Step-by-step explanation:
First we need to get his speed:
speed = distance / time
If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute
If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute
Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.
Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles
please mark me as brainliest
Answer:
9 sq. units
Step-by-step explanation:
dimensions of rectangle are (7-3),(8-3)
or 4,5
area of rectangle=4×5=20
area of bottom Δ=1/2×4×2=4
area of top Δ=1/2×3×3=9/2
area of right triangle=1/2 ×5×1=5/2
area of Δ HIJ=20-(4+9/2+5/2)
=20-(4+14/2)
=20-(4+7)
=9 sq. units.
or area of triangle =1/2
| 3 5 |
| 7 3 |
|6 8 |
|3 5 |
=1/2[(9-35)+(56-18)+(30-24)]
=1/2[-26+38+6]
=1/2[-26+44]
=1/2(18)
=9 sq. units.
Answer:
9
Step-by-step explanation:
If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.
Now, we have to find the value of

and

The tangent of 45 is 1, so 1 squared times 4 is 4.
We have
.
Again, the tangent of 45 is 1, and 1 times 5 is 5.
We have 
5 + 4 = 9
I believe the commission is 7,511