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2 years ago

HELP DUE IN 30 MINS!

Mathematics

2 answers:

qaws [65]2 years ago

6 0

Answer:

relationship between base and perpendicular is given by tan angle

tan angle = perpendicular/base

tan angle =21/41

angle =tan -¹(21/41)=27

Bond [772]2 years ago

3 0

Answer:

Step-by-step explanation:

In a right angle triangle, the tan is defined as opposite side / adjacent side of the reference angle

The reference angle is ?

The opposite side is 21

The adjacent side is 41

Tan(?) = 21/41

Tan(?) = 0.5122

? = tan-1(0.5122)

? = 27.12 rounded to the nearest degree = 27

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svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

A completes $\dfrac{1}{x-5}$ of all work;
B completes $\dfrac{1}{x}$ of all work.

Hence, in 1 day both A and B complete $\dfrac{1}{x-5}+\dfrac{1}{x}$ of all work. A and B working together can do a work in 6 days. Then

$6\cdot \left(\dfrac{1}{x-5}+\dfrac{1}{x}\right)=1.$

Solve this equation:

$\dfrac{6x+6x-30}{x(x-5)}=1,\\ \\12x-30=x^2-5x,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169=13^2,\\ \\x_{1,2}=\dfrac{17\pm 13}{2}=2,\ 15.$

If $x=2,$ then $x-5=-3$ that is impossible. So, B needs 15 days to complete the work alone.

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2 years ago

After how many months will Rita pay two hundred dollars in simple annual interest on a credit card that charges twelve percent o

alexandr1967 [171]

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2 years ago

2 · 32 + (3 · 2)2. i need the answer

vfiekz [6]

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2 years ago

You attend a wedding and are second in line to get a slice of wedding cake. there are 3 slices of vanilla cake, 12 slices of cho

Dima020 [189]

Answer:

1/14

Step-by-step explanation:

Let A represent the event First person getting red velvet cake
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1 year ago