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2 years ago

Please, nobody answered it!!! :C

Mathematics

1 answer:

NemiM [27]2 years ago

5 0

Answer:

C. 59

Step-by-step explanation:

Hello There!

Remember the angles in a triangle add up to equal 180

So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180

So missing angle = 180 - 65 - 56

180 - 65 = 115

115 - 56 = 59

So we can conclude that the missing angle has a measure of 59 degrees

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Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.

marshall27 [118]

Answer:

<2 = 34degrees

Step-by-step explanation:

Find the diagram attached below:

First we need to get <1;

<1 + 74 = 180 (angle on a straight line)

<1 = 180 - 74

<1 = 106degrees

Also, <1 + <2 + 40 = 180 (sum of angle in a triangle)

106+<2 + 40 = 180

146 + <2 = 180

<2 = 180-146

<2 = 34degrees

3 0

2 years ago

Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins

bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, x relates to type-A and y to type-B.

Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:

60x + 80y ≤ 360

For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

60x + 80y ≤ 360

160x + 120y ≤ 680

Isolating x from the first equation:

x = $\frac{360 - 80y}{60}$

Substituing x into the second equation:

160( $\frac{360 - 80y}{60}$ ) + 120y = 680

-3200y+1800y = 10200 - 14400

1400y = 4200

y = 3

With y, find x:

x = $\frac{360 - 80y}{60}$

x = $\frac{360 - 80.3}{60}$

x = 2

To determine the cost:

cost = 42,000x + 51,000y

cost = 42000.2 + 51000.3

cost = 161400

To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

8 0

2 years ago

In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who fav

raketka [301]

c. 4.6

21 X .22= 4.6

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

4 0

3 years ago

What is the area of the two-dimensional cross section that is parallel to face ABC ?

Aleksandr-060686 [28]

Check the picture below.

6 0

3 years ago

A circle is inscribed in a square. Write and simplify an expression for the ratio of the area of the square to the area of the c

STALIN [3.7K]

Best Answer: So first we need both areas, then we can relate them, and then divide the circle by the square:

A(circle) = πr^2
A(square) = L*W or (2r)*(2r) which is (2r)^2

For the square, we know this is true because because the radius is half the diameter, so if we multiply the radius by 2, we get the length of one side of the square. We also know that the lengths of both sides of the square are the same by definition of a square.

Ratio: (πr^2)/(4r^2) = π/4

8 0

2 years ago