The answer would be -4 because when you add a positive and a negative it’s like subtracting.
Answer:
- INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>
5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.
The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
Step-by-step explanation:
- INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>
5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.
The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
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!
Answer:
Following the rule of BIDMAS
we will solve the one inside the bracket first, Addition will be solved before subtraction
i.e ( 5+4-2) x ( - 2)
= ( 9-2) x (-2)
= 7 x -2
= - 14
Step-by-step explanation:
the height of the prism is 12 centimeters