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4 years ago

63 is 45%of what number

Mathematics

2 answers:

LUCKY_DIMON [66]4 years ago

7 0

63 divided by 45% = 1.4
1.4 x 100 = 140.
ans: 140

swat324 years ago

6 0

63 is 45% of the number 140

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Roberto wants to estimate the answer to this problem to see if his answer is reasonable.

marusya05 [52]

5849 rounded to the nearest hundred
- The number '8' is located in the hundreds place
- Since there is a '4' in the tens place, it's telling number '8' to stay the same
5849 ⇒ 5800

2621 rounded to the nearest hundred
- The number '6' is located in the hundreds place
- Since there is a number '2' in the tens place, it's telling number '6' to stay the same
2621 ⇒ 2600

Answer: 5800 - 2600

6 0

3 years ago

The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b

Neko [114]

<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>

7 0

3 years ago

Read 2 more answers

Oceanside Bike Rental Shop charges a sixteen dollar fixed fee plus seven dollars an

Romashka-Z-Leto [24]

Answer:

8 hours

Step-by-step explanation:

72-16=56

56÷7=8 hours

8 0

3 years ago

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$$\Rightarrow \frac{h}{2}=r$

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

$$\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3$ (formula)

$$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3$

$$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3$

Hence it is true.

Option A, option C and option E are true.

6 0

4 years ago

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Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP

dexar [7]

Selections 2, 3, 5, 6 are polynomials.

1 and 4 are not. The coefficients don't have to be integers, but the powers of the variables need to be positive integers. In 1, you have x^-1. in 4, you have x^(1/2).

3 0

3 years ago