MATHEMATICS MIDDLE SCHOOL

If the terminal ray of β lies in the fourth quadrant and sin (β) = -√3/3 determine cos(β) in simplest form.

Answers

Answer 1

Answer:

Answer:

$cos(\beta)=(√(6))/(3)}$

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

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

we have

$sin(\beta)=-(√(3))/(3)$

substitute

$(-(√(3))/(3))^2+cos^2(\beta)=1$

$(3)/(9)+cos^2(\beta)=1$

$cos^2(\beta)=1-(3)/(9)$

$cos^2(\beta)=(6)/(9)$

apply root square both sides

$cos(\beta)=(√(6))/(3)}$

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Ava is 23 cm Taller than olivia, and olivia is half the height of lucas. if Lukas is 1.78 meters tall how tall are ava and Olivia? Express there heights in cm.

Answers

1.12 meters, which is 112 centimeters :)

I need the answer to all of these with work shown. Thanks!!

Answers

This is for question 3a.

What is (√2) + 2?
(No decimals.)

Answers

( square root 2) + 2

= 2+ square root 2

I hope that's help ! If you have questions please just let me know

Teacher:Find the Slope and Y-interce
1)
x + 4y = 32
slope =
y-intercept =

Answers

Answer:

Slope = -1/4

y-intercept = 8

Step-by-step explanation:

Given a line equation, x + 4y = 32

To get the slope and y-intercept from this equation, we shall represent it in the slope form of a line equation

The slope form of a line equation is given as

y = mx + c

Where;

m = slope

c = y-intercept

Step 1

x + 4y = 32

Subtract x from both sides of the equation

x + 4y - x = -x + 32

4y = -x + 32

Step 2

Divide both sides by 4 to make y subject

4y/4 = -x/4 + 32/4

y = -x/4 + 8

y = (-1/4)x + 8

This equation corresponds to

y = mx + c

m = -1/4

c = 8

Therefore, the slope, m = -1/4

The y-intercept, c = 8

Slope m= -1/4
Intercept c=8

What is 1, 427 round to the nearest hundred?

Answers

1,400 is 1,427 rounded to the nearest hundred because everything in front of what you have to round to stays the same and the number next to 4 is a 2 so you let it rest and stay a 4 and everything after that becomes a 0

1400
Have you learned in class how to round yet?

Will give branist if done correctly..it would really help me out.. Thank you in advance!Instructions:

Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.

Complete the following. Show all work for calculations.

1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

2. Describe the shape of the cross section when the box is cut parallel to the base.

3. What is the surface area of the box?

4. What is the surface area of the box if it is scaled up by a factor of 10?

5. What is the volume of the box?

6. What is the volume of the box if it is scaled down by a factor of $1/10$?

________________________________________

Answers

Answer:

I think that this question is too complex for you to be asking on brainly.

Step-by-step explanation:

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