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snow_tiger [21]
3 years ago
8

Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

sin (theta) = \frac{\sqrt{15} }{8}

cos (theta) = \frac{7}{8}

tan (theta) = \frac{\sqrt{15} }{7}

cot (theta) = 7 square root 15/15

sec (theta) = \frac{8}{7}

csc (theta) = 8 square root 15/15

Step-by-step explanation:

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The angles of elevation to an airplane from two points A and B on level ground are 58° and 76°, respectively. The points A and B
statuscvo [17]

Answer:

90

Step-by-step explanation:

45x2=90

6 0
3 years ago
Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)
Pani-rosa [81]

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

3 0
3 years ago
Kerille is reading a book at the rate of 4.5 pages per minute. What ordered pair on a graph of his reading rate would represent
viva [34]
This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.

So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x    or x = 90/4.5  and x = 20 minutes
So the ordered pair will be (20,90)



5 0
4 years ago
What is the area of this parallelogram?<br><br> 44 cm²<br><br> 55 cm²<br><br> 99 cm²<br><br> 220 cm²
Art [367]
Here, we can split this parallelogram into two triangles and one rectangle. The triangles are equal to each other so we can just find the area of the rectangle and the are of <span>one triangle. 

</span>Triangle area formula: a= \frac{1}{2} bh, where a = area, b=base, and h=height.

Plug in 5 for b and 11 for h:

\frac{1}{2}*11*5 =  \frac{55}{2}
<span>Multiply by 2!
</span>\frac{55}{2} *2=55

Rectangle area formula: a=bh, where a = area, b = base, and h = height.

Plug in 4 for b and 11 for h.

a = 4 x 11
a = 44

44+55 = 99

Area is 99 cm<span>².</span>
7 0
3 years ago
Read 2 more answers
Write the expression in standard form<br><br> 1/5(5x−10)−3
maxonik [38]

Answer:

x-5

Step-by-step explanation:

1/5(5x-10)-3

5/5x-10/5-3

x-2-3

x-5

4 0
3 years ago
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