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3 years ago

If the given values in a right triangle are cos A =

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

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A blank is one of 100 equal parts

EastWind [94]

A percent is one of 100 equal parts.

hope this helps.

6 0

3 years ago

Solve for x<br> -4(-5x+2)-3x-5=-30

valentina_108 [34]

Answer:

x=-1

Step-by-step explanation:

-4(-5x+2)-3x-5=-30

open the bracket

+20x-8-3x-5=-30

collect like terms

20x-3x-8-5=-30

17x=-30+13

17x= - 17

divide both sides by 17

x= -1

5 0

2 years ago

Read 2 more answers

A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given that the number of candidates

RUDIKE [14]

The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 is 0.4179.

<h3>How to calculate probability?</h3>

The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 will ba calculated thus:

= [(9C6 /12C9) × 1/2] + [(9C7)/12C10) × 1/2]

= 42/220 + 18/66

= 0.1909 + 0.2727

= 0.4179

In conclusion, the probability is 0.4179.

Learn more about probability on:

brainly.com/question/24756209

7 0

1 year ago

1. Create a symbolic form for each of the functions described below.

agasfer [191]

Answer:

a) f(x) = -5/2x +50

b) f(x) = 50·0.90^x

c) f(x) = 8/3x -30

d) f(x) = 10·1.15^x

Step-by-step explanation:

Apparently, you're studying linear and exponential functions. The general form of a linear function in "slope-intercept" form is ...

f(x) = mx + b

where m is the slope (rate of change of output with respect to input), and b is the "output-intercept", the function value for an input of zero.

The general form of an exponential function is ...

f(x) = a·(1 +r)^x

where "a" is the "output-intercept", the function value for an input of zero, and r is the fractional change for a unit change in input, x. Here, you're given r as a percentage. It will be positive when output increases with input, and it will be negative when output decreases with input.

Using the above function prototypes in the given scenarios, we have ...

a. A linear function with b=50, m=-10/4 = -5/2, so the function is ...

f(x) = -5/2x +50

b. An exponential function with a=50, r=-0.10, so the function is ...

f(x) = 50·(1 -0.10)^x

f(x) = 50·0.90^x

c. A linear function with b=-30 and m = 16/6 = 8/3, so the function is ...

f(x) = 8/3x -30

d. An exponential function with a=10 and r=+0.15, so the function is ...

f(x) = 10·1.15^x

_____

<em>Comment on functions with percentage change</em>

You need to be a little bit careful with percentage change in a function. There are some scenarios where the rate of change in a linear function is described using percentages. For example, one might say that a car depreciates linearly, and has lost 40% of its value in the first 3 years. Then the rate of change is <em>-13.33% of its original value</em> each year.

Percentages are always in relation to some base value. If that base value is changing with each percentage change, the function is exponential. If that base value remains constant, then the function is linear.

4 0

3 years ago

0.03is 10 times as much as

PSYCHO15rus [73]

Answer:

0.03 is 10 times as much as 0.003

Step-by-step explanation:

its the answer

8 0

2 years ago