Answer:
a=5, b=15
Step-by-step explanation:
we know that
The figure MNLO is a Kite
so
LO=NO and MN=LM
we have
LO=7a-14, NO=b+6
7a-14=b+6 -----> equation A
MN=b, LM=3a
b=3a -----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for a
7a-14=(3a)+6
7a-3a=6+14
4a=20
a=5
Find the value of b
b=3a ----> b=3(5)=15
therefore
a=5, b=15
Answer:
2.9282 × 10^8
Step-by-step explanation:
(110×110×110×110)2
(146410000)2
292820000
292820000 can be simplified to 2.9282 × 10^8.
Hope this helps.
Answer:
A, C, D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Both triangles have three angles of the same value.
Remember that the angles in all triangles add up to 180°.
Let's use that to find out the unknown angles.
For the first triangle:
180 - 82 - 43 = 55°
55° is also in the second triangle.
Let's check with the second triangle:
180 - 82 - 55 = 43°
43° is also in the first triangle.
Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.
Hence, C.
Answer:
after 10 seconds the charge is 1.624
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one.
The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?
C (t) = 12
My answer:
Given the information:
C (t) = 12
when t =10 we have:
C (10) = 12
<=> C (10) = 12
<=> C (10) = 12
<=> C (10) = 12 * 0.1353
<=> C (10) = 1.624
Hence, after 10 seconds the charge is 1.624