Answer:
M = 20
Step-by-step explanation:
given M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
to find k use the condition when r = 4, M = 160 , then
160 = k × 4³ = 64k ( divide both sides by 64 )
[tex]\frac{160}{64}[/tex] = k , then
k = 2.5
M = 2.5r³ ← equation of proportion
when r = 2 , then
M = 2.5 × 2³ = 2.5 × 8 = 20
Pleaseeeee help with this! Thank you so much!
Answer:
≈ 7.85 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
given A = 225π , then
πr² = 225π ( divide both sides by π )
r² = 225 ( take square root of both sides )
r = [tex]\sqrt{225}[/tex] = 15
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 15 × [tex]\frac{1}{12}[/tex]
= 30π × [tex]\frac{1}{12}[/tex]
= [tex]\frac{30\pi }{12}[/tex]
≈ 7.85 cm ( to 2 dec. places )
You buy $2. 75$ pounds of pistachios and $2$ pounds of cashews. Do you pay more for the pistachios or for the cashews?
Answer:
pistachios
Step-by-step explanation:
you pay more for the pistachios because $2.75 is greater than $2
Your teacher announced a 50-point math quiz for tomorrow. The quiz will have 15 questions with word problems worth 4 points each and some open response questions worth 3 points each. Find the number of each type of question. You may use any of the methods to solve. Check your answer.
Answer:
5 word problems(4points each) & 10 open (3 points each)
Step-by-step explanation:
O= open response
W= word problems
W+O =15
4W + 3O = 50
multiply the first by -3 to eliminate O
-3W -3O = -45
4W + 3O = 50
AD BOTH
W = 5 ( 5 questions word problems)
O= 10 ( 10 questions open response)
5x4 = 20
10x3 = 30
20 + 30 = 50 points
How you solve this by using solving proportions
3/(x + 4) = (x + 2)/5
Multiply both sides by 5 :
5 × 3/(x + 4) = 5 × (x + 2)/5
15/(x + 4) = x + 2
Multiply both sides by x + 4 :
(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)
Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:
15 = (x + 4) (x + 2)
Expand the product on the right side:
15 = x² + 6x + 8
Move everything to one side:
0 = x² + 6x - 7
We can factorize easily in this case
0 = (x + 7) (x - 1)
Then
x + 7 = 0 or x - 1 = 0
⇒ x = -7 or x = 1
Please can you help...
x/6 = -2
what is x
Answer:
x = -12
Step-by-step explanation:
[tex]\frac{x}{6}=-2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}6[/tex]
[tex]\frac{6x}{6}=6\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-12[/tex]
~Learn with Lenvy~
Answer:
[tex]\rm\hookrightarrow[/tex] x = -12
Step-by-step explanation:
[tex]Solution,\\\\\rm\hookrightarrow \frac{x}{6} =-2\\\\\rm\hookrightarrow x=-2\times6\\\\\rm\hookrightarrow x=-12[/tex]
Brice used a $100 bill to pay for a $65. 82 purchase. How much change should he get back?
the local college has a swimming pool that measures 50 m longand 25m wide. If you swam from one corner to the other, how far would you swim
Answer:
55.902m
Step-by-step explanation:
a^2 + b^2 = c^2
the diagonal line through the swimming pool is the hypotenuse that splits the pool into two equal right triangles
25^2 + 50^2 = c^2
625 + 2500 = c^2
3125 = c^2
root3125 = 55.902
Please help (math) I hate math-
Answer:
D
Step-by-step explanation:
There are 3 adults going because when there are 9 students, there is one adult, so that means that you divide 9 from 27. The answer is 3. The last equation matches that operation because 9n means 9 multiplied with n is the same as 27.
Answer:
option D
Step-by-step explanation:
9 students = 1 adult
therefore, 9n = 27
Factorise using suitable identity
1.a²+8a+16
The circumference of a circle is 31.4 yards. What is the circle's diameter? C=31.4 yd Use 3.14 for .
Step-by-step explanation:
c= 31.4
c= πDD= C/π
D= 31.4/3.14 = 10 yards[tex]\longrightarrow[/tex] 10 yards
Given :-[tex]\red{\leadsto}\:[/tex][tex]\textsf{Circumference \:of \:the \:circle} [/tex][tex]\sf= 31.4 \:yards [/tex]
Solution:-[tex]\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}[/tex]
r is radius of circle[tex]\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2\times 3.14 \times r= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 6.28 \times r= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf r= \frac{31.4}{6.28} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered} [/tex]
[tex]\green{ \underline { \boxed{ \sf{Diameter = 2 \times radius }}}}[/tex]
[tex]\begin{gathered}\\\implies\quad \sf Diameter = 2\times 5\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered} [/tex]
Find the volume of the triangular prism shown below:
Answer:
18 cm³
Step-by-step explanation:
To find the volume of a triangular prism, find the area of the cross-section (in this case, the triangle) and multiply it by the length.
The area of the triangle is 1/2 × 4 × 3 = 6 cm²
Now, multiply 6 by 3 to get 18 cm³
Hope this helps!
4 1/6 + 5 2/3
Enter your answer as a mixed number in simplest form
Answer:
above is the solution to the question
Solve 3/4 divided by 5/6 and then reduce the answer.
Answer:
(3/4) : (5/6) = 910 = 0.9. Spelled result in words is nine tenths.
Step-by-step explanation:
Answer:
9/10
Step-by-step explanation:
to divide by a fraction, multiply by its reciprocal.
3/4 x 6/5
cancel the common factor of 2
3/2 x 3/5
multiply 3 x 3 and 2 x 5
9/10
the fraction is already reduced to the final answer is 9/10.
At a concert 20% of the audience members were teenagers. If there were 1800 people at the concert, how many of those people were teenagers ?
Answer:
360 of the people were teenagers
Step-by-step explanation:
To find percentages you need to divide the number by 100
∴ 20% of 1800
=20 ÷ 100 ×1800
=360
∴ there were 360 teenagers at the concert.
How many solutions are in the equation
Answer:
no solutions
Step-by-step explanation:
The equation simplifies to 13 = -3, which is not true for any value of x.
What is the measure of DAE?
B
E
31°
D
C
PLEASE HELPPP!!
Answer:
Since BAF is the opposite of DAE, they are equal to each other. 134 - 89 = 45. The correct answer is 45
Step-by-step explanation:
30 POINTS: Two crocodiles together can finish their snack in 40 seconds. One of these crocodiles can finish it alone 60 seconds. How long would it take the second crocodile to finish the same snack?
Answer:
120
Step-by-step explanation:
took quiz it was correct!
Answer:
120
Step-by-step explanation:
Which operation should you perform last in the expression 12 × 42?
Answer:
The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.
Step-by-step explanation:
0
Select all the equations that are equivalent to this equation.
1/4 (8X + 56) = 20
56 + 8X = 80
14 = 20 – 8x
2X + 14 =5
simplify each expression
5/4÷7/16
-10/13×5/11
9/11÷(-20/21)
-8/3÷(-5/18
Answer:
5/4÷7/16=20/7
-10/13 x 5/11=-50/143
9/11÷(-20/21)=-189/220
-8/3÷(-5/18)=-48/5
Step-by-step explanation:
hope this helped!!
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
Linear negative association
Step-by-step explanation:
All points are in a line, so it is linear.
As x increases, y decreases. That is a negative association.
Answer: Linear negative association
How many solutions does the system of equations below have?
3x - 2y = 4
6x - 4y = -11
I think 3 or maybe 2 because if ........
Determine if each set of numbers can be the lengths of the sides of a right triangle:
Solution:
The side lengths can only be classified as a right triangle if it is a Pythagorean triple. To classify the side lengths as a Pythagorean triple, it must satisfy "c² = b² + a²".
Where:
c = Longest side (Hypotenuse)b = Lega = LegChecking (5, 12, 13):
c² = b² + a²13² = 12² + 5²169 = 144 + 25169 - 144 = 2525 = 25 (Yes)Checking (12, 35, 20√3):
(20√3)² = 35² + 12²(20√3)(20√3) = 1225 + 1441200 = 1225 + 144 (No)Checking (5, 10, 5√5):
(5√5)² = 10² + 5²125 = 100 + 25125 = 125 (Yes)Checking (8, 12, 15):
15² = 12² + 8²225 = 144 + 64 (No)Checking (20, 99, 101):
101² = 99² + 20²10201 = 9801 + 40010201 = 10201 (Yes)35 POINTS! Identify JS rounded to the nearest tenth.
please help I will give brainliest fr!
Answer:
JS is about 69.4
Step-by-step explanation:
Notice that the given side length JW = 67 is opposite to the given angle S = 44º. JS is adjacent to angle S, so we use the tangent function to solve for JS:
[tex]\tan 44^{\circ} = \frac{JW}{JS}\\\\\tan 44^{\circ} = \frac{67}{JS}\\\\JS = \frac{67}{\tan 44^{\circ}}\\\\JS = 69.3805[/tex]
Round JS to the nearest tenth, 69.4.
Answer:
JS is approx. 69.4
Step-by-step explanation:
This triangle is close to a 45-45-90 triangle. So you then know the answer should be close to 67 because the other side is the same. This leaves us with JS=64.7 and JS=69.4. Another rule says that the side with the smaller angle is greater. 69.4 is greater.
I need help with 2(4/3)x8x15+280919 we couldn’t use calculator
Answer:
281,319.005
Step-by-step explanation:
Because 2 and 4/3=3 and 1/3
Because since the numerator= 4 and the denomeyer is 3 we can add another whole number so 2 and 4/3 can add whole so 2 + 1=3 wholes with 1 left over so 3 1/3.
Next we do 3 1/3 x 8 which=26.667 also known as 26 2/3
Because 2/3=66.667.
Next we so 26 and 2/3 x 15=400.005
And last 400.005 + 280,919=281,319.005
Hope this helps have a great day:)
A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid
Answer:
100 unit^2
Step-by-step explanation:
lateral surface area of right pyramid = .5*p*s
p = perimeter
s = slant ht
LS = 100 unit^2
Determine the value of x.
x feet
14 feet
48 feet
Answer:50 feet
142+482=502
196+2304=2500
Step-by-step explanation:
Find the slope of a line going through (0, 4) and (-2, 2).
Answer:
slope = 1
Slope-intercept form: y = 1x + 4
Step-by-step explanation:
Plot the 2 points on a graph. Count the rise and the run from point A to point B. From point A, you go down 2 and to the left 2 to get to point B. Meaning, the slope is -2 over -2. (-2/-2)What is -2 divided by -2? Positive 1 From there you can use the point-slope formula and find the slope-intercept form.Hope this helps!
the area of a square is equal to the area of a rectangle of length = 8cm breadth = 2cm .
what is the side of the square❓
Answer:
4 cm
Step-by-step explanation:
Area of rectangle = Area of square
= 8 x 2
= 16 cm²
Side length = √Area
= √16
= √4 x √4
= 4 cm
Write and solve an equation to answer the question.
What number is 16% of 80?
show steps to get brainliest
Answer:
12.8
Step-by-step explanation:
write it down on the calculator to get the result...
no. = 80 × 16% = 80 × (16/100) = 80 × 0.16 = 12.8