Answer:
The range of values for x is; 5 < x < 29
Step-by-step explanation:
The given parameters are;
= 15
= 18
=
Given
=
by reflexive property
∠BCA = 2·x - 10
∠DCA = 48°
Since 15 < 18, given the common sides of the tringle ΔABC and triangle ΔADC, angle ∡(2·x - 10)° < 48°
Therefore;
2x - 10 < 48
2·x < 48 + 10
∴ x < 29
Also, given that 2·x - 10 is real, 0 < 2·x - 10
10 < 2·x
10/2 < x
5 < x
Therefore, an acceptable range is 5 < x < 29
Answer:
<h3>Step-by-step explanation:
Given,
diameter ( d ) = 12 in
height ( h ) = 15 in
<u>finding </u><u>the </u><u>radius </u><u>of </u><u>a </u><u>cylinder</u>
Radius is just half of diameter.
Radius ( r ) = 12 / 2 = 6 in
<u>finding </u><u>the </u><u>volume </u><u>of </u><u>a </u><u>cylinder </u><u>having </u><u>radius </u><u>of </u><u>6</u><u> </u><u>in </u><u>and </u><u>height </u><u>of </u><u>1</u><u>5</u><u> </u><u>in</u>
Volume of a cylinder = <u></u>
⇒
⇒
⇒<u></u>
Hope I helped!
Best regards!!