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Maurinko [17]
2 years ago
14

Help anyone can help me do the question,I will mark brainlest.​

Mathematics
1 answer:
Marrrta [24]2 years ago
5 0

Part (a)

The radius is r = 42 because OA = 42.

The circumference, aka distance around the circle, is

C = 2*pi*r

C = 2*(22/7)*42

C = 264

We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.

So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150

<h3>Answer:  150 degrees</h3>

==============================================================

Part (b)

Compute the area of the full circle

A = pi*r^2

A = (22/7)*(42)^2

A = 5544

Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)

(5/12)*(5544) = 2310

<h3>Answer:  2310 square mm</h3>

==============================================================

Side note: Both answers are approximate because pi = 22/7 is approximate.

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Anyone wanna help?please
timama [110]

\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}

Given to points to us are :-

  • ( 3 , -6 )
  • ( -1 , -8 )

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}

Here ,

  • x1 = 3 .
  • x2 = -1.
  • y1 = (-6)
  • y2 = (-8).

<u>→ Substituting the respective values , </u>

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

<u>Hence the distance between two points is 4√5u.</u>

3 0
3 years ago
In November 2010, an article titled "Frequency of Colds Dramatically Cut with Regular Exercise" appeared in Medical News Today.
disa [49]

Answer:

Part a

For the given study, the explanatory variable or independent variable is given as regularity or frequency of exercise. This variable is classify as categorical variable because variable is divided into two categories such as whether participant exercise 5 or more days a week or not.

Part b

For the given study, the response variable or dependent variable is given as frequency of colds. This variable is classified as quantitative variable because we measure the quantities or frequency of number of colds.

Part c

A confounding variable for this research study is given as incidence of upper respiratory tract infections that provides an alternative explanation for the lower frequency of colds among those who exercised 5 or more days per week, compared to those who were largely sedentary. This confounding variable is categorical in nature.

5 0
3 years ago
84 2/3% to a fraction in lowest terms
RoseWind [281]

The evaluation of 84 2/3% to a fraction in its lowest term is \mathbf{ \dfrac{127}{150} }

<h3>What is a fraction?</h3>

Fractions are sections or parts of a whole. They are divided into two parts, the numerator, and the denominator.

From the given information, we are to convert a mixed fraction into its lowest terms. By doing that, we are to convert it to an improper fraction.

\mathbf{= 84 \dfrac{2}{3}\%}

\mathbf{= \dfrac{(84 \times 3)+2}{3} \%}

\mathbf{= \dfrac{254}{3} \%}

\mathbf{= \dfrac{254}{3} \times \dfrac{1}{100}}

\mathbf{= \dfrac{254}{300} }

Divide both the numerator and denominator by (2)

\mathbf{= \dfrac{127}{150} }

Learn more about fractions here:

brainly.com/question/78672

#SPJ1

3 0
1 year ago
(a) An angle measures 50°. What is the measure of its complement?
Alex Ar [27]

Answer:

a) 40 degrees b) 148 degrees

Step-by-step explanation:

a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.

b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.

7 0
3 years ago
Solve the double inequality<br> 16&lt;5x-6&lt;29
ozzi

Answer:

Step-by-step explanation:

16 < 5x-6 < 29

add 6

22 < 5x < 35

divide by 5

4.4 < x < 7

3 0
3 years ago
Read 2 more answers
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