Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:

y=60+25sin(pi/6)t
The maximum value will occur when
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is
. So




That is the number of months after April 15, which is 3 months. So July 15.
Hello!
To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.
Before dividing, we need to convert the complex fraction into an improper fraction.
1 1/5 → 5 × 1 + 1 = 6/5
7 1/5 → 5 × 7 + 1 = 36/5
For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.
Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.
→
Therefore, the cookie factory made 6 batches of cookies yesterday.
7x^2-3x - (3x^2 +4x -5) multiply negative one across the entire second term
7x^2 - 3x -3x^2 -4x +5
4x^2 -7x +5
Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
___
Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
___
75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
The choices for this question is found elsewhere and as follows:
<span>A. 16/9
B. 4/3
C. 32/9
D. 64/27
</span>
From the choices, i think the correct answer from the choices listed above is option B since from the situation you are reducing the ratio. Hope this answers the question.