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4 years ago

TanA+tanB=sin(A+B)/cosAcosB

1 answer:

4 0

Do you need to prove that it is equal?
If so:

SinA/cosA + sinB/cosB = (sinAcosB + sinBcosA)/cosAcosB

(SinAcosB + sinBcosA)/cosAcosB = (SinAcosB + sinBcosA)/cosAcosB

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How many 4 person committees are possible from a group of 12?

larisa86 [58]

This is a combination question
Hope this helps

6 0

3 years ago

When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th

Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

$\tan\theta =\frac{perpendicular}{base}$

In triangle ABC,

$\tan(\angle C)=\frac{AB}{BC}$

$\tan(32^{\circ})=\frac{x}{110}$

Multiply both sides by 110.

$110\tan(32^{\circ})=x$

$68.73562871=x$

$x\approx 68.74$

Therefore the height of Sandy is 68.74 inches.

8 0

3 years ago

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65.

Vesnalui [34]

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

$s=93\log d+65$

Compute the value of <em>d</em> for <em>s</em> = 280 as follows:

$s=93\log d+65$

$280=93\log d+65$

$93\log d=280-65\\93\log d=215$

$\log d=2.312\\$

$d=10^{2.312}\\d=205.035\\d\approx 205$

Thus, the distance the tornado traveled was approximately 205 miles.

7 0

3 years ago

Need help ASAP! i will give brainliest :)

emmasim [6.3K]

Answer:

96 cm^2

Step-by-step explanation:

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))

7 0

3 years ago

Read 2 more answers

Determine whether the figure has point symmetry, line symmetry, both or neither

telo118 [61]

Answer:

Line symmetry

Step-by-step explanation:

If you drew a straight line across the figure horizontally, you would see that both halves are symmetrical.

7 0

3 years ago