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dimulka [17.4K]
3 years ago
9

Trigonometry Reference Angles and Triangles Find the exact value of sin 135*

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

sqrt(2)/2

Step-by-step explanation:

Sin(135) = sin(180-135) = sin(45)

= 1/sqrt(2) or sqrt(2)/2

sqrt: square root

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Please help me.........
marishachu [46]

Answer:

126 square feet

Step-by-step explanation:

The formula for the area of a triangle is ...

A = (1/2)bh . . . . . where b is the base length and h is the height

Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...

A = (1/2)(6 ft)(14 ft) = 42 ft^2

The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...

LA = 3·(42 ft^2) = 126 ft^2

6 0
4 years ago
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as
Gwar [14]
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

7 0
3 years ago
Which number is closest in value to the slope of line /?
Alla [95]

Answer:

What's the picture?

If you provide the picture of the graph I can help

4 0
3 years ago
(12 points and brainliest!) A group of armed forces personnel were surveyed. The branch of service was recorded in the chart bel
Rzqust [24]

Answer:

43.2 degrees

Step-by-step explanation:

1. First, find the total number of people who were surveyed.

165+135+60+130+10=500

2. Next, figure out how many the Marine Corps is out of those 500 people.

60/500= 0.12 =12%

3. Last, find out what degree the 12% would take up.

We know that a circle is 360 degrees. To find 12% of 360 degrees, you will do:

0.12*360=43.2

So, the answer is 43.2 degrees

5 0
3 years ago
The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of a bridge is 1270 ft long and
deff fn [24]

Answer:

Step-by-step explanation:

Given

span of bridge L=1270\ ft

height of span h=157\ ft

Equation of Parabola

y=0.00039x^2

|x| i.e.

-635

\frac{dy}{dx}=2\times 0.00039

length of Arc=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}

=\int_{-635}^{635}\sqrt{1+(\frac{dy}{dx})^2}

=\int_{-635}^{635}\sqrt{1+(0.00078x)^2}

=2\times \int_{0}^{635}\sqrt{1+(0.00078x)^2}

=2\times (660.08)

=1320.16\ ft

4 0
3 years ago
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