Answer:

Step-by-step explanation:
<u>Trigonometric Identities</u>

<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
Therefore, using the trig identities and ratios:

Answer:

Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.
If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:
→ 
In this case, the vertices of the triangle JKL (the Pre-Image) are:

Knowing that the scale factor is:

You get that the vertices of the triangle J'K'L' (Image), are:

Answer:
3 1/3 km or 3.33 km (to the hundredth)
Step-by-step explanation:
Using the given formula,
estimated distance = v.t = velocity * time,
velocity = 5 km/h
time = 40 minutes =
hours =
hours
Therefore
distance = 5 km/h *
hours = 10/3 km
= 3.33 km approximately
The given quadratic equation will not have any real solution for c<-9/4.
The given quadratic equation is:

<h3>What is a quadratic equation?</h3>
Any equation of the form
is called a quadratic equation with a≠0.
In order to have no real solution, the discriminant of a quadratic equation will be less than zero.




For
the given quadratic equation will have no real solutions.
Hence, the given quadratic equation will not have any real solution for c<-9/4.
To get more about quadratic equations visit:
brainly.com/question/1214333
1) D
2) A
3) C
4) B
5) A
6) D