Answer:
127°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180°(n - 2) ← n is the number of sides
here n = 5 ( Pentagon), hence
sum = 180° × 3 = 540°
To find the fifth angle subtract the sum of the 4 given angles from 540
angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°
Answer:
7/30
Step-by-step explanation:
We are given that Seven-ninths (7/9) of the pencils in a box are yellow and three-tenths (3/10) of the yellow pencils are sharpened.
To find the fraction that represents sharpened yellow pencils, we find the product of the the fraction of yellow pencils and the fraction of yellow pencils that are sharpened.
That is:
=> (7 / 9) * (3 / 10)
=(7 * 3) / (9 * 10)
= 21 / 90
= 7 / 30
7/30 represents the fraction of sharpened yellow pencils.
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
----> 
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
<em>Find the value of y</em>
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
Doubling the radius of the cylinder will quadruple the volume.
<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 = 24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>
