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lozanna [386]
3 years ago
11

Pls help It due asap

Mathematics
2 answers:
belka [17]3 years ago
4 0

Answer:

D. (2,0)

Step-by-step explanation:

The x coordinates are 1 and 3. The number in the middle of them is 2.

The y coordinates are -2 and 2. The number in the middle of them is 0.

so you get (2,0)

harkovskaia [24]3 years ago
3 0
The equation for midpoint is

((x1+x2)/2 , (y1+y2)/2) = ((1+3)/2 , (-2+2)/2)
= ( 2,0)
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What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

\sin ^{2} x+\cos ^{2} x=1

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

\cos x=\frac{1}{\sec x}

On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
2 years ago
The rectangle is three times its width.
Airida [17]

Answer:

Length= 30 in

Width= 10 in

Step-by-step explanation:

Let the width of the rectangle be x in.

Length of rectangle

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= 3x

Perimeter of rectangle= 2(length) +2(width)

80= 2(3x) +2(x)

80= 6x +2x

8x= 80 <em>(</em><em>simplify</em><em>)</em>

x= 80 ÷8 <em>(</em><em>÷</em><em>8</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

x= 10

Thus width of rectangle= 10 in

Length of rectangle

= 3(10)

= 30 in

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2 years ago
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3 0
3 years ago
Paint is sold in a cylindrical container with a radius of 4 inches and a height of 10 inches. If the paint costs $0.05 per cubic
galina1969 [7]

Answer:

A

Step-by-step explanation:

A

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3 years ago
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madreJ [45]

Answer:

$10,100 000,000.006 but it says round to the dollar so it is $10,100 000,000

Step-by-step explanation:

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