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3 years ago

32.3 = 14.8 + 8.4x hellpppppppppppp

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Answer:

Step-by-step explanation: 3

32.3=14.8+\frac{42x}{5}

32.3=14.8+542x

⋅

77julia77 [94]3 years ago

4 0

Answer:

x = 2.08333333333

Step-by-step explanation:

Please give me brainliest

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<img src="https://tex.z-dn.net/?f=cos%20%5B%20arctan%28%5Cfrac%7B12%7D%7B5%7D%29%20-%20arcsin%20%28%5Cfrac%7B-3%7D%7B5%7D%29%5D"

qwelly [4]

Answer: -16/65

Step-by-step explanation:

Drawing the right triangle (as attached) gives us that $\arctan \left(\frac{12}{5} \right)=\arcsin \left(\frac{12}{13} \right)$

Also, $-\arcsin \left(-\frac{3}{5} \right)=\arcsin \left(\frac{3}{5} \right)$

This means our original expression is equal to:

$\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]$

Using the cosine addition formula, which states $\cos(a+b)=\cos a \cos b-\sin a \sin b$ , we get this itself is equal to:

$\cos \left(\arcsin \left(\frac{12}{13} \right) \right)\cos \left(\arcsin \left(\frac{3}{5} \right)\right)-\sin \left(\arcsin \left(\frac{12}{13} \right) \right)\sin \left(\arcsin \left(\frac{3}{5} \right)\right)$

Since $\sin^{2} \theta+\cos^{2} \theta=1$ , we know that:

$\sin^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)+\cos^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)=1\\\\\frac{144}{169} +\cos^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)=1\\\\cos^{2} \left(\arcsin \left(\frac{12}{13} \right)\right)=\frac{25}{169}\\\\cos \left(\arcsin \left(\frac{12}{13} \right)\right)=\frac{5}{13}$

Similarly, cos(arcsin(3/5))=4/5.

This means the given expression is equal to:

$\left(\frac{5}{13} \right) \left(\frac{4}{5} \right)-\left(\frac{12}{13} \right) \left(\frac{3}{5} \right)\\\\\frac{20}{65}-\frac{36}{65}=\boxed{-\frac{16}{65}}$

3 0

2 years ago

(3,4) is an example of a/an

Elan Coil [88]

Answer:

Ordered pair

Definition: An ordered pair is a pair of numbers in parentheses that declare the location of a point on a graph.

4 0

4 years ago

Alvin is 9 years younger than Elga. The sum of their ages is 67. What is Elga's age?

ASHA 777 [7]

Answer:

Elga is 38

Step-by-step explanation:

Alvin is 29

38 + 29 = 67

6 0

2 years ago

Read 2 more answers

Put the numbers in order from least to greatest :

motikmotik

Least: a thousand squared (31.6)
population of ohio (11.61 mil)
# of seconds in a year (31.5 mil)
99 x 99 x 99 x 99 (96 mil)
population of u.s. (323.1 mil)
greatest: days since the 1st january 1st (no one knows when the 1st jan 1st was)

4 0

3 years ago

What are the values for x and y?

-Dominant- [34]

Answer:

X = up and down

Y = Side to side

Step-by-step explanation:

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3 years ago