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QveST [7]
3 years ago
11

Based on the given triangle, the cosine of the 60 degree angle is:

Mathematics
2 answers:
irinina [24]3 years ago
8 0
The cosine of a 60 degree angle is 1/2. 
Fittoniya [83]3 years ago
4 0

Answer:

Hence, the value of cosine of the 60 degree angle is: \dfrac{1}{2}.

Step-by-step explanation:

We are asked to find the value of cosine of the 60 degree angle of the triangle.

We know that the cosine function  is one of the basic functions encountered in trigonometry."the cosine of an angle in a right‐angle triangle is the ratio of the length of the adjacent leg to the length of the hypotenuse."

Now we know directly that the \cos 60 \degree=\dfrac{1}{2}

and this value is also equal to \sin 30\degree

since, we know that \cos (90-x)=\sin x

Hence, the value of cosine of the 60 degree angle is: \dfrac{1}{2}.

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Look at the parallelogram ABCD shown below. The table below shows the steps to prove that if the quadrilateral ABCD is a paralle
Liula [17]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
30 POINTS!!!
DIA [1.3K]

Answer:

She can make cookies for 4.95 weeks

Step-by-step explanation:

2 x 1 2/3 = 3.333333333

16.5/ 3.333333333 = 4.95

Since Jordan is making two batches of Cookies per week, you need to multiply 2 by the amount of resources needed to bake one batch of cookies. So you multiply 1 and 2/3 by 2 to get the amount of resources neccesary for one week of making cookies. Then, you take the full amount of resources that she has, and divide that by the amount she uses per week, that number will give you the number needed to figure out how many weeks she has to bake cookies.

To figure out the number that is being divided to get the whole number in weeks, you would take the 16.5 cups of flour. The reason why this is, is because that Is the starting number of cups that she has. So here you would need to divide the amount you are taking from it each week. This will result in the amount of weeks that she is able to bake cookies with her flour.

5 0
3 years ago
what is an equation of the line that passes through the point (5,1) and is parallel to the line x+y=9
Ede4ka [16]
Y=9-x is slope-intercept form of that line, which means it has a slope of -1. Parallel lines have the same slope, so the slope of this new line will also be -1.

To find the line that goes through (5,1), we can use a blank equation y=mx+b. We know that m=-1, so we can use the given point to find b:

y=mx+b
Y=-x+b
1=-5+b
6=b

So the line would be y=-x+6.
7 0
3 years ago
What is the value of x in the equation −x = 2 − 3x + 6?
Wittaler [7]
-x = 2 - 3x + 6

Add 3x to both sides.

-x + 3x = 2 + 6

Simplify.

2x = 8

Divide both sides by 2.

x = 4

~Hope I helped!~
7 0
3 years ago
Cecilia is making cookies for her friends. The recipe, which makes 48 cookies, calls for 4 cups of flour and 1 1/3 cups of sugar
Vsevolod [243]

Answer:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

Step-by-step explanation:

Recipe for 48 cookies

Flour = 4 cups

Sugar = 1 1/3 cups

Recipe for 36 cookies

48 cookies : 36 cookies

= 4 : 3

Flour used in 36 cookies = x cups

Flour used in 48 cookies = 4 cups

4 cups : x cups

4 : 3 = 4 : x

4/3 = 4/x

4*x = 3*4

4x = 12

x = 12/4

x = 3 cups

Sugar = 1 1/3 cups

Sugar used in 36 cookies = y cups

Sugar used in 48 cookies = 1 1/3 cups

4 : 3 = 1 1/3 : y

4/3 = 4/3 ÷ y

4/3 = 4/3 × 1/y

4/3 = 4/3y

4*3y = 3*3

12y = 9

y = 9/12

= 3/4

y = 3/4

The true statement are:

2. Cecilia uses 3 cups of flour for 36 cookies

4. Cecilia is making 3/4 of the original recipe

8 0
3 years ago
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