Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
Answer:
sin(y)=15/17
cos(y)=8/17
tan(y)=15/8
Step-by-step explanation:
We know that sinФ=Opposite/Hypotenuse, cosФ=Adjacent/Hypotenuse, and tanФ=Opposite/Adjacent. We can remember this with the phrase SOH-CAH-TOA.
We know our angle is Y. The opposite side of Y is 15. The adjacent side of Y is 8. The hypothenuse is 17.
Now, we can plug the given information into the formulas and get the solutions.
sin(y)=15/17
cos(y)=8/17
tan(y)=15/8
Answer:
1/3
Step-by-step explanation:
total juice boxes = 8+12+4=24
8/24 = 1/3
First, found out how many coins are pennies and subtract that from the first 220. Note 40% is .40 times the amount
220 * .40 = 88 pennies
220 - 88 = 132 other coins
Of these remaining 132 coins 25% are quarters, so calculate this to find the answer:
132 * .25 = 33 quarters!