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2 years ago

Find the diameter of the circle with the given radius. 5. 20 feet

Mathematics

1 answer:

guajiro [1.7K]2 years ago

7 0

Answer:

40 feet

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

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What is 56 1/4% as a fraction in simplest form

Sever21 [200]

56.3 is your answer in simplest from

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3 years ago

Tan(-212°)=____. 1. -cot 32° 2. tan 32° 3. cot 32° 4. -tan 32°

Marrrta [24]

Answer:

4. $-\tan 32$ °

Step-by-step explanation:

Given:

The tangent of the angle is given as:

$\tan (-212\°)$

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.

-212° when measured from counter clockwise direction will be equal to:

$-212\°(Clockwise)=360-212=148\°(CCW)$

Therefore, $\tan (-212\°)$ = $\tan (148\°)$

Now, we have the identity for tan as:

$\tan(\pi-\theta)=-\tan \theta$

Here, $\theta=148\°$

Therefore,

$-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)$

Hence, $\tan (-212\°)$ = $\tan (148\°)$ = $-\tan 32$ °

5 0

2 years ago

Standard deviation of 300, 785, 670, 187, 760, 724

White raven [17]

STEP 1

Mean = $\frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571$

STEP 2

Subtract the mean from each data value then square the answer
$300-571=-271$ ⇒ $(-271)^{2} =73441$
$785-571=214$ ⇒ $(214)^{2}=45796$
$670-571=99$ ⇒ $(99)^{2}=9801$
$187-571=-384$ ⇒ $(-384)^{2} =147456$
$760-571=189$ ⇒ $189^{2}=35721$
$724-571=153$ ⇒ $153^{2} =23409$

STEP 3

Add the squared answers in STEP 2 then find the mean

$\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3$

STEP 4

Square root the answer in STEP 3
$\sqrt{55937.3} =236.5$

Standard deviation is 236.5

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3 years ago

13.) The leading scorer in your high school's hockey league finished the season with an average of 4 goals per game for 15 games

Novosadov [1.4K]

Answer:

5 goals

Step-by-step explanation:

4 goals per game for 15 games means a total of 60 goals in that season. You have 4 goals per game for 14 games meaning you have a total of 56 goals. To overtake the leading team you must score a minimum of 5 goals to become the leading scorer. (Double-check to make sure I am correct)

3 0

2 years ago

Evaluate rq2 + 3qr + r2 for r = 5 and q = 2

abruzzese [7]

Answer is 60 U need to calculate carefully with brackets involving multiplication

7 0

3 years ago