Answers
Answer:
144π
Step-by-step explanation:
The formula for finding the surface area of a sphere is 4π[tex]r^{2}[/tex]
Substitute 6 in for r. 4π[tex]6^{2}[/tex] = 144π
Related Questions
Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply. Leena consumed 1,500 calories at dinner. The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation. Leena consumed 500 calories at dinner. The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis.(x) = x(400 + 300) can be used to model the situation. Leena consumed 1,000 calories at dinner. The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x.x(400 + 300) = x can be used to model the situation.
Answers
Answer:
The two answers are
(a) Leena consumed 1,500 calories at dinner.
(b) The equation 2/3 (x+400+350)= x can be used to model the situation.
Step-by-step explanation:
Answer:
A)Leena consumed 1,500 calories at dinner.
B)The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.
Step-by-step explanation:
a) 110° b) 135
C) 150
6. a) If 4x® and 5x® form a linear pair, find them.
b) If (2x - 10) and (3x + 20) are a linear pair, find them.
c)
A pair of complementary angles are in the ratio 2:3, find them.
d) The difference of complementary angles is 10°. Find the measures of the
angles.
e) Find the size of an angle which is five times its supplement.
f) Find the supplementary angles in which one angle is 40° more than the
other angle
g) If the supplement of an angle is four times its complement, find the ang
7. Let's find the sizes of unknown angles.
Answers
Answer:
(a)80 degrees and 100 degrees
(b)58 degrees and 122 degrees.
(c)36 degrees and 54 degrees
(d)50 degrees and 40 degrees
(e)150 degrees
(f)70 degrees and 110 degrees
(g)60 degrees
Step-by-step explanation:
Definitions
Complementary Angles are angles that add up to 90 degreesSupplementary angles are angles that add up to 180 degrees.(a)
If 4x and 5x form a linear pair, then:
4x+5x=180
9x=180
x=20
The angles are 80 degrees and 100 degrees respectively.
(b)
If (2x - 10) and (3x + 20) are a linear pair, then:
2x-10+3x+20=180
5x+10=180
5x=180-10
5x=170
x=34
The angles are:
2x-10=2(34)-10=58 degrees
3x+20=3(34)+20=122 degrees.
(c)
A pair of complementary angles are in the ratio 2:3
The angles will be:
[tex]\dfrac{2}{5} \times 90^\circ =36^\circ\\\dfrac{3}{5} \times 90^\circ =54^\circ[/tex]
(d)
The difference of complementary angles is 10°
Let the first angle =x
Let the second angle =y
Difference: x-y=10
Since they are complementary, x+y=90
Solving the two simultaneously
[tex]x-y=10\\x+y=90\\-----\\2x=100\\x=50^\circ\\$Recall: $x-y=10\\50-y=10\\y=50-10\\y=40^\circ[/tex]
The two angles are 50 degrees and 40 degrees respectively.
(e)If an angle is 5 times its supplement
Let the supplement =x
The other angle =5x
Therefore:
5x+x=180
6x=180
x=30
The angle will then be: 5 X 30 =150 degrees
(f)If one angle is 40 more than the other and the two angles are supplementary
Let the first angle be x
The second angle will be: x+40
x+x+40=180
2x=180-40
2x=140
x=70
The two angles are 70 and 110 degrees respectively.
(g)
Let the angle =x
Its Supplement = 180 -x
Its complement =90 -x
The supplement of the angle is four times its complement.
180-x=4(90-x)
180-x=360-4x
4x-x=360-180
3x=180
x=60
The angle is 60 degrees.
Help please ?
Solve 2x - 5 = 7
Answers
Answer:
x = 6
Step-by-step explanation:
2x - 5 = 7
Add 5 on both sides.
2x - 5 + 5 = 7 + 5
2x = 12
Divide both sides by 2.
2x/2 = 12/2
x = 6
Please help me ASAP!!
Answers
Answer:
r = -4
Step-by-step explanation:
If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.
This creates the equation 1-8r=13-5r.
Now it's just simple algebra.
You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.
Checking our answer, you see that 1-8(-4)=1-(-32)=1+32=33, and 13-5(-4)=13-(-20)=13+20=33.
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 266(1.05) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2010?
Answers
Answer:
The yearly growth percentage is 5%
The worth of the company in 2010 is 433 million of dollars approximately
Step-by-step explanation:
The annual growth percentage;
We can write the equation of w as follows;
W = 266 (1 + 0.05)^t
Compare this with ;
W = I(1 + r)^t
Where W is the worth at a particular year
I is the initial worth at year 2000
r is the rate of increase per year
and t is the time since 2010
where it is the 0.05 that represents the yearly growth percentage (r)
0.05 as a percentage is 5/100 which is 5%
Now, we want to calculate the worth of the company in the year 2010
The first thing to do here is to calculate the value of t.
The value of t is the difference between the years 2000 and 2010 and that is 2010-2000 = 10 years
Now to find the worth at 2010, simply substitute that value of t = 10 in the equation
Thus;
W = 266(1.05)^10
W = 433.2859707228
Which is approximately 433
Complete the table of values for y=x^2-2x+5 (see table in comments)
Answers
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answers
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
lyle has 1/6 of a pound of sunflower seeds. he wants to divide them evenly into 5 snack containers. how many pounds of sunflower seeds will be in each container
Answers
Answer:
0.03333333333333
Step-by-step explanation:
1/6 = 0.1666666666666
0.16666666666666 / 5 = 0.03333333333
answer me step by step
if don't I will report you
Answers
Explain
Area of 4 congruent parallelograms= 308cm^2
Area of 1 parallelogram = 308/ 4
Area of 1 parallelogram = 77 cm ^2
h+h= 14
As h+h=2h
2h=14
Divide both side by by 2
H= 7
Solve for b
As b+b = 2b
2b+6=y
Subtract both side by 6
2b+6-6=y-6
Combining numbers
2b=y-6
Divide both side by 2
2b/2 = y-6/2
Cancel 2
B= y-6/2
We have of 1 parallelogram = 77 cm^2
H= 7
B= y-6/2
Parallelogram area = bh
So now parallelogram area = y-6/2 x7
And area of 1 parallelogram = 77 cm^2
Y-6/ 2 x 7 = 77
Y-6/2 x 7= 7(11)
Cancel 7
Y-6/2 = 11
Multiple both by 2
2(y-6/ 2) = 11x2
Cancel 2 and multiple numbers
Y-6=22
Add 6 both sides
Y-6+6=22+6
Y=28
Help!!!!! please!!!!!
Answers
Answer:
D: 502.65 in²
Step-by-step explanation:
The volume is h·π·r² where h=10 and r = 8/2 = 4.
So that is 160π ≈ 502.6548
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the statements below, simplify all ratios and keep them as improper fractions. If cos(θ) = and sin(θ) is negative, then sin(θ) = and tan(θ) = .
Answers
Question:
If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.
Answer:
[tex]Sin\theta = \frac{-15}{17}[/tex]
[tex]Tan\theta = \frac{15}{8}[/tex]
Step-by-step explanation:
Given
cos(θ) =-8/17
Required
sin(θ) = __
tan(θ) =__
The first step is to determine the length of the third side
Given that
[tex]cos(\theta) = \frac{Adj}{Hyp}[/tex]
Where Adj and Hyp represent Adjacent and Hypotenuse
[tex]cos(\theta) = \frac{-8}{17}[/tex]
By comparison
[tex]Adj = -8\ and\ Hyp = 17[/tex]
Using Pythagoras
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
By Substitution
[tex]17^2 = (-8)^2 + Opp^2[/tex]
[tex]289 = 64 + Opp^2[/tex]
Subtract 64 from both sides
[tex]289 - 64 = 64 - 64 + Opp^2[/tex]
[tex]225 = Opp^2[/tex]
Take square roots of both sides
[tex]\sqrt{225} = \sqrt{Opp^2}[/tex]
[tex]\sqrt{225} = Opp[/tex]
[tex]15 = Opp[/tex]
[tex]Opp = 15[/tex]
The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such
[tex]Opp = -15[/tex]
From trigonometry
[tex]Sin\theta = \frac{Opp}{Hyp}[/tex]
[tex]Sin\theta = \frac{-15}{17}[/tex]
Also from trigonometry
[tex]Tan\theta = Sin\theta / Cos\theta[/tex]
[tex]Tan\theta = \frac{-15}{17} / \frac{-8}{17}[/tex]
[tex]Tan\theta = \frac{-15}{17} * \frac{-17}{8}[/tex]
[tex]Tan\theta = \frac{-15 * -17}{17 * 8}[/tex]
[tex]Tan\theta = \frac{15 * 17}{17 * 8}[/tex]
[tex]Tan\theta = \frac{15}{8}[/tex]
A jar containing 17 coins (pennies, dimes and quarters) has a total value of $2.06. If you remove 5 pennies, 5 dimes and 5 quarters from the jar, which coins will remain in the jar?
Answers
5 dimes= .50
5 quarters= $1.25
Add those together and get:
1.80
Subtract 1.80 from 2.06
And you’ll get:
.26
Meaning there is a quarter and a penny left.
5 dimes equal $0.50
5 quarters equal $1.25
In total that is $1.80
If you take that away from $2.06 you get $0.26.
You have 2 coins left so you have one quarter and one penny.
(7 - 10i) – (3 + 30i) =
Express your answer in the form (a - bi).
x
Answers
Hey there! :)
Answer:
4 - 40i
Step-by-step explanation:
Subtracting the two expressions:
(7 - 10i) - (3 + 30i)
Distribute the negative sign:
7 - 10i - 3 - 30i
Combine like terms:
4 - 40i
Answer:
4 - 40i.
Step-by-step explanation:
(7 - 10i) – (3 + 30i)
= 7 - 10i - 3 - 30i
= 7 - 3 - 10i - 30i
= 4 - 40i
Hope this helps!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
Range: y ≥ -1
Step-by-step explanation:
The are no limits on the domain because x can be any value
( x-3) ^2 must be greater than or equal to zero since it is squared
0 -1 = -1
The smallest value the range can be is -1
y ≥ -1
Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Answers
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
Learn more about triangles on:
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Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + 13 x minus 48. What is the four-term polynomial and factored form of the polynomial? x2 + 7x + 6x – 48 = (x + 7)(x + 6) x2 – 12x + 4x – 48 = (x – 12)(x + 4) x2 + 16x – 3x – 48 = (x + 16)(x – 3) x2 – 16x + 3x – 48 = (x – 16)(x + 3)
Answers
Answer:
Step-by-step explanation:
The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).
Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are
(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.
The factored form of the given polynomial is (x - 3)(x + 6)
Calculation of the factor:Since the equation is [tex]x^2 + 13x - 48[/tex]
Now
The four-term polynomial is
[tex]x^2 + 16x - 3x - 48[/tex]
x(x + 16) - 3(x + 16)
(x - 3)(x + 6)
Here polynomial represents the expression that includes the additions, subtraction, etc
Therefore, The factored form of the given polynomial is (x - 3)(x + 6)
Learn more about polynomial here: https://brainly.com/question/15854277
Find out more on Polynomial at: brainly.com/question/2833285
A newspaper reports says a company made £700.00 profit llast year. It was 12% more than last year work out how much profit the company made the previous year
Answers
Answer:
£616
Step-by-step explanation:
700 - 12% = 616
616 is 12% less than 700
The money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £120 a week and pays £41 in tax.
Answers
Answer: The answer is given below
Step-by-step explanation:
From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:
m = w - t
The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:
m = w - t
m = £120 - £41
m = £79
A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answers
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48
Find value of (0.001) 1/3
Answers
Answer:
[tex] \frac{1}{3000} [/tex]
Step-by-step explanation:
calculator
the picture is the qestion
Answers
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5
Write 0.0000953 in scientific notation.
Answers
Answer: 9.53x10^-5
Step-by-step explanation:
Scientific notation means the coefficient must be between 0 and 10 and preferably without zeros because they are implied. move the decimal 5 times to the right to get 9.53 as your coeifficient and state the movement of the decimal
Answer:
Hello!
____________________-
0.000095 = 9.53 x 10^-5
Step-by-step explanation:
Hope this helped you!
Stephan can run 3 miles in 15.75 minutes. Kelsha can run 5 miles in 226 minutes.
Who can run faster?
Unit rate for Stephan:
Unite rate for Kelsha.
Answers
Answer:
Step-by-step explanation:
Stephan can run
3 miles in 15.75 minutes
1 miles in 15.75/3 minutes
1 miles in 5.25 minutes
Kelsha can run
5 miles in 226 minutes
1 miles in 226/5 minutes
1 miles in 45.2 minutes
Stephan can run faster, since 5.25 < 45.2
Stephan can run faster, than Kelsha since 5.25 < 45.2.
What is speed?Speed is defined as the ratio of the distance traveled by the body to the time taken by the body to cover the distance. The unit of speed is measured in a meter per second, Miles per second, etc. Speed is a scalar quantity and does not require direction.
The speed for Stephan will be calculated as below:-
3 miles in 15.75 minutes
1 mile in 15.75/3 minutes
1 mile in 5.25 minutes
The speed for Kelsha will be calculated as below:-
5 miles in 226 minutes
1 mile in 226/5 minutes
1 mile in 45.2 minutes
Therefore, Stephan can run faster, than Kelsha since 5.25 < 45.2.
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Can someone please help me I really need help please help me thank you
Answers
Answer:
71
Step-by-step explanation:
Because this triangle is an isosceles, the base angles are equal
the top angle is 38 and triangles add up to 180
so 180-38=142
then divide that by 2
which is 71 so x=71
Which of the following is the graph of y = negative 4 StartRoot x EndRoot?
Answers
Answer:
Use a graphing calculator.
Step-by-step explanation:
Graph:
f(x) = -4√x
━━━━━━━☆☆━━━━━━━
▹ Answer
f(x) = -4√x
▹ Step-by-Step Explanation
You can use a graphing calculator as the previous answer suggested as well. The image is attached below.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What is the volume of the sphere shown below with a radius of 3?
17.3-
A. 125 cu. units
B. 72s cu units
C. 365 cu. units
D. 108 cu. units
Answers
Answer:
volume of the sphere
=4/3π × r³
=4/3π × 3 × 3 × 3
=4/3π × 27
=36π ( c )
The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, We know that;
volume of the sphere is,
V = 4/3π × r³
Here, We have;
r = 3
Hence, We get;
V = 4/3π × 3 × 3 × 3
= 4/3π × 27
=36π
Thus, The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
Learn more about the multiplication visit:
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Which set of points does NOT represent a function?
OA) (-4,-2), (-1,3), (0, 3), (5, -6)
OB) (1 -1), (3, -1), (5, -1), (-1, -1)
OC) (-2, 6), (5, 6), (-2,-6), (4,5)
OD) (7,4), (-4, 7), (-7,-4), (4, -7)
Answers
Answer:
OC is not a function
Step-by-step explanation:
It's not a function because the x cannot repeat.
Please answer it in two minutes now
Answers
Answer:
u = 14
t =8
Step-by-step explanation:
To make the triangles congruent
3u = u+28
Subtract u
3u-u = u+28-u
2u = 28
Divide by 2
2u/2 = 28/2
u = 14
12t = 16t -32
Subtract 16t
12t-16t = 16t-32-16t
-4t = -32
Divide by -4
-4t/-4 = -32/-4
t = 8
Answer:
t = 8
u = 14
Step-by-step explanation:
For the triangles to be congruent, the sides must be equal. Set each side on the first triangle equal to the corresponding side on the second triangle.
Solve.
u + 28 = 3u
28 = 2u
14 = u
12t = 16t -32
-4t = -32
t = 8
The two values for t and u are 8 and 14, respectively.
Which graph represents this function f(x) = 1/2x - 5
Answers
Answer:
B.
Step-by-step explanation:
Well if the y intercept is -5 and the y intercept is the point on the line that touches the y axis we can cross out choices C. and D..
And the slope is positive so we can cross out A. So the final answer is B.
Answer:
B
Step-by-step explanation:
We can solve this by reasoning:
GIven that the equation is f(x) = (1/2)x - 5
we first notice that the gradient (represented by the x-coefficient) is (1/2). Because it is a postie value, we expect the graph to have a positive slope (i.e going from bottom left to top right).
By observing the choices, only B and C have this gradient, hence we can ignore A and C
Further, we can see that the constant term in the equation is (-5), this means that the y-intercept occurs at y = -5.
We can see that for C, the graph crosses the y-axis at y = 5, Hence we can ignore C, leaving B as the correct answer
Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10.
THE 2s ARE EXPONENTS
Answers
Answer:
212
Step-by-step explanation:
3m² + 2p² - 15
= 3 * 3² + 2 * 10² - 15
= 27 + 200 - 15
= 212