Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.
208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.
Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.
If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.
If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.
Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
This is an incomplete question, here is a complete question.
What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)
Answer : The speed in feet per second is, 293 feet/s
Step-by-step explanation :
As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.
As we know that:
1 mile = 5280 feet
1 hour = 3600 second
So,
1 mile/hr = 1.4667 feet/s
As, 1 mile/hr = 1.4667 feet/s
So, 200 mile/hr = 
= 293.34 feet/s ≈ 293 feet/s
Therefore, the speed in feet per second is, 293 feet/s
Answer:
please stop all this love comments
Step-by-step explanation:
okk? that will be better
Answer:
14cm
Step-by-step explanation:
times by 2
