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den301095 [7]
3 years ago
6

Solve for x round to the nearest tenth. Show steps!

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

\large\boxed{x\approx56.44}

\large\text{It's close to 55.0}

Step-by-step explanation:

\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44

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krok68 [10]

Answer: the answer is A

Step-by-step explanation:

6 0
3 years ago
Lauren Michel lends $17,000 at a rate of 10.7% .
Maru [420]
Given:
Principal = 17,000
rate = 10.7%
term = x/360
interest = 1,121.72

Interest = Principal * rate * term
1,121.72 = 17,000 * .107 * x/360
1,121.72 = 1,819x / 360
1,121.72 * 360 = 1,819x
403,632 / 1,819 = x
221.90 = x

Lauren Michelle will have to wait 222 days for her investment to earn $1,121.72

Given:
Principal = x
rate = 9%
term = 10 months
interest = 1,687.50

Interest = Principal * rate * term
1,687.50 = x * 0.09 * 10/12
1,687.50 = x * 0.075
1,687.50 / 0.075 = x
22,500 = x

The amount Sandra Leatherwood invested was $22,500.


7 0
3 years ago
An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8
babymother [125]

Answer:

5.45%


Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.


<em>What percent is 0.6 mg of total 11 mg??</em>


Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

\frac{0.6}{11}=0.0545*100=5.45

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0
3 years ago
[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
ale4655 [162]

<u>We are given:</u>

An even number 'n', multiplied by the next consecutive even number is 168

<u>Solving for n:</u>

From the given statement, we can say that:

n(n+2) = 168                      [<em>n multiplied by the next even number 'n+2'</em>]

n² + 2n = 168

n² + 2n - 168 = 0               [<em>subtracting 168 from both sides</em>]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      <em>[factoring out common terms</em>]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

4 0
3 years ago
Find the measure of the indicated angle to the nearest degree. Thanks.
Sholpan [36]

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ = \frac{19}{23}

θ = \text{tan}^{-1}(\frac{19}{23})

θ = 39.56

θ ≈ 40°

5 0
3 years ago
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