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3 years ago

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Mathematics

1 answer:

OlgaM077 [116]3 years ago

4 0

The answer is 6.7 :)

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Please help.....................................................................................................................

marta [7]

Answer:

5/13

Step-by-step explanation:

8 0

3 years ago

Cos(x+y)/cosxcosy+tanxtany=1

adelina 88 [10]

Answer:

See explanation

Step-by-step explanation:

Use formula

$\cos (x+y)=\cos x\cos y-\sin x\sin y$

Substitute it into the first fraction:

$\dfrac{\cos (x+y)}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y-\sin x\sin y}{\cos x\cos y}\\ \\=\dfrac{\cos x\cos y}{\cos x\cos y}-\dfrac{\sin x\sin y}{\cos x\cos y}\\ \\=1-\dfrac{\sin x}{\cos x}\cdot \dfrac{\sin y}{\cos y}\\ \\=1-\tan x\tany$

Consider the whole expression:

$\dfrac{\cos (x+y)}{\cos x\cos y}+\tan x\tan y\\ \\=1-\tan x \tan y+\tan x\tan y\\ \\=1$

Done!

6 0

3 years ago

A pole that is 3m tall casts a shadow that is 1.22m long. At the same time, a nearby building casts a shadow that is 38.5m long.

vichka [17]

Refer to the diagram shown below.

The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).

The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore
$\frac{DE}{BC} = \frac{AD}{AB} \\\\ \frac{h}{3} = \frac{38.5}{1.22}$

Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m

Answer: 141 m (nearest meter)

5 0

4 years ago

Read 2 more answers

Can you help me solve for z<br><br><br> Please shower work so I can understand

valentina_108 [34]

Answer:

z=(x-1)/2

Step-by-step explanation:

this is the correct answer

please mark me as brainlist

5 0

4 years ago

Can someone help me, please!

Elodia [21]

Rectangles:
2 x 3 = 6 sq in.
2 x 4 = 8 sq in.
2 x 6 = 12 sq in.
Triangles: (since there are 2 you don't need to do 1/2 x base x height)
3 x 4 = 12 sq in.

Now add 6+8+12+12 = 38 sq in.

5 0

3 years ago