Help in these two! See these questions below.

Answer:

Find sin 2x, knowing tan x = -2, and cos x > 0

Ans:

sin

2

x

=

4

5

Explanation:

3 Trig identities to be used:

1

+

tan

2

x

=

1

cos

2

x

(1)

sin

2

x

+

cos

2

x

=

1

(2)

sin

2

x

=

2

sin

x

.

cos

x

(3)

Given tan x = -2. First find cos x and sin x

(1) -->

1

+

4

=

1

cos

2

x

-->

cos

2

x

=

1

5

-->

cos

x

=

±

1

√

5

.

Since cos x > 0, then

cos

x

=

1

√

5

.

(2) -->

sin

2

x

=

1

−

cos

2

x

=

1

−

1

5

=

4

5

-->

sin

x

=

±

2

√

5

.

Since cos x > 0 then

sin

x

=

2

√

5

.

(3) -->

sin

2

x

=

2

sin

x

.

cos

x

=

2

(

1

√

5

)

(

2

√

5

)

=

4

5

Answer link

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

Answer:

JUst find the middle and fold it in half

ain't no equations needed.

Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry.

Answer:

x = 58 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation  = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x = 58 degrees ( to the nearest degree)

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

Answer:

y=x-1

Step-by-step explanation:

Answer: c.) t = 7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge 2021

Answer:

139°

Step-by-step explanation:

FG must equal 16. We have to assum DG is a straight line.

2x+90+74+82+16=360

2x=98

x=49 (DAC and CAB)

90+49=139

Answer:

The answer is -7, -9, -4, 2, -4, 3, -3, -10, -0

Step-by-step explanation:

If you see them in the number line, the integers on the left are negative and the integers on the right is positive. Therefore, negative numbers are inverses of positive numbers. For example, 1 is the inverse of -1.

Answer:

Radius = 5.996958 (They probably just want “6”).

Step-by-step explanation:

9.42x4=37.68 (perimeter)

Perimeter=2[tex]\pi[/tex]r

37.68÷2[tex]\pi[/tex]=r

5.996958=r

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

Answer:

104

Step-by-step explanation:

Hey There!

So essentially what this problem is asking us to do is solve for the missing angle in a triangle

Remember all of the angles in a triangle will add up to 180

so to find the missing angle we subtract the given angles (38 and 38) from 180

180-38-38=104

so we can conclude that angle A equals 104

Hope this helps!

Answer:

104 degrees

Step-by-step explanation:

Hope this helps!

Have a great day!

Answer:

a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385

The point estimate for the mean used is the sample mean

b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N

c. The point estimate of the population variance is approximately 2.8577

The point estimate for the population standard deviation is approximately 1.6905

d. The standard error of the mean is approximately 0.3315

e. The point estimate of a proportion of the connectors are;

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385),  (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

Step-by-step explanation:

The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;

Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;

[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]

[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6

n = The sample size = 26

Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385

The point estimate for the mean is approximately 75.7385

The sample mean was used as the point estimate for the mean because it is simple and representative of the sample

b. The weakest 50% of the connectors are;

72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3

The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex]  = 966.2

The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N

c. The estimate of the population variance is the sample variance, given as follows;

[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]

Where;

[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415

Therefore;

[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]

The point estimate of the population variance, s², is 2.8577

The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;

s = √s² = √2.8577 ≈ 1.6905

The point estimate for the population standard deviation ≈ 1.6905

d. The standard error of the mean is given as follows;

[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]

Therefore, we have;

[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315

The standard error indicates the likely hood of the difference between the sample mean and the population mean

e. The point estimate of a proportion of the connectors are;

(Number of sample with a given pull-force value)/(Sample size (26))

Therefore, using Microsoft Excel, we have

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385),  (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

Answer:

x+2 y-1

Step-by-step explanation:

this would be moving 2 over on x and subtracting down one on the y and a shrink

Answer:

3/4

Step-by-step explanation:

Hope this helps! :)

Answer:

6/5

Step-by-step explanation:

to find the number of 5/6 's in 1 , divide 1 by by 5/6 . when dividing by a fraction , rewrite it as multiplying by the reciprocal

Answer:

Step-by-step explanation:

2.719 I don really know tho

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan

Answer:

$8.26

Step-by-step explanation:

$48.75= Total

$1.50= Coupon discount

5= Number of Sets bought by Mrs. James

*$48.75-($1.50*5)= $41.28*

41.28= Total after Coupon discount is removed

5= Number of Sets bought by Mrs. James

$41.28/5= $8.256

Round answer to show dollar value

Final Answer

$8.26

The amount of money in the account at the end of the period would be $1345.58.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.

We can write the compound interest as -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

A = 480(1 + 0.15/4)^(4 x 1)

A = 480 + 865.58

A = 1345.58

Therefore, the amount of money in the account at the end of the period would be $1345.58.

To solve more questions on compound interest, visit the link -

brainly.com/question/30098550

#SPJ1

Answer:

16 tomatoes

Step-by-step explanation:

50+3t=98

3t=48

t=16

Answer:

I think answer is B

B.10x+150=180

Answer:

x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy

Step-by-step explanation:

ihope makaktulong

if wrong correct me

Answer:

15 ways

Step-by-step explanation:

3 sizes x 5 flavors = 15 combinations

Answer:

15

Step-by-step explanation:

if you can make 3 sizes for each flavor and there are 5 flavors then there are 15 ways to get a milkshake 3x5=15

Answer:

$0.20

Step-by-step explanation:

if you divide 2.40 by 12 you get 0.20, which is the answer

Answer:

16) 9ft, C

17) 1440 cm^3, D

18) 314 m^2, B

Step-by-step explanation:

16) 18 / 6 = 27 / x

18x = 162

x = 9 (C)

17) 24 / 1,920 = 18 / x

24x = 34,560

x = 1440 (D)

18) Surface Area of a sphere = 4 * pi * radius^2 (4r^2)

SA = 4pi(5)^2

SA = 4pi25

SA = 100pi

SA = 100(~3.14)

SA = 314 (B)

Answer: (-4 ,4)

Step-by-step explanation:

Answer:

m = 3/4

Step-by-step explanation:

That's the correct answer for you :)