All categories

3 years ago

Helppppppppppp me please

Mathematics

1 answer:

sladkih [1.3K]3 years ago

5 0

Given:

The radius of the given diagram = 9 inches

The value of given angle = 120°

To find the length of the arc.

Formula:

The relation between arc (S), radius (r) and the angle ( $\theta$ ) is:

$S$ = $2\pi r(\frac{\theta}{360})$

Now,

Putting, $r = 9, \theta = 120 ^\circ$ we get,

$S = 2(\pi)(9)(\frac{120}{360} )$

$S = 6\pi$

Hence,

The length of the arc is $6\pi$ inches.

You might be interested in

Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.

ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0

3 years ago

5e = 18.1 ---I gotta know what number the e is---

Inessa [10]

Answer:

b I guess

Step-by-step explanation:

I just wanna get point

6 0

3 years ago

Find the perimeter and area of the polygon with the given vertices. W(5,?1), X(5, 6), Y(2,?1), Z(2, 6)

shepuryov [24]

Answer:what are the choiese

Step-by-step explanation:

4 0

3 years ago

Express sin(3theta) in terms of sin (theta)

BigorU [14]

3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅)
Opening brackets on the right hand side;
= sin2∅ cos ∅ + cos2∅sin∅
This simplifies to;
= 2sin∅cos^2∅ + sin∅ (1- 2sin^2∅)
= sin∅ (2cos^2∅ + 1 - 2sin^2∅)
= sin∅ (2(1 - sin^2∅) +1-2sin^2∅)
= 3sin∅ - 4sin^3∅

7 0

3 years ago

Read 2 more answers

The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation o

Wittaler [7]

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 121 and standard deviation of 16.

This means that $\mu = 121, \sigma = 16$

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{160 - 121}{16}$

$Z = 2.44$

$Z = 2.44$ has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

5 0

3 years ago