Answer:
11
Step-by-step explanation:
x+y=8 y=3
x+3=8
-3 -3
x=11
The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is
the Pythagoras theorem?</h3>
(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,
Therefore the ratios of sin x° and cos y° are 15/8.
To learn more about the trigonometric function visit:
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Answer:
Chad had 15 dollars left for gift C.
Step-by-step explanation:
Given:
Chad had total amount = 30 dollars.
Amount spend on gift A = 9 dollars.
Amount spend on gift B = 6 dollars.
To Find:
Amount Left for gift C = ?
Solution:
Total Amount = 30 dollars.
Total number of gifts = 3 i .e Gift A, Gift B , Gift C.
Total amount spend for Gift A and Gift B = Amount spend on gift A + Amount spend on gift B
∴ Total amount spend for Gift A and Gift B = 9 + 6
∴ Total amount spend for Gift A and Gift B = 15 dollars.
Now,
Amount Left for Gift C = Total Amount - Total amount spend for Gift A and Gift B.
∴ Amount Left for Gift C = 30 - 15
∴ Amount Left for Gift C = 15 dollars
Answer:
-24a² - 42a - 28
Simplified form = 12a² + 21a + 14
Step-by-step explanation:
-4(7 + 3a) - 6a(4a - 5) (distribute -4)
-28 - 12a -6a(4a - 5) (distribute -6a)
-28 - 12a -24a² - 30a (collect like terms)
-24a² - 42a - 28
We can simplify
-24a² - 42a - 28 (divide -2)
12a² + 21a + 14
Hope this helps ya! Keep smiling!
