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3 years ago

A brother is 3 years older than his sister. Five years ago, the ratio of their ages was 4 : 3. Find the boy age.

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

17 years old
12:9
12 + 5 is 17

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I need help on this it’s about trig identities

Cerrena [4.2K]

Answer:

The answer to your question is:

Step-by-step explanation:

1.-

$\frac{1 + sin\alpha }{cos\alpha } + \frac{cos\alpha }{1 + sin\alpha } = 2 sec\alpha$

$\frac{(1 + sin\alpha)^{2} + cos^{2} \alpha }{cos\alpha (1 + sin\alpha) }$

$\frac{1 + 2sin\alpha + sin^{2} \alpha+ cos^{2} \alpha }{cos\alpha + sin\alphacos\alpha }$

$\frac{2 + 2sin\alpha }{cos\alpha+ sin\alpha cos\alpha }$

$\frac{2(1 + sin\alpha) }{cos\alpha(1 + sin\alpha ) }$

$\frac{2}{cos\alpha }$

2sec $\alpha$

2.-

sec²x - tanxsecx

$\frac{1}{cos^{2}x } - \frac{sinx}{cosx} \frac{1}{cosx}$

$\frac{1}{cos^{2} x} - \frac{sinx}{cos^{2}x}$

$\frac{1 - sinx}{cos^{2}x }$

$\frac{1 - sinx}{1 - sin^{2}x }$

$\frac{1 - sinx}{(1 - sinx)(1 + sinx)}$

$\frac{1}{1 + sinx}$

3 0

3 years ago

What i 12% of 32? is 32the part or the whole???

Valentin [98]

32 is the whole 12.16 is 12 percent of 32

7 0

3 years ago

Can any one help me with this problem

katrin [286]

Answer:

37.74 ft

Step-by-step explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse

Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

37.74 ft

Hopefully this helps :)

3 0

3 years ago

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mrs_skeptik [129]

Answer:

5 1/3 gallons

Step-by-step explanation:

Equation: 8 1/6 - 2 5/6

8-2=6

1/6-5/6= -4/6

6-4/6=5 2/6

Simplify:

5 1/3 gallons

7 0

3 years ago

the track at east side high school is 440 yards long it took maya 10 min to jog around the track 4 times. find her speed in mile

SashulF [63]

Her speed i think is 40 miles per hour

7 0

3 years ago

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