-4=-1b-(1/3)b
-4=-(4/3)b
-4/-(4/3)=b
b=3
-------------------------------
(1/2)3+(5/3)2
3/6+10/6=13/6
-23/3=13/6a
(-23/3)/(13/6)=a
a=-46/13
Answer:
It should be Neither ordered pair is a solution
Step-by-step explanation:
I take the same math lol
Answer:
14.99
Step-by-step explanation:
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) =
=
=
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) =
=
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) =
sin(Z) =
Picture 4
In right triangle DEF,
Cos(D) =
=
=
=
Picture 5
In ΔABC,
tan(63°) =
tan(63°) =
AB =
AB =
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
Answer:
Distance between the surface and source of light will be increased by 6 meters.
Step-by-step explanation:
The illuminance of a surface varies inversely with the square of ts distance from the light source.
Let illuminance of the surface = x lumens per square meter
and distance from a light source = y meter.
Now x ∝
Or [k = proportionality constant]
Now we will find the value of k.
k = xy²
k = 120×(6)²
k = 4320
We have to calculate the distance of the source if illuminance of the surface is 30 lumens per square meter.
y² =
y² = 144
y = √144 = 12 meters
So the source of the light will be shifted away from the surface = 12 - 6 = 6 meters.