Answer:
3.3
Step-by-step explanation:
Answer: 11:7
Step-by-step explanation:
Number of green colored pencils=11
Number of blue colored pencils= 7
Number of red colored pencils= 3
Total number of colored pencils= 11+7+3= 21
Ratio of green colored pencils to blue colored pencils= 11:7
Option D, 63 cm
Explanation:
The scale of model is of local park is
This means that each dimension of the model is 21 times smaller than the actual park (to be developed in future)
Given -
Depth of the pond centi meter
Depth of the real pond will be 21 times of the depth of the model.
Thus , real pond's depth is equal to
cm
Hence, option D is correct
Answer:

Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

- θ= 54
- opposite= x
- hypotenuse = 2.3

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3




Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

x is approximately <u>1.9</u>
3(4 - x) <= 54
12 - 3x <= 54
-3x <= 42
x >= -14 answer
Its A