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3 years ago

Which of the following lengths could form a triangle? (A)34,40,83 (B)5,33,51 (C)19,31,50 (D)13,18,29

1 answer:

4 0

Let a, b and c

The lengths of triangle

The sum of two sides will always be larger than the other side.

Then,

| b - c | < a < b + c
| a - c | < b < a + c
| a - b | < c < a + b

To the question A)

a = 83

83 < 40 + 34

83 < 74

False!
____________

Letter B)

a = 51

51 < 33 + 5

False!
___________

Letter C)

a = 50

50 < 31 + 19

False!
____________

Now on the letter D)

a = 29

29 < 18 + 13

29 < 31

It is correct!

Then,

The letter D) would be the answer!

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A small coffee shop sells freshly squeezed juices in a refrigerated unit with slots where juice is displayed. These slots are ca

fgiga [73]

It should be noted that, according to the information provided, the single bar chart shows the projected proportion of sales based on the proportion of facings and the observed proportion.

Simply put, a bar chart is a bar graph. Rectangular bars that match the values shown are used to illustrate categorical data.

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The bar chart's information reveals that the observed proportions for juice, mango, orange, apple, and pineapple are greater than the expected proportions.

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8 0

9 months ago

Estimate 58% of 112 using benchmark percents. Explain your answer.

vitfil [10]

Answer:

64.96

Step-by-step explanation:

The most common benchmark percents are $0\% , 10\% , 25\% , 50\% , 75\%$ and $100\%$

We are given $58\%$ which is closest to $50\%$ .

Now we calculate $50\% \ of \ 112$ which is equal to $56$ .

We are left with $8\%$ more to add.

We can say $1\% \ of \ 112 \ is\ 1.12$

Therefore $8\% \ of \ 112 \ would \ be \ 1.12\times8=8.96$

Now add the two.

$56+8.96= 64.96$

Thus 64.96 is the answer.

3 0

2 years ago

Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50

Vladimir [108]

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or $\frac{5}{6}$ hours from Detroit to Ann Arbor.

By the formula,

Speed = $\frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}$

Speed = $\frac{40}{\frac{5}{6}}$

= 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = $\frac{d}{t}$

d = 48t

7 0

3 years ago

If 30% of John's photographs were perfect, but 210 photographs were not perfect, then how many photographs were there in all?

anyanavicka [17]

If 30% were perfect, 70% were not perfect. So we know that 70% of the total number of photographs is 210.

p(70/100)=210 multiply both sides by 100

70p=21000 divide both sides by 70

p=300

So there are 300 photographs in all.

3 0

3 years ago

Martha earned a gross pay of $1,215,60 last week. Using the fact that Social Security tax is 6.7% of gross pay, determine the

scoray [572]

Answer:

c) $ 75.37

Step-by-step explanation:

The correct question is:

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the

amount of Social security tax deducted from Martha's gross pay

a $7.54

b. $65.37

c. $75.37

d. $75.40

ANSWER:

Martha's gross pay = $ 1,215.60

Social Security Tax = 6.2%

Calculate Social Security tax:

6.2% of 1,215.60

6.2/100 x 1,215.60 = $ 75.37

Therefore, the correct answer is option c: $ 75.37

6 0

3 years ago