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2 years ago

Harold, Clara, and Mark each chose a different lunch from three categories:

Mathematics

1 answer:

Yanka [14]2 years ago

8 0

Answer:

a) Harold

b) Clara

Step-by-step explanation:

Each person has chose a different lunch. Based on this context, it means no one can have the same lunch item.

A explanation)

Mark must eat soup since he doesn't eat bread (sandwich) or salads.
Clara must eat salad since Mark is eating the soup and Clara doesn't eat sandwiches.
Therefore, Harold must eat the only different lunch item; sandwich. Since Harold had the sandwich, he also has the milk.

B explanation)

The person who had soup had iced tea; meaning Mark drank Iced Tea.
The person who had the sandwich also had the milk; Harold drank milk.
The only person missing a drink is Clara, so she ordered mineral water.

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Answer:

B. 8 ft

Step-by-step explanation:

The area of the rectangle is ...

A = LW = (16 ft)(4 ft) = 64 ft²

The area of the square in terms of its side length is ...

A = s²

For the square to have the area of the rectangle, its side length must be ...

64 ft² = s²

s = √(64 ft²) = 8 ft

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2 years ago

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3. Jen’s parents buy a tablet for her to use in school. Of the $1500 cost, her parents expect her to pay back $1000 one year lat

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Using the formula for calculating simple interest as shown;

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Time = 1year

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2 years ago

What is the focus of the parabola? <img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E%7B2%7D%20-x%2B3" id="Te

OlgaM077 [116]

We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)

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2 years ago

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