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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solution:
coefficient of determination = R^2 = .85 correlation coefficient, R = 0.92
Answer:
yyy us jbi
Step-by-step explanation:
mxn jbi us
Answer:
$0.42
Step-by-step explanation:
create a proportion:
13/.78 = 7/x
cross-multiply to get:
13x = 7(.78)
13x = 5.46
x = 5.46/13
x = .42
Answer:
Number of bagels = 10
Number of donuts = 25
Step-by-step explanation:
Let Number of bagels = b
Number of donuts = d
As given,
Each donut cost $0.55 and each bagel cost $1.20
⇒ Cost of d donuts = $0.55d
Cost of b bagels = $1.20b
Also given,
Jamian bought a total of 35 bagels and donuts
⇒ b + d = 35 ........(1)
Also,
He paid a total of $25.75.
⇒ 1.20b + 0.55d = 25.75 .........(2)
Now,
Multiply equation (1) by 1.20 , we get
1.20( b + d = 35 )
⇒1.20b + 1.20d = 42 ..........(3)
Now,
Subtract equation (2) from equation (3), we get
1.20b + 1.20d - ( 1.20b + 0.55d ) = 42 - 25.75
⇒1.20b + 1.20d - 1.20b - 0.55d = 16.25
⇒0.65d = 16.25
⇒d = 
= 25
⇒d = 25
Put the value of d in equation (1) , we get
b + d = 35
⇒b + 25 = 35
⇒b = 35 - 25 = 10
⇒b = 10
∴ we get
Number of bagels = b = 10
Number of donuts = d = 25
