Answer:
d. 10.53 units
Step-by-step explanation:
This question could be answered by Pythagoras Theorem which is :
In every triangle c is always the hypotenuse ( which is the longest line in the triangle/ the line where the right angle sign is pointing to )
a or b could be either one of the other lines of the triangle it doesn't matter.
First you find AC which is simply by adding the two 5.2 values which is 10.4 units.
BC can be written as b in our Pythagoras equation and if you first substitute it you will have:
To find b you rearrange everything to the other side except b
And if you type that in the calculator you get
BC= 10.53 units (2 decimal place)
Hope it is right, and ask any questions if unsure :)))
<u>Given</u>:
Given that Jasmine rides her bike 9 miles in 50 minutes.
We need to determine the speed per hour.
<u>Time per hour:</u>
The time taken is 50 minutes. We need to convert minutes into hours.
Thus, we have;
Thus, the time taken to cover 9 miles is 
<u>Speed:</u>
The speed can be determined using the formula,
Substituting the values, we have;
Simplifying, we get;
Thus, Jasmine's speed is 10.8 miles per hour.
Answer:
The black triangle
Step-by-step explanation:
We can start by noticing that the pattern is repeating every five shapes.
So we know that The shape given every number divisible by 5 is going to be the white circle.
So the 5th shape, 10th shape, and 105th shape are examples of times there will be a white circle.
We can now see that 214 is almost divisible by 5, but -1. Let's imagine the number is 215 for a second. Then the position would be the white circle. Now what's right before the white circle? The black triangle.
The black triangle is in the position.
<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:
let X = retail price.
X - 0.30 </span>× X = Y ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z ⇒ second discounted price.
<span>
Z - 0.15*Z = T </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z = (1 - 0.15) × Z = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount
= 0.85 </span>× 0.75 × 0.70 × X
= 0.44625X<span>
30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
Answer:
The forumula for finding area of the circle is \pi r^2.
Step-by-step explanation:
Let's find the radius of the mug:
r=\frac{d}{2}=\frac{8}{2}=4
Now, we can to express the area of each cookie in terms of pi:
Area= \pi *4^2=16\pi
