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3 years ago

SOVing Problems With Right Triangles: Mastery Test

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:

13.86 ft

Step-by-step explanation:

This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.

The height of the pole is the side opposite to the angle 60°.

The trigonometric function states that for a right angled triangle:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent

To find the height of the flagpole, we use:

sin(60) = height / 16

height = 16 * sin(60)

height = 13.86 ft

The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.

You might be interested in

What experimental of rolling a 2 or 3

kondor19780726 [428]

Answer:

Option 1: 0.32

Step-by-step explanation:

Let

P(A) be the experimental probability of getting two

And

P(B) be the experimental probability of getting three

The dice is rolled 360 times.

So the sample space is n(S) = 360

P(A) = n(A)/n(S)

= 54/360

= 0.15

And

P(B) = n(B)/n(S)

= 62/360

= 0.172

As both the events A and B are mutually exclusive,

P(A or B) = P(A) + P(B)

= 0.15 + 0.172

=0.322

Rounding of to one decimal gives us:

0.32

So the probability of rolling a two or three is 0.32 ..

3 0

3 years ago

Given the line below. Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify

allsm [11]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ -4}} &,&{{ -1}}~) 
% (c,d)
&&(~{{ 3}} &,&{{ -3}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-3-(-1)}{3-(-4)}\implies \cfrac{-3+1}{3+4}\implies -\cfrac{2}{7}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=-\cfrac{2}{7}[x-(-4)]
\\\\\\
y+1=-\cfrac{2}{7}(x+4)$

4 0

3 years ago

Can someone help me please look at picture

Virty [35]

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

3 0

3 years ago

Read 2 more answers

1. in mathematics, what is money?

Verizon [17]

Answer:

Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts, such as taxes, in a particular country or socio-economic context.

Step-by-step explanation:

brainliest please

6 0

3 years ago

Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic the

yKpoI14uk [10]

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

Food Clothes Housing Energy High Quality 100

Proof Moonshine

Farmer 0.25 0.15 0.25 0.18 0.20

Tailor 0.15 0.28 0.18 0.17 0.05

Carpenter 0.22 0.19 0.22 0.22 0.10

Coal Miner 0.20 0.15 0.20 0.28 0.15

Slacker Bob 0.18 0.23 0.15 0.15 0.50

Total 1.00 1.00 1.00 1.00 1.00

6 0

3 years ago