Let x represent the height of the model.
We have been given that a construction company built a scale model of a building. The model was built using a scale of 3 inches = 32 feet. We are asked to find the height of the model, if the building is expected to be 200 feet tall.
We will use proportions to solve our given problem as:
Upon substituting our given values, we will get:
Therefore, the model will be 18.75 inches tall.
Answer:
The measure of the angles:
24° and 66°
Step-by-step explanation:
Complementary angles sum 90°
then:
(3x + 3) + (10x-4) = 90
3x + 10x + 3 - 4 = 90
13x - 1 = 90
13x = 90+1
13x = 91
x = 91/13
x = 7°
then:
3x+3 = 3*7 + 3 = 21+3 = 24°
10x - 4 = 10*7 - 4 = 70 - 4 = 66°
Check:
66° + 24° = 90°
Answer:
The smaller number is 240.
Step-by-step explanation:
The question says that the larger number is 300, so 5 has to be 300.
4:5
?:300
You can use cross-multiplication or find the scale factor to find the answer.
Cross-multiplication:
4 × 300 ÷ 5 = 240
Finding the scale factor:
300 ÷ 5 = 60
4 × 60 = 240
The smaller number is 240.
Answer:
11
Step-by-step explanation:
Answer: for -10 + 4 the answer is -6
for -7 - 11 the answer is -18
Step-by-step explanation:
For -10+4 all you do is start at -10 and go up 4 to -6 (-9, -8, -7, -6)
and for -7 - 11 you start at 7 and just go down (but the numbers get bigger) to -18 (-8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18)
