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scoray [572]
3 years ago
5

I forgot to label the triangle below! I just know that the cos A = 0.48. Based on this information, which angle should be marked

A?

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:

angle 1

Step-by-step explanation:

Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.

This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.

Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.

Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.

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Find x and the measure of each side.
Anna71 [15]

Answer:

x=27.5

FG=72.5

GH=60

HF=47.5

Step-by-step explanation:

Sum of angles in a triangle=180

Therefore, FG+GH+HF=180

Substituting the values we have,

(3x - 10) + (2x+5) +(x+20) = 180

Collecting like terms

3x+2x+x = 180 +10 - 5 - 20

6x = 165

X= 27.5

FG = (3x - 10) = 3(27.5) - 10

FG= 72.5

GH= (2x+5) = 2(27.5)+5

GH=60

HF= x+20 =27.5+20

HF=47.5

5 0
1 year ago
17. Find the ratio of the perimeter to the area of the square shown.<br> x + 3<br> x + 3
Serga [27]

Answer:

4x+12/x^2+9

Step-by-step explanation:

Perimeter

x+3+x+3+x+3+x+3

Area

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7 0
2 years ago
Pls help this is due in soon!!
Rasek [7]

Answer:

48

Step-by-step explanation:

6 0
2 years ago
A bottle is filled with saline solution for eyes, is the bottle more likely to hold 15 milliliters of solution or 1 liter of sol
Gnesinka [82]
The bottle is more likely to hold 15 milliliters

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Give a brief explanation as to what kind of solution you expect for the linear equation 18x +1/2 equals 6(3x +25). Transform the
Makovka662 [10]

Answer:

there cannot be any solution of the given linear equation.

Step-by-step explanation:

i) the linear equation of 18x + \frac{1}{2} = 6(3x + 25)

ii) transforming the equation to a simpler form we get

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iii) therefore there cannot be any solution of the given linear equation.

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3 years ago
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