Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25
=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)
Answer:
1) 720
2) 540
3) x = -1
4) x = 10
Step-by-step explanation:
The formula for finding the sum of interior angles in a polygon is the following,
[tex]S=180(n-2)[/tex]
Where (S) represents the sum of interior angles, and (n) represents the number of sides.
1)
The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]
2)
This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
3)
The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.
(55) + (x + 36) + (90) = 180
Simplify,
181 + x = 180
Inverse operations,
181 + x = 180
x = -1
4)
The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.
<F + <G = <FEZ
Substitute,
(4x) + (-5 + 7x) = 105
Simplify,
4x - 5 + 7x = 105
11x - 5 = 105
Inverse operations,
11x - 5 = 105
11x = 110
x = 10
y-(-4) =m(x-(-5)) solve for m
Answer:
m = [tex]\frac{y+4}{x+5}[/tex]
Step-by-step explanation:
y-(-4) = m(x-(-5))
Simplify, distribute the negative sign outside of the parenthesis, remember negative times negative equals positive
y + 4 = m (x + 5)
Inverse operations, divide the equation by the value inside of the parenthesis
[tex]\frac{y+4}{x+5}[/tex] = m
Answer:
m=y+4x/x+5 your welcome !!
Let z be inversely proportional to the cube root of y. When y =.064, z =3
a) Find the constant of proportionality k.
b) Find the value of z when y = 0.125.
Given:
z be inversely proportional to the cube root of y.
When y =0.064, then z =3.
To find:
a) The constant of proportionality k.
b) The value of z when y = 0.125.
Solution:
a) It is given that, z be inversely proportional to the cube root of y.
[tex]z\propto \dfrac{1}{\sqrt[3]{y}}[/tex]
[tex]z=k\dfrac{1}{\sqrt[3]{y}}[/tex] ...(i)
Where, k is the constant of proportionality.
We have, z=3 when y=0.064. Putting these values in (i), we get
[tex]3=k\dfrac{1}{\sqrt[3]{0.064}}[/tex]
[tex]3=k\dfrac{1}{0.4}[/tex]
[tex]3\times 0.4=k[/tex]
[tex]1.2=k[/tex]
Therefore, the constant of proportionality is [tex]k=1.2[/tex].
b) From part (a), we have [tex]k=1.2[/tex].
Substituting [tex]k=1.2[/tex] in (i), we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{y}}[/tex]
We need to find the value of z when y = 0.125. Putting y=0.125, we get
[tex]z=1.2\dfrac{1}{\sqrt[3]{0.125}}[/tex]
[tex]z=\dfrac{1.2}{0.5}[/tex]
[tex]z=2.4[/tex]
Therefore, the value of z when y = 0.125 is 2.4.
Proportional quantities are either inversely or directly proportional. For the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n}[/tex]
or
[tex]n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n}\\\\or\\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For the given case, it is given that:
[tex]z \propto \dfrac{1}{^3\sqrt{y}}[/tex]
Let the constant of proportionality be k, then we have:
[tex]z = \dfrac{k}{^3\sqrt{y}}[/tex]
It is given that when y = 0.064, z = 3, thus, putting these value in equation obtained above, we get:
[tex]k = \: \: ^3\sqrt{y} \times z = (0.064)^{1/3} \times (3) = 0.4 \times 3 = 1.2[/tex]
Thus, the constant of proportionality k is 1.2. And the relation between z and y is:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}[/tex]
Putting value y = 0.0125, we get:
[tex]z = \dfrac{1.2}{^3\sqrt{y}}\\\\z = \dfrac{1.2}{(0.125)^{1/3} } = \dfrac{1.2}{0.5} = 2.4[/tex]
Thus, for the given relation between y and z, we have:
The constant of proportionality k = 1.2, andWhen y = 0.125 , z = 2.4Learn more about proportionality here:
https://brainly.com/question/13082482
A car bought for $13,000 despreciates at 12% annually. What will the car be worth after 10 Years ?
Answer:
I think $3620.51
Step-by-step explanation:
If i did it right, the equation should be something like this?
13,000(.88)^10
There are 5 red, 4 blue, and 3 green marbles in a bag. What are the odds of randomly pulling a blue marble out of the bag and then randomly pulling a green marble out of the bag? The blue marble is NOT replaced.
A - 7/2
B - 12/24
C - 1/12
D - 1/11
Which is a better estimate for the length of an almond?
a. 3 meters b. 3 centimeters
Answer:
3 centimeters
Step-by-step explanation:
nope
Answer:
[tex]B[/tex]
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D
Answer:
Expression B: 0.8p
Expression D: p - 0.2p
Step-by-step explanation:
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C:1 - 0.2p
Expression D: p - 0.2p
Expression E: p - 0.8p
Which two expressions each represent the sale price of the item?
Regular price of the item = $p
Sale price = 20% off regular price
Sale price = $p - 20% of p
= p - 20/100 * p
= p - 0.2 * p
= p - 0.2p
= p(1 - 0.2)
= p(0.8)
= 0.8p
The sale price is represented by the following expressions
Expression B: 0.8p
Expression D: p - 0.2p
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.
Answer:
D(12) = 2,600 miles
It means a distance of 2,600 miles is already traveled from home after 12 hours
Step-by-step explanation:
To find D(12); all we have to do is to substitute the value of 12 for D
We have this as;
D(12) = 3260-55(12)
D(12) = 2,600
In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours
Share $2400 for three friends so that one friend gets twice as much as the smallest share and the other friend gets three times as much as the smallest share.
Answer:
smallest share = $400
second smallest share = $800
largest share = $1200
Step-by-step explanation:
Let the smallest share = x
amount one friend gets = 2x
second friend gets = 3x
2400 = x + 2x + 3x
2400 = 6x
x = 400
2 x 400 = 800
3 x 400 = 1200
in a math final please help asap
find the angle r show ur work
Answer:
The measure of angle R is 112 degrees
Step-by-step explanation:
Using the given markings, we can see that we have an isosceles triangle
so RT is also 3x-2
Mathematically, the sum of the interior angles of a triangle is 180:
Thus;
9x + 4 + (3x-2) + (3x-2) = 180
9x + 3x +3x + 4-2-2 = 180
15x = 180
x = 180/15
x = 12
Recall; Angle R is 9x + 4
= 9(12) + 4 = 108 + 4 = 112
The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning
Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8
Answer:
C
Step-by-step explanation:
4xy=4y
since each friend must get at least a cupcake, 4y must be larger than 8
A jar contains five red marbles and three green marbles. A
marble is drawn at random and not replaced. A second marble is
then drawn from the jar.
find the probability that both marbles are the same color
Answer:
I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.
Hope this answer is right !
Do anyone know this question?
Answer:
average revenue
gross profit
total revenue
net profit
marginal revenue
Step-by-step explanation:
15 point question!
Hi can you help? Thanks! *if you are gonna answer, actually answer please!*
Brainly if you get it right!
Answer:
The answer is 129
Step-by-step explanation:
5(exponent 4)/5 = 125 +4 equals 129
I think
Answer:
129
Step-by-step explanation:
5^4 / 5 + 4
We know that a^b / a^c = a^(b-c)
5^(4-1) +5
5^3 +4
125 +4
129
please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
The total amount paid by a member according to this table is
Total Amount Paid = fee + monthly fee(# of months)
Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.
Row 1:
TAP = fee + 15(#months)
135 = fee + 15(4) and
135 = fee + 60 so
fee = $75
Row 2:
165 = fee + 15(6) and
165 = fee + 90 so
fee = $75
Row 3:
255 = fee + 15(12) and
255 = fee + 180 so
fee = $75
Apparently, the fee is $75.
Which of the equations below represents a line perpendicular to the x-axis?
A. X=3
B. X=3y
C. X=y
D. X=-3y
Answer: A. x = 3
This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.
Ethan is installing a new tile backsplash in his kitchen. The tile he likes costs $3.50 per square foot. The area he is tiling is 36.5 square feet. How much will Ethan pay for the tile for his backsplash?
Answer:
$127.75
Step-by-step explanation:
Multiply the cost by the area to find the total cost
how do you find x in this? I need help asap!!
Answer:
Step-by-step explanation:
According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.
Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so
x = 140°
What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)
Answer:
I believe the Answer is B
Answer:
B. evaporation
Step-by-step explanation:
How many marble do you need to balance to scale
A. 4
B. 3
C. 2
D. 1
Answer: its B.
Step-by-step explanation:
have a good day hope this help
Answer:
B.3
Step-by-step explanation:
just divide 6 by 2
helpppp meee pleaseeeeewee
We can't see what you are talking about. send another one.
which graph shows the line y = -3x + 1
help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!
Answer:
aef true and bcd false
hope u get well in your exams
Step-by-step explanation:
A club raised 175% of it goal for a charity. The club raised $763.
use proportion please
Answer: The clubs goal is to raise $436.
Step-by-step explanation:
175% * x = 763 where x is the goal
1.75 *x = 763
1.75x = 763
x= 436
3/4x × 12/11 ÷ 3x/22
Answer:
242/48
Step-by-step explanation:
Please help?? I have an exam tomorrow
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²
= x(x - 3y) - 2y(x - 3y)
= (x - 3y)(x -2y)
x² - 4xy + 3y² = x² -xy - 3xy + 3y²
= x(x - y) - 3y(x - y)
= (x - y)(x - 3y)
x² - 3xy + 2y² = x² - xy - 2xy + 2y²
= x(x - y) - 2y(x - y)
= (x - y)(x - 2y)
Least common denominator = (x-y)(x - 2y)(x - 3y)
[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]
The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.
Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
---------------------
The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
-----------------------
Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
Select the equation that is parallel to: y = -4x + 5
A. y = 4x - 5
B. y = 1/4x - 5
C. y = -1/4x - 5
D. y = -4x - 5
Answer:
D.
[tex]y = - 4x - 5[/tex]
Step-by-step explanation:
This is because the slopes are the same
round to the nearest ten i dont get it
Answer:
130
Step-by-step explanation:
instead of 132 round to the nearest 10 so its 130
Answer:
130
Step-by-step explanation: