Given:
6a = (6x30) + (6x2)
Find the value of a.
6a = (6x30) + (6x2)
As you notice, 6 is the common factor of each term
6a =6(30+2)
6a = 6(32)
To get the value of a, divide both sides by 6.
6a/6 = 6(32)/6
a = 32 CHOICE B.
6a = (6*30)+(6*2)
6(32) = 180 + 12
192 = 192
or you can solve the problem this way.
6a = (6*30)+(6*2)
6a = 180 + 12
6a = 192
6a/6 = 192/6
a = 32
Answer:
Equation of the straight line in point-slope form
y -(-7) =
(x-8)
Equation of the straight line
3x +4y +4=0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the point ( 8,-7) and 
Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m (x-x₁)
y -(-7) =
(x-8)
4( y+7) = -3(x-8)
4y +28 = -3x +24
3x +4y +28 -24 =0
3x +4y +4=0
Answer:
Rounded to the nearest tenth:
in
Rounded to the nearest hundredth:
in
Step-by-step explanation:
We have a right triangle with a given angle of 35°. We also have the opposite side of that angle,
, and its hypotenuse 10 in. To find
, we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.




Rounded to the nearest tenth:
in
Rounded to the nearest hundredth:
in
Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in




2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in



total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³
B, D represent pairs of vertical angles.
___
Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.