Answer: He has 287 home runs
Step-by-step explanation:
Let's define:
H = home runs of Hank
J = home runs of Jones.
We know that:
H = 2*J - 181
H = 755
Then we can replace the second equation into the first one:
755 = 2*J - 181
(755 - 181)/2 = J
287 = J
Solution:
<u>Note that:</u>
- Area of triangle = 6 3/8 yd²
- Height of triangle = 2 1/2
- Area of triangle = 1/2 x base x altitude
<u>Use the formula to find the base of the triangle.</u>
- 1/2 x base x altitude = 6 3/8 yd²
- => 1/2 x base x 2 1/2 = 6 3/8 yd²
- => 1/2 x base x 5/2 = 6 3/8 yd²
- => 5/4 x base = 6 3/8 yd²
- => base = 6 3/8 ÷ 5/4 yd
- => base = 51/8 x 4/5 yd
- => base = 51/2 x 1/5 yd
- => base = 51/10 yd
The length of the base is 51/10 yards.
There's a lot of theorems SAS, ASA, SSA, AAS, SSS
S=Side
A=Angle
If the order of the sides and angles in one of the above are congruent, then the triangles are congruent.
Hope this helps :D
Answer:
1.67 hours
Step-by-step explanation:
Let the original speed of Jonathan = 
units/hr
Let the original time taken by Jonathan = 
hours
Let the distance = 
units
Formula for distance is given as:
Given that half the distance is covered by original speed.
Half the distance is covered by increasing the rate by 25%.
i.e. increased speed:
Hence, Time taken:
Distance traveled is half of the total distance:
Dividing (1) by (2):
Answer:
45 in²
Step-by-step explanation:
Since it's a 45-45-90 triangle, the legs are equal length. The legs are the sides that are not the hypotenuse. The hypotenuse is the side opposite the 90° angle. Here, the legs are both 6. This is also the height of the parallelogram.
The formula for area of a parallelogram is
A = LH where L is the side length, and H is the height
So the area is
A = 7.5(6) = 45 in²
