Answer:
10
Step-by-step explanation:
32 - (5 x 3 + 7) first do the multiplication - order of operations is important!
32 - (15 + 7) then combine the numbers in the parentheses
32 - 22 now subtract
10
Answer:
y = -2x - 5
Step-by-step explanation:
Let the equation if the line be y = mx + c
since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)
sub (-4, 3):
3 = -2(-4) + c
c = -5
therefore, the equation of the line is y = -2x - 5
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
height ≈ 31 ft
Step-by-step explanation:
The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue. The angle of elevation from the ground to the top of the statue is 61°. The height of the statue can be computed below.
adjacent side of the triangle = 17 ft
opposite side = a
Using SOHCAHTOA principle
tan 61° = opposite/adjacent
tan 61° = a/17
cross multiply
a = 17 tan 61°
a = 17 × 1.80404775527
a = 30.6688118396
a ≈ 31 ft
Answer:
a=90° (given)
b=180°-90°-59° (angles on a straight line)
c=180°-59° (angles on a straight line)
d=59° (vertically opposite angles)
Step-by-step explanation:
I said the answer already
Answer:
Step-by-step explanation:
Let x represent height of the prism.
We know that volume of rectangular is equal to product of its height, width and length.
, where w, h and l represents width, length and height respectively.
We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:
We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:
Let us solve for x.
Therefore, the value of x is 7.2 inches.
