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Juli2301 [7.4K]

2 years ago

9

Write 3x 3x 3x 3 x 3 using exponents

1 answer:

Ahat [919]2 years ago

5 0

$3\cdot3\cdot3\cdot3\cdot3=3^5$

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8.<br> Find the arc length of a central angle of 7pi/3 in a circle whose radius is<br> 3inches

pashok25 [27]

$\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in$

4 0

1 year ago

Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What

marissa [1.9K]

Answer:

The velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind $=\frac{2160}{3} = 720 miles/hour$

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind $=\frac{6000}{6} = 1000 miles/hour$

As such its velocity against wind is $x-y$

and with wind is $x+y$ therefore

$x-y=720$ ------------(1)

$x+y=1000$ ---------------(2)

Adding equation 1 and 2.

$2x=1720$

$x=\frac{1720}{2}$

$x=860$

Put x value in equation 2

$860+y=1000$

$y=1000-860$

$y=140$

Hence velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

8 0

3 years ago

3.The side of a square frame is (2b - 1) inches. Find its area.

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

(a - b)² = a² + 2ab + b²

Area of square frame =side²

= (2b - 1)²

= (2b)² - 2*2b * 1 + 1²

= 4b² - 4b + 1

5 0

2 years ago

A store has the following candles in a basket:

Inga [223]

This is your answer.

5 0

2 years ago

Find the Perimeter & Area for the following circle.

Feliz [49]

Answer:

A = 28.3 cubic inches; P = 20.1 inches

Step-by-step explanation:

<em>Looks like 3/4 of a full circle</em>

<em>The area of a circle is calculated with the formula: </em> $\pi r^{2}$

<em>Since the problem wants pi = 3.14, we use 3.14 instead of pi in the equation.</em>

<em>The radius is given as 3 inches</em>

Area = $3.14*3^{2} = 3.14*9 = 28.26$ cubic inches = 28.3 cubic inches

------------------------

<em>Perimeter is calculated with </em> $2\pi r$ <em>.</em>

<em>But this is 3/4 of a circle with an additional two 3-inch sides</em>

Perimeter = $\frac{3}{4}*2\pi r$ + 2(3) = 14.1 + 6 = 20.1 inches

6 0

2 years ago

Read 2 more answers