The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?

A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be

Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

7 0

4 years ago

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 p

Len [333]

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

7 0

3 years ago

A zoo has two male lions one sixth of the lions are male lions how many lions are there at the zoo

andrey2020 [161]

One sixth of the lions is the two male lions.
One sixth of x lions is 2 lions.

$\dfrac{1}{6}x = 2$

Multiply both sides by 6.

$x = 12$

Answer: There are 12 lions in the zoo.

5 0

3 years ago

Ax-bx-y=z which of the following represents the formula that could be used to find x?

hodyreva [135]

Answer:

see explanation

Step-by-step explanation:

Given

Ax - bx - y = z ( add y to both sides )

Ax - bx = z + y ← factor out x from both terms on the left side

x(A - b) = z + y ← divide both sides by (A - b)

x = $\frac{z+y}{A-b}$