<span>We use ratio and proportion to solve each of these:
</span><span>
</span><span>1.
The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi
</span><span>1 in / 19.5 mi = x in / 9.5 mi, x = 0.487 in
</span><span>
</span><span>2.
The scale of a map is 7 in = 16 mi map: 4.9 in actual: ______ mi
</span><span>7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi
</span><span>
</span><span>3. The
scale factor for a model is 5 cm = ________ m Model : 72.5 cm actual:
165.3 m
</span><span>5 cm / x m = 72.5 cm / 165.3 m, x = 11.4 m
</span><span>
</span><span>4. The scale of a map is 1 in = 9.6 mi map: ________ in actual:
34.7 mi
</span><span>1 in / 9.6 mi = x in / 34.7 mi, x = 3.62 in
</span><span>
</span><span>5. The scale of a map is 1 ft = 9.6 mi map: ________ ft actual:
38.4 mi
</span><span>1 ft / 9.6 mi = x ft / 38.4 mi, x = 4 ft
</span><span>
</span><span>6. The scale factor for a model is 5 cm = ________ m Model :
22.4 cm actual: 155.2 m
</span><span>5 cm / x m = 22.4 cm / 155.2 m, x = 34.64 m
</span><span>
</span><span>7. The scale of a map is 5 in = 10 mi map: 8.7
in actual: ______ mi
</span><span>5 in / 10 mi = 8.7 in / x mi, x = 17.4 mi
</span><span>
</span><span>8. The scale of a map is 1 in = 13.5 mi map:
________ in actual: 65.9 mi
</span><span>1 in / 13.5 mi = x in / 65.9 mi, x = 4.88 in
</span><span>
</span><span>9. The scale factor for a model is 5 cm =
________ m Model : 61.5 cm actual: 143.2 m
</span><span>5 cm / x m = 61.5 / 143.2 m, x = 11.64 m
</span><span>
</span><span>10. The scale factor for a
model is 5 cm = ________ m Model : 29.7 cm actual: 179.5 m
</span><span>5 cm / x m = 29.7 cm / 179.5 m, x = 30.22 m
</span>
Answers B, C, D are all correct!
If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.
Let’s verify all answers:
A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.
B) 24.5 x 10 = 245. This answer is correct!
C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!
D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!
E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.
Answer:
Positive co terminal angle = -105°
Negative co terminal angle = 225°
Step-by-step explanation:
We have been given the angle 75° and we have to find one positive and one negative co-terminal angle.
In order to find the co terminal angle, we add and subtract 180° to the given angle.
Therefore, the negative co terminal angle is given by
75 - 180 = -105°
And the positive co terminal angle is given by
75 + 180 = 225°
Answer:
x=6
Step-by-step explanation:
3х +5= 23
Subtract 5 from each side
3х +5-5= 23-5
3x = 18
Divide each side by 3
3x/3 =18/3
x = 6
Answer:
She would spend 52.5$
Step-by-step explanation:
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