Angle A is an acute angle in a right triangle

2 answers:

4 0

Sin=opositeside/hyptonuse
cos=adjacentside/hyptoonse
try and draw a diagram
pretend we gots
acute angle is on left side
right angle is below obtuse angle

so sinA=7/25=left side/hypotonuse
so we need to find other side
pythagorean theorme

a²+b²=c²
7²+b²=25²
49+b²=625
b²=576
b=24

so

sinA=o/h
cosA=a/h

7=o
25=h
24=a

cosA=24/25

Brrunno [24]3 years ago

3 0

Cos= 24/25

7^2+24^2=25^2

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Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction liters of tea

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Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks $5\frac{1}{4}\ liters\$ in 1 hour

Step-by-step explanation:

$Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\$ $\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters$