O PERCENTS

Mathematics

1 answer:

Sedbober [7]2 years ago

3 0

Answer:

Commission rate = 15%

Step-by-step explanation:

Given that:

Amount of merchandise sold = $2700

Commission earned = $405

We can find the commission rate by dividing the commission with total sales and multiplying it with 100.

Commission rate = $\frac{Commission}{Total\ sales}*100$

Commission rate = $\frac{405}{2700}*100$

Commission rate = 0.15 * 100

Commission rate = 15%

Hence,

Commission rate = 15%

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A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle's largest angle?

Rama09 [41]

1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

a^{2}=b ^{2}+c ^{2}-2bc(cosA)

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA) 150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°,

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc

6 0

3 years ago

Read 2 more answers

Help pleaseee Im trying to get an A in class

likoan [24]

Answer:

191

Step-by-step explanation:

Sorry it's sideways. I drew a box chart for this. First, fill in what you know: the number of white and black beads Ally has. Then, calculate how many black beads Betty has (Ally's number, 59, minus 35.) 59-35 = 24.

They tell you the total number of beads is 346. Add up Ally's total to get 131, then subtract that from 346. That's Betty's total beads, 215.

Last, subtract the 24 black beads Betty has from the 215 total to get 191.