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2 years ago

6

Convert the angle from radians to degrees:

"\frac{5}{6}\pi" alt="\frac{5}{6}\pi" align="absmiddle" class="latex-formula"> with working

1 answer:

bogdanovich [222]2 years ago

4 0

150 degrees according to the unit circle.

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A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

Monica [59]

Answer: $4x^{2}+80x-500=0$

Step-by-step explanation:

1. You know that:

- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

$A=l*w$

Where $l$ is the lenght and $w$ is the width.

You have that the lenght and the width in feet are:

$l=30\\w=10$

3. Let's call $x$ the width of the roped-off area. Then, the combined area is:

$A_c=l_c*w_c$

Where

$A_c=800$

$l_c=l+x+x=30+2x$

$w_c=w+x+x=10+2x$

4. Substitute values and simplify. Then:

$800=(30+2x)(10+2x)$

$800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0$

5 0

4 years ago

Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are tradem

kipiarov [429]

Answer: B -4

Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.

7 0

2 years ago

Which correlation coefficient best matches the graph?

Ymorist [56]

Answer:

The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.❤

7 0

3 years ago

Darla is taking a survey at her school. She finds that 20 out of 100 students have fish as pets. This means that her experimenta

Arisa [49]

Answer:

The second option

Step-by-step explanation:

This is because the more samples she has, the closer her experimental probability will be to the real value.

6 0

4 years ago

From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far i

Alexandra [31]

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

8 0

3 years ago