Where
r is the radius of the base and s is the slant height of the cone
Equivalent expression,
[tex]r=\dfrac{LA}{s}[/tex]
or
[tex]s=\dfrac{LA}{r}[/tex]
Hence, this is the required solution.
In this exercise we have to use the formula for volume of the cone and we find that:
[tex]s=\frac{LA}{r}[/tex]
The formula for the lateral area of a right cone is :
LA = rs
Where:
r is the radius of the base s is the slant height of the coneEquivalent expression is:
[tex]s=\frac{LA}{r}[/tex]
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a/2-8=-4
I have no idea how to do this!!
Answer:
a = 8
Step-by-step explanation:
a ÷ 2 - 8 + 8 = - 4 + 8
a ÷ 2 = 4
a ÷ 2 × 2 = 4 × 2
a = 8
Answer:
a = 8
Step-by-step explanation:
Given
[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )
[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )
a = 8
(HELP) A glass jar contains 5 red, 7 green, 9 blue and 11 yellow marbles. If a single marble is picked at random from the jar, what is the probability of it being a blue marble? *
1/11
5/18
9/32
5/12
Answer:
Find the volume of this prism.
I’m stuck on this question plz help
Answer:
3(n-8)
Step-by-step explanation:
What is the remainder when 4x^3+8x-32 is divided by x+10?
Answer:
The remainder is -4112.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).
We are dividing:
[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]
We can rewrite the divisor as:
[tex]x+10=x-(-10)[/tex]
So, a = -10.
Then according to the PRT, the remainder of the operation will be:
[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]
A camera and a case cost 100 dollars. If the camera cost 90 more dollars than the case. How much does the case cost.
Answer:
Cost of case = $5
Step-by-step explanation:
x = cost of camera and y = cost of case
x = y + 90
x + y = 100
y + 90 + y = 100
2y = 10
y = 5
x = y + 90
x = 5 + 90
x = 95
Therefore, the cost of the camera is $95 and the cost of the case is $5.
The cost of case is 5 dollars.
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Let,
Cost of camera = a and
Cost of case = b
Given that, camera and a case cost 100 dollars
a + b = 100
Since, the camera cost 90 more dollars than the case
So, a = b + 90
Substitute the value in the equation a + b = 100
b + 90 + b = 100
2b = 10
Divided by 2 both the sides
b = 5
Substitute the value of b in equation
a = b+ 90
a = 5 + 90
a = 95
So, the cost of the camera is $95 and the cost of the case is $5.
Hence, the cost of the case is 5 dollars.
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Solve -7u = -21 for u. u =
Answer: u = 3
Step-by-step explanation:
Divide each side by -7 to get u = 3.
Answer:
3
Step-by-step explanation:
-7u = -21
To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.
-7u
[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]
u= -21/-7
u = 3
Round 187.890 to the nearest 10 000
Answer:
190,000
190,000
190,000
Step-by-step explanation:
190,000
190,000
Find the length of the third side. If necessary, round to the nearest tenth. 24 28
Answer I believe it would be 32
Step-by-step explanation:if it’s 24, 28 it should be 32
Is it a function yes or no. 1,2,3,4,5,6.
Explain fully, please
Answer:
Step-by-step explanation:
formula of volume of cone is given so u simply substitute the values given and calculate.
Work is done for u .
Hope this helps u
Place the following linear equation in slope intercept form: 6x - 4y = 9
Answer:
y = 3/2 x - 9/4
Step-by-step explanation:
bring all the y's to one side.
4y = 6x-9
divide by 4 to isolate the y
y = 6/4x - 9/4
simplify
y = 3/2 x - 9/4
Answer:
y = (3/2)x - 9/4
Step-by-step explanation:
Slope intercept form is
y = mx + b
------------------
6x - 4y = 9
subtract 6x from both sides
-4y = -6x + 9
Divide both sides by -4
y = (3/2)x - 9/4
Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?
Answer:
[tex]Max\ Area = \frac{x^2}{16}[/tex]
Step-by-step explanation:
Given
[tex]P = x[/tex] ---- the perimeter of fencing
Required
The maximum area
Let
[tex]L \to Length[/tex]
[tex]W \to Width[/tex]
So, we have:
[tex]P = 2(L + W)[/tex]
This gives:
[tex]2(L + W) = x[/tex]
Divide by 2
[tex]L + W = \frac{x}{2}[/tex]
Make L the subject
[tex]L = \frac{x}{2} - W[/tex]
The area (A) of the fence is:
[tex]A = L * W[/tex]
Substitute [tex]L = \frac{x}{2} - W[/tex]
[tex]A = (\frac{x}{2} - W) * W[/tex]
Open bracket
[tex]A = \frac{x}{2}W - W^2[/tex]
Differentiate with respect to W
[tex]A' = \frac{x}{2} - 2W[/tex]
Set to 0
[tex]\frac{x}{2} - 2W = 0[/tex]
Solve for 2W
[tex]2W = \frac{x}{2}[/tex]
Solve for W
[tex]W = \frac{x}{4}[/tex]
Recall that:
[tex]L = \frac{x}{2} - W[/tex]
[tex]L = \frac{x}{2} - \frac{x}{4}[/tex]
[tex]L = \frac{2x- x}{4}[/tex]
[tex]L = \frac{x}{4}[/tex]
So, the maximum area is:
[tex]A = L * W[/tex]
[tex]A = \frac{x}{4}*\frac{x}{4}[/tex]
[tex]Max\ Area = \frac{x^2}{16}[/tex]
round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it
Answer:
69.08 ⇒ nearest tenth
To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place. Since the digit in the hundredths place (8) is greater than 5, add 1 to the digit in the tenths place (0).
1 + 0 = 1, so the digit in the tenths place becomes 1 & the digit in the hundredths place is dropped.
∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)
43.96 ⇒ nearest tenth
To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.
1 + 9 = 10
∴ 43.96 ≈ 44 (corrected to the nearest tenth)
39.564 ⇒ nearest tenth
To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).
1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.
∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)
Rounding to the nearest tenth are:
69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.
To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.
For 69.08, the digit in the hundredth place is 0.
Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.
Thus, 69.08 rounded to the nearest tenth is 69.1.
For 43.96, the digit in the hundredth place is 9.
Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.
Therefore, 43.96 rounded to the nearest tenth is 44.0.
For 39.564, the digit in the hundredth place is 5.
Since 5 is exactly halfway between 0 and 10, round to the nearest even number.
Thus, 39.564 rounded to the nearest tenth is 39.6.
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13 1 point
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
C) SSS
B) SAS
D) AAS
the SAS is a special forces Unit let's goo
Solve the system of equations algebraically by using substitution method:
-3x+3y=9
-x+y=3
Answer:
This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.
Step-by-step explanation:
-3x+3y=9
-x+y=3
Isolate either x or y in any of the equations. I'll go with the second.
y = 3+x
Now substitute this for y in the first equation.
-3x+3(3+x)=9
Distribute the 3
-3x+9+3x=9
Combine like terms:
9=9
0=0
It's infinite
Does f(x) = - 3x² + 6x - 4 have a maximum or
minimum? Find the value
Answer:
Maximum value.
it = -1.
Step-by-step explanation:
Maximum value as the coefficient of x^2 is negative.
To find this value we convert to vertex form:
y = -3x^2 + 6x - 4
y = -3(x^2 - 2x) - 4
y = -3[(x - 1)^2 - 1] - 4
y = -3(x - 1)^2 + 3 - 4
y = =3(x - 1)^2 - 1
Minimum value = -1.
4. Meg uses 1/2 of her supply of raisins
to make trail
mix and 3/10 of her supply of raisins to make
cookies. If Meg uses 8 pounds of raisins, how many
pounds of raising are in her supply
Answer:
10 pounds
Step-by-step explanation:
Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins to make trail mix and 3/10 of her supply of raisins to make cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:
(1/2)x + (3/10)x = 8
multiply through by 20:
(1/2)x * 20 + (3/10)x * 20 = 8 * 20
10x + 6x = 160
16x = 160
Divide both sides of the equation by 16:
16x/16 = 160/16
x = 10 pounds
Therefore she have 10 pounds of raisins in her supply
Triangle MNO has vertices M(6,5), N(2,2), and O(7,0). It's image has vertices M'(-6,5), N'(-2,2), and
O'(-7,0). Which line of reflection maps triangle MNO onto its image?
x = 1
y=1
x = 0
.y=0
Answer:
x=0
Step-by-step explanation:
because the y values are not changing and the x values are only changing from positive to negative.
Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9
PLEASE HELP ME WITH THESE 2 QUESTIONS
Answer:
Step-by-step explanation:
Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years
Answer:
The Principal = $75,000
Step-by-step explanation:
Formula for finding the principal:
I × 100/ R × T
Therefore;
Principal = 45 × 100 / 3/ 100 × 2
[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]
Which means that the Principal is $75,000.00
1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE
Helpppppp!!’nnnnnnn.
Answer:
35.75
Step-by-step explanation:
times 65 by 55%
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
State if triangles HAG and CAB are similar and why.
solve kx-3=5 for x
a
b
c
or
d
Answer:
x = 8/k
Step-by-step explanation:
kx - 3 = 5
Add 3 to each side
kx -3+3= 5+3
kx = 8
Divide by k
kx/k = 8/k
x = 8/k
Answer:
x = 8 / k
Step-by-step explanation:
Let's solve for x.
kx − 3 = 5
Step 1: Add 3 to both sides.
kx −3 +3 = 5 + 3
kx = 8
Step 2: Divide both sides by k.
kx / k = 8k
x = 8 / k
can someone please explain to me how to do this?
Answer:
The fourth coefficient is 4.
Step-by-step explanation:
Pascal's Triangle in this case has 5 rows of coefficients because the highest power in (y + w)^4 is 4. 4 plus 1 is 5.
Here's the appropriate Pascal's Triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1 Use this row when expanding the 4th power of (v + w).
Notice that in the given expansion, the coefficients are
1, 4, 6, 4 1
This corresponds to the last (5th) row of Pascal's Triangle (above).
So the correct coefficient to be placed in the box is 4.
Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age
Answer:
4c + 5 = R
Step-by-step explanation:
This should help you
If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)
Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Step-by-step explanation:
Formula for gradient of a line segment :
[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]
Given points of the line segment: (-5,2) and (4,3)
[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{9}[/tex]
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
