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1 year ago

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There were 200 members at a skating club. After some new members went in, there were 256 members altogether at the skating club.

What was the percentage increase of members at the skating club?

1 answer:

mojhsa [17]1 year ago

4 0

If I think I’m understanding it, the new members out of the 200 original would be adding 28% to the mix

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Given directed line segment QS , find the coordinates of R

Degger [83]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ( $x_1,y_1$ ) and B( $x_2,y_2$ ) is given by the formula:

$x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1$

If point Q is at ( $x_1,y_1$ ) and S at ( $x_2,y_2$ ) and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

$x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1$

Let us assume Q(−9,4) and S(7,−4)

$x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1$

4 0

2 years ago

A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a

Alex787 [66]

Answer:

6.48

Step-by-step explanation:

The computation of tiles are needed to make the border is shown below:-

$= 2 \times (length + breadth)$

where,

Length is 2.02 m

And, the breadth is 1.22

Now placing these values to the above formula

So, the number of tiles needed to make the border is

$= 2 \times (2.02 + 1.22)$

$= 2 \times 3.24$

= 6.48

Therefore for computing the tiles are needed to make the border we simply applied the above formula.

3 0

1 year ago

or the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units Sol

bagirrra123 [75]

Answer, step-by-step explanation:

A. With the previous exercise we can deduce that there is the situation of a number of sales in a grocery store, the relative frequency for the number of units sold, is shown below:

units sold. relative frequency. Acumulative frequency. interval of random numbers

30. 0.16. 0.16. 0.00 <0.16

40. 0.24. 0.4. 0.16 <0.4

50. 0.3. 0.7. 0.4 <0.7

60. 0.2. 0.9. 0.7<09

70. 0.1. 1. 0.9<1

B. For the next point, they give us some random numbers and then it is compared with the simulation of 10 days in sales:

random Units

number. sold

0.12. 30

0.96. 70

0.53. 50

0.80. 60

0.95. 70

0.10. 30

0.40. 50

0.45. 50

0.77. 60

0.29. 40

the two lists are compared so that opposite each one is the result of the simulation

3 0

1 year ago

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

Advocard [28]

The volume of a sphere is given by:

$V= \frac{4}{3} \pi r^{3}$

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:

</span> $V=\pi \int_{a}^{b}[f(x)]^{2}dx$
<span>
Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

</span> $x^{2}+y^{2}=r^{2}$
<span>
Isolationg y:

</span> $y= \sqrt{r^{2}-x^{2}}$ <span>

So,

</span> $f(x)=y=\sqrt{r^{2}-x^{2}}$ <span>

</span> $V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx$
<span>
</span> $V=\pi \int_{a}^{b}(r^{2}-x^{2})dx$ <span>

being -r and r the limits of this integral.

</span> $V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx$
<span>
Solving:

</span> $V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}$

Finally:
<span>
</span> $V=\pi(r^{3}-\frac{r^{3}}{3})-\pi(-r^{3}+\frac{r^{3}}{3})= \frac{4}{3} \pi r^{3}$ <span>
</span><span>
</span>

5 0

1 year ago

Read 2 more answers

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he

Tamiku [17]

Answer:

5 feet

Step-by-step explanation:

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

$y=-0.4x^2+3x$

where y is the height above water and x is the horizontal distance in feet.

If a beam of light is shone upward at an angle modeled by the equation

$x+y=10$

A beam of light hit the dolphin.

So, line must be intersect path of dolphin.

Using substation method,

Substitute y=10-x into dolphin equation.

$10-x=-0.4x^2+3x$

$-0.4x^2+4x-10=0$

$x=\dfrac{-4\pm\sqrt{4^2-4(-10)(-0.4)}}{2(-0.4)}$

$x=5\text{ feet }$

$y=5\text{ feet }$

Hence, The beam hit dolphin at 5 feet.

8 0

2 years ago