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9966 [12]
2 years ago
10

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t) = 2,280 - 60t can be us

ed to
represent their distance, in miles, from home after t hours of driving. What is the value of t when D(t) = 1,200? What does that value
represent?
A t = 20; the Chang family has been driving for 20 hours
B. t = 20; the Chang family has 20 hours more to drive to get home
C. t = 18; the Chang family has been driving for 18 hours
D. t = 18; the Chang family has 18 hours more to drive to get home
Mathematics
1 answer:
nordsb [41]2 years ago
7 0

Answer:

C

Step-by-step explanation:

I took the test and got it correct.

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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
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Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
2 years ago
Julia is planning to attend the same private four-year college her parents attended. She wants to save at least $18,000 in four
Inga [223]

Answer:

c.

d.

e.

Step-by-step explanation:

8 0
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a five foot boy casts a 2 foot shadow. At the same time the shadow of the court house tower is 25 feet in length. How tall is th
erastovalidia [21]

Answer:

The court house tower should be 51 feet tall.

Step-by-step explanation:

2.5+2.5=5 feet because 2+2=4 and 0.5+0.5=1. 4+1=5

25.5+25.5=51 because 25+25=50 and 0.5+0.5=1. 50+1=51

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Simplify 6xy - 20y + 7z - 8x + 25y - 11z
ololo11 [35]

Answer:

6xy - 8x + 5y - 4z

Step-by-step explanation:

6xy - 20y + 7z - 8x + 25y - 11z

Group the ones with the variable first to make an equation:

6xy - 8x - 20y + 25y + 7z - 11z

Solve the equation

6xy - 8x +5y - 4z

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