<h3><u>An inequality to show how much he might spend on souvenirs and snacks is:</u></h3>
<h3><u>Solution:</u></h3>
Given that,
Gabe went to the amusement park with $40 to spend
His ticket cost $26.50
Therefore,
Total amount she has = $ 40
Ticket cost = $ 26.50
Let "x" be the amount he might spend on souvenirs and snacks
Therefore,
Remaining amount = 40 - 26.50
Remaining amount = 13.5
Thus she can spend less than or equal to $ 13.5 on souvenirs and snacks
Which is represented in inequality as:
Thus the inequality is found
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
So,
Since you can only take two one-credit courses every six months, you can earn 2 credits every six months, and 4 credits in one year. Multiplying that by 3, you get 12 credits in 3 years.
It will take 3 years to get the degree.
Pls. see attachment.
We need to solve for the angles of the smaller triangle in
order to solve for the angle of the larger triangle which would help us solve
the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right
triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to
solve for the measurement of the long leg which is the opposite of the 78
degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Use the sine law: sinB/b = sinA/a
SinB = b*sinA/a
sinB = 3*sin120° /8
∠ B = 18.94° ≈ 19°
