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3 years ago

Use subtraction 8×25×23

Mathematics

2 answers:

algol133 years ago

5 0

8 times 23 three 600

bagirrra123 [75]3 years ago

4 0

8 times 25 times three is 600

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If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

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

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

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

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

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

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

Plz answer the following No scams,links or random amswers or ill report

zvonat [6]

Answer:

f(2) = 12

f(x) = 7, x = -3, 1

Step-by-step explanation:

plug in x as 2

f(x) = 2^2 + 2(2) + 4

f(x) = 4 + 4 + 4

f(x) = 12

replace f(x) with 7

7 = x^2 + 2x + 4

x^2 + 2x - 3 (move 7 to other side)

Factor

ac: -3x^2

b: 2x

split b into 3x, -x

(x^2 -x) + (3x - 3)

↓ ↓

x(x-1) + 3(x-1)

Factor: (x-1)(x+3) = 0

Solve using Zero Product Property:

x - 1 = 0, x + 3 = 0

x = 1, x = -3

3 0

2 years ago

Math amirite Math amirite Math amirite Math amirite Math amirite Math amirite Math amirite Math amirite Math amirite Math amirit

Ivahew [28]

Answer:

math amirite is amirite

Step-by-step explanation:

math amirite

6 0

2 years ago

3x+6y=36 and -3x-6y=0

Anastasy [175]

Answer:

No solution

Step-by-step explanation:

3x + 6y =36

-3x - 6y =0

------------------add

0 ≠ 36

No solution

4 0

3 years ago

Carlos has received a 9% salary increase. If he now earns $654 per week, what was his salary before the increase.?

babunello [35]

So let's say he was earring x before his raise. That means that:
x times 1.09 = 654 (1.09 represents 100% (this is the 1.0) of his original salary plus 9% (this is the .09) his raise.
So,
1.09x = 654; now divide both sides by 1.09 to isolate and solve for x, and you get x = $600.

6 0

3 years ago