Answer:
Step-by-step explanation:
The square in the middle has a length and width of 3, so multiply. <u>9</u>.
All of the triangles have a base of 3 and a height of 2. The area equation for triangles is
So base*height is 6. Divide that by 2 or multiply by 1/2.
You get 3. There are 4 triangles, so multiply <em>that</em> by 4. <u>12</u>.
Add 12 and 9 together, and you get:
I hope this helps!
Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that and
.
Thus:
Let's do the first part first: (Recall how to divide fractions)
For the second term:
So, all together: (same denominator; combine terms)
Note the numerator; it can be derived from the Pythagorean Identity:
Thus, we can substitute the numerator:
Everything simplifies to 1.
Answer:
It will take Josie 80 minutes to run 10 miles.
Step-by-step explanation:
We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!
We know that the ratio of 24:3 will be the same for any number of miles, so we can say
We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.
24/3 = 8
8 =
80 = x
It will take Josie 80 minutes to run 10 miles.