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3 years ago

Is area and radius the same thing

Mathematics

1 answer:

Igoryamba3 years ago

3 0

No , area is the surface area of a surface . It's unit is in cm square
radius is half of the diameter of a circle

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Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

sattari [20]

Answer:

Solutions: (2,10), (4,5)

Not solutions: (1,12), (6,10), (12,8), (18,6)

Step-by-step explanation:

Let x be the number of packages of pasta and y be the number of jars of pasta sauce. If pasta costs $1 for a 1-pound package, then x packages of pasta cost $x and weigh x pounds. If pasta sauce costs $3 for a 1.5 pound jar, then y jars cost $3y and weigh 1.5y pounds.

1. Tyler has $36, then

$x+3y\le 36.$

2. Tyler can carry up to 20 pounds of food in his backpack, then

$x+1.5y\le 20.$

You get the following system of inequalities:

$\left\{\begin{array}{l}x+3y\le 36\\ x+1.5y\le 20\end{array}\right.$

Now substitute the coordinates of each point:

(1,12):

$\left\{\begin{array}{l}1+3\cdot 12=37> 36\\ 1+1.5\cdot 12=19\le 20\end{array}\right.$

False, because first inequality doesn't hold.

(2,10):

$\left\{\begin{array}{l}2+3\cdot 10=32\le 36\\ 2+1.5\cdot 10=17\le 20\end{array}\right.$

True, both inequalities hold.

(4,5):

$\left\{\begin{array}{l}4+3\cdot 5=19\le 36\\ 4+1.5\cdot 5=11.5\le 20\end{array}\right.$

True, both inequalities hold.

(6,10):

$\left\{\begin{array}{l}6+3\cdot 10=36\le 36\\ 6+1.5\cdot 10=21> 20\end{array}\right.$

False, because secondt inequality doesn't hold.

(12,8):

$\left\{\begin{array}{l}12+3\cdot 8=36\le 36\\ 12+1.5\cdot 8=24> 20\end{array}\right.$

False, because second inequality doesn't hold.

(18,6):

$\left\{\begin{array}{l}18+3\cdot 6=36\le 36\\ 18+1.5\cdot 6=27> 20\end{array}\right.$

False, because second inequality doesn't hold.

7 0

3 years ago

Find the volume of the composite space figure to the nearest whole number.

Romashka [77]

Answer:

d. 944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

A = πr² . . . . . where r is the radius, half the diameter

The area of a circle with diameter 9 mm is ...

A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

The area of the rectangular portion of the end of the prism is the product of its width and height:

A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

base area = rectangle area + semicircle area

= (54 mm²) +(31.809 mm²) = 85.809 mm²

This base area multiplied by the 11 mm length of the prism gives its volume:

V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the composite figure is about 944 mm³.

7 0

3 years ago

How do you find the degree of a number without an exponent?? (56, x, etc.)

GaryK [48]

This is going to help you understand

ttps://www.mathsisfun.com/algebra/degree-expression.html

5 0

3 years ago

Given: ZBECis a right angle Prove: ZAEB and ZCED are complementary

MrRissso [65]

2x77}{x} theis way is the best answee

8 0

3 years ago

A rectangular tank is 76cm long ...50cm wide and 40cm high....how many litres of water can it hold

cricket20 [7]

Answer:152 litres
Steps:76cm×50cm×40cm
=152000cm³
Converting cm³ into litres
=152litres

3 0

2 years ago