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Pepsi [2]
1 year ago
9

What's 3.2rounded to the nearest tenth

Mathematics
1 answer:
Ede4ka [16]1 year ago
8 0
Answer : 3.2 because the 2 is in the tenth place and you can’t round any higher. so it would still be 3.2
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What are the sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60°?
Margaret [11]

Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

Therefore, sin(pi/3) = 6/r =

r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

4 0
2 years ago
12. Use a trigonometric ratio to find the measure of O in the triangle below. Give your answer to the nearest degree.
larisa [96]

<u>G</u><u>iven </u><u>:</u><u>-</u>

  • A right angled triangle with two sides 10cm and 9cm .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The value of theta .

<u>Solution</u><u> </u><u>:</u><u>-</u>

At angle theta , 9cm side will be considered as the perpendicular and 10cm side will be hypotenuse . So , as we know that ;

\longrightarrow sin\theta =\dfrac{perpendicular}{hypotenuse}

Substituting the respective values,

\longrightarrow sin\theta =\dfrac{9cm}{10cm}

Simplify,

\longrightarrow sin\theta= 0.9

Take arcsin both sides ,

\longrightarrow \theta =sin^{-1}(0.9)

\\\longrightarrow\underline{\underline{\theta = 64.15^o }}

<u>Hence</u><u> the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>6</u><u>4</u><u>.</u><u>1</u><u>5</u><u>°</u><u> </u><u>.</u><u> </u>

6 0
2 years ago
Estimate 58% of 121 by using 10%
kvv77 [185]
58% is about equal to 60%, 10% of 121 is 12.1.
12.1 * 6 = 72.6
To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.
72.6  - (1.21 * 2) = 72.6 - 2.42 = 70.18
5 0
3 years ago
CAN SOMEONEE PLEASEEE HELL MEEEEEE I will give BRAINLEST !!!
andre [41]

Answer:

Step-by-step explanation:

5 0
2 years ago
Please help me under stand this question.
Marizza181 [45]

Answer: 2^{30}

Step-by-step explanation:

In order to solve this exercise it is important to remember:

1. The Negative exponent rule, which states that:

a^{-n}=\frac{1}{a^n}

2. The Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

Therefore, knowing the explained above and having the following expression provided in the exercise:

\frac{2^{14}}{2^{-16}}

You can identify that the numerator and the denominator have the same base 2. Then, you can simplify the expresssion as following:

(2^{14})(2^{16})=2^{(14+16)}=2^{30}

7 0
3 years ago
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