Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
See below.
Step-by-step explanation:
The formula for the volume of a sphere
= 4/3 π r^3 where r = the radius.
So for number 1:
V = 4/3 π (5)^3
= 523 .60 mm^3 to nearest hundredth.
The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4, r = 30/2 = 15.
10k^2 - 10k + 2 = -k
Answer:
k=0 or k=9/10
Step-by-step explanation:
10k^2 - 10k- (-k) = - k- (-k)
10k^2-9k=0
k(10k-9)=0
k=0 or 10k-9=0
k=0 or k=9/10
Answer:k=(1/2,2/5)
Step-by-step explanation:
A square garden has sides that are 17 meters long. Fencing costs $9.00 per meter. How much would it
cost to put a fence around the garden?
Answer:
$612
Step-by-step explanation:
Each side of the square garden is 17 meters, and fencing costs $9 per meter. "Around" is the key word, as it indicates perimeter. So, we just need to account for each side of the garden, and not the entirety of the garden. So,
17 · 9 = 153
This means that to cover one side of the garden, it would cost $153. Now, we just need to account for all sides of the garden.
153 x 4 = 612
Answer:
The answer would be 612$ to put a fence around the garden
or 153 for 17 meters
Step-by-step explanation:
I believe that it is 612 because it says sides
let me know if it is correct
not a quiz just need help
A triangle has sides with lengths of 26 inches, 73 inches, and 76 inches. Is it a right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
We know that there are 2 legs and 1 hypotenuse. The hypotenuse is 76 because it is the largest number. And the two legs are 73 and 26. Now to find if it is a right triangle we will take 73 and multiply it by itself, which is 5,329. Now we will do the same with 26 and we get 676. Then we add 676 to 5,329 and we get 6,005. Because we are trying to find the hypotenuse, we have to find what number when squared makes 6,005. Since 76 x 76 = 5,776 it is not a right triangle.
Here is an image of the triangle:
5 yd
.
6 yd
Byd
Click Here:
Evaluate: : Σ8 n=1 (-2)n-1= [?]
Answer:
I believe N = -1/10
Step-by-step explanation:
monthly salary of a teacher was Rs 12000 last month.lf the salary increase by 20% find his salary this month
Answer:
new salary = ₹ 14400
Step-by-step explanation:
here's your solution
==> monthly salary = ₹ 12000
==> percentage increase in salary = 20%
=> we need to find 20% of 12000
==> increased amount = ₹ 2400
==> salary of this month = 12000 + 2400
==> new salary = ₹ 14400
hope it helps
Anthony paints fences. He charges $35 for painting supplies and $15 for each hour, h, he
works. If Anthony charges Jill $155, which equation can be used to determine the number of
hours Anthony spent painting Jill's fence?
Choices:
A: 15h+35=155
B: 15-35h=155
C: 15h=155
D: 35h= 155
Please help fast!
(6th grade math)
PLEASE HELP OUT
(45 is incorrect I know that already)
Answer:
∠ B = 60°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(10x - 45)° is an exterior angle of the triangle , then
10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )
3x - 45 = 0 ( add 45 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Then
∠ B = 4x = 4 × 15 = 60°
Answer:
∡B=60°
Step-by-step explanation:
x = 15
so 4x = 60
7x + 180 - (10x-45) = 180
-3x + 225 = 180
-3x = -45
x = 15
solve 6x + 6 = 3x - 6
Answer:
x = -4
I hope it's helps you t
Answer:
x = -4
Step-by-step explanation:
Simplifying
6x + 6 = 3x + -6
Reorder the terms:
6 + 6x = 3x + -6
Reorder the terms:
6 + 6x = -6 + 3x
Solving
6 + 6x = -6 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + 6x + -3x = -6 + 3x + -3x
Combine like terms: 6x + -3x = 3x
6 + 3x = -6 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + 3x = -6 + 0
6 + 3x = -6
Add '-6' to each side of the equation.
6 + -6 + 3x = -6 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = -6 + -6
3x = -6 + -6
Combine like terms: -6 + -6 = -12
3x = -12
Divide each side by '3'.
x = -4
which model could represent the expression below:
3 divided by 4/7
I believe the answer would be D.
Answer:
Answer is B . I took the quiz and got a 100.
Step-by-step explanation:
4x – 4 = – 12
X = ?
What is X ?
Answer:
X=-2
Step-by-step explanation:
4x-4=-12
Add 4 on both sides
+4 +4
4x=-8
Divide by 4 on both sides
÷4 ÷4
X=-2
Answer:
-2
Step-by-step explanation:
4x-4=-12
4x=-12+4
4x=-8
x=-8/4
x=-2
What is the slope of the line that passes through the points (3,8) and (8, 13)? Write
your answer in the simplest form
Answer:
1
Step-by-step explanation:
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
Answer:
A = 126 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 9 , then
A = 14 × 9 = 126 cm²
Please help with this question 20 points
Answer:
G
Step-by-step explanation:
Please. Help me ☹️☹️
Graph a line that is perpendicular to the given line. Determine the slope of the given
line and the one you graphed in simplest form. Click and drag on the graph to draw a
line.
Answer:
Original slope: 3/4
Perpendicular slope: 4/3
Step-by-step explanation:
Find the original slope by using rise over run, then flip the original slope which finds your perpendicular slope.
The ages in years of eight boys are 14,
14.5, 12, 11.5, 15, 13, 10.5, 13.5. What is
their average age?
A. 14 B. 13
C. 12 D. 11
Answer:
B) 13
Step-by-step explanation:
Average age means to calculate mean:
Mean = (Sum of all numbers)/(Number of numbers)
Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8
Mean = (104)/8
Mean = 13
Need by 11:59 tonight
Answer:
ok ill answer at 11:58 bro bro
Step-by-step explanation:
Verify the identity. (cos x/ 1+ sin x) + (1+ sin x/cos x) = 2 sec x
Answer:
LHS
[tex]\frac{cos x}{1+ sin x} + \frac{1+ sin x}{cos x} \\=\frac{cos2(x)+1+2sin(x)+sin2(x)}{cos(x)(1+sin(x)} \\= \frac{2+2sin(x)}{cos(x)(1+sin(x))} \\\\=\frac{2 (1 + sin(x))}{cos(x)(1+sin(x))} \\= \frac{2}{cos (x)} \\= 2 sec x[/tex]
= RHS PROVED
hope it helps :)
A car's velocity, in mph, is recorded simultaneously by five different sensors, with the results: 45, 46, 46, 45, 48. Estimate a range of values in which the car's true velocity is likely to lie.
Answer: [tex]45-48\ \text{mph}[/tex]
Step-by-step explanation:
Given
Car velocity is given by [tex]45, 46, 46, 45, 48[/tex]
The range of a given set of data is given by
[tex]\text{Range=Max-min. value}[/tex]
Maximum velocity=48
Minimum velocity=45
The Range of velocity is
[tex]\Rightarrow 48-45=3[/tex]
Velocity lies between [tex]45-48\ \text{mph}[/tex]
write the root of x in ax^2+bx+c=0
Answer:
the root of x in ax^2+bx+c=0
is
x=[-b±√(b²-4ac)]/2a
Max wants to find our the exercise habits of local children. He plans to survey every third child he sees coming out of sporting goods store. Is this sample biased or unbiased?
Help on this complete the square problem.
[tex]x^2+3x+7[/tex]
what are the solution to 2logx=log(2x+3)
PLEASE HELP ASAP
Use the angle and protractor shown to answer the question.
What is the measure of angle LMN?
Answer:
Well,for me it's letter C.
-2 < n s6
n is an integer.
What are the possible values of n?
can someone tell me if the left side is right? if not whats the correct way? also help me with the right side please :/
Answer:
Right: Y=52
Left: X=19
Step-by-step explanation:
What is x to the nearest tenth?
Answer:
A. 37.5
Step-by-step explanation:
Sam puts $40 in a savings account and continues adds $8 each week. Pam puts $8 in her account nd adds $12 each week. How long before both accounts are equal