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2 years ago

In the triangle shown we can find the angle θ as follows calculator

1 answer:

3 0

Given a right triangle with hypothenus of measure 34, the side opposite the angle θ of measure 30, and the side adjacent the angle theta of measure 16.

$\sin\theta= \frac{opposite}{hypothenuse} = \frac{30}{34} = \frac{15}{17} \\ \\ \Rightarrow \theta=\sin^{-1}\left( \frac{15}{17} \right) \\ \\ \\ \cos\theta= \frac{adjacent}{hypothenuse} = \frac{16}{34} = \frac{8}{17} \\ \\ \Rightarrow \theta=\cos^{-1}\left( \frac{8}{17} \right) \\ \\ \\ \tan\theta= \frac{opposite}{adjacent} = \frac{30}{16} = \frac{15}{8} \\ \\ \Rightarrow \theta=\cos^{-1}\left( \frac{15}{8} \right)$

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which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

givi [52]

Which expression is equivalent to 100 n2 − 1? (10n)2 − (1)2 (10n2)2 − (1)2 (50n)2 − (1)2 (50n2)2 − (1)2

Regroup:
100n^2-1

=10^2n^2-1
=(10n)^2-1^2

So the correct answer is :
(10n)^2-1^2

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5 0

2 years ago

Read 2 more answers

During hibernation a garter snake's body temperature never goes below 3 C write and graph an inequality that represents this sit

Akimi4 [234]

>3c
because it never goes BELOW which is why you put the sign

3 0

2 years ago

In figure find the area of the red part.

larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45° as AE is diagonal of Square of side 4

=> ∠AEF + 180° - 2α + 45° = 180°

=> ∠AEF = 2α - 45° = 8.13°

in Left side area between square and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area between square and circle = 4² - (1/4)π4²

= 3.4336 sq unit

half = 1.7168 sq unit

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF

AE = 4√2 , EF = 4 angle = 8.13°

area ΔAEF = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area sector EGF = (8.13/360)π4² = 1.135 sq unit

area AFG = 1.6 - 1.135 = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252 sq unit

= 1.25 sq unit.

Hope this helps!!

5 0

2 years ago

Read 2 more answers

Will give brainliest to correct answer.

ryzh [129]

We can solve this problem by seeing at which part both of the parts of the graphs of the function are discontinued. Both of the parts of the graph of the function are discontinued at -2, so we will have to find a function that has a value that is undefined for x = -2. We can do this using the denominator of the fraction that's in each of the functions. The function where x = -2 will cause it to be undefined is the third one, so the answer to this question is C., f (x) = $\frac{1}{x+2}$ +5.

4 0

3 years ago

HELP ME PLZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Lady bird [3.3K]

Answer:

The answer is 90 winners.

Step-by-step explanation:

Well, we are given three days. The first day has a rate of 13% winning. The second day has a rate of 13% as well. And the third day has a rate of 11%. You can find this simply by dividing the amount of winners by amount of participants. Now, we must find the mean, or average, of these statistics. We will get 12% as the average rate of winners. How did we get this? By simply adding all three (13+13+11) then dividing by three (37/3), which gives us 12% if we round to a whole number. Now, we can take this number and get 12% of 750. How do we do this? Well, 12% is equal to 0.12. So we will multiply 0.12 by 750. This will give us 90. And there you have your answer.

<em>Alternatively</em>, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. <u>Do what is best for you!</u>

Hope this helped!

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2 years ago