Answer:
- angle at A: 51°
- base angles: 64.5°
Step-by-step explanation:
The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.
The base angles at B and C are the complement of half this value, or ...
90° -(51°/2) = 64.5°
The angle measures in the triangle are ...
∠A = 51°
∠B = ∠C = 64.5°
Answer:
3081.24 cm³ (nearest hundredth)
Step-by-step explanation:
<u>Formulas</u>


If a rectangular piece of paper is rolled along its length to form a cylinder:
- circumference = 44 cm
- height = 20 cm
To calculate the volume of the formed cylinder, determine the radius by using the circumference formula:



Substitute the round radius into the formula for Volume and solve for V:





Therefore, the volume of the cylinder is 3081.24 cm³ (nearest hundredth).
Answer:
Step-by-step explanation:
Let X be the diameter of bolts produced in a machine shop
X is normal with mean = 6.46 mm and std dev = 0.05 mm.
We are to find the two diameters that separate the top 9% and the bottom 9%.
We can use std normal distribution value for this and from Z we can calculate X values
P(Z<z) = 0.09 and P(Z<z1) = 0.91
z=-1.341 and z1 = +1.341
Corresponding X values would be
for bottom 9%
X = 6.46-1.341*0.05 = 6.39295
X = 6.46+1.341*0.05=6.52305
The value of diameter for the given triangle inscribed in a circle will be 22.
<h3>What is a circle?</h3>
A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
As per the given triangle inscribed a circle.
The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.
x + 2 = 2x - 7
2 = 2x - x - 7
x = 9
Thus, radius = 9 + 2 = 11
Diameter = 11 x 2 = 22 units.
Hence "The value of diameter for the given triangle inscribed in a circle will be 22".
To learn more about the circle,
brainly.com/question/266951
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