Answer:
4
Step-by-step explanation:
The diagram shows that the one triangle can be divided into two equal right triangles. Because of this, you can use the Pythagorean Theorem to solve this problem. a and b are the two sides of the angles, and c is the hypotenuse.
The given lengths are 5 as the hypotenuse and 3 as one length. (You have 3 as a given length because the two triangles have a length of 6 on one side. 6/2 = 3)
a² + b² = c²
a² = c² - b²
a² = 5² - 3²
a² = 25² - 9²
a² = 16
a = 4
Answer:
<h3><em>
D. 880 = 45d + 70; 18 days.</em></h3>
Step-by-step explanation:
We are given fixed monthly charge = $70.
The cost of preschool per day = $45.
Number of days = d.
Total cost of d days = cost per day × number of days + fixed monthly charge.
Therefore, we get equation
880 = 45×d+70
<h3>880 = 45d +70.</h3>
Now, we need to solve the equation for d.
Subtracting 70 from both sides, we get
880-70 = 45d +70-70
810=45d
Dividing both sides by 45, we get

18=d.
Therefore,<em> 18 days Barry attended preschool last month.</em>
<em>Therefore, correct option is D option.</em>
<h3><em>
D. 880 = 45d + 70; 18 days.</em></h3>
Answer:
r(14) = 29
Step-by-step explanation:
r(x) = 3/2x+8
r(14) = 3/2*14+8 = 21+8 = 29
Step-by-step explanation:
3^2 + 3^2 =5^2
9 +9 =25
18 =25
False 18 is not equal to 25.
Answer:
The answer is below
Step-by-step explanation:
Select the quadrant in which the terminal side of the angle falls.
210° terminates in quadrant
-150° terminates in quadrant
390° terminates in quadrant
Solution:
The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.
Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.
a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
c) 390° = 390° - 360° = 30°.
Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.