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2 years ago

Find the indicated arc and angle measures:

Mathematics

1 answer:

nevsk [136]2 years ago

7 0

Answer:

arc AB = 70°

arc BC = 110°

arc ABC = 180°

arc CDB = 250°

Step-by-step explanation:

Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.

Solve for arc AB:

Angle AFB = 70°, so arc AB = 70°

Solve for arc BC:

Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.

180 - 70 = 110°

Since angle BFC = 110°, arc BC = 110°

Solve for arc ABC:

Add arc AB and arc BC together.

70° + 110° = 180°

arc ABC = 180°

Solve for arc CDB:

There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.

360° - 110° = 250°

arc CDB = 250°

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How does sin 30degrees compare to sin -30degrees?

KiRa [710]

The sine function is an odd function, so the sine of -30° is the opposite of the sine of 30°.

sin(30°) = 1/2

sin(-30°) = -1/2

The sine of 30° is greater than the sine of -30°.

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3 years ago

The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cos

Makovka662 [10]

Answer:

49.65$

Step-by-step explanation:

(20.40 x 2) + 8.85 = 49.65 $

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2 years ago

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.Find the probability that he did not hit a bounda

Margarita [4]

Answer:

The probability of NOT hitting a boundary is (4/5).

Step-by-step explanation:

Let E: Be the event of hitting a boundary

now, Probability of any event E = $\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}$

Here, number of favorable outcomes = 6

So, P(E) = $\frac{6}{30} = \frac{1}{5}$

⇒Probability of hitting a six is 1/5

Now, P(E) + P(not E) = 1

So, P(not hitting a boundary ) = 1 - P(hitting a boundary)

= 1 - (1/5) = 4/5

Hence, the probability of NOT hitting a boundary is (4/5).

4 0

2 years ago

5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?

rodikova [14]

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

$\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}$

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

5 0

2 years ago

A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t

Angelina_Jolie [31]

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

$40x -10x \leq 9,800$

Where $x$ represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

$30x\leq 9,800$

Solving for $x$

$x\leq \frac{9800}{30}\\ x \leq 326.67$

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

7 0

2 years ago