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dolphi86 [110]
3 years ago
6

40 is 75% of what? 3 is 8.5% of what? 5 is what percent of 95?

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

1. 53.33

2. 35.29

3. 5.26

Step-by-step explanation:

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In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
White raven [17]

Answer:

F = 9.75cm

Step-by-step explanation:

Given

In ABC;

C = 3.9cm

Dilation = 2.5

Required

Determine side F

In the given question;

DEF is a dilation of ABC

Comparing both triangles side by side,

Side F is a direct dilation of side C and this is calculated as follows

F = Dilation * C

F = 2.5 * 3.9cm

F = 9.75cm

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3 years ago
Solve the equation.<br> 4x = -28<br> x=_____
Liono4ka [1.6K]
I think x= -7 because 4x7=28
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Need your help now please; the assignment is due tonight and this is the last problem I am having trouble with. The red box is t
Kobotan [32]

The volume of the region R bounded by the x-axis is: \mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}

<h3>What is the volume of the solid (R) on the X-axis?</h3>

If the axis of revolution is the boundary of the plane region and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.

From the given graph:

The given straight line passes through two points (0,0) and (2,8). Thus, the equation of the straight line becomes:

\mathbf{y-y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}

here:

  • (x₁, y₁) and (x₂, y₂) are two points on the straight line

Suppose we assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8)  from the graph, we have:

\mathbf{y-0 = \dfrac{8-0}{2-0}(x-0)}

y = 4x

Now, our region bounded by the three lines are:

  • y = 0
  • x = 2
  • y = 4x

Similarly, the change in polar coordinates is:

  • x = rcosθ,
  • y = rsinθ

where;

  • x² + y² = r²  and dA = rdrdθ

Therefore;

  • rsinθ = 0   i.e.  r = 0 or θ = 0
  • rcosθ = 2 i.e.   r  = 2/cosθ
  • rsinθ = 4(rcosθ)  ⇒ tan θ = 4;  θ = tan⁻¹ (4)

  • ⇒ r = 0   to   r = 2/cosθ
  •    θ = 0  to    θ = tan⁻¹ (4)

Then:

\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^2 (rdr d\theta )}

\mathbf{\iint_R(x^2+y^2)dA = \int ^{tan^{-1}(4)}_{0} \int^{\frac{2}{cos \theta}}_{0} \ r^3 dr d\theta}

Learn more about the determining the volume of solids bounded by region R here:

brainly.com/question/14393123

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3 0
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URGENT PLS HELP&lt;3 Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets.
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Answer:

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Step-by-step explanation:

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let 'n' be the number of person that is n=1,2,3,4........

note that the value of n is always a natural number

therefore the expression = 5n

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4 0
2 years ago
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John deposited $500 in a savings account at an annual interest rate of 5%. If John does not deposit or withdraw any money, what
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Answer:

The answer is 250 in interest.

Step-by-step explanation:

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