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1 answer:
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Answer:
Part a) The raisins cost $0.8 per ounce
Part b) 1.25 ounces
Step-by-step explanation:
<u><em>The correct question is</em></u>
Jackson bought 5 ounces of raisins for $4 dollars.
a) How much do raisins cost per ounce?
b) How many ounces of raisins can be bought for $1?
Part a) How much do raisins cost per ounce?
we know that
To find out the unit rate divide the total cost by the total weight
so
therefore
The raisins cost $0.8 per ounce
Part b) How many ounces of raisins can be bought for $1?
we know that
The raisins cost $0.8 per ounce
using proportion
Find out how many ounces of raisins can be bought for $1
Let
x -----> the ounces of raisins
Answer:
- m∠A ≈ 53.13°
- m∠B ≈ 73.74°
- m∠C ≈ 53.13°
Step-by-step explanation:
An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.
Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.
m∠A = m∠C ≈ 53.13°
m∠B ≈ 73.74°
_____
The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:
Cos = Adjacent/Hypotenuse
If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.
A diagram does not have to be sophisticated to be useful.
