All categories

3 years ago

Solve the equation. f - 8/9 = 5/9 f = ?

Mathematics

1 answer:

Vlada [557]3 years ago

3 0

Answer:

f=13/9

Step-by-step explanation:

f-8/9=5/9

solution

f=5/9+8/9

f= 5+8/9=13/9

You might be interested in

A quadrilateral is reflected over the y-axis. Which of the following statements about the coordinates of the image are true?

padilas [110]

Only the x values change

3 0

3 years ago

Could someone please help me:) I am stick and I am not sure what to do

Delicious77 [7]

Answer:

Part 5.1.1:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin 2A = \frac{\sqrt{15}}{8}$

Part 5.1.1

Recall that:

$\displaystyle \sin^2 \theta + \cos^2 \theta = 1$

Let θ = 2A. Hence:

$\displaystyle \sin ^2 2A + \cos ^2 2A = 1$

Square the original equation:

$\displaystyle \sin^2 2A = \frac{15}{64}$

Hence:

$\displaystyle \left(\frac{15}{64}\right) + \cos ^2 2A = 1$

Subtract:

$\displaystyle \cos ^2 2A = \frac{49}{64}$

Take the square root of both sides:

$\displaystyle \cos 2A = \pm\sqrt{\frac{49}{64}}$

Since 0° ≤ 2A ≤ 90°, cos(2A) must be positive. Hence:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2

Recall that:

$\displaystyle \begin{aligned} \cos 2\theta &= \cos^2 \theta - \sin^2 \theta \\ &= 1- 2\sin^2\theta \\ &= 2\cos^2\theta - 1\end{aligned}$

We can use the third form. Substitute:

$\displaystyle \left(\frac{7}{8}\right) = 2\cos^2 A - 1$

Solve for cosine:

$\displaystyle \begin{aligned} \frac{15}{8} &= 2\cos^2 A\\ \\ \cos^2 A &= \frac{15}{16} \\ \\ \cos A& = \pm\sqrt{\frac{15}{16}} \\ \\ \Rightarrow \cos A &= \frac{\sqrt{15}}{4}\end{aligned}$

In conclusion:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

(Note that since 0° ≤ 2A ≤ 90°, 0° ≤ A ≤ 45°. Hence, cos(A) must be positive.)

4 0

3 years ago

Please help me asap it's for a grade.

vazorg [7]

Answer:

212 in²

Step-by-step explanation:

Top and bottom:

2(2 + 4)*4 = 48

Front and back:

2(4*7 + 2*10) = 96

Left and right:

10*4 + 4*7 = 68

Total surface area:

48 + 96 + 68 = 212 in²

8 0

3 years ago

Read 2 more answers

If f(x)=-8x+8 and g(x)= x-9 what is (f g)(18)

Georgia [21]

Answer:

-8x^2+8(10x)-72

When x=18

-8(18×18-(10×18)+9)

-72(36-20+1)

17×(-72)

=-1224

5 0

3 years ago

10. What is the sample space for choosing a letter from the word probability?

maw [93]

Could you give me the answer options so I could give you the correct answer?

3 0

3 years ago