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mihalych1998 [28]

3 years ago

6

Write an addition equation that can help you find 9-6

2 answers:

almond37 [142]3 years ago

8 0

You could also try 6+3

yarga [219]3 years ago

5 0

3+6, I believe. (I have to explain it a little better, so, 9-6=3, which means that 3+6=9)

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4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

$sin^{2}(\theta)+ cos^{2}(\theta)=1$

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

or

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

or

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

5 0

3 years ago

WILL AWARD BRAINLIEST <br><br><br> What is the value of a?

Nadya [2.5K]

Answer : C

6 2 over 3 units

7 0

3 years ago

Find The Number of Combinations<br> 9C3

tiny-mole [99]

Answer:

Step-by-step explanation:

$9C3=\frac{9*8*7}{3*2*1} =84$

4 0

3 years ago

Determine the nth term for each of the following sequences:16,15,14,13,12,..

Vladimir79 [104]

F(n) = 1st term - common difference (n - 1)

The operation is subtraction because the sequence is decreasing.

n = number of the term you are looking for
1st term = 1st number in the sequence, in this case, 16
common difference = difference between one number to the next

f(n) = 16 - 1(n-1)

Assuming we are looking for the 5th term.
f(5) = 16 - 1(5-1)
= 16 - 1(4)
= 16 - 4
= 12 * as you can see, 12 is the 5th term of the sequence.

If you are looking for the equivalent of the nth term, simply substitute n by the number you are looking for and solve the equation.

7 0

3 years ago

A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inch

mylen [45]

Answer:

Option B ⇒ Area of base of each pyramid :

$(\frac{x}{4})^2 in^2$

Option A ⇒ Volume of pyramid :

$\frac{1}{3} x^{2} \cdot y$ cm3

Step-by-step explanation:

One side of tile consists of 4 pyramids and since length of whole tile is x,

So, the base length of each pyramid = $\frac{x}{4}$

⇒ Area of base of each pyramid = side²

⇒ Area =

$(\frac{x}{4})^2 in^2$

Volume of square based pyramid :

$=(Area of base )\cdot \frac{h}{3}\\=\frac{x^2}{3} cm^3$

For 1. The correct Option is B

For 2. The correct option is A

7 0

2 years ago

Read 2 more answers