A half times a half is a quarter. You can think of it this way: 1/2 is equivalent to 0.5, so you do 0.5 times 0.5 which is 0.25.(answer)
Answer:
(a) 180°
(b) 180°
(c) substitution property
(d) m∠3
(e) ∠3
Step-by-step explanation:
Definition: Two angles are supplementary if they add up to 180°
Proof:
By definition of supplementary angles, m∠1 + m∠2 = 180° (a) {∠1 and ∠2 are supplementary - given}
and m∠2 + m∠3 = 180° (b) {∠2 and ∠3 are supplementary - given}
Then, m∠1 + m∠2 = m∠2 + m∠3 by the substitution property (c)
Subtract m∠2 from each side. You get m∠1 = m∠3 (d)
or ∠1 ≅ ∠3 (e)
Answer:
88%
Step-by-step explanation:
From the question given above, the following data were obtained:
Original amount = $ 90
Discounted amount = $ 79.20
Percentage of discount =?
Let the percentage of discount be y %
Thus, we can obtain the value of y as follow:
y /100 × 90 = 79.20
90y /100 = 79.20
Cross multiply
90y = 100 × 79.20
90y = 7920
Divide both side by 90
y = 7920/90
y = 88
Thus, the percentage discount of the blender is 88%
The value of cos(A+B) is 36/325.
<h3>What is Trigonometry?</h3>
The branch of mathematics concerned with specific functions of angles and their application to calculations.
Given:
cos(A)=−5/13
sin(B)=7/25
Now Using identity,
sin²A + cos² A= 1
sin A= √1 - cos² A
sin A = √1- 25/169
sin A= √144/169
sin A= 12/13
Again,
sin²B + cos² B= 1
cos B= √1 - sin² B
cos B = √1- 49/625
cos B= √576/625
cos B= -24/25
Now,
cos (A +B) = cos A cos B - sin A sin B.
= -5/13* (-24/25) - 12/13* 7/25
= 120/325 - 84/325
= 36/325
Hence, the value of cos (A + B) is 36/325.
Learn more about this concept here:
brainly.com/question/17056960
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