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3 years ago

Please show workings.

Mathematics

1 answer:

Anon25 [30]3 years ago

3 0

9514 1404 393

Answer:

a) x≥5; y≥10; x+y≤30; 3x+y≤54

b) see attached

c) i. 14 buses; ii. 25 minibuses

Step-by-step explanation:

a. The given restrictions are ...

x ≥ 5 . . . . . . . . . minimum number of buses

y ≥ 10 . . . . . . . . minimum number of minibuses

x + y ≤ 30 . . . . .maximum number of vehicles

3x +y ≤ 54 . . . . maximum number of parking units

b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.

c. The second attachment shows the maximum numbers of each.

i. maximum buses: 14 (and 12 minibuses)

ii. maximum minibuses: 25 (and 5 buses)

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Only do 14 please help asap 65 points

anyanavicka [17]

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3 years ago

Theo, Nancy, and Mary each drove separately to meet at Approximately how

Step2247 [10]

Mary's house is approximately 49.73 miles from her grandmother's house.

The distances the three drove were;

Mary drove for 49.73 miles, Theo drove 50 miles and Nancy drove 53.299 miles.

Explanation:

The given triangle has a 13 mile long adjacent side, a 48 mile long opposite side and the distance of Mary's route is the hypotenuse. As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
Assume the hypotenuse of the triangle measures x miles. According to Pythagoras theorem, x = √(13² + 48²) , x = √169 + 2,304 x = √2,473 = 49.729. Rounding this off, we get Mary's route was 49.73 miles long.
Nancy drove √2,840 miles = 53.2916 miles.
So Mary drove the shortest distance of 49.73 miles, second shortest was Theo who drove for 50 miles and the longest was Nancy who drove for 53.299 miles.

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3 years ago

Read 2 more answers

Why would someone want to factor a polynomial? Provide real-world examples of different questions we can answer or factors we ca

IgorC [24]

Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors.

<u>Explanation:</u>

Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with. Factoring polynomials includes: Finding the greatest common factor.

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4 years ago

I'm not sure what AAS,SAS,SSS,ASA mean .how do I solve this?

notka56 [123]

Answer:

AAS is an acronym for Angle-Angle-Side. It basically means that if two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of a second triangle, then the two triangles are congruent. SAS is an acronym for Side-Angle-Side. It means that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SSS is an acronym for Side-Side-Side. It means that if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. ASA is an acronym for Angle-Side-Angle. It means that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

In the problem, we know that the corresponding sides of both triangles are congruent to each other, so those would be given. The third side of each triangle would also be congruent because of reflexive property. Reflexive property means that the two triangles share a line segment. So, the answer would be SSS.

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3 years ago

The diameter of a circle measures 10 yd. What is the circumference of the circle?

crimeas [40]

Answer:

31.4 yards

Step-by-step explanation:

Radius (R) = d / 2

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C = 31.4 yards

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4 years ago