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3 years ago

Find the value of x.

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

21.6 degrees

Step-by-step explanation:

the sum of angles in a triangle is 180 degrees

71 + x + (4x-11) = 180

open the brackets

71 + x +4x - 1 = 180

71 + 1 + x + 4x =180

72 + 5x =180

5x = 180 -72

5x = 108

x = 108/5 = 21.6

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Round $4.39 to the nearest dollar

pshichka [43]

It would be 4 dollars

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3 years ago

PLEASE HELP WILL GIVE FULL PONITS! 3. Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, o

Artyom0805 [142]

Answer:

The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.

Step-by-step explanation:

You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x

=> x = 50 m / tan(86°)

x = 50 m / 14.30 = 0.98 m

4 0

3 years ago

How do you solve for b when the equation is 48/b^2 =750/b^5 ?

ahrayia [7]

First off, you're going to end up with 2 answers.

Alright so you have:

$\frac{48}{b^2} = \frac{750}{b^5}$

You'll want to multiply both sides by b²

You'll end up with:

$48 = \frac{750}{b^3}$

Multiply both sides by $b^5$

Now you should have:

$48b^5 = 750b^2$

Subtract 750b^2 from both sides.

Now:
$48b^5 - 750b^2 = 0$

Factor the left side of the equation:
$6b^2(2b-5)(4b^2+10b+25)=0$

Set both factors to 0:
$2b - 5 = 0$ $4b^2+10b+25=0$

Your Answers:
b = 0 or b = $\frac{5}{2}$

3 0

3 years ago

Read 2 more answers

Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye

den301095 [7]

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now, From Compound Interest method

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, 2 × p = p × $(1+\dfrac{\textrm r}{100})^{\textrm n}$

Or, $16,000 = $8,000 × $(1+\dfrac{\textrm 9}{100})^{\textrm n}$

Or, $\dfrac{16,000}{8,000}$ = $(1.09)^{n}$

Or, 2 = $(1.09)^{n}$

Now, Taking Log both side

$Log_{10}$ 2 = $Log_{10}$ $(1.09)^{n}$

Or, 0.3010 = n × $Log_{10}$ 1.09

Or, 0.3010 = n × 0.0374

∴ n = $\dfrac{0.3010}{0.0374}$

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

8 0

3 years ago

Use the data to find the interquartile range. [Note: Type your answers as numbers. Do not round.] Movie Ticket Fees at a Local T

Tanya [424]

Answer:

The Inter quartile range is $2.25.

Step-by-step explanation:

The Inter quartile range (IQR) is a quantity which tells amount of data contained between the first quartile (Q₁) and third quartile (Q₃).

The IQR can be computed using the formula:

$IQR=Q_{3}-Q_{1}$

The first quartile (Q₁) is well defined as the mid-value between the minimum value and the median of the data set. Or the mid-value of the first half of the data set is the first quartile.

The third quartile (Q₃) is the mid-value amid the median and the maximum value of the data set. Or the mid-value of the second half of the data set is the Third quartile.

The data set in arranged order is:

S = {$6.50, $8.75, $9.75, $10.25, $11.00, $12.75}

The first half of the data set is:

S₁ = {$6.50, $8.75, $9.75}

The mid-value is $8.75.

The first quartile is, Q₁ = $8.75.

The second half of the data set is:

S₁ = {$10.25, $11.00, $12.75}

The mid-value is $11.00.

The first quartile is, Q₃ = $11.00.

Compute the Inter quartile range as follows:

$IQR=Q_{3}-Q_{1}$

$=11.00-8.75\\=2.25$

Thus, the Inter quartile range is $2.25.

7 0

4 years ago