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ELEN [110]
3 years ago
5

The formula for the atrapezoid is Ah bi b2). Express bi in number of feet inarea of terms the of a trapezoid is 60 square feet,

its height is 6 ft, and one base is 12 Find other base.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0
Area = 1/2h(b1 + b2)

60 = 1/2(6)(b1 +12)
60 = 3(b1 +12)
60 = 3b1 + 36
24 = 3b1
24/3 = b1

b1 = 8

The other base is 8 feet
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Archimedes drained the water in his tub. 62.562.562, point, 5 liters of water were drained each minute, and the tub was complete
erma4kov [3.2K]

Answer:

500 liters

Step-by-step explanation:

We want to find the total amount of water that was drained.

He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:

62.5 * 8 = 500 liters of water

7 0
3 years ago
I need helppp soo like yeah
Verizon [17]

Answer:

x = 30°

Step-by-step explanation:

Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°

The sum of the 3 angles in a triangle = 180°, then

x = 180° - (75 + 75)° = 180° - 150° = 30°

5 0
3 years ago
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The
stepladder [879]

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

8 0
3 years ago
The minimum distance between two fence posts is 4 feet. The maximum distance is 10 feet. A. Represent these two distances on a n
dybincka [34]

Answer:

Part A) The number line in the attached figure

Part B) The absolute value equation is  \left|x-7\right|=3

Step-by-step explanation:    

Part A) Represent these two distances on a number line

we know that

The minimum distance between two fence posts is 4 feet, and the maximum distance is 10 feet

Let

x ----> the distance between the two fence post

so

4\leq x \leq 10

The interval is -------> [4,10]

using a graphing tool

see the attached figure

In a number line the solution is the shaded area at right of x=4 (close circle) and at the left of x=10 (close circle)

Part B) Write an absolute value equation that represents the minimum and maximum distances

Find the midpoint of the interval [4,10]

M=(\frac{x1+x2}{2})

substitute the values

M=(\frac{4+10}{2})

M=(7)

The distance from the midpoint to the endpoints of the interval is 3 feet

so

The absolute value equation is

\left|x-7\right|=3

<em>Verify</em>

<u>Solve the absolute value</u>

case 1) positive value

+(x-7)=3

Solve for x

x=7+3=10\ ft ----> maximum distance

case 2) negative value

-(x-7)=3

Solve for x

-x+7=3

x=7-3=4\ ft ----> minimum distance

3 0
3 years ago
Work out the formula for the nth term of the<br> quadratic sequence:<br> 19, 15, 9, 1...
Leto [7]

Answer:

Tn = -n^2 - n + 21 is the formula for the nth term.

Step-by-step explanation:

The second differences are all equal in this quadratic sequence.

Now, the quadratic sequence has a formula of Tn = an^2 + bn + c

Find the value of a in an^2 by dividing the difference by 2:

-2/2 = -1

a = -1

Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:

b + c = 20

2b +  c = 19

Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21

5 0
3 years ago
Read 2 more answers
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