Answer:
14
Step-by-step explanation:
you have opposite but need to find hypotenuse so you use SOH (sine=opposite/hypotenuse)
so sin(30)= 7/a
7/sin(30)=14
Hope its right
The factors of the quadratic equation are (x+3) and (x-15).
<h2 /><h2>Given to us</h2>
<h3>To find</h3>
The factors of 
.
<h3 /><h3>Solution</h3>
As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².
therefore, dividing -12x into -15x and 3x,
Taking common out,
Hence, the factors of the quadratic equation are (x+3) and (x-15).
Learn more about quadratic equations:
brainly.com/question/2263981
Answer:
300
Step-by-step explanation:
To find how many carrots, determine how many square units by finding the area. You can calculate the area by finding the area of the inside square 4 by 4 and then adding the area of each triangle on the side.
Area of square = 4*4 = 16 square units
Area of 2 triangles = 2(2*2*1/2)= 2(2) = 4 square units
16+4 = 20 square units.
15 carrots come from 1 square units so 15(20) = 300 carrots
There are 5 ways to test if two figures are congruent, namely;
side-angle-side(SAS)
Angle-side-angle (ASA)
Angle-angle-side(AAS)
Hypotenuse-leg (HL)
3 Sides (SSS)
here we shall focus on SSS. When the three corresponding sides of 2 figures say a triangle have the same length we will conclude that the triangles are congruent by SSS.
Therefore from our choices we can conclude that triangles ABC and ADC are only congruent if the two other side have the same length and BC=DC.
The answer is yes;
B] Yes, but only if BC=DC
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
