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topjm [15]
3 years ago
15

A boy has as many sisters as brothers, but each sister has only half as many sisters as brothers. How many brothers and sisters

are there in the family?
Mathematics
1 answer:
Elenna [48]3 years ago
7 0
The boy would have 3 brothers and 3 sisters therefore in the family there would be 4 boys and 3 girls
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A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β? 2. A r
kirza4 [7]

Alright, lets get started.

A right triangle (triangle 1) has a hypotenuse length of 115 mm and α = 31.2°. What are the measurements for a, b, and β?

Please refer the diagram I have attached.

Using SOH CAH TOA,

sin 31.2 = \frac{b}{115}

b = 115 sin31.2

Plugging the value of sin 31.2

b = 115*0.518 = 59.57 mm

Similarly,

cos31.2 = \frac{a}{115}

a = 115cos31.2

Plugging the value of cos 31.2

a = 115*.8553 = 98.36 mm

Now, for angle β

tan β = \frac{98.36}{59.57}

tan β = 1.65

Using tan inverse

β = 58.78°

So, the answer is a = 98.36 mm, b = 59.57 mm and β = 58.78°   :   Answer

Hope it will help :)

A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Please refer the diagram I have attahced.

a and b are given, we could side c by using Pythagorean theorem.

c^2 = a^2 +b^2

c^2 = 505^2 + 286^2

c^2 = 255025+81796

c^2 = 336821

Taking square root on both sides

c = 580.36 mm

Using SOH CAH TOA,

tan α = \frac{505}{286}

taking tan inverse

α = 60.48°

Similarly,

tan β = \frac{286}{505}

taking tan inverse

β = 29.52°

So, the answer is c = 580.36 mm, α = 60.48° and β = 29.52°   :    Answer

Hope it will help :)






7 0
3 years ago
A train travels at a steady rate of 80 mph. If the train travels for one-half hour nonstop, what are the domain and range of the
alukav5142 [94]
The independent variable is time, which varies from 0 to 0.5, so domain = [0,0.5].
The distance travelled is the dependent variable, varying from 0 to (1/2)80=40 km.  The range is therefore [0,40].

Note: in interval notation, a square bracket means that the value is included in the interval.
8 0
3 years ago
A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took 14 hours. Find the speed of
katrin2010 [14]
Downstream 280mi/7 hours
(Speed =change in position/change in time)
40mi/hr
Back
280/14
20mi/hr
5 0
3 years ago
Let f(x)=x^4-3x^3+5x-3, f(-2)
BabaBlast [244]
f(-2)=(-2)^4-3(-2)^3+5(-2)-3
\\f(-2)= 16+24-10-3\\
f(-2)=30-10-3\\
f(-2)=17
8 0
2 years ago
James earned a total of $900 this week. this total was $20 less than four times the amount he earned last week. how much money d
Vladimir [108]
<span>4x – 20 = 900
4x = 900+20
4x = 920
x = 920/4
x = 230
he earned $230
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3 years ago
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