Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k = 
(x, y) → 
By this rule coordinates of the image points of A and B will be,
A(8, 6) → 
→ A'(5.3, 4)
B(12, 12) → 
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of
.
Answer:
1) 121.7
2) 131.8
3) 106.2
4) 88.5
5) 90.3
6) 110.2
Explanation:
Don't worry about the decimals when adding since there all aligned just add like usual, straight through.
9514 1404 393
Answer:
252.8 cm²
Step-by-step explanation:
The missing side of the right triangle can be found from the Pythagorean theorem:
s² = 20² -16² = 400 -256 = 144
s = 12 . . . . cm
The area of a right triangle is more easily found using the traditional area formula:
A = 1/2bh
A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)
The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...
s = (16 +20 +23)/2 = 29.5
The area is ...
A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)
A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)
Then the total area of the figure is ...
A = 96 cm² +156.818 cm² = 252.818 cm² . . . . total area
Lets break this down. One minute is 60 seconds, so to find out what 3/4ths of a minute is we would divide 60 by 4 and that would give us 15; but thats only 1/4th of a minute. So to get 3/4ths we take the 15 and multiply that by 3 and we get 45. So if Tim can write 30 words in 45 seconds then he is writing about 0.6 words a second. We repeat that process for Justins words per second and we get 0.6 once again. we then add 0.6 and 0.6 together to get they're combined words per second and we come up with 1.3. Stay with me were almost done! Now we know that together Justin and Tim write 1.3 words a second so if we multiply 1.3 by 60 we now know that combined they write 78 words a minute now we multiply that by 5 and we see that altogether in 5 minutes they write about 390 words.
Answer: The answer is D
Step-by-step explanation: Take the height x 1.5 and base x 1.5