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3 years ago

Please i need this ASAP! Thanks

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Answer:

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a₁ and the common difference of successive members is d, then the n-th term of the sequence (aₙ) is given by: aₙ=a₁+(n-1)d, and in general aₙ=aₘ+(n-m)d.

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The measure of the vertex angle of an isosceles triangle is one-fourth that of a base angle

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What are you supposed to find?

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3 years ago

I need to k ow how to do this

Ainat [17]

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Find all the missing elements : C=120degrees<br> b= 5<br> c=11

mezya [45]

Answer:

A = 36.8°

B = 23.2°

a = 7.6

Step-by-step explanation:

Given:

C = 120°

b = 5

c = 11

Required:

Find A, B, and a.

Solution:

✔️To find B, apply the Law of Sines

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

Plug in the values

$\frac{sin(B)}{5} = \frac{sin(120)}{11}$

Cross multiply

Sin(B)*11 = sin(120)*5

Divide both sides by 11

$sin(B) = \frac{sin(120)*5}{11}$

Sin(B) = 0.3936

B = $sin^{-1}(0.3936)$

B = 23.1786882° ≈ 23.2° (nearest tenth)

✔️Find A:

A = 180° - (B + C) (sum of triangle)

A = 180° - (23.2° + 120°)

A = 36.8°

✔️To find a, apply the Law of sines:

$\frac{sin(A)}{a} = \frac{sin(B)}{b}$

Plug in the values

$\frac{sin(36.8)}{a} = \frac{sin(23.2)}{5}$

Cross multiply

a*sin(23.2) = 5*sin(36.8)

Divide both sides by sin(23.2)

$a = \frac{5*sin(36.8)}{sin(23.2)$

a = 7.60294329 ≈ 7.6 (nearest tenth)

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3 years ago

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Ainat [17]

m<1+m<2=90

$\\ \sf\longmapsto 5y+32+7y-14=90$

$\\ \sf\longmapsto 12y+18=90$

$\\ \sf\longmapsto 12y=72$

$\\ \sf\longmapsto y=6$

m<2=7(6)-14=42-14=28[/tex]

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3 years ago

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