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2 years ago

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The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height

of the fifth player is unknown. 137 cm, 150 cm, 144 cm, 149 cm Is the fifth player taller or shorter than 141 centimeters?

1 answer:

joja [24]2 years ago

7 0

$\frac{137+150+144+149+x}{5} =141$

$x=125$

Therefore, the man is shorter than 141 centimeters.

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recall the equation for a circle with center (h,k) and radius r At what point in the first quadrant does the line with equation

Angelina_Jolie [31]

9514 1404 393

Answer:

≈ (3.578, 5.789)

Step-by-step explanation:

We can substitute for y and solve for x.

(x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r

x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle

x^2 +((0.5x +4) -4)^2 = 16

(5/4)x^2 = 16

x = 8/5√5 . . . . multiply by 4/5 and take the square root

y = 0.5x +4

y = 4/5√5 +4

The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).

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2 years ago

Can someone explain how to get the answer,<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B105%7D%7B2%7D%20" id="TexFormula1"

krek1111 [17]

$\bf \cfrac{x}{5}-\cfrac{x}{7}=3\impliedby 
\begin{array}{llll}
\textit{let's multiply both sides by }\stackrel{LCD}{35}\\
\textit{to do away with the denominators}
\end{array}
\\\\\\
35\left( \cfrac{x}{5}-\cfrac{x}{7}\right)=35(3)\implies 7x-5x=105
\\\\\\
2x=105\implies x=\cfrac{105}{2}$

4 0

2 years ago

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Y -2x is less than or equal to -3

erica [24]

Answer:

EQUAL TO -3

Step-by-step explanation:

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3 years ago

A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

$\angle DCB =45^\circ\\\angle ACB =75^\circ\\$

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the $\triangle ABC$ , we are given the base BC and the $\angle ACB$ , and the perpendicular is to be find out.

We can use trigonometric identity:

$tan\theta =\dfrac{Perpendicular}{Base}$

$tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft$

Hence, D. $tan(30^\circ+45^\circ)$ is the correct answer.

5 0

2 years ago

Calculate the volume of the following object:

frozen [14]

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

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Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

3 0

2 years ago

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