A. -448
Explanation:
-28 times 16 is -448.
Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday
Step-by-step explanation:
The total distance to to his grandmothers house is assumed to be 1
Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would
1 - 7/10 = 3 /10
They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is
2/3 × 3/10 = 2/10 = 1/5
Answer:
Step-by-step explanation:
17. Rotation
18. Always
19. 4
20.
21. Acute triangle/ Isosceles triangle. All angels are acute and there are none of the sides are equal.
22. The transformation was a reflection. I know this because all the colors flipped, but everything else is the same.
Answer: 216 square units
====================================================
Explanation:
A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.
If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer
the side length 3 becomes 3*6 = 18
the side length 4 becomes 4*6 = 24
the side length 5 becomes 5*6 = 30
The new perimeter is 18+24+30 = 42+30 = 72
The last step is to find the area. The two legs of this triangle are the base and height
area = 0.5*base*height
area = 0.5*18*24
area = 9*24
area = 216
-----
Or you could find the area of the 3-4-5 right triangle to get
area = 0.5*base*height = 0.5*3*4 = 6
then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.
2v + 18 = 16 - 4(v + 7)
Simplify by removing the parenthesis.
2v + 18 = 16 - 4v - 28
Now, simply add 4v to both sides.
2v + 4v + 18 = 16 - 28
Simplify.
6v + 18 = -12
Now, subtract 18 from both sides.
6v = -12 - 18
Simplify.
6v = -30
Finally, divide both sides by 6.
6v ÷ 6 = 30 ÷ 6
Simplify.
v = 5
~Hope I helped!~