2 years ago

The dashed line is given by the equation y=-9/5x-4

Mathematics

1 answer:

Svetlanka [38]2 years ago

8 0

If you're looking for the dashed line, here it is.

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(05.01 MC) In triangle JKL, tan(b°) = three fourths and cos(b°) =four fifths. If triangle JKL is dilated by a scale factor of on

REY [17]

Answer:

$sin(b^\circ) = \dfrac{3}{5}$

Step-by-step explanation:

We are given a $\triangle JKL$ where $\angle K = 90^\circ$

$tan(b^\circ) = \dfrac{3}{4}\\cos(b^\circ) = \dfrac{4}{5}$

As per trigonometric rules,

$tan(\theta) = \dfrac{Perpendicular}{Base}$

$cos(\theta) = \dfrac{Base}{Hypotenuse}$

Comparing the given value of tangent and cosine:

Perpendicular = 3 units

Base = 4 units

Hypotenuse = 5 units

Also, we know that:

$sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin(b^\circ) = \dfrac{3}{5}$

Now, it is given that the triangle is dilated by a scale factor of $\frac{1}{2}$ .

i.e. all the sides will become half of its initial values.

New Perpendicular = 1.5 units

New Base = 2 units

New Hypotenuse = 2.5 units

Using the formula for sine:

$sin(\theta) = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin(b^\circ)= \dfrac{1.5}{2.5}\\\Rightarrow sin(b^\circ)= \dfrac{15}{25}\\\Rightarrow sin(b^\circ)=\dfrac{3}{5}$

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3 years ago

Write to explain how you can use an array to break apart 18x12 to find the product and check if the product is reasonable.

liraira [26]

Answer:

9x6 then x 4

Step-by-step explanation:

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3 years ago

A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum heigh

Anna71 [15]

Answer:

Step-by-step explanation:

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2 years ago

In how many ways can eight tickets be put

asambeis [7]

Answer:

Only one

Because

3+5=8 there's no other way

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2 years ago

I understand the simple interest part, however I don’t understand the compounded interest part, need help quick.

Burka [1]

Compound interest is the starting amount x (1+ the interest rate as a decimal)^ the time in years=the final amount.

In your case, the equation will be $1000*(1+0.10)^how many years= the final amount.

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