Answer: 35
Step-by-step explanation:
The average can be found by adding their ages together and dividing by the number of ages.
Given:
= 23
Multiply both sides of the equation by 5:
19 + 20 + 20 + 21 + x = 115
Combine like terms:
80 + x = 115
Subtract 80 from both sides of the equation:
x = 35
Erica is 35.
I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.
So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle <span>ϴ which is made from the ladder and the ground.
</span>The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.
Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sin<span>ϴ = opp/hyp.
</span>so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sin<span>ϴ.
</span>
To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18
Hope this helps
<span>1.5 times the number of carnation bushes.
If the number of carnation bushes is c.
R = 1.5c - 7
Hope this helps:-)</span>
Answer:
Area of remaining cardboard is 224y^2 cm^2
a + b = 226
Step-by-step explanation:
The complete and correct question is;
A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?
Solution;
Mathematically, at any point in time
Area of the cardboard is length * width
Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2
Area of the cuts;
= 4 * (6y)^2 = 4 * 36y^2 = 144y^2
The area of the remaining cardboard will be :
368y^2-144y^2
= 224y^2
Compare this with;
ay^b
a = 224, and b = 2
a + b = 224 + 2 = 226
