3 years ago

In a right triangle, theta is an acute angle and sin theta = 4/9. What is the

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

I’m the dollar menu millionaire

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PLEASE HELP ME ANSWER THE QUESTIONNN

qwelly [4]

Answer:

The y-intercept of the line is 32

Step -by -step explanation :

The general form of equation of a line that will pass through the three points is:

y=mx+c

where m is the gradient and c is the y-intercept

Now, find the gradient.

$m = \frac{y_1 - y}{x _1- x}$

Take,

$x= 32$

$y=22$

$x _1=48$

$y_1 = 17$

By substitution,

$m = \frac{17- 22}{48- 32}$

$m = - \frac{5 }{16}$

we now put the values of m, x and y into the general equation to find the c

$22= - \frac{5}{16}(32)+ c$

$22= - 5(2)+ c$

$22 + 10 = c$

$c = 32$

Hence the y-intercept of the line is 32

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3 years ago

Pauline pours 9/10 to gallon of juice equally into 6 bottles. How much juice is in<br> each bottle?

Evgen [1.6K]

Answer:

0.15 Gallons

Step-by-step explanation:

9/10 = 0.9 (Conversion)

0.9 ÷ 6 = 0.15

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3 years ago

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Amy had homework for math science and history she spent 1/3 of her time working on math and 1/4 of her time working on science h

Semenov [28]

5/12 of the time is the answer

4 0

4 years ago

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One number is 6 less than a second number.

Lapatulllka [165]

Answer:

-7

Step-by-step explanation:

x = y - 6

2x = 5y - 9

Use the internet for full steps

x = -7

y = -1

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3 years ago

Please help i don't know what I'm doing!!! :( multiply and simplify cot x( sin x - sec x)

fgiga [73]

Answer:

cos(x) -csc(x)

Step-by-step explanation:

It is helpful to know the relations between the trig functions:

$\cot{x}=\dfrac{\cos{x}}{\sin{x}}\\\\\sec{x}=\dfrac{1}{\cos{x}}\\\\\csc{x}=\dfrac{1}{\sin{x}}$

Then the given expression can be simplified as follows:

$\cot{x}(\sin{x}-\sec{x})=\dfrac{\cos{x}}{\sin{x}}\left(\sin{x}-\dfrac{1}{\cos{x}}\right)=\cos{x}-\dfrac{1}{\sin{x}}\\\\=\boxed{\cos{x}-\csc{x}}$

6 0

3 years ago