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Sophie [7]
3 years ago
13

The Tigers, a football team, must gain 10 yards in the next four plays to keep possession of the ball. The Tigers lose 24 yards,

gain 4 yards, and lose 10 yards. How many yards do they need to keep possession?
40
20
-20
-8
Mathematics
1 answer:
Nikolay [14]3 years ago
7 0

Answer:

<h3>B. The must gain 20 yards to keep possession</h3>

Step-by-step explanation:

Let the number of yards gained be positive

Let the number of yards lost be negative

Since the total that must be gained in the next four games is 10, hence the total is +10

If The Tigers lose 24 yards, gain 4 yards, and lose 10 yards in the first three rounds with x being the number of yards in the fourth round, this is expressed as;

-24 + 4 - 10 + x = 10

-20 - 10 + x = 10

-30 + x = -10

x = -10 + 30

x = 20

Hence they need 20 yards in the last round to keep possession

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ABC with altitude \overline{BD}
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The length of \overline{AC} is given by the relationship between the similar triangles

ΔABD and ΔBDC.

  • \overline{AC} = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = \overline {BD}

The hypotenuse of formed right triangle = \overline {AC}

The length of AD = 8

Length of BD = 24

Whereby  ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

\displaystyle \frac{\overline{AD}}{\overline{BD}}  = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}

Which gives;

\overline{BD}^2 = \mathbf{\overline{DC} \times \overline{AD}}

Therefore;

\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}

\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}

\overline{AC} = \overline{DC} + \overline{AD}

Which gives;

\overline{AC} = 72 + 8 =\mathbf{ 80}

Learn more about similar triangles here:

brainly.com/question/4618367

8 0
2 years ago
Past experience at the Pasadena Travel Agency indicated that 44% of those persons who wanted the agency to plan a vacation for t
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Answer: Yes. There there been a significant shift upward in the percentage of persons who want to go to Asia.

Step-by-step explanation:

From the information given in the question, past experience at the Pasadena Travel Agency shows that 44% of people who came to plan a vacation with the agency wanted to go to Asia.

During the most recent busy season, a sampling of 1,000 plans was selected at random from the files. It was found that 480 persons wanted to go to Asia on vacation. The percentage of people who want to go to Asia now will be:

= 480/1000 × 100

= 48%

Therefore, there has been a significant shift upward in the percentage of persons who want to go to Asia.

8 0
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Answer:

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Step-by-step explanation:

6 0
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Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

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We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

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The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

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