Answer:
6 hours
Step-by-step explanation:
First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.
You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.
You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours
Circle A is missing, so i have attached it.
Answer:
∠XYZ = 35°
Step-by-step explanation:
We want to find the angle ∠XYZ in the image attached.
To solve that, we will use the formula in the theorem for angle formed by secants or tangents. Thus;
∠XYZ = ½(arc WZ - arc XZ)
From the image, arc WZ = 175° and arc XZ = 105°
Thus;
∠XYZ = ½(175 - 105)
∠XYZ = ½(70)
∠XYZ = 35°
4x(3x²+5y) expand by distributing terms
4x*3x²+4x*5y take out the constants
(4*3)xx²+4x*5y simplify 4*3 to 12
12xx²+4x*5y use product rule=xᵃxᵇ=xᵃ+ᵇ, and change the two variables (the x's) into ones, because if there is just one variable with no number by it, then it is a one.
12x¹⁺²+4x*5y and simplify 1+2 to 3.
12x³+4x*5y finally simplify 4x*5y to 20xy
12x³+20xy
Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Since we are rounding to the nearest inch, we want to look at the tenths place. The rule for rounding is 5 and up, we round up, 4 and below, stay. Since 3 is below 5, we stay. Therefore your answer should be 66 inches of precipitation. Hope this helps!
Answer:
The measurement of the central angle AOB is 45 degrees
Step-by-step explanation:
To solve this problem, we will have to work with fractions.
We will get the fraction of area the shaded portion is when compared to the whole garden.
First of all, we will need to calculate the area of the garden which is 
in this case, our radius is 8 inches.
Next, we will compare the area of the sector to the area of the garden. This will be
This will be the shaded area/ area of the whole garden
= 

We will now convert this ratio to an angle by multiplying it by 360 degrees.
This will be:

The measurement of the central angle AOB is 45 degrees