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V125BC [204]
3 years ago
11

Can someone figure this out for me?

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer:

44°

Step-by-step explanation:

cos B = 0.7193  =  44°

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In ΔLMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of ∠M to the nearest degree.
DIA [1.3K]

Answer:

7

Step-by-step explanation:

\underline{\text{Solution Method 2:}}

Solution Method 2:

​

Use original formula

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

\text{Since we are finding }\angle M\text{,}

Since we are finding ∠M,

\text{plug in }2.3\text{ for side }a:

plug in 2.3 for side a:

Opposit the angle we want

2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M

2.3

2

=6.6

2

+8.7

2

−2(6.6)(8.7)cosM

Plug in values. Side "a" is opposite the wanted angle.

5.29 = 43.56+75.69-114.84\cos M

5.29=43.56+75.69−114.84cosM

Square sides.

5.29 =

5.29=

\,\,\color{white}{-} 119.25-114.84\cos M

−119.25−114.84cosM

Add.

-119.25=

−119.25=

\,\,-119.25

−119.25

-113.96=

−113.96=

\,\,-114.84\cos M

−114.84cosM

\frac{-113.96}{-114.84}=\cos M

−114.84

−113.96

​

=cosM

Divide to solve for cos(A).

M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}

M=cos

−1

(

−114.84

−113.96

​

)≈7.098≈7

∘

8 0
3 years ago
Read 2 more answers
A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
Kaylis [27]

Answer:

<u>There are:</u>

  • 6 red balls - R
  • 5 black balls - B
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<h3>A. Without replacement</h3>

i. <u>Two blacks </u>

  • P(BB) = 5/11*4/10 = 2/11

ii. <u>The first is black</u>

  • P(B) = 5/11

or, alternatively

  • P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>

i. <u>Two blacks </u>

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ii. <u>The first is black</u>

  • P(B) = 5/11

or alternatively

  • P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. <u>Both are of same colour</u>

  • P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121
7 0
3 years ago
Find the missing number in the proportion.
Soloha48 [4]

Answer: 7

Step-by-step explanation: Cross multiply, so 15 times x and 21 times 5. 21 times 5 is 105 then you divide by 15 which gives you 7.

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Does the table represent a linear or nonlinear function
Kipish [7]

Answer:

Non-Linear

Step-by-step explanation:

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Select the number that would make this statement true: 628 divided by 0.628
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The answer would be 10 to the third because if you divide that it would equal 1,000
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