Evaluate : 36.36 - 4x when x = 9
2 answers:
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Answer:
≈ 11.34 units²
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 3.5)² + (y - 2.82)² = 25 ← is in standard form
with r² = 25 ⇒ r = = 5
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 5² ×
= π × 25 ×
=
≈ 11.34 units² ( to the nearest hundredth )
Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem
----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°