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3 years ago

Will give brainlist!

Mathematics

1 answer:

Ainat [17]3 years ago

4 0

A segment bisector is a geometric figure that divides the line segment exactly in half.

Vertical angles theorem states that vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent.

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The owner of a hotel is installing a patio around three sides of her pool as shown. 2p2 + 4p - 6 patio p2 - 3p + 2 3p 5 pool Whi

madreJ [45]

Answer:

-The expression representing the area of the patio has four terms.

-The expression representing the area of the patio is cubic.

-The expression representing the area of the patio has a constant term.

wrong answer:

The expression representing the area of the patio is a trinomial.

7 0

3 years ago

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

Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br> x = ___

Rzqust [24]

Answer:

Step-by-step explanation:

please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

your question is very important and you are not gonna get the right answer

7 0

3 years ago

The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount

Sloan [31]

Answer:

20%

Step-by-step explanation:

You do 3 divided by 15 which is 0.2, or 20 percent.

5 0

3 years ago

60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?

Fynjy0 [20]

Answer:

3/5

Step-by-step explanation:

60/100 can be reduced down to 6/10 by dividing by 10, and then you can simplify even more by dividing 6/10 by 2, which leaves you with 3/5.

I hope this helps :)

3 0

3 years ago

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