Answer:
26 - R = C
3 cars
Step-by-step explanation:
26-R = C
26-23 = 3
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
Answer:
Yes, a ratio can be simplified.
Step-by-step explanation:
An example of this is 5:10, where it can be simplified down to 1:2.
Step-by-step explanation:
so, you got the volume but don't know how to find the surface area ? that is strange for me. what's the problem ?
the surface of a cube or rectangular prism consists of 6 sides that split (for a rectangular prism) into 3 pairs of equal sides :
top and bottom
left and right
front and back
all we need to do is calculate the areas of these 6 rectangles and add them up. that's it.
in our case
top and bottom : 5×4 × 2 = 20×2 = 40 in²
left and right : 4×4 × 2 = 16×2 = 32 in²
front and back : 5×4 × 2 = 40 in²
so, in total, the whole surface area of the prism is
40 + 32 + 40 = 112 in²
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula 
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula 
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or 
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula 
and substitute values for , 
, and 
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
