Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
(a) The system of the equations 
has no solution.
(b) The system of the equations 
has many solutions 
Step-by-step explanation:
(a) To find the solutions of the following system of equations you must:
Multiply 
by 2:
Subtract the equations
0 = -3 is false, therefore the system of the equations has no solution.
(b) To find the solutions of the system you must:
Isolate x for 
Substitute into the second equation
The system has many solutions.
Isolate y for
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
kaheart [24]
Answer:
3/10
Step-by-step explanation:
<em>Step 1 : Write the formula of calculating probability</em>
Probability = Number of favourable outcomes/Number of total outcomes
<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>
- Total outcomes are the total cards that are placed on the table = 10 cards
- The favourable outcomes are the number of cards that have an even number on them.
12, 14, 18 = 3 cards
<em>Step 3 : Substitute the values in the formula</em>
Probability = Number of favourable outcomes/Number of total outcomes
Probability = 3/10
Therefore, the probability of picking a card with and even number is 3/10.
!!
Answer:
She will be able to cut approximately 2 yards off and still have 1 yard.
Step-by-step explanation:
Because 3-2=1 so there would be 1 yard left.
