Answer:
10 units
Step-by-step explanation:
Area of the triangle (A') = 1/2bh
A' = 1/2bh............ Equation 1
Where b = base of the triangle, h = height of the triangle
From the diagram,
Given: b = 12.5 unit, h = 4 unit
Substitute into equation 1
A' = 1/2(12.5)(4)
A' = 25 squared unit.
Also,
Area of the rectangle (A) = Lenght(L)×width(w)
A = Lw............ Equation 2
From the question,
If the area of the rectangle is 40% larger than the area of the triangle
Therefore,
A = 1.4A'
A = 1.4(25)
A = 35 squared unit.
Also given: w = 3
= 7/2
Substitute into equation 2
35 = L×7/2
7L = 35×2
7L = 70
L = 70/7
L = 10 units
The angle that is coterminal to-341 degrees is 29 degrees
<h3>Coterminal angles</h3>
Coterminal angles are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side.
When determining the coterminal angle of a particular angle measure, we will simply add 360 degrees to such angle.
Given the angle -341 degrees, the angle coterminal to the angle is expressed as;
Coterminal angle = -341 + 360
Coterminal angle = 29 degrees
Hence the angle that is coterminal to-341 degrees is 29 degrees
Learn more on coterminal angle here; brainly.com/question/19891743
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Answer:
Distance between A and B is 2672 km.
Step-by-step explanation:
Since one city B is having latitude of 23° and other town is having latitude of 47°.Radius of Earth has been given as 6380 km.
Therefore arc A from x-axis will be A = 2πr(∅/360) = 2×3.14×6380×(47/360)
= 5230.90 km
Now arc B from x-axis = 2πr(∅'/360) = 2×3.14×6380(23/360) = 2559.80 km
Therefore distance between them = 5230.9-2559.8 = 2671.9 ≅ 2672 km
Now we will rewrite the arc length formula in radians.
arc A = r×(∅×π/180)
arc A = 6380×(47×π/180) = 1665.9π
arc B = 6380×(23×π/180) = 815.22π
Now the distance between A and B = 850.68π
Step-by-step explanation:
Answer is attached....of both the parts.
Hope it helps:)
P-125 is the answer i believe you are looking for. Since p is the original amount of the mountain bike, and the question says the price was reduced by $125, this means that $125 was subtracted from p, the original price. Therefore, p-125.
