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krok68 [10]
3 years ago
10

Choose one answer is math

Mathematics
1 answer:
klemol [59]3 years ago
4 0
The correct answer is D
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Analyze the diagram below and complete the instructions that follow.<br><br> Find m
Stells [14]

Answer:

D. 70.53

Step-by-step explanation:

To solve this problem, one must use the right angle trigonometric rations. These ratios can be used to describe the ratio between the sides and an angle in a right triangle. Please note, each side is named relative to the angle that one is looking at, thus the same side can acquire different names based on the angle one uses to describe it. The trigonometric ratios are the following:

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

In this case, one is asked to find the measure of (<CBA), one is given the hypotenuse (the side opposite the right angle), and the side adjacent to this angle. Therefore, one should use the cosine (cos) function to find this angle.

cos(\theta)=\frac{adjacent}{hypotenuse}

Substitute,

cos(CBA) = \frac{3}{9}

Simplify

cos(CBA) = \frac{1}{3}

Inverse operations,

CBA=cos^-1(\frac{1}{3})

Compute,

m<CBA = 70.53

7 0
3 years ago
A drink is made by mixing pineapple juice , orange juice and line juice in the ratio 2:7:3 Sally makes 600ml of the drink
Tresset [83]
Sally has 600 ml of drink
Karen has 600 ml of lime juice

When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:

pineapple = 2/12
orange = 7/12
lime = 3/12

Sally has 12 parts = 600 ml of drink
 . . pineapple = 2/12*600ml = 100 ml pineapple
 . . orange = 7/12*600ml = 350 ml orange
 . . lime = 3/12*600ml = 150 ml lime

We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink

Karen has 12 parts = 2400 ml of drink
 . . pineapple = 2/12*2400ml = 400 ml pineapple
 . . orange = 7/12*2400ml = 1400 ml orange
 . . lime = 3/12*2400ml = 150 ml lime


Thus . . . (for Karen) . . .
<u><em>A = 2400 ml of drink</em></u>
<u><em>B = 400 ml of orange juice</em></u>
<u><em>C = 1400 ml of pineapple juice</em></u>




5 0
3 years ago
A cup is filled with pencils. The teacher sharpen 1/4 of them. A student sharpen 2/3 of them. The fraction of pencils left to be
Bad White [126]

Answer:

1/12

Step-by-step explanation:

1/4+2/3=11/12

4 0
3 years ago
PLEASE HELP WILL GIVE BRAINSLIST
Zina [86]

Answer: 3. 55° 2. 225° 1. 125°

Step-by-step explanation: don't want brainliest

6 0
3 years ago
Here are the dimensions of the oven tray Jenny bakes the cakes on.
Alina [70]
How big is the oven tray?
7 0
4 years ago
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