It'll be at 11:11 when the hands form a obtuse angle.
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C =
Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have
to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to
substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80
+ 90).
The answer is: [B]: x <span>> -10
__________________________
Explanation:
___________
Given the inequality:
___________
</span>→ <span>x + 2 > - 8 ;
____________
</span>→ Subtract<span> "2" from EACH side; to isolate "x" on one side; and solve, or simplify, for "x" ;
_______________________
</span>→ x + 2 − 2 > - 8 − 2 ; to get:
_______________________
→ x > -10 ; which is: 'Answer choice: [B]'.
_______________________
The length of the square base is thus
= A
<h3>What is hemisphere?</h3>
Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.
EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.
Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.
OM/2 = 6/EP
OM = 6/EP x 2
OM = 
The length of the square base is thus
= A
To know more about Hemisphere, visit;
brainly.com/question/13625065?referrer=searchResults
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Answer: Third option.
Step-by-step explanation:
By definition, Rational Functions have the following form:

Where
and
are polynomials.
The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
In this case, you have the following Rational Function:

The Restrictions of the Domain can be found applying this steps:
- Make the denominator equal to 0:

- Solve for "x":

Then, the Domain of this function includes all "x" not equal to 2.
Therefore, the answer is: