This picture shows a rectangle with length (3D+2)cm and width (d+5)cm.
————
| |
| |
| |3d+2
| |
| |
————
D+5
A) write an expression for the perimeter of the rectangle
B) given that the perimeter is 30cm, make and solve and equation for d.
C) find the area of this rectangle
Answers
9514 1404 393
Answer:
A) P = 8d +14
B) d = 2
C) 56 cm^2
Step-by-step explanation:
A) The perimeter is the sum of all of the side lengths.
P = 2(L +W)
P = 2((3d +2) +(d +5)) = 2(4d +7)
P = 8d +14
__
B) Using 30 for P, we have ...
30 = 8d +14
16 = 8d . . . . . . . subtract 14
2 = d . . . . . . . . . divide by 8
__
C) The side lengths are ...
3d +2 = 3(2) +2 = 8 . . . . cm
d+5 = 2+5 = 7 . . . . cm
Then the area is ...
A = LW
A = (8 cm)(7 cm) = 56 cm^2
The area of the rectangle is 56 square centimeters.
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Answer:
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Una parcela de forma cuadradra mide 1089km2 de superficie cuantos metros mide el lado de la parcela
Answers
Respuesta:
3.3 × 10⁴ m
Explicación paso a paso:
Paso 1: Información provista
Superficie de la parcela cuadrada (S): 1089 km²
Paso 2: Determinar la longitud del lado (l) de la parcela
Podemos determinar la superficie de un cuadrado usando la siguiente fórmula.
S = l²
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Paso 3: Convertir "l" a metros
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Given the function
y
=
(
−
6
+
x
−
6
x
2
)
(
−
9
−
9
x
)
,
y=(−6+x−6x
2
)(−9−9x), find
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y
d
x
dx
dy
in any form.
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Answer:
y=6+2x
Step-by-step explanation:
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What is the potential energy of a 500kg elevator that is 4.0m high from the floor?
Answers
Answer:
19,600 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
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An actor, Bob, wants to gain weight to look the part for his role as an overweight truck driver in an upcoming movie. He decides to add servings of banana splits (S) and bacon rolls (B) to his diet. Each serving of S is 1,000 calories and each serving of B is 500 calories. Bob has a history of health problems and his doctor has recommended that he needs to control his cholesterol and sugar levels in his food intake. Each serving of S contains 1 unit of cholesterol and 3 units of sugar. Each serving of B contains 4 units of cholesterol and 1 units of sugar. His doctor recommends that his cholesterol be no larger than 10 units and his sugar levels should be at least 2 units and no larger than 9 units. What should be the objective function (C) to select the optimal choice of Sand B in order for Bob to ingest as many calories as possible? A. C = 105 + 5B B. C = 1000S + 500B C. C = S+BD. None of the above
Answers
Answer:
[tex]C = 1000S + 500B[/tex]
Step-by-step explanation:
Given
[tex]S = Banana\ Splits[/tex]
[tex]B=Bacon\ Rolls[/tex]
Reading through the question, we have:
Number of calories per serving:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Let
[tex]x = Cholesterol[/tex]
[tex]y =Sugar[/tex]
So, we have:
Each serving of S
[tex]x \to 1S[/tex]
[tex]y \to 3S[/tex]
Each serving of B
[tex]x \to 4B[/tex]
[tex]y \to 1B[/tex]
Recommendation
[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol
[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar
So, the constraints are:
[tex]S + 4B \le 10[/tex]
[tex]3S + B \ge 2[/tex]
[tex]3S + B \le 9[/tex]
Recall that the calories per serving is:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Hence, the objective function is:
[tex]C = 1000S + 500B[/tex]
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Answer:
17.5
Step-by-step explanation:
[tex]15^{2}+9^{2}= 306\\[/tex]
[tex]\sqrt{306} = 17.5[/tex]
Answer:
x ≈ 17.5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
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Step-by-step explanation:
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=880-544
=346
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Step-by-step explanation:
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880-544=336
Why are Cells Important
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Answer:
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Step-by-step explanation:
Hopes this help.
!!!!!!NEED HELP ASAP BRAINLIEST REWARD!!!!!!
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solution is in attachment
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To find her total after the discount, we subtract the discount from the total purchase amount -
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Answer:
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Answer:
47 people
Explanation:
58 - 6 + 4 -16 + 7 = 47
