Answer:
AB = 6.53
Step-by-step explanation:
cos theta = adjacent/ hypotenuse
cos 40 = 5/ AB
AB cos 40 = 5
AB = 5/ cos 40
AB = 6.527036447
Round to the nearest hundredth
AB = 6.53
Step-by-step explanation:

Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
<h2>Answer:</h2>

<h2>Explanation:</h2>
Given the equation expressed as:

First, we need to calculate the value of "x" from the given expression.
Step 1: Given the equation 2x + 5 = 8x
Step 2: Subtract 5 from both sides:

Step 3: Subtract 8x from both sides

Step 4: Divide both sides by -6

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

Therefore the value of 12x is 10
Answer:
77/16
Step-by-step explanation: