Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:
Solving for B, we have:
∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.
<h3>What is simple interest?</h3>
It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.
We know the formula for the simple interest is given by:
I = PRT
Where I is the simple interest.
P is the principal amount
R is the rate of interest
We have in the question:
I = $180
R = 2% = 0.02
T = 1 year
Put the above values in the formula, we get:
180 = P(0.02)(1)
P = $9000
The additional interest Benson pay each month is:
= 9000/12
= $750
Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.
Learn more about the simple interest here:
brainly.com/question/22621039
The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.
<h3>What is the area of the circle and the square?</h3>
The area of the circle is
Ac = πr² = πd²/4 sq. units
Where r is the radius and d is the diameter of the circle.
The area of the square is given by
As = s² sq. units
Where s is the length of the side of a square.
<h3>Calculation:</h3>
It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.
So,
The area of pizza is
Ap = Ac = πd²/4 sq. units
= π(10)²/4
= 25π
= 78.54 sq. in
Then, the area of the square box with the length same as the diameter of the pizza is,
As = d²
= 10²
= 100 sq. in
Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.
Learn more about the area of a circle here:
brainly.com/question/15673093
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∠DOC is the average of the given angle values,
(170° +44°)/2 = 107°
∠DOB is the supplement to that,
180° -107° = 73°
The appropriate choice is
B) 73°
Answer:
D. (4,3)
Step-by-step explanation:
(-3,4)
Reflection in the y-axis:
Same y, -ve x
(3,4)
Reflection in y = x
(x,y) goes to (y,x)
(3,4) goes to (4,3)
