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dimulka [17.4K]
3 years ago
7

Mrs. Nava needs 9 1/2 quarts of ice cream to make a dessert to be served at her daughter's birthday party. The flavor of ice cre

am that Mrs. Nava needs only comes in I-gallon containers. How many I-gallon containers of ice cream will Mrs. Nava need to purchase in order to have at least 9 1/2 quarts of ice cream and as little left over as possible?
Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
3 containers don’t mind the rest hdnfjdjdkskhsbsbxhxbdbdhdhdbdbd
xz_007 [3.2K]3 years ago
5 0

Answer:

3 containers

Step-by-step explanation:

1 gallon = 4 quarts

2 containers is 8 quarts, that is too little

3 containers is 12 quarts

therefore Mrs. Nava needs 3 containers to have enough ice cream

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A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners
Vlada [557]

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

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