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Lisa [10]
1 year ago
5

Factor completely.

Mathematics
1 answer:
VARVARA [1.3K]1 year ago
3 0
Is this the whole problem????
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In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all the possible values of the combined weights of the k
Dima020 [189]

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

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We can multiply both sides of the inequality by 7 to determine the total weights

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Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"

6 0
3 years ago
Use the Law of Cosines to find the missing angle. In triangle JKL, j=3in., k=4in., and l=2.89., find mJ
slega [8]
Using the law of cosine for Triangle KJL, we can write:

j^{2} = k^{2} + l^{2}-2(k)(l)cos(J)  \\  \\ &#10;2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\  \\ &#10;cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}

Using the values of k,j and l, we can write:

cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)}  \\  \\ &#10;cos(J)= 0.664 \\  \\ &#10;J= cos^{-1}(0.664) \\  \\ &#10;J=48.39

Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
8 0
2 years ago
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