1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kap26 [50]
3 years ago
12

Find sin A and sec B given a=2 b=11

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

\sin A=\dfrac{2}{5\sqrt5}

\sec B=\dfrac{5\sqrt5}{11}

Step-by-step explanation:

Given: a=2,b=11

Using pythagoreous theorem:

c^2=a^2+b^2

c^2=11^2+2^2

c=5\sqrt{5}

Trigonometric Identities:

\sin \theta=\dfrac{\text{Opposite}}{\text{Hypotenuse}}

\sin A=\dfrac{a}{c}

\sin A=\dfrac{2}{5\sqrt5}

\sec B=\dfrac{c}{b}

\sec B=\dfrac{5\sqrt5}{11}

Hence, The value of trigonometric identity

\sin A=\dfrac{2}{5\sqrt5}

\sec B=\dfrac{5\sqrt5}{11}

Sonbull [250]3 years ago
7 0
If there is a triangle with Sid a and b then sina b/✓a2+b2and seven=✓a2+b2/a
You might be interested in
A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circula
Feliz [49]
The probability of it landing in the shaded area is 4/10, or 2/5 simplified, or 40%. Hope this helps! <3
7 0
3 years ago
Read 2 more answers
Jennifer earned $1000 babysitting over the summer. She spent $250 of her earnings on new clothes. What percent of her earnings d
emmainna [20.7K]

Answer:

25%

Step-by-step explanation:

she earned $1,000

she spent $250

250/1000 = 0.25

0.25 x 100 = 25%

4 0
2 years ago
Read 2 more answers
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t
sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be  4180 AED

6 0
3 years ago
The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

2x + 6 + 6x = 46

8x + 6 = 46

Subtract 6 from both sides

8x + 6 - 6 = 46 - 6

8x = 40

x = 40/8

x = 5

Hence, the number is 5

3 0
3 years ago
Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig
Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3466, \sigma = 546

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2500 - 3466}{546}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384

3.84% probability that it has a low birth weight

3 0
3 years ago
Other questions:
  • Give the coordinates of the point located halfway between (2,1) and (2,4)
    12·1 answer
  • Write the following equation in the general form Ax + By + C = 0. 1/2y - 1/3x - 1 = 0
    12·1 answer
  • 1) What is the value of the expression<br><img src="https://tex.z-dn.net/?f=4%20%2B%20%20%7B8%7D%5E%7B3%7D%20%20%2B%203%289%20%2
    12·1 answer
  • Determine the slope of the line that passes through the points (-5, -4) and (0, 10).
    5·2 answers
  • What is the measures of each interior angle of a regular hexagon?
    11·1 answer
  • A month of the year is chosen at random. What is the probability that it has 31 days
    9·2 answers
  • If my girl say she wants 11 inches but i only have 2 how many more inches do i need
    14·2 answers
  • PLS HELP!!
    5·2 answers
  • Use a real number to represent the situation.<br> The temperature falls 14°F.
    9·1 answer
  • A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!