Answer: 2a^2+22a+−1
Step-by-step explanation:
Let's simplify step-by-step.
2a^2−5a+(9)(3)a−1
=2a^2+−5a+27a+−1
Combine Like Terms:
=2a^2+−5a+27a+−1
=(2a^2)+(−5a+27a)+(−1)
=2a^2+22a+−1
<span>One T-shirt is m dollars. The number of T-shirts is n. Amy bought 27 T-shirts.
27n = m, so n = m/27.</span><span>
Hope that helps! (:</span>
Answer:
$16.
Step-by-step explanation:
Let t represent the cost of each tree.
We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.
We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be 
The total cost of purchasing 8 trees will be 
.
Since the total cost of the trees including the delivery was $168, so we can get an equation as:
Upon dividing both sides of our given equation by 8, we will get:
Therefore, the cost of each tree is $16.
Answer:
The volume of cone v= 113.04 cm³.
Step-by-step explanation:
Formula used to find volume of cone is:
where r is the radius and h is the height of cone.
In the given question we are given:
height h= 6 cm
diameter d= 6 cm
We know radius r = d/2 = 6/2 = 3 cm
so, volume will be:
So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm
A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
