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4 years ago

Which set of three side lengths will not form a triangle? A 17, 12, 6 B 25, 38, 13 C 36, 14, 27 D 39, 44, 6

1 answer:

3 0

The two shortest sides have to add up to be bigger than the longest side.

A. 17,12,6 6+12= 18 18>17 <- this is a triangle

B. 25,13,38 25+13= 38 38=38 <- this is NOT a triangle

C. 14,27,36 14+27= 41 41>36 <- this is a triangle

D. 39,44,6= 39+6= 45 45>44 <- this is a triangle

The answer is B. 

I hope this helps!
~kaikers

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M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of

lyudmila [28]

Answer:

A) 0.12. Yes. Choosing a green and blue M&M is possible

B) 0.43. Yes. Choosing a yellow and red M&M is possible

C) 0.78

Step-by-step explanation:

First of all, the summation of the distribution of all colours is;

Σ(all colors ) = 22% + 20% + 23% + 10% + 6% + 6% + 13% = 100%, or 1.

Thus;

a) P(green candy or blue candy) is;

P(GREEN ∪ BLUE) = P(G) + P(BL)

P(GREEN ∪ BLUE) = 6%+6%

P(GREEN ∪ BLUE) = 12% or 0.12

Now, due to the fact that we have to choose ONE candy and only ONE candy at random, then they are mutually exclusive: Yes. Choosing a green and blue M&M is possible

b)P(yellow candy or red candy is;

P(YELLOW ∪ RED) = P(Y) + P(R)

P(YELLOW ∪ RED) = 20% + 23% = 43% or 0.43

Yes. Choosing a yellow and red M&M is possible

c) P(NOT PURPLE)

the probability of having a purple is;

P(PURPLE) = 22% or 0.22

So, the Probability of NOT having a PURPLE is 1 - 0.22 = 0.78

4 0

3 years ago

What is -2x-10 + -37-4x ?

Mandarinka [93]

Answer: −6x−47

Step-by-step explanation:

Equation: −2x−10−37−4x

Step 1. Simplify the equation:

−2x+−10+−37+−4x

Step 2. Combine all like terms:

−2x+−10+−37+−4x

(−2x+−4x)+(−10+−37)

−6x+−47

Final Answer: −6x−47

Hope I could help! :)

7 0

3 years ago

DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures

Vesnalui [34]

Answer:

$\displaystyle EF \approx 15.9$

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

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cos28^\circ = \frac{x}{18}$
[Multiplication Property of Equality] Multiply 18 on both sides: $\displaystyle 18cos28^\circ = x$
Evaluate trig: $\displaystyle 18(0.882948) = x$
Multiply: $\displaystyle 15.8931 = x$
Rewrite: $\displaystyle EF = 15.8931$
Round: $\displaystyle EF \approx 15.9$