Answer:
(8, 4)
Step-by-step explanation:
<em>AD is enlarged to JM</em>
<em>AD² = 2² + 1² = 4 + 1 =5</em>
<em>AD = √5</em>
then you plug in JM
<em>JM² = 6² + 3² = 36 + 9 = 45</em>
<em>JM = √45 = 3 √5</em>
<em>so if </em>
<em>JM=3 AD</em>
then
<em>ML= 3 DC </em>
<em>then you add</em>
<em>5+3=8</em>
the coordinates for point L are (8, 4)
Answer:
90°, 60°, and 30°
60°.
Step-by-step explanation:
The triangle ABC has side lengths √6, √2, and 2√2 units.
It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.
Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is
, then

Hence,
= 60°
Therefore, the three angles of the triangle are 90°, 60°, and 30°.
Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.
And in that case the base angle will remain 60°. (Answer)
Answer:
y= $50x + $25
Step-by-step explanation:
Slope-intercept form is y=mx+b
x is something that is constant
b is something you add on to the constant
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%