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2 years ago

What is the value of cos a?

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

4 0

Answer:

$\frac{7}{25}$

Step-by-step explanation:

Using SOHCAHTOA, you know that Cosine is represented with the side adjacent to the angle (7) on top of the fraction and the hypotenuse (25) on the bottom.

You might be interested in

What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through

Mkey [24]

Let's convert the equation in point-slope form to slope-intercept form.

y - 4 = -(x - 6)
Multiply everything out.
y - 4 = -x + 6
Add 4 to both sides.
y = -x + 10

To be perpendicular, the slope of the new has to be the reciprocal of the other line. To slope in this equation is -1/1. To get the reciprocal, flip the numerator and denominator and change the sign too.

-1/1 becomes 1/-1, and changes to 1/+1, or 1.

y = x + b

Input the coordinate point and solve for b.

-2 = -2 + b
Add 2 to both sides.
0 = b

y = x

4 0

3 years ago

For each explicitly-defined sequence below, write the first few terms. Then use the terms to write a recursive equation.

julia-pushkina [17]

Answer:

Step-by-step explanation:

Problem A

t(1) = 2(1) + 5

t(2) = 2*2 + 5 = 9

t(3) = 2*3 + 5 = 11

t(4) = 2*4 + 5 = 13

So this is the explicit result. Now try it recursively.

t_3 = t_2 + 2

t_3 = 9 + 2

t_3 = 11 which is just what it should do.

t_n = t_(n - 1) + 2

Problem B

t(1) = 3 * 1/2

t(1) = 3/2

t(2) = 3*(1/2)^2

t(2) = 3 * 1/4

t(2) = 3/4

t(3) = 3*(1/2)^3

t(3) = 3 * 1/8

t(3) = 3/8

t(4) = 3 (1/2)^4

t(4) = 3 (1/16)

t(4) = 3/16

So in general

t_n = t_n-1 * 1/2

For example t(5)

t_5 = t_4 * 1/2

t_5 = 3 /16 * 1/2 = 3/32

6 0

2 years ago

3.22kg subtract 250g

Katarina [22]

Answer:

might be 2970

Step-by-step explanation:

use google .

6 0

2 years ago

What is the least common multiple of 3, 6, and 7?

lbvjy [14]

3|3
1

6|2
3|3
1

7|7
1

LCM = 2*3*7 = 42

8 0

3 years ago

Read 2 more answers

A company surveyed 2500 men where 1225 of the men identified themselves as the primary grocery shopper in their household. a) E

professor190 [17]

Answer:

a) The 98% confidence interval for the population proportion of males who identify themselves as the primary grocery shopper is (0.457, 0.503).

b) The null hypothesis that the proportion is equal or less than 44% will be rejected at this level of significance.

c) The level of significance is 2%.

This is the expected probability that the sample proportion fall outside the acceptance region due to pure chance, if the null hypothesis is true.

Step-by-step explanation:

a) The conditions are:

- randomization: it is assumed to be a random sample.

- independence: the sample responses are independent of each other.

- 10% condition: we don't know the size of the population, but the sample is assumed to be less than 10% of the population.

- sample size: the sample size is bigger than 30, so it is satisfied.

We have to calculate a 98% confidence interval for the proportion.

The sample proportion is p=0.48.

$p=X/n=1225/2550=0.48$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.48*0.52}{2550}}\\\\\\ \sigma_p=\sqrt{0.0001}=0.0099$

The critical z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.326 \cdot 0.0099=0.023$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.48-0.023=0.457\\\\UL=p+z \cdot \sigma_p = 0.48+0.023=0.503$

The 98% confidence interval for the population proportion of males who identify themselves as the primary grocery shopper is (0.457, 0.503).

b) Our confidence interval tells us that there is 98% confidence that the true proportion o males who identify themselves as the primary grocery shopper is within 0.457 and 0.503.

The propotion 0.44 is outside of this interval, so if the claim is that the proportion is higher than 44%, the null hypothesis will state that the true proprotion is equal or less than 0.44.

With the information we have, at this level of significance (2%), the null hypothesis will be rejected.

c) The level of significance that corresponds to the 98% confidence interval is α=2%.

This is the expected probability that the sample proportion fall outside the acceptance region (which matches with the confidence interval) due to pure chance, if the null hypothesis is true.

5 0

3 years ago