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3 years ago

I need help ASAP Please- show me how to work this problem

Mathematics

1 answer:

madam [21]3 years ago

7 0

9514 1404 393

Answer:

70° (number in the blank at the bottom)

Step-by-step explanation:

You need to know the meaning of "complement of an angle."

Complementary angles have a sum of 90°. So, the complement of 20° is the angle that makes the total 90°. It is 70°.

The line at the bottom of the figure tells you how to work the problem. It says "the cosine of an angle is the sine of its complement." If you put numbers in this statement, it tells you ...

the cosine of 20° is the sine of 70°

So, the answer to the question at the top of the page is ...

look up the value of sin(70°) in the table

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20% of the rose Annette picked from a rose garden were red if she picked 10 red roses how many roses did she pick from the garde

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Answer:

Option A

Annette picked 50 roses from the garden

Step-by-step explanation:

Let us understand the problem, designating letters to represent unknown quantities.

Let the total number of roses = x

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Since the number of red roses = 10,

we will have that 20% of x = 10

mathematically, we will have

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3 years ago

Find cos(2*ABC) 100POINTS

juin [17]

Answer:

$-\dfrac{7}{25}$

Step-by-step explanation:

<u>Trigonometric Identities</u>

$\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B$

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

$\cos(\angle ABC)=\dfrac{3}{5}$

$\sin(\angle ABC)=\dfrac{4}{5}$

Therefore, using the trig identities and ratios:

$\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}$

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2 years ago

Read 2 more answers

CALCULAR O PERÍMETRO DE UM RETANGULO, SABENDO-SE QUE SUA BASE E ALTURA DIFEREM 12 M E QUE ESTA É 1/3 DAQUELA

Ostrovityanka [42]

perimeter =48

18+18+6+6=48

x-12=x/3

Multiply both sides by 3

3x-36=x

3x=x+36

2x=36

x=18

18-12=18/3

6=6

One side 18 another side 6

7 0

3 years ago

I need help ASAP Please- show me how to work this problem ​

I need help ASAP Please- show me how to work this problem