A ladder is propped against the side of a building making a 30 degree

1 answer:

3 0

Using trigonometry. This picture shows a ‘not to scale’ sketch of the following question. Use Sin 30. Sin 30= opposite/hypo tenuse. That is simply dividing 6 ft over Sin 30 that is 12 feet.

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Solve for the variable in 6/18=x/36

liberstina [14]

6/18=x/36

18x=216

x=12

6 0

3 years ago

19) In the xy-plane, what is the y-intercept of the graph of the equation<br> y=3(x-1)(x+2)?

Dahasolnce [82]

Answer:

- 6

Step-by-step explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

= 3(x² + x - 2) ← distribute by 3

= 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )

3 0

3 years ago

Rex, Paulo, and Ben are standing on shore watching for dolphins. Paulo sees one surface directly in front of him about a hundred

Ksivusya [100]

1. $m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}$ , then $m\angle ABC=m\angle ACD$ and triangles ADC and ACB are similar by AAA theorem.

2. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{AC}{AB}= \dfrac{AD}{AC}$ .

3. Knowing lengths you could state that $\dfrac{b}{c}= \dfrac{e}{b}$ .

4. This ratio is equivalent to $b^2=ce$ .

5. $m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}$ , then $m\angle BAC=m\angle BCD$ and triangles BDC and BCA are similar by AAA theorem.