Answer:
Formula: V = 1/3πr^2h
Height: 6cm
Step-by-step explanation:
step one:
given information
volume =32π cm^#
radius=4cm
step two:
The formula is
V = 1/3πr^2h
substituting we have
32π =1/3π*4^2*h
32π=16πh/3
π cancels out
step three:
cross multiply we have
32*3=16h
divide both sides by 16 we have
96/16=h
h=6cm
into my trap!" Justin shouts, laughing like the madman he is. The mouse he captured stares back at him indifferently as it munches on a piece of cheese at the bottom of a box whose base measures
12
cm
12 cm12, start text, space, c, m, end text by
12
cm
12 cm12, start text, space, c, m, end text.
Move the points on the grid below to draw the base of the box in which the mouse is trapped
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You're being asked to move points on a grid so they form a square that is 12 units on a side. We don't know what your points or your grid look like, so we can only guess what your final figure might be. Attached is a square 12 units on a side, similar to one you're asked to draw.
John already owes $13; but is still spending $9 every 4 days. Identify
the slope (m) for this scenario
Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles
Answer:
The answer is below
Step-by-step explanation:
The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:
R² = 12² + 5²
R² = 144 + 25
R² = 169
R = √169 = 13
R = 13 miles
The resultant vector is 13 miles
The direction is gotten from:
θ = tan⁻¹(5/12)
θ = 22.62° North West
The resultant vector is therefore 13 miles North West
Answer:
13.9
Step-by-step explanation:
a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=
Step-by-step explanation:
hope this helps you!! :))
The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
What is angle ?Angle is the space between two lines or surfaces that meet, and is measured in degrees.
So,
According to the question;
[tex]\angle x =65^0[/tex]
([tex]\angle x[/tex] is vertically opposite of the given angle [tex]65^0[/tex])
[tex]\angle y = 71^0[/tex]
(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)
We know that,
Sum of all angles of triangle is equals to [tex]180^0[/tex].
i.e.
[tex]x+y+z=180^0[/tex]
we have,
[tex]65+71+z=180[/tex]
[tex]z=180-136[/tex]
[tex]z=44^0[/tex]
So, the value of [tex]z[/tex] is [tex]44^0[/tex].
Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].
To know more about angle click here
https://brainly.com/question/7116550
#SPJ2
Need help with this please help
Answer: 3/4
Step-by-step explanation:
Slope=rise/run
In this case we rise up 3
And we run 4 to the right
Which makes the slope 3/4
Hi ! The answer would be 3/4.
To get this answer, the red line represents the RISE, and the blue line represents the RUN.
Your slope will always have RISE/RUN.
Now, you count how many squares there are in your rise, in this case, 3.
Then, you do the same for your run, which would be 4.
Rise/Run becomes 3/4.
What would determine it to be a negative? Well, if you see charts like these: You'll see that the red is going up, it is a positive slope, while the blue, which is going down, is a negative slope.
For example, if sales at your store increased, your slope would go up (positive), while if the opposite it'd go down (negative).
In this case, it is a positive slope.
A company makes two sizes of dog toys. The regular size works for most dogs, and the jumbo size is for really big dogs! Last week, the company made 1,740 dog toys. They made 11 times as many regular size toys as jumbo size toys. How many jumbo size dog toys did they make?
Answer: 1595 jumbo size
Step-by-step explanation:
From the question, let regular size toys be represented by a.
We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:
Jumbo side toys = 11 × a = 11a
To calculate the number of jumbo size dog toys they make goes thus:
11a + a = 1740
12a = 1740
a = 1740/12
a = 145
Jumbo size toys = 11a
= 11 × 145
= 1595
3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation
Answer:
-2.56E5
3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5
Answer: -2.56 x 10⁵
:-D
To which subsets of numbers does 30/15 belong ?
30/15 = 2
Since 2 is a natural number, a whole number and an integer, so is 30/15.
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in slope-intercept form.
Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6
X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..
Answer:
I think is c
Step-by-step explanation:
4.1 times 3.14 times two
Answer:
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.
Step-by-step explanation:
can you help me?
Answer:
25.748
Step-by-step explanation:
If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.
George wants to increase the amount of push-ups that he can do each day by 2. He is already able to do 14 push-ups. The amount of push-ups George wants to do each day is given by the linear function f(x) = 2x + 12. Which explicit rule is equivalent to this linear function?
Answer:
Explicit rule used is: f(n) = f(1) + (n - 1)d
Step-by-step explanation:
We are told he currently does 14 push ups per day.
Now, he wants to increase the push ups by 2 per day.
Now, the first term in the sequence of push ups is 14 while the constant difference is 2.
Now, the explicit rule to be used here is arithmetic progression whereby;
f(n) = f(1) + (n - 1)d
Where;
f(1) is first number in the sequence
d is constant difference
n is number of days
Thus, plugging in our values from the question, we have;
f(n) = 14 + (n - 1)2
f(n) = 14 + 2n - 2
f(n) = 2n + 12
This tallies with the linear function given in the question.
Thus; the explicit rule used here is;
f(n) = f(1) + (n - 1)d
Plz I need your help I don’t understand
Answer:
1). 15.5 miles
2). 8.4 miles
3). 0.08 per ounce
Step-by-step explanation:
213 ÷ 6 = 15.5
25.2 ÷ 3 = 8.4
0.96 ÷ 12 = 0.08
Hope this helps!!
Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?
Answer:
180.8
Step-by-step explanation:
multiply 6.40 with the hour 28.25
Hope this helps!
I need help with this pleaseee
WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served
Answer:
There were 135 adults that were served.
Step-by-step explanation:
Let's use c for child's cost and a for adult's cost.
The total amount is 1347.50. With this, we can create an equation to solve for adults.
a + c = 250
3.50c + 7a = 1347.50
Using system of equations, we can plug in values to get our answer.
c = 250 - a
3.50(250 - a) + 7a =
875 - 3.5a + 7a =
3.5a = 472.5
135 = a
115 = c (when you plug a into the equations)
There were 135 adults that were served.
Answer:
135
Step-by-step explanation:
x = number of child's plate
y= number of adult's plate
x+y=250 => 1
3.50x+7y=1347.50 => 2
Multiplying equation 1 by 3.50,
3.50x+3.50y=875 =>
Subtracting equation 3 from equation 2,
3.50x +7y - 3.50x - 3.50y = 1347.50 - 875
3.50y = 472.50
y= 135
HURRY PLEASE I’ll mark you as brainliest
What is the line's y-intercept?
Answer:
1
Step-by-step explanation:
For each value of y, determine whether it is a solution to 7= y ÷ 3.
the answer is yes, 21
Step-by-step explanation:
you would multiply 7 and 3 to get y
Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1.69 a square foot, what is the total costs to tile the kitchen?
Answer:
Total Cost of tile = $273.28
Step-by-step explanation:
From the given information:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
Suppose the cost of the tile = $1.69 a square foot.
Then the total costs to tile the kitchen is calculated as follows:
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
6x = 8x - 18
- 2x = - 18
x = 18/2
x = 9
Thus, the width = x = 9 ft
the length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 ft
Area = L × W
Area = (18 × 9)ft
Area = 162 sq. ft.
Cost of a Tile = $1.69 per sq. ft.
Thus;
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28
Answer:
$273.78
Step-by-step explanation:
the other guy is wrong my dude
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
Evaluate.
please help
me solve this
Answer:
[tex]1[/tex] [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Hope this helps
Answer:
[tex]1 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Answer:
I'm so sorry I can't help
Write a quadratic function f whose zeros are - 5 and 7.
Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.
Answer:
range is -8,10,28
Step-by-step explanation:
9(1)-17=-8
9(3)-17=10
9(5)-17=28
Hope this helps
30 - 19r + 15 - 9r =
25 points!
Answer:
45-28r
Step-by-step explanation:
30+15-19r-9r
45-19r-9r
45-28r
I hope this is right! Hope this helps!
Answer:
[tex]45-28r[/tex]
Step-by-step explanation:
Combine like terms
[tex]30-19r+15-9r = 30+15-19r-9r=45-28r[/tex]
estimate 29.14 divided by 3.2071
Answer:
9.05 is my estimate
Step-by-step explanation:
The actual answer should be 9.08 etc....cause its a repeating decimal.
When a figure is increased to make a larger image, are the two figures congruent?
Answer:
No because Congruent means the same, but since it's a different size than the original then they aren't the same.
Step-by-step explanation:
A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?
Answer:
3 gallons
Step-by-step explanation:
if 1 gallon is consumed for 54 miles
what about 164 miles ..
so you take 1 * 162
..........
54
Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. Its population in 1991 was 20,899,000 people. Use the formula P = 20.899e^0.032t to predict its population P in millions with t equal to the number of years after 1991. What is the predicted population to the nearest thousand of Mexico City for the year 2010?
Answer:
Predicted population of Mexico City in year 2010 = 38386000
Step-by-step explanation:
Formula to be used for the population of Mexico,
P = 20.899[tex]e^{0.032t}[/tex]
Where t = Duration after year 1991
P = Final population
Number of years between 2010 and 1991 = 19 years
Predicted population of Mexico city after 2010 = 20.899[tex]e^{0.032\times 19}[/tex]
= 20.899 × (1.8368)
= 38.38633 million
= 38.386 million
Therefore, predicted population of Mexico City in year 2010 = 38386000
Answer:
38386000
Step-by-step explanation:
got it right on edge
NEED HELP PLEASE IM BEGGING YOU !!!!!
I NEED HELP WITH 6 AND 7 PLEASE
Answer:
6. is H
7. is B
Explanation:
the communitive property states that if: a+b=c, then b+a=c
if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10