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GuDViN [60]
3 years ago
8

Someone please help me! Studying for finals and don’t understand how to complete problems like this! Thank you!

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

(d). \frac{152}{377}

Step-by-step explanation:

sin² β + cos² β = 1

cos (α + β) = cos α cos β - sin α sin β

cos α = √(1 - \frac{400}{841} ) = 21 / 29

cos β = 12 / 13

sin β = √(1 - \frac{144}{169} ) = 5 / 13

sin α = 20 / 29

cos (α + β) = \frac{21}{29} × \frac{12}{13} - \frac{20}{29} × \frac{5}{13} = \frac{152}{377}

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There is 1/4 ounce of yeast in every 2 1/4 teaspoon of yeast. A recipe calls for 2 teaspoons of yeast. How many ounces of yeast
MrRissso [65]
1/4 ounce of yeast ... 2 1/4 teaspoons of yeast
x ounce of yeast = ? ... 2 teaspoons of yeast

If you would like to know how many ounces of yeast need to be in the recipe, you can calculate this using the following steps:

1/4 * 2 = x * 2 1/4
1/2 = x * 9/4     /*4/9
x = 1/2 * 4/9
x = 2/9

Result: 2/9 ounce of yeast needs to be in this recipe.
7 0
3 years ago
PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.
Readme [11.4K]

Answer:

a. b=4

Step-by-step explanation:

\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}

From the attached triangle drawn below:

NL=20,  LM=3b, \angle L=x^\circ

\sec x =\dfrac{20}{3b}

Since we are told that:

\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4

The correct option is A.

8 0
3 years ago
What is the value of the function when x = 4?<br><br> y = 3x + 7
adelina 88 [10]

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-9x + 3y = 21...........................watch the y's disappear
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substitute -4 instead of x in either of the ORIGINAL equations

2x - 3y = 7
2(-4) - 3y = 7
-8 -3y = 7..........add 8 to both sides
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y = -5

im not sure


8 0
3 years ago
Read 2 more answers
what is the equation of a line that passes through the point (6,1) and is perpendicular to the line whose equation is y=2x-6?
alexandr402 [8]

Answer:

y = -(1/2)x + 4

Step-by-step explanation:

Use the standard form on an equation:  y = mx + b

A line that is perpendicular has a slope that is the opposite reciprocal of the other line.  We also have a point (x, y) that is on the line, so our equation begins as..

1 = -(1/2)(6) + b           We must solve for b (  -1/2 is the opposite reciprocal of 2)

1 = -3 + b

4 = b  

so our equation is

y = -(1/2)x + 4

3 0
3 years ago
Read 2 more answers
What is the slope between the points (-3, 7) and (-5, 4)​
IrinaVladis [17]

Answer:

3/2

Sorry for the bad handwriting.

4 0
3 years ago
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