3 years ago

In ΔABC, ∠A = 72 and ∠B = 18. What is the shortest side of the triangle?

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

3 0

C) AC , because <C = 90, that means <B is the smallest, so the smallest side is opposite the smallest angle

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Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)

Free_Kalibri [48]

Answer:

f(x) = $\frac{1}{7}(x+5)(x-1)(x-4)$

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = $\frac{2}{14}$

p = $\frac{1}{7}$

Therefore, equation will be,

f(x) = $\frac{1}{7}(x+5)(x-1)(x-4)$

5 0

3 years ago

Find the measure of angle E.

9966 [12]

Add all of the interior angles to 1260. Then you simplify for x. After that you plug in what you found for X in the E expression.

4 0

3 years ago

At a university, 60% of the students who apply. Of the students the university accepts, 25% actually enroll If 2000 students

sweet-ann [11.9K]

Answer:

300 students are enrolled.

Step-by-step explanation:

As the university accepts 60% of the students who apply.

As 2000 students apply, it means that:

2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted

Out of these 1200, 25% enrolled

1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled

Therefore, 300 students are enrolled.

5 0

3 years ago

Use the distributive property to rewrite the expression 4(3.5 + 2.3).

Fed [463]

Step-by-step explanation:

4x 3.5 + 4x 2.3

14 + 9.2

= 23.2

6 0

3 years ago

Read 2 more answers

Verify identity : <br><img src="https://tex.z-dn.net/?f=2%20%5Csin%20%7B%7D%5E%7B2%7D%20%28%20%5Calpha%20%29%20%20%2B%20%20%5Cco

ruslelena [56]

Answer:

what is this? math or physics?

Step-by-step explanation:

7 0

2 years ago