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2 years ago

WHAT DOES THIS MEAN I DONT UNDERSTAND

Mathematics

1 answer:

Art [367]2 years ago

3 0

Answer:

the goal is to try and get x alone. For the 1st problem, x=3.

Step-by-step explanation:

3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9

3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3

x = 3 Now x is alone, which means x = 3.

This is right because if you plug x with 3, the sum = 10.

(3*3) + 1 =10

9 + 1 = 10

So, that's how you know 3 is the right answer.

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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

If x^2 - 16 > 0, which of the following must be true?

zimovet [89]

The left hand side of the equation is a difference of two squares and may be factored out as follows,
(x - 4)(x + 4) > 0
They may be individually taken as,
x - 4 > 0 ; x > 4
x + 4 > 0 ; x < -4
Thus, the answer to this item is letter A.

5 0

2 years ago

Which pattern was created using only the translation of pentagon A?

Makovka662 [10]

Translation means only sliding it around, no rotation is allowed. So it’s the first one.

8 0

2 years ago

Special right triangles, find x and y

egoroff_w [7]

Answer:

The answer to your question is x = 17.32; y = 8.67

Step-by-step explanation:

Process

1.- Use trigonometric functions to find x and y

a) sin Ф = $\frac{opposite side}{hypotenuse}$

Ф = 60°

opposite side = 15

hypotenuse = ?

$hypotenuse = \frac{opposite side}{sin \alpha }$

$hypotenuse = \frac{15}{sin 60}$

$hypotenuse = \frac{15}{0.87}$

hypotenuse = 17.32

b) cosФ = $\frac{y}{hypotenuse}$

$y = hypotenuse x cos 60$

$y = 17.32 x 0.5$

y = 8.67

5 0

3 years ago

Help help help please please

Vsevolod [243]

The answer is 10 miles

3 0

2 years ago