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4 years ago

The production constraints for a toy car and truck company are given by the equations and graph of the system of inequalities.

Mathematics

2 answers:

grigory [225]4 years ago

8 0

The answer to this question will be C

Aliun [14]4 years ago

4 0

The answer would be 50

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The curved part of this figure is a semicircle.

Nitella [24]

Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

$d = \sqrt{3^2 + 8^2}$

$d \approx 8.544$

The radius is half the diameter.

$r = \dfrac{d}{2} = \dfrac{8.544}{2} = 4.272$

The total area is the area of the triangle plus the area of the semicircle.

$A = \dfrac{bh}{2} + \dfrac{\pi r^2}{2}$

$A = \dfrac{3 \times 8}{2} + \dfrac{\pi \times 4.272^2}{2}$

$A = 12 + 9.125 \pi$ $units^2$

3 0

3 years ago

Find the cost of kg of apples and the cost of an orange using simultaneous equations method:

PtichkaEL [24]

Cost of kg of apples = £1.08
cost of an orange = £0.12
hi, the solution is in the pic below. sorry for the messy working!

6 0

3 years ago

U.S. postal regulations require that a package can have a maximum combined length and girth (distance around) of 108 in. A shipp

Eduardwww [97]

Answer: The maximum length that can be used is 56 inches.

Step-by-step explanation:

Since we have given that

Width of package = 14 inch

Height of package = 12 inch

Let the length of package be 'l'.

Combined length and girth i.e. distance around = 108 inches.

So, According to question, we get that

$l+2(w+h)=108\\\\l+2(14+12)=108\\\\l+2\times 26=108\\\\l+52=108\\\\l=108-52\\\\l=56\ inches$

Hence, the maximum length that can be used is 56 inches.

4 0

3 years ago

Identiffy the degree of the polynomail 8x3y2 - 10x + 4x2y2+3

Karo-lina-s [1.5K]

$8x^3y^2-10xy+4x^2y^2+3$
If this is what you mean then the degree of the polynomial would be 3 since 3 is the highest exponent of all the terms.

7 0

3 years ago

The Oakville High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per r

GalinKa [24]

Let, number of solid color gift sold is x and printed gift wrap is y.

Also, number of printed paper sold , 325.

Expressing, it in mathematical equation :

y = 325 ....... 1)

Also, The band needs to earn $2,500 for an upcoming competition.

So ,

3.5x + 5y = 2500 ....... 2)

Solving equation 1 and 2 :

3.5x + 5(325) = 2500

3.5x = 2500 - 1625

3.5x = 875

x = 250

Therefore, number of solid paper they must sell is 250.

Hence, this is the required solution.

5 0

4 years ago