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3 years ago

X + 6 = 14; x = 8 help pls

Mathematics

1 answer:

Vlada [557]3 years ago

5 0

Answer:

This is correct.

x = 8 is the true/correct answer.

Step-by-step explanation:

You check this by replacing "x" with "8" since x = 8.

8 + 6 = 14.

This is a true statement, so x = 8 is correct.

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let (-5,-7) be a point on the terminal side of theta. find the exact values of cos theta, sec theta, and cot theta

Svet_ta [14]

a. The exact value of cosθ = -5/√74

b. The exact value of secθ = -√74/5

c. The exact value of cotθ = 5/7

<h3>How to find the trigonometric ratios</h3>

Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.

So, r = √(x² + y²) where

x = -5 and
y = -7

So, r = √(x² + y²)

r = √((-5)² + (-7)²)

r = √(25 + 49)

r = √74

<h3>The value of the trigonometric ratio cosθ</h3>

Since the trigonometric ratio cosθ = x/r

Substituting the values of x and r into the equation, we have

cosθ = x/r

cosθ = -5/√74

So, the exact value of cosθ = -5/√74

<h3>The value of the trigonometric ratio secθ</h3>

Since the trigonometric ratio, secθ = r/x

Substituting the values of x and r into the equation, we have

secθ = r/x

secθ = √74/-5

secθ = -√74/5

So, the exact value of secθ = -√74/5

<h3>The value of the trigonometric ratio cotθ</h3>

Since the trigonometric ratio cotθ = x/y

Substituting the values of x and y into the equation, we have

cotθ = x/y

cotθ = -5/-7

cotθ = 5/7

So, the exact value of cotθ = 5/7

Learn more about trigonometric ratios here:

brainly.com/question/1518222

#SPJ1

3 0

1 year ago

Find the distance traveled by driving at 55 miles per hour for 3 hours

Triss [41]

Answer:

165

Step-by-step explanation:

55*3= 165

Hope this helps!

3 0

3 years ago

Read 2 more answers

What is the value of x in the recntangle (2 1/2+ X) cm and 2 1/2 cm

vaieri [72.5K]

Answer:

Step-by-step explanation:

Given that:

Length (l) = 13 cm

Width (w) = 8 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

4 0

3 years ago

Question 2

fomenos

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of $f(x, y) = (y+2, -x-4)$ , which are: $A(x,y) = (1, -4)$ , $B(x,y) = (3,-2)$ and $C(x,y) = (0,-1)$ .

Then we proceed to find all elements of range:

$A(x,y) = (1, -4)$

$f(1,-4) = (-4+2,-1-4)$

$f(1,-4) = (-2,-5)$

$B(x,y) = (3,-2)$

$f(3,-2) = (-2+2,-3-4)$

$f(3,-2) = (0,-7)$

$C(x,y) = (0,-1)$

$f(0,-1) = (-1+2,0-4)$

$f(0,-1) = (1,-4)$

Which corresponds to option D.

3 0

3 years ago

An instructor who taught two sections of engineering probability last term, the first with 20 students and thesecond with 30, de

Oliga [24]

Answer:

0.207

Step-by-step explanation:

This is an hypergeometric distribution problem

An hypergeometric distribution has the same sense as the discrete probabilities of binomial distribution, but unlike binomial distribution, hypergeometric distribution does not allow replacement.

Binomial distribution expresses the probability of picking k objects from n with replacement, but hypergeometric distribution expresses picking k objects from n without replacement, with the finite total population, N, containing K objects.

It is expressed mathematically as

h(k: n, K, N) = (ᴷCₖ)(ᴺ⁻ᴷCₙ₋ₖ)/(ᴺCₙ)

where

k = number of students in the 2nd section required to be in the first 15 graded projects (number of successes) = 10

n = total number of first graded projects (number of trials) = 15

K = number of students in the 2nd section of the class = 30

N = total number of students = 50

h(10: 15, 30, 50) = (³⁰C₁₀)(⁵⁰⁻³⁰C₁₅₋₁₀)/(⁵⁰C₁₅)

h(10: 15, 30, 50) = (³⁰C₁₀)(²⁰C₅)/(⁵⁰C₁₅)

= (30,045,015)(15,504)/(2,250,829,575,120)

P(X = 10) = 0.207

Hope this Helps!!!

7 0

3 years ago