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MrMuchimi
3 years ago
13

Prove that the equation is an identity. tan A tan B = tan A + tan B cot A + cot B Working from the right-hand side, use the trig

onometric identities for tangent and cotangent. RHS = tan A + tan B cot A + cot B
Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

Stedadasadjdjsjxjnakcp-by-step explanation:bdbdnxhsjd xhdvsh

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PLAYSTOP6The volume of the solid iscubic feet. Use the formula V = Bh. All angles are 90°.9 ft.6 ft.ft.3 ft.2 ft.2ft.
ira [324]

Volumen of A Solid

Given a solid with a shape of a constant base B and height H, the volume is:

V = BH

The height of the solid is 1 1/4 ft. We need to calculate the area of the base.

The base consists of a larger rectangle from which has been taken a smaller rectangle.

The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:

A1 = 9 ft * 6 ft = 54 square ft

The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.

The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).

The area of the smaller rectangle is:

A2 = 2 1/2 * 4

The mixed fraction 2 1/2 is converted to improper fraction:

2 1/2 = 2 + 1/2 = 5/2

Thus, the area is:

A2 = 5/2 * 4

A2 = 10 square feet

The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet

B = 44 square feet.

Now for the volume:

V = 44 square feet * 1 1/4 feet

Again the mixed fraction is converted to a single fraction:

1 1/4 = 1 + 1/4 = 5/4

V = 44 square feet * 5/4 feet

V = 55 cubic feet

3 0
1 year ago
Find the equation in terms of x of the line through the points (-4,-4) and (5,-5)
zhuklara [117]

Answer:

The answer to your question is:  y = -1/9 x - 40/9

Step-by-step explanation:

Data

A (-4 , -4)

B (5, -5)

Formula

m = (y2 - y1) / (x2 - x1)

y = mx + b

(y - y1) = m(x - x1=

Process

m = (-5 + 4) / (5 + 4)

m = -1 / 9

( y +4) = -1/9 (x + 4)

y + 4 = -1/9 x - 4/9

y = -1/9 x - 4/9 - 4

y = -1/9 x - 4/9 - 36/9

y = -1/9 x - 40/9

5 0
3 years ago
Find the area of each figure s<br> (10 Points)<br> 12 mi<br> 1<br> 8 mi<br> 18 mi<br> 5 mi
Ksenya-84 [330]
I think it is 135 mi to the 2 power
6 0
3 years ago
Which of the following is equivalent to 60 Superscript one-half?
vitfil [10]

Answer:c

Step-by-step explanation:

The Answer is C.

4 0
3 years ago
A sporting goods sold 2.5 times as many football as basketball last year drag footballs to represent the number of football sold
arlik [135]

Answer:

<em>5 footballs were sold for every 2 basketballs sold.</em>

Step-by-step explanation:

2.5 times as many football as basketball was sold last year

This can be represented as

1 basket ball sold = 2.5 footballs sold

for every 2 basketball sold, number of football sold = 2.5 x 2 = <em>5 footballs</em>

4 0
3 years ago
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