We can convert 7/10 to a decimal first.
7/10 = 0.7
Now we can multiply this problem easier.
35 x 0.7 = 24.5
Answer:
13
Step-by-step explanation:
a = 5
b = -8
5 - -8 = 13
Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
The slope is (4,3). You look at the y intercept (where the y axis is crossed by the line) and simply count rise over run until you reach the next point. The next point from the y intercept (-2,0) is (2,3).
-2+4=2
0+3=3
And there you go. In fraction form it’s 4/3.
Hope this helped!
The mode is defined as the number that appears most within a given sequence.
The median is the middle number of a given sequence listed from least to greatest.
Let's look for the mode.
We have:
4
5
7
8
9, 9
10.
9 appears the most, so the mode is 9.
Let's find the median now.
4, 5, 7, 8, 9, 9, 10.
Cross out the smallest number with the largest number until we can no longer do so.
5, 7, 8, 9, 9.
7, 8, 9.
8.
Your median is 8.
Your mode is 9.
I hope this helps!
