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3 years ago

Hich of the following sets of numbers could be the lengths of the sides of a triangle?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

4 0

Each side of a triangle has to be shorter than the sum of the other 2. The only possible answer is b: 3,5,7 (7<5+3)

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On Sunday, a local hamburger shop sold a combined of 572 hamburger and cheeseburger. The number of cheeseburgers sold was three

igor_vitrenko [27]

Answer: 143 hamburgers and 429 cheese burgers

Explanation:

Call h and c the number of both items.
(h-hamburger and c-cheeseburger)

h + c = 572
c = 3h

Sub the second into the first

h + 3h = 572
4h = 572

Divide both sides by 4
h = 143 hamburgers

Use this back into the second equation
c = 3 • 143 = 429 cheeseburgers

3 0

3 years ago

In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association a

RUDIKE [14]

Answer:

57.5

Step-by-step explanation:

The expected frequency of West Campus and Failed :

Let :

Failed = F

East Campus = C

West Campus = W

Passed = P

Frequency of FnW :

[(FnE) + (FnW) * (PnW) + (FnW)] / total samples

[(52 + 63) * (63 + 37)] / 200

[(115 * 100)] / 200

11500 / 200

= 57.5

n(Failed n East campus)

5 0

2 years ago

A city planner designs a park that is a quadrilateral with vertices at J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1). There is an e

Vadim26 [7]

use the eqn below to find the mid-pts

x-mid-pt = (x₁+x₂)/2

y-mid-pt = (y₁+y₂)/2

J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1)

midpoint JK = (-1+1/2, 1+3/2) = (0,2)

midpoint KL = (1+5/2, 3+⁻1/2) = (3,1)

midpoint LM = (5+⁻3/2, ⁻1+⁻1/2) = (1,-1)

midpoint MJ = (⁻3+⁻1/2, -1+1/2) = (-2,0)

use the eqn to find distance:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Distance between JK and LM = √(0⁻1)² + (2 - ⁻1)² = √1 + 9 = √10

Distance between JM and KL = √(3-⁻2)² + (1-0)² = √25 + 1 = √26

Scale is 10

Actual distance = 10*(√10 + √26) = 82.6 = 83 units

8 0

3 years ago

Read 2 more answers

It costs $3.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 160% of the cos

larisa [96]

Okay this is what i got it might be wrong but i did it and then looked it up to make sure i was right & it showed the same answer!!

3.55 * 1.6= 5.68!!

4 0

3 years ago

Read 2 more answers

Three vertices of a square have coordinates (5, 1), (2, -2), and (-1, 1). What are the coordinates of the fourth vertex?

Tresset [83]

Plot the points
we notice that the square is tilted diagnaol

remember that the legnths of the diagonals of a square are equal

therefor the distance between the points (5,1) and (-1,1) is the same as the ohter diagonal (distance is 6)

the other point is probably that disance up or the y vairable
(2,-2)+6 on the y
-2+6=4
(2,4)
answer is (2,4)

6 0

3 years ago