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2 years ago

Trigonometry, can anybody help??

Mathematics

1 answer:

WINSTONCH [101]2 years ago

5 0

Answer:

angle B: 39

AC: 7.288

AB: 11.58

(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)

Step-by-step explanation:

To solve this we will use SOH, CAH, TOA

we have the angle and the one opposite to it which means we can use either SOH or TOA

let's use TOA

tan(51)=(9/x)

x= 7.288

We can now use pahtagaryous theroem to solve for the hyptonouse

we have

9²+7.288²=C²

C=11.58

Finally, to find angle B we will recall that the angles of a triangle must add to 180.

51+90+a=180

a=39

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Please help asap!!!!!!!!!!!

mars1129 [50]

X = 59, y = 44

2x + 18 + x - 15 = 180
3x + 3 = 180
3x = 177
x = 59

x - 15 = y
59 - 15 = y
44 = y

6 0

2 years ago

Read 2 more answers

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary

AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

$S_{n}=\frac{a(1-r^{n})}{1-r}$ , where

a is the first term
r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = $\frac{-5}{6}$

∵ $\frac{25}{6}$ ÷ -5 = $\frac{-5}{6}$

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is $\frac{-5}{6}$

∴ r = $\frac{-5}{6}$

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ $S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}$

∴ $S_{8}=2.511595508$

- Round it to the nearest hundredth

∴ $S_{8}=2.51$

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

3 years ago

AB is tangent to circle D. Find the value of x.

Svet_ta [14]

Answer:

c 15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

6 0

3 years ago

Sea level = 0

FromTheMoon [43]

Answer:

c. -70

Step-by-step explanation:

subtract 50 from 120 you get 70, and since we are below sea level it is negative

7 0

3 years ago

Find the equation for the parabola that passes through the point (-2,-4), with vertex at (3,1) and a vertical axis

Igoryamba

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1), hence

y = a(x - 3)² + 1

To find a substitute (- 2, - 4) into the equation

- 4 = a(- 2 - 3)² + 1

- 4 = 25a + 1 ( subtract 1 from both sides )

25a = - 5 ( divide both sides by 25 )

a = - $\frac{5}{25}$ = - $\frac{1}{5}$

y = - $\frac{1}{5}$ (x - 3)² + 1 ← in vertex form

7 0

3 years ago