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3 years ago

For the right triangle find the missing length. Round your answer to the nearest tenth.

Mathematics

2 answers:

butalik [34]3 years ago

7 0

9514 1404 393

Answer:

w ≈ 5.8

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° "special" right triangle are ...

1 : √3 : 2

That is, ...

w/10 = 1/√3

w = 10/√3 ≈ 5.8

Drupady [299]3 years ago

5 0

Answer:

5.8

Step-by-step explanation:

tangent = opposite over adjacent

10*tan(30) ≈ 5.774

round to the nearest 10th

5.8

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Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for

Anni [7]

Option C

Monthly loan payment is $ 93.33

Solution:

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

Hence net principal is given as:

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

Let us first calculate the simple interest

The formula for simple interest is given as:

$\text{ simple interest } = \frac{ p \times n \times r}{100}$

Substituting the given values,

$\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240$

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

How much are the monthly loan payments?

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

$\text{ Monthly loan payment } = \text{ Total amount payable } \div 24$

$\text{ Monthly loan payment } = \frac{2240}{24} = 93.33$

Thus monthly loan payment is $ 93.33 Option C is correct

4 0

3 years ago

A line crosses the coordinates (-3, 5) and (4, -2). What is the slope-intercept form of the equation of this line?

Sunny_sXe [5.5K]

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-5}{4-(-3)}\implies \cfrac{-7}{4+3}\implies \cfrac{-7}{7}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=1[x-(-3)]\implies y-5=1(x+3) \\\\\\ y-5=x + 3\implies y=x+8$

3 0

3 years ago

The relationship between the number of games won by a minor league baseball team and the average attendance at their home games

natulia [17]

Answer: There is a strong positive correlation between number of games won by a minor league baseball team and the average attendance at their home games is analyzed.

Step-by-step explanation:

The Pearson's coefficient 'r' gives the correlation between the predicted values and the observed values .

It tells the direction and the strength of the relation.

When r is negative it means there is a negative relationship between the variables .
When r is positive it means there is a positive relationship between the variables .
When |r|=1 , strong correlation ,
When r=0 , there is no correlation.
If 0.70<|r|<1 , there is a strong correlation.
If 0.50<|r|<0.70 , there is a moderate correlation.
If 0.30<|r|<0.50 , there is a low correlation.

Given : A regression to predict the average attendance from the number of games won has an r = 0.73.

Since r=0.73 is positive and 0.70 <0.73 <1 , it means there is a strong positive correlation between number of games won by a minor league baseball team and the average attendance at their home games is analyzed.

4 0

3 years ago

Simplify 3x² x 4x5 ggggggggggggg

Effectus [21]

$3 {x}^{2} \times 4 \times 5 \\ = 60{x}^{2}$