Answer:
77.2°
Step-by-step explanation:
Consider the triangle JKR.
∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)
All the angles in a triangle add up to 180, so:
∠JKR+∠KJR+∠JRK=180
∠JKR+108.6+32.8=180
∠JKR=38.6=∠RKA
Consider ∠RKA. This angle stands on the same arc as ∠RCA.
Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.
2(∠RKA) = ∠RCA
2(38.6)=∠RCA
∠RCA=77.2°
We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:
Now, we solve the square:
Now, we add the values:
Now, we take the square root to both sides:
![h=\sqrt[]{500km^2}](https://tex.z-dn.net/?f=h%3D%5Csqrt%5B%5D%7B500km%5E2%7D)
Solving the operations:
Therefore, the length of the hypotenuse is 22.361 kilometers.
The radius of the cylinder before deformation is 7.5mm
<h3>Deformation of an object</h3>
From the given question, we are given that;
cold work radius of the cylinder is 10mm
Ductility = 25%
Determine the radius before deformation
Radius before deformation = (1- 0.5) + 10
Radius before deformation = 0.75 * 10
Radius before deformation = 7.5mm
Hence the radius of the cylinder before deformation is 7.5mm
Learn more on deformation here: brainly.com/question/6417346
Answer:
Step-by-step explanation:
The diameter of the top of the coffee mug which the baker uses to cut out circular cookies from the big sheet of cookie dough is 8 cm.
Radius of the coffee mug is diameter of the coffee mug/2.
Radius of the coffee mug
= 8/2 = 4cm
The area of the circular mug is expressed as
Area = πr^2
Where π is a constant whose value is 3.14
Therefore,
Area of the top of the circular mug = 3.14 × 4^2 = 3.14 × 16 = 50.24 cm^2
The area of the top of the circular cup is the same as the area of each cookie. Therefore,
The area of each cookie is 50.24 cm^2
Answer:
1. angle 5 and angle 6 are not liner pair
2.yes angle 5 and 9 r linear pair.
3.no angle 5 and angle 8 are not linear pair
4.yes angle 5 and 8 are vertical angles
5.no angle 5 and angle 7 are not vertical angles.
6.no angle 9 and angle 6 are not vertical angles.
<em><u>please mark it as brainliest!!</u></em>
