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2 years ago

4 boys have a mean height of 162cm.Another boy with a height of 165cm joins them.What is the new mean height?

Mathematics

1 answer:

Marina CMI [18]2 years ago

7 0

Answer: 162.6cm

Step-by-step explanation:

4 boys have a mean height of 162cm. Their total height will be the average multiplied by the number of boys which will be:

= 162 × 4

= 648cm

A new boy with height of 165cm joined. This means that we now have 5 boys and their total height will be:

= 648cm + 165cm

= 813cm

The new mean height will be:

= Total height / Number of boys

= 813 / 5

= 162.6cm

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Use the distance formula to find the distance, to the nearest tenth, from S(7, −1) to V(−1, 3).

34kurt

Answer: 8.9 units (choice C)

Explanation:

We plug $(x_1,y_1) = (7,-1) \text{ and } (x_2,y_2) = (-1,3)\\\\$ into the distance formula to get the following

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-(-1))^2 + (-1-3)^2}\\\\d = \sqrt{(7+1)^2 + (-1-3)^2}\\\\d = \sqrt{(8)^2 + (-4)^2}\\\\d = \sqrt{64 + 16}\\\\d = \sqrt{80}\\\\d \approx 8.94427\\\\d \approx 8.9\\\\$

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1 year ago

In Rhombus ABCD if BD is 24 ft and AD is 15 ft, then what is the length of AC?

Evgen [1.6K]

Answer:

AC = 24ft

Step by Step Explanation.

Given.

Rhombus.

BD = 24ft

AD = 15ft

Required

Length of AC

A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)

The opposite sides of a parallelogram are always of equal length

From the attached diagram (not drawn to scale), side AC opposites side BD

Given that BD = 24ft, then

AC = BD = 24ft.

Hence, AC = 24ft

4 0

3 years ago

The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis

andreyandreev [35.5K]

Answer:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable $x$ to represent the money earned during fundraising activities and $M$ for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

$M = 60\%\ of\ x\\OR\\M = 0.6x$

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

$M = 0.6 \times 72\\\Rightarrow \$43.2$

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

$850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67$

So, the answers are:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

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2 years ago

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Alex_Xolod [135]

Answer:

8.3 cm

Step-by-step explanation:

The product of lengths to the near and far point of intersection with the circle is the same in all cases:

(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)

Since we're only interested in x, we can divide by 4 and subtract 4:

49 cm² = (4 cm)(4 cm +x)

(49/4) cm = 4 cm +x . . . . . . divide by 4 cm

8.25 cm = x . . . . . . . . . . . . . subtract 4 cm

To the nearest tenth, x = 8.3 cm.

_____

For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.

___

The angles depend on the size of the circle, which is not given.

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3 years ago

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Mumz [18]

Answer:

It's B

Step-by-step explanation:

Because I randomly guessed and that was the answer.

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2 years ago

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