Answer:
12x-6
Step-by-step explanation:
perimeter= 2l+2w
=2(x+4)+2(5x-7)
=2x+8+10x-14
=12x-6
Answer:
31.5 squared cm
Step-by-step explanation:
Let's start with the triangle part :)
We have a base half a base of 3, so let's add 3 more to make it complete, which gives us 6.
6cm (base) x 6 cm (height) = 36 cm.
Since it's a triangle, we must divide by 2 which gives us 18 cm.
Now let's move on to the circle.
we have a radius of 3.
in order to find area of a circle, we have to do pi x r squared.
We have a radius of 3 so let's square it, which give us 9. after that we multiply 9 by pi.
In the directions, it says use 3 for pi. So we do
3 x 9 which equals 27.
But WAIT- it's a <u>half</u> circle so we <u>divide 27 by 2</u> which gives us <u>13.5 </u><u>cm.</u>
Let's add the two
<u>1</u><u>8</u><u> </u><u>cm </u><u>+</u><u> </u><u>1</u><u>3</u><u>.</u><u>5</u><u> </u><u>cm</u> <u>=</u><u> </u><u> </u><u>3</u><u>1</u><u>.</u><u>5</u><u> </u><u>cm </u><u>squared</u> <u>(</u><u>remember</u><u> </u><u>to </u><u>square </u><u>it </u><u>since </u><u>it's </u><u>area!</u><u>!</u><u>)</u>
<u>I </u><u>hope </u><u>this </u><u>helped!</u><u>!</u><u>!</u><u> </u><u><</u><u>3</u>
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The mean is
The standard deviation is
The random number
Given that the time taken is normally distributed the probability is mathematically represented as
Generally the z-score for the normally distributed data set is mathematically represented as
So
This value is obtained from the z-table
Solutions to the equation are 5, -6
Step-by-step explanation:
- Step 1: Equation is √(x² + 2x - 25) = √(x + 5). Square both sides to simplify the equation
⇒ x² + 2x - 25 = x + 5
⇒ x² + x - 30 = 0
⇒ x² + 6x - 5x - 30 = 0
⇒ x(x + 6) - 5(x + 6) = 0
⇒ (x - 5)(x + 6) = 0
⇒ x = 5, -6