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2 years ago

Cos (theta) = square of 2 / 2, and 3pi/2 < theta < 2pi, evaluate sin (theta) and tan (theta)

Mathematics

1 answer:

lora16 [44]2 years ago

7 0

Answer: negative square root of two over 2 and tan theta is -1

Step-by-step explanation:

Did it on edge and got it right

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Hannah buys 2/3 pound of roast beef. She uses 1/4 pound to make sandwiches for lunch. How much roast beef does she have left?

Vanyuwa [196]

First we need to make both fractions equal to each other, and that means having to have the denominators the same.

What both 3 and 12 easily go into is 12.

So we need to make both fractions have a denominator of 12, so we multiply.

2/3 * 4/4 = 8 / 12

1/4 * 3/3 = 3 / 12

Now, we know that she has 8 / 12 pounds, and she uses 3 / 12 of it, so now we subtract to find how much she has left.

8 - 3 = 5

Out of the 12 pounds of roast beef, she now has 5 / 12 left.

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2 years ago

Read 2 more answers

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

$\dfrac{AD}{BD} = \dfrac{AE}{EC}$

Therefore;

$BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) } = AD \times \dfrac{EC}{AE}$

Which gives;

$BD = 6 \times \dfrac{18}{12}= 9$

Similarly, given that EF is parallel to AB, we get;

$\dfrac{AE}{EC} = \dfrac{BF}{FC}$

Therefore;

$BF = FC \times \dfrac{AE}{EC}$

Which gives;

$BF = 24 \times \dfrac{12}{18} = 16$

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

8 0

2 years ago

If it takes 1 person 2/3 of a minute to prepare a bag how long would it take 4 peiple to prepare a bag?

Anna11 [10]

Answer:

1/6 of a minute.

Step-by-step explanation:

4 0

2 years ago

Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)

sladkih [1.3K]

Answer:

The equation of the line passing through the given points is:

$y=-\frac{8}{3}x-11$

Step-by-step explanation:

Given:

The two points are: $(x_1,y_1)=(-6,5)\textrm{ and }(x_2,y_2)=(-3,-3)$

The equation of a line when two points are given is:

$y-y_1=\left (\frac{y_2-y_1}{x_2-x_1} \right )(x-x_1)$

Plug in all the values and simplify.

$y-5=\left (\frac{-3-5}{-3-(-6)} \right )(x-(-6))\\y-5=\left (\frac{-8}{-3+6} \right )(x+6)\\y-5=\left (\frac{-8}{3} \right )(x+6)\\y-5=\frac{-8}{3}x-16\\y=\frac{-8}{3}x-16+5\\\\y=-\frac{8}{3}x-11$

Therefore, the equation of the line passing through the above points is

$y=-\frac{8}{3}x-11$

7 0

2 years ago

How do i graph and shade this linear inequality?<br><br> 4x + 5y < 20<br> x - 2y <6

andrew-mc [135]

You change the equation into "graphable" equations
y<-4/5x+4
y>1/2x-3

8 0

2 years ago

Read 2 more answers

Cos (theta) = square of 2 / 2, and 3*pi/2 < theta < 2*pi, evaluate sin (theta) and tan (theta)

Cos (theta) = square of 2 / 2, and 3pi/2 < theta < 2pi, evaluate sin (theta) and tan (theta)