How many 6-ounces cups can be filled from 4 gallons of juice

List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

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So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

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Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0

3 years ago

Can anybody help out this math question it’s about graph please

malfutka [58]

Neither one of the slopes are going to be minus. It means you are travelling backwards in time, which is wonderful if you are a sci-fi fan, but not so good if you are Sharon. A and D has Sharon going from 70 to 0. That can't be happening so both are wrong.

Now you have to decide between B and C. The intersection point has Sharon going upwards until she is 20. She started out at 70. The graph has John starting at 70. That's not right.

So we've eliminated A,D and now C.

The answer must be B. They meet when Sharon is 90 and John is about 22.5 which is what it should be.

6 0

3 years ago

Three angles of a quadrilateral are 75,120, 90,then the fourth angle..

Roman55 [17]

Answer:

75

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Geometry

Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Add: 285 + ∠4 = 360
[Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75

5 0

3 years ago

In how many ways can 7 students be seated at 7 desks?

SCORPION-xisa [38]

If I'm not wrong I believe it would be 343 different ways.

7 0

3 years ago

Read 2 more answers

US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data

Nonamiya [84]

Answer:

we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974

it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = $\frac{S_{xy} }{S_{xx} }$ = 0.2871

and ∝ = y - βx = - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871. and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it can be concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient ( r ) = $\frac{S_{xy} }{\sqrt{S_{xx}*S_{xy} } }$ = 0.8394

5 0

3 years ago