Answer : The number is 4.
Step-by-step explanation:
<u>Given : </u>
six times a number, increased by 3 is is 27.
<u>To Find: </u>
The number.
<u>Solution : </u>
Let the number is x
six times a number is 6x
Increased by 3 = 6x+3
According to the given question :
<u>Solving the value x : </u>
6x+3 =27
6x = 27-3
6x = 24
x = 24/6
x = 4
Hence, the number is 4.
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
The answer to that problem is 9600cm. each side of surface area will be the same multiplied together
Answer:
Distance = abs(-1700)
Distance = 1700 miles
Step-by-step explanation:
NYC is located East of Los Angels.
The Airplane flies from Los Angeles to the left direction from NYC.
Which is negative direction.
Therefore, distance = -1700
Here the distance cannot be negative even though if it flies in negative direction.
Therefore, we use the absolute value.
The absolute value of a number is always positive.
So, distace = abs( -1700)
Distance = 1700 miles.
Hope this will help you understand the concept.
Thank you.
Answer:
1. 121 π unit²
2. 143°
3. 151 unit²
Step-by-step explanation:
1.
Area of a circle is given by the formula A = πr²
where
A is the area,
r is the radius of the circle
From the given diagram, we can see that the radius is 11, hence the area will be:
The answer is 
units^2
2.
The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°
The measure of the central angle of the shaded sector is 143°
3.
Area of a sector is given by the formula 
Where
is the central angle of the sector (in our case it is 143°)
r is the radius (which is 11)
Plugging in all the info into the formula we have:
<em>rounding to the nearest whole number, it is </em>151 units^2
