Hiiii, can someone plz help me?

If 3sinA+4cosA=5 then find the value of cosA

deff fn [24]

Answer:

cos(A) = 4/5

Step-by-step explanation:

3sinA+4cosA=5

Divide by 5 on both sides

(3/5)sinA+(4/5)cosA = 1 .................(1)

from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since

(3/5)^2+(4/5)^2 = 1

For more details,

Let

cos(B) = (3/5), then

sin(B) = (4/5)

Substitute in (1)

cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum

sin(A+B) = 1 => A & B are complementary

cos(A) = sin(B) = 4/5

8 0

3 years ago

An isosceles trapezoid has a perimeter of 53 centimeters. Its shorter base measures 10 centimeters and its longer base measures

Aleksandr-060686 [28]

Answer:

the answer is B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

"Tongue Piercing May Speed Tooth Loss, Researchers Say" is the headline of an article. The article describes a study of 51 young

Paul [167]

Answer:

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 51, \pi = \frac{19}{51} = 0.373$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 - 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.24$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.373 + 1.96\sqrt{\frac{0.373*0.627}{51}} = 0.506$

The 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums is (0.24, 0.506).

3 0

4 years ago

What is the distance between the points (2, 1) and(6, 7)?

icang [17]

Answer:

$\displaystyle d = 2\sqrt{13}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 1)

Point (6, 7)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(6 - 2)^2 + (7 - 1)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{4^2 + 6^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{16 + 36}$
[√Radical] Add: $\displaystyle d = \sqrt{52}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{13}$

3 0

3 years ago

What is the difference between solving an equation and an inequality?

statuscvo [17]

When you solve an equation, it has an equal sign (=) and inequalities do not. When you solve an inequality the answer isn't exact (depending on the sign ie: <, >, etc...) equations usually are exact answers. other than that, I don't think there is a big difference in solving them.

5 0

3 years ago