Answer:
60 degrees
Step-by-step explanation:
Restructured question:
The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.
First you must know that the sum of interior angle of a triangle is equal to the exterior angle
Interior angles = x−14 and x+4
Sum of interior angles = x-14 + x + 4
Sum of interior angles = 2x - 10
Exterior angle = 3x - 45
Equating both:
2x - 10 = 3x - 45
Collect like terms;
2x - 3x = -45 + 10
-x = -35
x = 35
Get the exterior angle:
Exterior angle = 3x - 45
Exterior angle = 3(35) - 45
Exterior angle = 105 - 45
Exterior angle = 60
Hence the measure of the exterior angle is 60 degrees
<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>
15 and 24 are the legs of the right triangle, so they are your a and b.
15^2 + 24^2 = c^2
225 + 576 = c^2
801 =c^2
square root of 801 = 28.3
Answer:
First question
Circle A:
Radius:2.5 Diameter: 5 Circumference:15.71
Circle B:
Radius:12 Diameter:24 Circumference:75.4
Circle C:
Radius:32 Diameter:64 Circumference:201.06
Circle D:
Radius:42 Diameter:84 Circumference:263.89
Second one:
without Pi
1:81.68
2:37.7
3:263.89
with pi
1:26π
2:12π
3:84π
sorry, i have to keep looking back at the photo
for the last question i will be solving ok
Answer:
235.5 ft³
Step-by-step explanation:
V = Ab×h
= πr²×h
= π(2.5)²×12
= 3.14×6.25×12
= 235.5 ft³
Answer: The required expected value is $3.46.
Step-by-step explanation:
Since we have given that
Number of value of 4 or less are
2,3,4
So, there are 12 in numbers.
So, probability would be
Since Aces are considered as the highest card in the deck.
So, remaining probability would be
Amount paid or value of 4 or less = $165
Amount not paid for other case = $45
So, the expected value would be
Hence, the required expected value is $3.46.
