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
astraxan [27]
3 years ago
14

Given sin θ = 7/25, find the value of a and b in the following statements.

Mathematics
2 answers:
N76 [4]3 years ago
8 0

Answer:

sin θ = 7/25 so θ =16.26

So tan θ  = tan 16.26 = 7/24 = a/24 so a =7

sec θ = 1.17445580142 = 25/b so b = -21

Brainliest?

Sergeu [11.5K]3 years ago
3 0

Answer:

a = 7, b = 24 if quadrant 1

a = -7, b = -24 if quadrant 2

Step-by-step explanation:

Tan theta = sin(theta) × sec(theta)

a/24 = (7/25) × (25/b)

ab = 168

a = 168/b

1 + tan²(theta) = sec²(theta)

1 + a²/576 = 625/b²

1 + 168²/576b² = 625/b²

1 = 576/b²

b = 24 (+ or -)

a = 168/24 = 7 (+ or -)

You might be interested in
) All human blood can be typed as one of O, A, B, or AB. The distribution of the type varies a bit with race. For African-Americ
ivann1987 [24]

Answer:

The correct option is 1 - [(0.8)¹⁰+10*0.2*(0.8)⁹]= 0.6242

Step-by-step explanation:

Hello!

Given the distribution of probabilities for blood types for African-Americans:

O: 0.4

A: 0.2

B: 0.32

AB: 0.08

A random sample of 10 African-American is chosen, what is the probability that 2 or more of them have Type A blood?

Let X represent "Number of African-Americans with Type A blood in a sample of 10.

Then you have two possible outcomes,

"Success" the person selected has Type A blood, with an associated probability p= 0.2

"Failure" the selected person doesn't have Type A blood, with an associated probability q= 0.8

(You can calculate it as "1-p" or adding all associated probabilities of the remaining blood types: 0.4+0.32+0.08)

Considering, that there is a fixed number of trials n=10, with only two possible outcomes: success and failure. Each experimental unit is independent of the rest and the probability of success remains constant p=0.2, you can say that this variable has a Binomial distribution:

X~Bi(n;p)

You can symbolize the asked probability as:

P(X≥2)

This expression includes the probabilities: X=2, X=3, X=4, X=5, X=6, X=7, X=8, X=9, X=10

And it's equal to

1 - P(X<2)

Where only the probabilities of X=0 and X=1 are included.

There are two ways of calculating this probability:

1) Using the formula:

P(X)= \frac{n!}{(n-X)!X!} *p^{x} * q^{n-x}

With this formula, you can calculate the point probability for each value of X=x₀ ∀ x₀=1, 2, 3, 4, 5, 6, 7, 8, 9, 10

So to reach the asked probability you can:

a) Calculate all probabilities included in the expression and add them:

P(X≥2)= P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) + P(X=9) + X=10

b) Use the complement rule and calculate only two probabilities:

1 - P(X<2)= 1 - [P(X=0)+P(X=1)]

2) Using the tables of the binomial distribution.

These tables have the cumulative probabilities listed for n: P(X≤x₀)

Using the number of trials, the probability of success, and the expected value of X you can directly attain the corresponding cumulative probability without making any calculations.

>Since you are allowed to use the complement rule I'll show you how to calculate the probability using the formula:

P(X≥2) = 1 - P(X<2)= 1 - [P(X=0)+P(X=1)] ⇒

P(X=0)= \frac{10!}{(10-)0!0!} *0.2^{0} * 0.8^{10-0}= 0.1074

P(X=1)= \frac{10!}{(10-1)!1!} *0.2^{1} * 0.8^{10-1}= 0.2684

⇒ 1 - (0.1074+0.2684)= 0.6242

*-*

Using the table:

P(X≥2) = 1 - P(X<2)= 1 - P(X≤1)

You look in the corresponding table of n=10 p=0.2 for P(X≤1)= 0.3758

1 - P(X≤1)= 1 - 0.3758= 0.6242

*-*

Full text in attachment.

I hope it helps!

8 0
3 years ago
A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of
hram777 [196]

\sf\huge\underline{\star Solution:-}

\rightarrow <u>Ratio of two angles are 6:13.</u>

So, let the one angle be \sf{6x} and another be \sf{13x.}

As we know that,

Sum of all interior angles of a quadrilateral = \sf\pink{360°.}

So let's sum up the given angles,

\rightarrow \sf{222°+81°+6x+13x \:=\:  360°}

\rightarrow \sf{303+19x \:=\:  360°}

\rightarrow \sf{19x \:=\:  360-303}

\rightarrow \sf{19x \:=\:  57}

\rightarrow \sf{x \:=\:  \frac{19}{57}}

\rightarrow \sf{x \:=\:  3}

Hence, \sf{x \:=\:  3}

So, First angle \sf{= \:6x\: = \:6×3 \:=} \sf\purple{18°.}

Second angle \sf{= \:13x\: = \:13×3 \:=} \sf\purple{39°.}

_________________________________

Hope it helps you:)

3 0
2 years ago
What is the prime factorization of 325
Tasya [4]
The Prime Factorization of 325
Answer : 5^2 • 13
hope this helps!!!
8 0
3 years ago
Please need help on this one
tekilochka [14]
On which one do you need help with?
4 0
3 years ago
Are the following ratios proportional?<br><br> 5:8 and 25:40<br><br> a) Yes<br> b) No
Alenkasestr [34]

Answer:

a)yes

Step-by-step explanation:

5 times 5 is 25

8 times 5 is 40

5 0
3 years ago
Other questions:
  • The ratio of girls to boys in class is 9 to 7 and there are 80 students in the class. how many girls are in the class?
    8·1 answer
  • What is the equivalent ratio for 1/2 with a denominator of 8?
    12·1 answer
  • the equation 9.95+.035s=c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for th
    10·1 answer
  • Please help...25 points
    13·2 answers
  • Please help. Questions in the picture.
    12·1 answer
  • Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to
    6·1 answer
  • A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X
    13·1 answer
  • Alyssa attends football games at her school. At each football game, she buys a
    13·1 answer
  • What is the perimeter of the figure below. Round to the nearest tenth.
    12·1 answer
  • A chocolate factory makes 6060 chocolates in an hour .How many chocolates can it make in a day , if the factory is operational f
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!