The answer is: " 2291 units " .
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Explanation:
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Formula for "Area of a trapezoid" :
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Area = (1/2) * (base length 1 + base length 2) * height;
or: A = (1/2) * (b + B) * h.
We are missing the value for "b" one of the base lengths.
However, since: A = 68² (given) ; B (the other base length) = 21; and the perpendicular height, "h" = 4 ; we can plug this values into the formula, and solve for "b" ;
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A = (1/2) * (b + B) * h ; ↔ 68² = (1/2) * (b + 21) * 4 ;
↔ <span>4624 = 2 (b + 21) = 2b + 42 ;
</span> ↔ <span>4624 = 2b + 42 ;
</span> ↔ <span>2b + 42 = 4624 ;
Subtract "42" from each side of the equation:
2b + 42 - 42 = 4624 - 42 ;
to get: 2b = 4582 ;
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Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
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2b / 2 = 4582 / 2 ;
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to get: b = 2291 units.
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- One number is six more than a second number.
- four times the first is 10 less than 6 times the second.⠀⠀⠀⠀
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In questions given,One number is six more than a second number.
if second number is a
first number is a+6.
and,
four times the first is 10 less than 6 times the second.
So,
4×(a+6)=6a-10
we have to solve this.
we,get our second number =a=17.
So,
first number =a+6=17+6=23
Answer:
Step-by-step explanation:
Height doubles at every 30 seconds, so let's call n how many times it happens, and the t the total time:
n = t/30
If the height doubles one time, it is multiplied by 2, if it doubles 2 times, it's multiplied by 2², for n times, it is multiplied by 2ⁿ, so for an initial height equal to 3:
We need to determine the radius and diameter of the circle. If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,
A = 10 pi in^2 = pi*r^2. Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.
Thus, the diam. of the circle is 2sqrt(10) in. This diam. has the same length as does the hypotenuse of one of the triangles making up the square.
Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square. So, 4(10) in^2 = 2x^2. Then:
40 in^2 = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20). The area of the square is the square of this result:
Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer). Compare that to the 10 pi sq in area of the circle (31.42 in^2).
1 gallon = 4 quarts
1 quart = 32 ounces
1 gallon = 128 ounces
9 gallons = 1,152 ounces
Filling 8 ounce cups = 1,152 / 8 = 144 cups
