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3 years ago

Find the value of Cot(450°+theta)

1 answer:

6 0

$cot(450\° + \theta) = \frac{1}{tan(450\° + \theta)}$
$cot(450\° + \theta) = \frac{cos(450\° + \theta)}{sin(450\° + \theta)}$

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What are the coordinates of the endpoints of the mid segment of triangle ABC that is parallel to line AB?

MrMuchimi

Answer:

$(4.5,4)$ and $(4.5,6.5)$

Step-by-step explanation:

we have the coordinates

A(2,7),B(2,2),C(7,6)

we know that

The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC

The formula to calculate the midpoint between two points is equal to

$(\frac{x1+x2}{2},\frac{y1+y2}{2})$

step 1

Find the mid point AC

we have

A(2,7),C(7,6)

substitute in the formula

$(\frac{2+7}{2},\frac{7+6}{2})$

$(4.5,6.5)$

step 2

Find the mid point BC

we have

B(2,2),C(7,6)

substitute in the formula

$(\frac{2+7}{2},\frac{2+6}{2})$

$(4.5,4)$

therefore

The endpoints of the mid segment of triangle ABC that is parallel to line AB are $(4.5,4)$ and $(4.5,6.5)$

8 0

3 years ago

What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2

andre [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

Help me check my answer!

astra-53 [7]

Step-by-step explanation:

ah, here you go.

come on, now. you know this now ...

again, mutually exclusive attributes in the table (no overlap here) allow us to add the numbers for a total :

4+2+12+10 = 28 students in total.

how many of those 28 fulfill our desired criteria (has a brother) ?

well, it is the sum of the column "has a brother", as it does not matter, if there is also a sister or not.

so, it is 4 + 12 = 16

therefore, the probability to pick a student randomly, who has a brother is

16/28 = 4/7 = 0.571428571...

5 0

2 years ago

Three eighths of the students in a class of 32 students are boys. How many students are boys?

nata0808 [166]

12 because 1/8 is 4 4x3= 12

4 0

3 years ago

Read 2 more answers

A(x, 1), B(5,3) and C(4,-3) are the vertices of triangle ABC. If AB=AC, find the value of x

Molodets [167]

$\\ \rm\longmapsto AB=AC$

$\\ \rm\longmapsto \sqrt{(x-5)^2+(1-5)^2}=\sqrt{(x-4)^2+(1+3)^2}$

$\\ \rm\longmapsto (x-5)^2+(-2)^2=(x-4)^2+4^2$

$\\ \rm\longmapsto (x-5)^2+4=(x-4)^2+16$

$\\ \rm\longmapsto (x-5)^2-(x-4)^2=16-4=12$

$\\ \rm\longmapsto x^2-10x+25-x^2+8x-16=12$

$\\ \rm\longmapsto -2x+9=12$

$\\ \rm\longmapsto -2x=12-9=3$

$\\ \rm\longmapsto x=\dfrac{3}{-2}=-1.5$

5 0

3 years ago

Read 2 more answers