Answer:
15 cos(33°) m
Step-by-step explanation
Presumably m stands for meters.
If RS were 1, x would be cos(33°)
Multiply sides of triangle by 15 m
When calculating cos(33°) first make sure cos(90°) comes out zero, not -0.448...
Answer:
The answer would be 3.6
Is it OK if I don't explain it?
Answer:
x = 105°
General Formulas and Concepts:
<u>Geometry</u>
Step-by-step explanation:
If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.
Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for <em>x</em>.
Answer:
286/20 or 14.3
Step-by-step explanation:
According to the Question,
- Given, Joey exercising every day. Today he jogged for 8.40 minutes and sprinted for 0.65 minutes then jumped roped for 10.30 minutes and stretched for 5.25 minutes .
jogged for 8.40 minutes = 8minute + 0.40minute ⇒ (8 + 4/10) ⇒ (8 + 2/5) Minutes.
- sprinted for 0.65 minutes = 65/100 ⇒ (13/20)Minutes.
- stretched for 5.25 minutes = 5 + 25/100 ⇒ (5 + 1/4)Minutes.
- Total numbers of minutes that joey spent exercising = (5 + 1/4)Minutes + (13/20)Minutes. + (8 + 2/5) Minutes.
⇒13 + 1/4 + 2/5 + 13/20
⇒13 + (5+2*4+13)/20
⇒13 + 26/20
⇒286/20 or 14.3 or 14 minutes 3/10 minute .
Answer:
<em>Any width less than 3 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:
A = L.W
The first condition can be written as follows:
LW < 18
The length should be 3 feet longer than the width, thus:
L = W + 3
Substituting in the inequality:
(W + 3)W < 18
Operating and rearranging:
Factoring:
(W-3)(W+6)<0
Since W must be positive, the only restriction comes from:
W - 3 < 0
Or, equivalently:
W < 3
Since:
L = W + 3
W = L - 3
This means:
L - 3 < 3
L < 6
The width should be less than 3 feet and therefore the length will be less than 6 feet.
If the measures are whole numbers, the possible dimensions of the garden plot are:
W = 1 ft, L = 4 ft
W = 2 ft, L = 5 ft
Another solution would be (for non-integer numbers):
W = 2.5 ft, L = 5.5 ft
There are infinitely many possible combinations for W and L as real numbers.
