Answer:
7 times
Step-by-step explanation:
There is one number greater than 5 on a dice - that is the number 6.
So probability of throwing a six = 1/6.
So it is 42 * 1/6.
Answer: 5.83 units
Step-by-step explanation:
Sketching the data above,
Length of segment AD can be computed using Pythagoras rule ;
Where segment AD = hypotenuse
Segment AB = 3 = opposite
Sin Θ = opposite / hypotenuse
Sin 31° = 3 / hypotenuse
Hypotenuse × 0.5150380 = 3
Hypotenuse = 3 / 0.5150380
Hypotenuse = 5.8248120 units
Hypotenuse = 5.83 units
Answer: The required system of equations representing the given situation is

Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.
We are to write a system to represent the situation.
Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.
According to the given information,
with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.
So, the equation representing this situation is

Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.
So, the equation representing this situation is

Thus, the required system of equations representing the given situation is

Diagram of two triangles
The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).
The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.
Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.
Word Problen
The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.

Standard form of Pythagorean theorem.

Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>

Square the legs and add.


Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.
Thus the diagonal distance is 29 blocks.
Check by substituting.
Answer:
x = 17
Step-by-step explanation:
