What is the answer please?

Which of the following are in correct order from greatest to least?

Marat540 [252]

Given:

Four series of angles are given.

To Find:

Identify the series with the correct order from greatest to least.

Solution:

the correct order from greatest to least is what is shown in the fourth option, i.e.,

$330$

Calculation:

Now, we use the fact that

$\pi =180$

to calculate the values of

$\frac{\pi}{2}, \frac{2\pi}{3}, \frac{7\pi}{6}, \frac{5\pi}{3}$

So, we have

$\frac{\pi}{2} = 90\\\\\frac{2\pi} {3}=\frac{(2)(180)}{3} = 120\\\\ \frac{7\pi} {6}=\frac{(7)(180)}{6} = 210\\\\ \frac{5\pi} {3}=\frac{(5)(180)}{3} = 300\\\\$

Looking at the above values, we see that the correct order from greatest to least is what is shown in the fourth option, i.e.,

$330$

5 0

3 years ago

Read 2 more answers

A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

The area of rectangle is given as:

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

Help me with this question please, giving 15 points.

Sunny_sXe [5.5K]

Answer:

D. 108.25 sq in

Step-by-step explanation:

Area of triangle = bh/2

Area of bottom triangle = 4.3(5)/2 = 10.75

Area of a lateral triangle = 13(5)/2 = 32.5

Area of 3 lateral triangles = 3(32.5) = 97.5

Total surface area = 10.75 + 97.5 = 108.25

4 0

3 years ago

The local drugstore offers its employees a 15 percent discount on their prescriptions. If Lucy, an

bogdanovich [222]

Answer:

Discount-.15*70=10.50

Final price-70-10.5=59.5

5 0

4 years ago

Read 2 more answers

Match each transformation to the best description of the transformation.

zhannawk [14.2K]

Answer:

c a b

Step-by-step explanation:

brailiest pls

5 0

3 years ago