Work out the surface area of this cylinder
8.2 cm
17.5 cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Answer:
SA = 1324.1 cm²
Step-by-step explanation:
Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 8.2 cm, h = 17.5 cm
=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]
=> SA = [tex]901.6+2(3.14)(67.24)[/tex]
=> SA = 901.6 + 422.5
=> SA = 1324.1 cm²
The fifth-grade classes at Harvest Elementary School had an apple-tasting party. They tasted red, yellow, and green apples. There were 130 apples at the party altogether. There were 3 times as many yellow apples as green apples. There were twice as many red apples as yellow apples. How many red apples were at the party?
Answer:
78 red apples
Step-by-step explanation:
Set up the equations
r + y + g = 130
y = 3g
r = 2y
If r = 2y and y = 3g, then r = 6g
Plug in the two equations, y = 3g, and r = 6g
6g + 3g + g = 130
10g = 130
g = 13
Plug in 13 as g in the equation r = 6g
r = 6(13)
r = 78
There were 78 red apples
Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21
y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
15/4 divided by -5/8 equals?
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
-6
Step 1) Do keep change flip if your beginner
After you do that
you get 15/4x-8/5 multiply and simply get -6
Calculate the amount of money you'll have at the end of the indicated time period.
You invest $1000 in an account that pays simple interest of 6% for 30 years.
The amount of money you'll have at the end of 30 years is $
Step-by-step explanation:
Simple Interest = PTR/100
=1000* 30* 6/100
=1800.
Amount= Principal + Interest
= 1000+1800
= $2800
The amount of money that has at the of 30 years is $2800.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $1000
Rate of interest R = 6%
Time span T = 30 years.
Total amount = Principle amount + Interest
Total amount = P + (PRT)/100
Total amount = $1000 + (1000 x 6 x 30)/100
⇒ $2800
Hence "The amount of money that has at the of 30 years is $2800".
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What expression is equivalent to x2−x−6?
Answer:
[tex] - x + x 2 - 6[/tex]
that's it hope its helpful
Find the 8th term of geometric sequence 2,-10,50...
Answer:
- 156250
Step-by-step explanation:
Find the ratio of the geometric sequence.
-10/2 = -5
50/-10 = -5
The common ratio is -5.
Apply the formula.
an = ar^(n-1)
Where a is the first term and r is the ratio.
a8 = 2(-5)^(8-1)
a8 = 2(-5)^7
a8 = 2(-71825)
a8 = -156250
Determine graphically whether the ordered pair (0, 2) is a solution of the following system of equations, and check using algebra.
x + 3y= 4
3x+y = -2
Answer: Not a solution of the System
Step-by-step explanation:
Plug in 0 for x and 2 for y for both equations.
Note, if only one of the equations is a true statement
(0.2) is not a solution. If either one of the equation is not true, the ordered pair is not a solution.
0+3(2)=4
3*2=6
0+6=6
6≠4
This was only the first equation but it was not true.
The equation is not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
To determine graphically whether the ordered pair (0, 2) is a solution of the system of equations, we can plot the two equations on a graph. If the point (0, 2) lies on both lines, then it is a solution of the system.
The first equation is x + 3y = 4. To plot this equation, we can first solve for y:
y = -(1/3)x + 4/3
This equation has a slope of -1/3 and a y-intercept of 4/3. So, the line will rise 1 unit for every 3 units it moves to the left. The y-intercept is 4/3, so the line will pass through the point (0, 4/3). Three units to the left of (0, 4/3) is (-3, 7/3), so the line will also pass through this point.
The second equation is 3x + y = -2. To plot this equation, we can first solve for y:
y = -3x - 2
This equation has a slope of -3 and a y-intercept of -2. So, the line will fall 3 units for every 1 unit it moves to the right. The y-intercept is -2, so the line will pass through the point (0, -2). One unit to the right of (0, -2) is (1, -5), so the line will also pass through this point.
We can check this algebraically. Substituting (0, 2) into the first equation, we get:
0 + 3× 2 = 4
6 ≠ 4
This equation is not true, so (0, 2) is not a solution of the first equation. Substituting (0, 2) into the second equation, we get:
3 × 0 + 2 = -2
2 = -2
This equation is also not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
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(8x - 4)(7y + 2) multiplying binomials
Step-by-step explanation:
8x(7y+2)-4(7y+2)
=56xy+16x-28y-8
Answer:
56xy+16x-28y-8
Step-by-step explanation:
you have to use the FOIL method to solve this is problem which is
F-First
O-Outer
I-Inner
F-Last
A hot-air balloon is flying at an altitude of 2999 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 34degrees, how far is the house from the pilot?
Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:
[tex]sin(34) = \frac{opposite}{hypotenuse}\\ \\sin(34) = \frac{altitude}{distance}\\\\sin(34) = \frac{2999}{distance}\\\\distance = \frac{2999}{sin34}\\\\distance = 5668.3 feet[/tex]
The pilot is 5668.3 feet far away from the house.
what is the solution to the equation 13 3/4 + x equals 7 1 / 4
Answer:
x=-6.5
Step-by-step explanation:
[tex]7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5[/tex]
Multiply the polynomial (12x^4 - 4x^3 + 5) by (-4x^2) *
0 -16x^6 + 8x^5 + 9x12
048x^6 - 16x^6 + 20x^2
048x^6 + 16x^5 + 20x^2
0 -48x^6 + 16x^5 - 20x^2
Answer:
[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
Option D is the correct option.
Solution,
[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
hope this helps...
Good luck on your assignment...
I don’t know how to solve help pls
Answer:
The measure of angle a is 43 degrees.
Step-by-step explanation:
Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.
Answer: 43°
Step-by-step explanation:
The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90
We now have 90 + 47 + a = 180
137 + a = 180
a = 43
Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(-1,5)
(0, 3)
(1, 0)
(2,-1)
Answer:
(-1, 5), (2, -1), (0, 3)
Please HELP!!!!!!!!!!!!!!!!!
Answer:
I think it might be the second one or maybe the first one
Step-by-step explanation:
Im not quite sure so dont blame me if its wrong
Harriet has a square piece of paper she folds it in half to form a rectangle and then folds it in half again the perimeter of the second rectangle is 30cm
Answer:
area of the original square = 144 cm²
Step-by-step explanation:
You didn't include the whole question, but nonetheless this is the answer.
Take care. (:
Answer:
144 cm^2
Step-by-step explanation:
how do you write 25 x 10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
Answer:
Brainliest!!!
Step-by-step explanation:
See picture
A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero
Answer:
160J
Step-by-step explanation:
I think this is the answer
Given the following diagram, find the missing measure. Given: PM MO m 2 = 30°, m P = 30 120 60 90
Answer:
60
Step-by-step explanation:
The sum of interior angles in a triangle is 180
180-90-30=60
Find the value of the unknown in the equation 4p + 2 = 8
a) p = 0
b) p = 2.3
c) p = 1.5
d) p = 4
Answer:
Option C
Step-by-step explanation:
=> 4p + 2 = 8
Subtracting 2 to both sides
=> 4p = 8-2
=> 4p = 6
Dividing both sides by 4
=> p = 1.5
Answer:
The answer is C.
Step-by-step explanation:
First, you have to subtract 2 to both sides :
[tex]4p + 2 = 8[/tex]
[tex]4p + 2 - 2 = 8 - 2[/tex]
[tex]4p = 6[/tex]
Next, you have to divide it by 4 :
[tex]4p = 6[/tex]
[tex]p = 6 \div 4[/tex]
[tex]p = 3 \div 2[/tex]
[tex]p = 1.5[/tex]
Can you help me with this question
Answer:
-1.67
Step-by-step explanation:
Write 5.1 x 10 to the power of one as an ordinary number.
Answer:
51
Step-by-step explanation:
Multiplying 5.1 by 10^1 shifts the decimal point 1 place to the right. We get 51.
95 students choose to attend one of three after school activities: footbal,l tennis or running. There are 28 boys. 38 students choose football, of which 26 are girls. 23 students choose tennis. 29 girls choose running. A student is selected at random. What is the probability this student choose running? Give your answer in its simplest form.
Answer:
34/95
Step-by-step explanation:
Since 38 students choose football and 23 students chose tennis, then 95 - 38 - 23 = 34 students chose running. The probability is 34 / 95.
How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction?
Answer:
21
Step-by-step explanation:
7/8 = x/24
Cross multiply.
8x = 24 × 7
8x = 168
x = 168/8
x = 21
Answer:
answer is d
Step-by-step explanation:
a^2-b^2+4b-4 please solve it step by step i will mark you brainlest
Answer:
b = a + 2 or b = 2 - a
Step-by-step explanation:
Solve for b:
-4 + a^2 + 4 b - b^2 = 0
The left hand side factors into a product with two terms:
(2 + a - b) (-2 + a + b) = 0
Split into two equations:
2 + a - b = 0 or -2 + a + b = 0
Subtract a + 2 from both sides:
-b = -a - 2 or -2 + a + b = 0
Multiply both sides by -1:
b = a + 2 or -2 + a + b = 0
Subtract a - 2 from both sides:
Answer:
b = a + 2 or b = 2 - a
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag
Answer:
342/6 = 57
Step-by-step explanation:
Just basic division
(5•5•5) • (5•5•5•5•5•5)
Answer:
1953125
Step-by-step explanation:
Step 1: Simplify
(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]
Step 2: Combine exponents
[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]
Step 3: Evaluate
[tex]5^9[/tex] = 1953125
Answer:
15750
Step-by-step explanation:
First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.
Alexandra and her children went into a movie theater and will buy bags of popcorn
and drinks. She must buy at most 12 bags of popcorn and drinks altogether. Write an
inequality that would represent the possible values for the number of bags of popcorn
purchased, b, and the number of drinks purchased, d.
Answer:
let number of bags of popcorn = b
let number of drinks = d
at most = maximum
b + d ≤ 12
The population of Happyland is 15.8 Happys per acre exactly 553 Happys live in Happyland how many acres is Happyland enter only a numerical value in the answer blank
Answer:
35 acres
Step-by-step explanation:
We have 15.8 happys per acre and the we have exactly 553 happys living in happy land.
To calculate the number of acres, we just need to divide the number of happys we have by the number by the number of happys per acre
Mathematically, that would be 553/15.8 = 35 acres
Happyland have 35 acres of Land.
Given to us:
Population of Happyland = 553 Happys
Population of Happyland per acre = 15.8 Happys per acre,
Land with Happyland in acres:
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}[/tex]
Putting in the value we get,
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\\\\\rm {Land with Happyland in acres =\dfrac{553}{15.8}}\\\\\rm {Land with Happyland in acres = 35 acres[/tex]
Hence, Happyland have 35 acres of Land.
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Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction
Answer:
The correct option is (3) 40/9.
Step-by-step explanation:
Consider the right angled triangle attached below.
The angle FDE is the right angle.
Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:
tan (DFE) = DE/DF
= 40/9
Thus, the correct option is (3) 40/9.
Answer:
C. 40/9
Step-by-step explanation: