9514 1404 393
Answer:
6 feet
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
For a sphere, the volume is ...
V = 4/3πr^3
You want the volumes to be the same when h=8, so we have ...
πr^2·8 = 4/3πr^3
Dividing by πr^2, we have ...
8 = 4/3r
r = 3/4·8 = 6
The radius is 6 feet.
Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Answer:
(8,-1)
Step-by-step explanation:
The point of intersection can be found out by solving the system of equations.
x + 3y = 5
3x - 2y = 26
Multiply (1) by 3 :-
→ 3 ( x + 3y ) = 5 × 3
→ 3x + 9y = 15
Subtracting 3(1) and 2 :-
→ 3x + 9y - 3x +2y = 15 - 26
→ 11y = -11
→ y = (-1)
Put it in 1 :-
→ x -3 = 5
→ x = 3 + 5
→ x = 8
Hence the point of intersection is (8,-1)The 44 members of the glee club are trying to raise at least $6,000 so they can compete in the state championship. They already have $1,210. What inequality can you enter to find the amount each member must raise, on average, to meet the goal?.
Answer:
x=44x(6,000)x1,210
Step-by-step explanation:
HElp Me please i will give brainlist due in 30 MINUTES
plz plz answer this 11 points :)
Answer:
A: 2.9 x $4.25 = 12.325 or 12.33
B: 1.6 x $5.15 = $8.24
$12.33 + $8.24 = $20.57
Step-by-step explanation:
In the LifeSmarts event, students compete
Answer:
in pairs
Step-by-step explanation:
i just took the quiz
Help me please I need answers
Answer:
279°
Step-by-step explanation:
100 + 29 + 88 + 62 = 279
If the hypotenuse is 20 and one of the legs is 12, what is the length of the missing leg?
Answer:
12 cm
Explanation:
From
Pythagoras Theorem
h
2
=
a
2
+
b
2
where
h =
Length of hypotenuse side
a =
Length of one leg
b =
Length of another leg
(
20 cm
)
2
=
(
16 cm
)
2
+
b
2
b
2
=
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
400 cm
2
−
256 cm
2
b
=
√
144 cm
2
b = 12 cmStep-by-step explanation:
Answer:
16 units
Step-by-step explanation:
For a right triangle, a²+b²=c², where a and b are leg lengths, and c is the hypotenuse. Given one leg length and the hypotenuse, we can find the other leg length by plugging in our given information:
a²+b²=c²
12²+b²=20²
144+b²=400
b²=256
b=16
Therefore, the missing leg length is 16 units.
Length = 9 in ; width = 7 in ; height 5 in
What’s the volume?
NEED NOW!
Which triangle is congruent to AABC?
C
A
which similarity prove this picture with explanation A,AA B SAS C SSS
Answer:
it is kinda blurry
Step-by-step explanation:
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its is in my profile
solve this: -4x-2<=10
Answer:
x ≥ -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-4x - 2 ≤ 10
Step 2: Solve for x
[Addition Property of Equality] Add 2 on both sides: -4x ≤ 12[Division Property of Equality] Divide -4 on both sides: x ≥ -3Here we see that any number x greater than or equal to -3 would work as a solution to the inequality.
At a high school, 9 students volunteer for a committee. How many different 4 -person committees can be chosen?
Answer:
126 ways
Step-by-step explanation:
Total number of persons = 9
Number of commitees to be chosen = 4
Since, there is no order in the selection process, we use combination.
Choosing a committee of 4 from 9 will be :
9C4.
Recall :
nCr = n! / (n-r)!r!
9C4 = 9! / 5!4!
9C4 = (9*8*7*6) / (4*3*2*1) = 3024 / 24 = 126 ways
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 14 ft?
Answer:
[tex]196\pi[/tex]
Step-by-step explanation:
The question wants you to find the area of a circle with a radius of 14.
The formula for the area of a circle is:
[tex]\pi r^2[/tex] where r is the radius
Plug in r=14
[tex]14^2\pi[/tex]
Simplify
[tex]196\pi[/tex]
please help asap!
the problem is in the picture
Given:
[tex]AB=6\ BC=r,\ CD=r,\ AD=12[/tex].
To find:
The value of r.
Solution:
We have,
[tex]AB=6\ BC=r,\ CD=r,\ AD=12[/tex].
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., [tex]m\angle D=90^\circ[/tex].
Using Pythagoras theorem, we get
[tex]AC^2=AD^2+CD^2[/tex]
[tex](6+r)^2=12^2+r^2[/tex]
[tex]36+12r+r^2=144+r^2[/tex]
[tex]12r=144+r^2-36-r^2[/tex]
On further simplification, we get
[tex]12r=108[/tex]
[tex]r=\dfrac{108}{12}[/tex]
[tex]r=9[/tex]
Therefore, the value of r is 9.
Which of these tables represents a linear function?
Estimate a 15% tip on a dinner bill of $43.66 by first rounding the bill amount to the nearest ten dollars.
Answer:
$43.66 rounded to the nearest 10 =$40
15% of $40 = $6
Step-by-step explanation:
Trigonometric sequence !! 40Pts!!!!!!!!!!
Step-by-step explanation:
i think the answer is 63.5
Answer:
I agree it is 63.5 Fahrenheit
Step-by-step explanation:
Please help me I will give branliest! Find the two missing sides and write your answer as in simplified radical form. image attached
Answer:
x = y = 15[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 30[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 15[tex]\sqrt{2}[/tex]
The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so
y = x = 15[tex]\sqrt{2}[/tex]
At a coffee shop, the first 100 customers'
orders were as follows.
Answer:
20%
Step-by-step explanation:
you add all the drink orders together for that category. in this situation its going to be cold drinks so you add 8 + 12 + 5 to get 25. then you divide by the drink size that its looking for. in this case its a large so you divide the drink size by the total, 5/25. the answer is 0.2. convert that to a fraction and get 20%
PLEASE CHECK THE SCREEN SHOT
Answer:
x=8
y=10
z=9
Step-by-step explanation:
If ∠I has a measure of 134∘, what is the measure of ∠A?
Answer:
Are the angles complementary or supplementary?
Add. Write your answer in simplest form.
3/4 + 4/9
A. 1 1/9
B. 1 7/36
C. 7/13
D. 1 1/4
Answer: B. 1 7/36
Hope that helped! :)
I NEED HELP! I HAVE A TEST TOMORROW AND I NEVER PAYED ATTENTION!!! Whats the variable next to the number?? Like 2c or 6y
Answer:
It means you multiply the number by that variable.
Step-by-step explanation:
This is used to shorten the equation with a variable. For example, 2c means 2 times c. 6y means 6 times y.
6. What would be the new coordinates
of point B if it was reflected across the
y-axis?
с
Answer:
(2, -4)Step-by-step explanation:
The rule for the reflection across the y-axis:
(x, y) → (-x, y)Coordinates of B is (-2, -4)
New coordinates of B:
(-2, -4) → (2, -4)Rule
(x,y)=(-x,y)
So
Old coordinate is (-2,-4)
New one
(-(-2),-4)(2,-4)Determine the volume of the rectangular prism.
Answer:
30/7 x 1/3 = 1 3/7 cm^3
The height h, in feet, that an arrow will reach t seconds after being shot directly upward is given by the formula h = 112t - 16t2.
How high will the arrow be after 4 seconds?
A. 192 ft.
B. 320 ft.
C. 416 ft.
D. 704 ft.
E. 384 ft.
Answer: E. 384ft.
Step-by-step explanation:
112 - 16 = 96
96 x 4 = 384 ft.
Hopefully this helps! :)
49 T
th
47 Pansy opens a savings account. She uses the
equation: y = $25x + $500 to help her keep track
of her savings, where y is the amount of money
in her account and x is the number of weeks.
Which statement is TRUE?
A. Pansy invests $500 per week.
B. Pansy started her savings account with $25.
C. Pansy plans on investing $100 every 4 weeks.
D. Pansy will take $25 per week from her account
ОО
48 The table below shows the results of a survey on
music listening preferences.
Wh
A.
Answer: D. Pansy will take $25 per week from her account
Step-by-step explanation:
Based on the information given in the question, the true statement is that Pansy will take $25 per week from her account. This is represented by $25x.
For example, if the number of weeks that he used is 8 weeks. The amount in the savings account will be:
y = $25x + $500
y = $25(8) + $500
y = $200 + $500
y = $700
Which is greater |-2| or-2
To Find :
Which is the greater |-2| or -2 .
Solution :
Value of |x| for any value of x ( real number ) is always positive .
[tex]|x| = \left \{ {x , \ for \ x >= 0 \atop { -x, \ for \ x < 0 }} \right.[/tex]
So, |-2| = 2 > -2
Therefore, the value of |-2| is greater than -2 .
Hence, this is the required solution.
How do i find the volume of the prism?
Answer:
- To find the volume of a prism, you find two prisms that you recognize. Or in simpler terms find two Cubic shapes.
- Find the volume of one prism
- Find the volume of the other
- Add together the volumes
Step-by-step explanation:
note: I dont know if you wanted a explanation or to solve it, so il just but the explanation for you
Vikram has a bucket of three different racquetballs, one blue, one black, and one red. He wants to test each ball to see how well they bounce. He reaches into the bucket and removes one ball without looking. He hits the ball against the wall, catches it, and then drops it back into the bucket. He repeats this process twice more, each time choosing a ball without looking.
Part A:
What is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?
Answer:
Part B:
If Vikram does not drop the balls back into the bucket after he hits them, what is the probability that Vikram hits the blue ball, then the black ball, and then the red ball?
Answer:
Answer:
A) 33.3%
B) 50 %
Step-by-step explanation:
A) if there are 3 balls always in the bucket you need to see what one balk represent one ball is 1÷3 which is 0.33 so by knowing that if Vikram drops the ball back into the bucket after the hit there would be a 33 % chance he will chose the same or a different ball in order.
B)if he won't put the ball back in the bucket there will be only 2 balls felt so 1÷2 = 0.5 so there is a 50 % chance of Victor getting the balls in the correct order