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2 years ago

Please help asap, The area of the living room is: A. 20 m² B. 25 m² C. 15 m² D. 9 m²

Mathematics

2 answers:

Inga [223]2 years ago

7 0

Answer:

All these rooms are rectangles so to find the

area of the rooms multiply length by width.

Living Room: 5x4 = 20 m^2

zheka24 [161]2 years ago

3 0

Answer:

A: 20m^2

Step-by-step explanation:

a= lw

a= 4(5)

a=20

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Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

$\cos (u)=-\dfrac{24}{25}$

Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

6 0

2 years ago

How to expand (50 + b)5

Elina [12.6K]

(50+ b)5
= 5* (50+ b) (commutative property)
= 5* 50+ 5* b (distributive property)
= 250+ 5b
= 5b+ 250

The final answer is 5b+ 250.

Hope it helps.

3 0

3 years ago

A basket ball team played six games. In those games, the team won by 8 points, lost by 10, won by 7, won by 10, lost by 3, and w

sergiy2304 [10]

Answer: 3

Step-by-step explanation:

Mean simply means average. To calculate mean,we add together all the numbers given and divide them by the amount of numbers.

The Mean here will be:

= [8 +(-10) + 7 + 10 + (-3) + 6]/6

=18/6

= 3

The mean is 3

6 0

2 years ago

How would u do this and can u explain

Amanda [17]

M=2-(-6)/(-1)-(-2)=8
Y=8x+b
-6=8*(-2)+b
-6=-16+b
B=16-6=10
Y=8x+10

I hope my answer is help to you

4 0

2 years ago

Help please this has to be done today for me to get a 100

sukhopar [10]

Answer:

135/4

Step-by-step explanation:

That's 45 divided by 4/3, which is 45 times 3/4, which is 135/4

6 0

2 years ago