Answer: 694.4 in^2
Step-by-step explanation:
We have a cylinder with:
diameter = d = 10 inches
heigth = h = 16 inches.
The total surface of a cylinder is equal to:
S = h*2*pi*(d/2) + 2*pi*(d/2)^2
we can replace the numbers and get:
S = 16*2*3.14*(10/2) + 2*3.14*(10/2)^2 = 659.4 inches squared
The number of goldfish in a tank is 19, and the volume of the tank is 52 cubic feet. What is the density of the tank?
Answer:
0.37 goldfish per cubic feet
Step-by-step explanation:
Density has the formula = number/volume
Density = 19/52 = 0.36538 which is rounded to 0.37
Answer:
0.37 goldfish / cu ft. (to the nearest hundredth).
Step-by-step explanation:
Density = number of goldfish / volume of the tank.
That is 19 / 52
= 0.37 goldfish / cu ft.
If Quadrilateral JKLM is a square, where points J(-6, 0), K(?, ?), L(9, -1) and M(2, 7) are known. Find the coordinates of point K.
Group of answer choices
(-1, -8)
(5, -15)
(1,8)
(1, -8)
Answer:
-1 -8
Step-by-step explanation:
Answer:
(1,8)
Step-by-step explanation:
only point that doesn't go through other lines
Seth's mother brought home 3/4 of a chocolate cake and 1/2 of a vanilla cake that was left from a party at her work. Seth ate 1/3 of the chocolate cake that was left. How much of the whole chocolate cake did he eat?
Answer:
1/4 of the cake.
Step-by-step explanation:
Since he ate 1/3 of 3/4 of the chocolate cake, we will need to multiply fractions to solve this.
[tex]\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}[/tex]
Therefore, he ate 1/4 of the entire cake.
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x2 - 9x + 20
Step-by-step explanation:
y + 5x = x² + 10 Simplify this equation
- 5x - 5x
y = x² - 5x + 10
Set both equations equal to each other since they both equal y
x² - 5x + 10 = 4x - 10
-4x - 4x
x² - 9x + 10 = -10
+ 10 + 10
x² - 9x + 20 = 0
If this answer is correct, please make me Brainliest!
Find the area of a rectangle with the given base and height 9ft , 3in
Answer:
324 in^2
Step-by-step explanation:
If you transfer the 9 ft to inches you get 108 in
108x3=324
Answer:
21
Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.
Answer: it will take 5 hours to reach -1 °F.
Step-by-step explanation:
The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence(the starting point)
d represents the common difference.
n = x = the number of terms in the sequence(number of hours)
From the information given,
a = 0(at 1 pm, number of hours is 0)
d = - 4 degrees (it is decreasing)
Tn = -1 °F.
We want to determine the number of hours, x when Tn = -1 °F
Therefore,
- 1 = 0 + (x - 1)- 4
- 1 = - x + 4
x = 4 + 1
x = 5 hours
Please help and show work and steps
Answer:
I and III
Step-by-step explanation:
On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].
which of the following is equivalent to 5 cube root 13^3
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
Order each set of the numbers from LEAST to GREATEST
0.23, 19%, 1/5
Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. Find the corresponding height of M.
We have been given that two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. We are asked to find the height of M.
First of all, we will find the ratio between sides of rectangle M and N using proportions.
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{ Volume of N}}{\text{ Volume of M}}[/tex]
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{136\text{ cm}^3}{17\text{ cm}^3}[/tex]
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{8\text{ cm}^3}{1\text{ cm}^3}[/tex]
Now we will take cube root on right side to find length in cm.
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\sqrt[3]{\text{8 cm}^3}}{\sqrt[3]{\text{1 cm}^3}}[/tex]
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{2 cm}}{\text{1 cm}}[/tex]
Therefore, sides of rectangle N is 2 times greater than sides of rectangle M.
To find height of rectangle M, we will divide side of rectangle N by 2.
[tex]\text{Height of rectangle M}=\frac{18}{2}=9[/tex]
Therefore, height of rectangle M is 9 cm.
What is 20 divided by 2
Answer:
10
Step-by-step explanation:
10 x 2 = 20
10 = 20 / 2
Answer:
10
Step-by-step explanation:
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20
these 2 questions please will mark brainly
Answer:
[tex]28\sqrt{2}[/tex]
Step-by-step explanation:
To answer this question, you must split 98 into 2 factors:
98
2 49
7 7
2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:
[tex](7)4\sqrt{2}[/tex]
[tex]28\sqrt{2}[/tex]
Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.
Answer: it is not a right triangle
12^2=7^2+10^2
144=49+100
144=149
To prove this we try the pitagor teorem which the largest side is the hypotenuse
It is not a right triangle.
We have given that,
The triangle has side lengths 7, 10, and 12.
What is the Pythagoraus theorem?
[tex]hypotenous^2=side^2+side^2[/tex]
12^2=7^2+10^2
144=49+100
144=149
The pitagor theorem which the largest side is the hypotenuse.
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if 2x+15= 30
then what is x?
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
Pls help me answer this if ur good at algebra. Thanks .
Answer:
Step-by-step explanation:
Answer of this question is 2
Answer:
Step-by-step explanation:
!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRAINLIEST♡
three fifths multiplied by two tenths
Answer:
0.12 in decimal form and fraction form is 3/25
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
three fifths times two tenths = six over fifty simplified version = three over twenty-five
What is the area of the composite figure
to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.
first, find the area of the triangle:
multiply 13 and 5 to get 65.
divide 65 by 2.
32.5.
then, find the area of the rectangle:
multiply 5 and 14 to get 70.
add those answers up, and you get:
102.5
Maggie buys 1 1/2 pounds of walnuts pounds of walnuts 8 ounces 8 ounces of pecans of pecans and 3/4 pounds of almonds how much do the nuts weigh in all
Answer:
[tex]2\frac{3}{4}[/tex] pounds
Step-by-step explanation:
Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.
To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.
She buys 8 ounces of pecans.
1 ounce = 0.0625 pounds
8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds
Therefore, the total weight of nuts that she buys is:
[tex]1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}[/tex]
The nuts weight [tex]2\frac{3}{4}[/tex] pounds in all.
Answer:
the answer is 2 3/4 pounds
Step-by-step explanation:
Please help, thank you.
Answer:
Photoreceptors
Step-by-step explanation:
This is the answer but I don't see it on there . . .
Question:This is a light sensitive tissue that lines the back of the eye
Answer: Retina
Aaron baked two identical cakes. He cut one into 9 equal
slices and the other into 18 equal slices.show that 2/3 of the 9-slice cake gives the same
number of pieces as 1/3 of the 18-slice cake.
Answer:
23
Step-by-step explanation:
2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
Step-by-step explanation:
if 2.5kg=£1.40
then 4.25kg=!
then cross multiply
4.25×1.40=2.5
5.95÷2.5kg=£2.38
Answer:
4.25 kg = £2.38
Step-by-step explanation:
The formula for working out the price per quantity is : [tex]\frac{Price}{Amount}[/tex]
To work this out you would first need to convert the mass of 2.5 kilograms into grams. You can do this by multiplying 2.5 by 1000, this gives you 2500 grams. This is because 1 Kg is equivalent to 1000 g and so by multiplying it by 1000 we are converting the kilograms into grams.
Then the next step is to divide the price of £1.40 by the quantity of 2500, this gives you 0.00056. This is because we are working out how much it costs for 1 g of potatoes.
Now that we know the price per gram we can now start working out the price of 4.25 kg. You can do this by first multiplying the mass of 4.25 kg by 1000, this gives you 4250. This is because we are converting the kilograms into grams.
The final step is to multiply the price per gram which is 0.00056 by 4250, this gives you £2.38.
1) Multiply 2.5 by 1000.
[tex]2.5*1000=2500[/tex]
2) Divide 1.40 by 2500.
[tex]1.40/2500=0.00056[/tex]
3) Multiply 4.25 by 1000.
[tex]4.25*1000=4250[/tex]
4) Multiply 0.00056 by 4250.
[tex]0.00056*4250=2.38[/tex]
Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
Answer:
2.8-5.4
Step-by-step explanation:
4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right
What is the probability that 2 randomly selected months have 31 days?
Answer:
31.8%
Step-by-step explanation:There are 7 months that have 31 days so,
The odds the first selected month has 31 days is 7/12
The next month there are only 6 months left with 31 days of only 11 months to choose from
so the odds for the second are 6/11
To calculate the odds they BOTH have 31 months you multiply the two odds:
(7/12) x (6/11) = 42/132 = .318 so 31.8%
The required probability is 0.318 or 31.8% (in the form of a percentage) that 2 randomly selected months have 31 days.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 7 months with 31 days, therefore
The probability that the first picked month has 31 days is 7/12.
There are just 6 months left with 31 days of only 11 months to choose from the following month.
As a result, the odds for the second are 6/11.
To determine the probabilities that they both have 31 months, multiply the two odds:
⇒ (7/12) × (6/11)
⇒ 42/132
Apply the division operation,
⇒ 0.318
⇒ 31.8% in the form of a percentage
Thus, the required probability is 0.318 or 31.8% that 2 randomly selected months have 31 days.
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A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.
8
4
2
[tex]2\sqrt{2}[/tex]
Answer:
2√2
Step-by-step explanation:
r(t) = (2t, t²)
v(t) = dr/dt
v(t) = (2, 2t)
v(1) = (2, 2)
|v(1)| = √(2² + 2²)
|v(1)| = 2√2
Factor the perfect square trinomial 25x^2-60x+36
Since it is a perfect square trinomial, it is of the form:
a^2x^2-2abx+b^2 which simplifies to (ax-b)^2
Therefore:
sqrt(a)=sqrt(25)=5
sqrt(b)=sqrt(36)=6
Plug in a and b:
(ax-b)^2
(5x-6)^2
Test to make sure it did fit the formula:
-2abx=-60 (where x is 1)
-2(5)(6)=-60
-2(30)=-60
-60=-60
Answer:
(5x-6)^2
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?
Write the equations:
a +c = 15
a = 15-c
29.95a + 21.95c = 353.25
Replace a in the last equation:
29.95(15-c) + 21.95c = 353.25
Simplify:
449.25 - 29.95c + 21.95c = 353.25
449.25 - 8.00c = 353.25
Subtract 449.25 from both sides:
-8.00c = -96.00
Divide both sides by -8.00:
c = -96 / -8
c = 12
There were 12 children.
The equation of a circle is given below.
x^{2}+(y+4)^{2} = 64x
2
+(y+4)
2
=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64
What is its center?
((left parenthesis
,,comma
))right parenthesis
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
[tex]x^2+(y+4)^2=64x[/tex] (2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):
[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]
you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)
