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2 years ago

If 4 sec a _ 5 = 0, evaluate 2 cos a + 5 sin a ÷ 2 sin a + 5 cos a

Mathematics

2 answers:

Effectus [21]2 years ago

8 0

Answer:

sorry but I don't know the answer for this

Sever21 [200]2 years ago

4 0

Answer:

23/26 = 0.8846=0.88 [ to the nearest hundredth]

Step-by-step explanation:

4 sec a-5 = 0; seca=1/cos a

Therefore;

4 sec a-5 = 0=>4/cos a - 5 = 0

Multiplying through by cos a, we have;

4-5cosa= 0=>4= 5cosa

4/5 = cosa

a = cos^{-1}0.8

=36.88

Alternatively Cos a =4/5

Sina = 3/5; {note Cos a = adjacent / hypothesis and from Pythagoras rule we can derive the value of the opposite side which is;

5^2 -4^2 = 25-16 = 9; hence the opposite side is √9 = 3;sin a = opposite/ hypothenus = 3/5}

Substituting the value of Cosa and Sina into the expression below;

2 cos a + 5 sin a ÷ 2 sin a + 5 cos a

We have ;

[2×4/5 + 5× 3/5 ]/ [2 × 3/5 + 5× 4/5]

[8/5 + 15/5 ]/ [6/5 + 20/5]

[23/5]/[26/5] = 23/5 × 5/26 = 23/26

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Based on a survey, that 46% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the

Wewaii [24]

$n=5,x=3,p=0.46,q=0.54$ .

<u>Step-by-step explanation:</u>

Here we have , Based on a survey, that 46% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three on them are comfortable with delivery by drones. We need to find the values of n,x,p,and q .Let's find out:

According to question , 46% of consumers are comfortable having drones deliver their purchases , So , Probability of success :

⇒ $p=0.46$

And , probability of failure :

⇒ $q=1-p =1-0.46$

⇒ $q=0.54$

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x = Number of people exactly comfortable = 3

Therefore , $n=5,x=3,p=0.46,q=0.54$ .

4 0

3 years ago

Al goes 8 mph Ben goes 22 mph in the opposite direction. How many hours has ben traveled when they are 180 miles apart?

NeTakaya

after 6 hours Al and Ben will be 180 miles apart.

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3 years ago

Game consoles: A poll surveyed 341 video gamers, and 89 of them said that they prefer playing games on a console, rather than a

Orlov [11]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.

Of 341 surveyed players, 89 said that they prefer using a console.

The sample resulting sample proportion is p'= 89/341= 0.26

If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.

H₀: p ≥ 0.28

H₁: p < 0.28

α: 0.05

To study the population proportion you have to use the approximation of the standard normal $Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }$ ≈N(0;1)

$Z_{H_0}= \frac{0.26-0.28}{\sqrt{\frac{0.28*0.72}{341} } }= -0.82$

This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:

P(Z≤-0.82)= 0.206

Using the p-value approach:

If p-value ≤ α, reject the null hypothesis

If p-value > α, don't reject the null hypothesis

The decision is to not reject the null hypothesis.

Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.

I hope this helps!

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3 years ago

The graph of y = x³ + x² - 6x is shown. a) Estimate the x-coordinates of the turning points of the graph. X= Note: Please use a

KIM [24]

Answer:

Below.

Step-by-step explanation:

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(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.

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2 years ago

Matt had a full jar of marbles. He gave Kayla 34 of the marbles. Then Kayla returned 13 of a jar's worth of marbles to the jar.

azamat

12/0 is the answer to your question

5 0

3 years ago

If 4 sec a _ 5 = 0, evaluate 2 cos a + 5 sin a ÷ 2 sin a + 5 cos a​

If 4 sec a _ 5 = 0, evaluate 2 cos a + 5 sin a ÷ 2 sin a + 5 cos a