1. Refer to the triangle below. If a = 3 and b = 6, A. Find the exact length of c in unsimplified radical form B. Find the exact length of c in simplified radical form C. Find c to the nearest hundredth

Answers

Answer 1

Answer: I'm assuming that the triangle is a right triangle wherein the Pythagorean theorem is applicable.

a² + b² = c²

c = √a²+b²
c = √3² + 6²
c = √9 + 36
c = √45 unsimplified radical form
c = √9 * 5
c = 3 √5 simplified radical form
c = 3 * 2.24
c = 6.71 value of c to the nearest hundredth

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Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).

Answers

The value of ( g o f ) (0) is -3.

Here,

The function is given as;

$f (x) = x^(2)$ and $g (x) = x-3$

We have to find the value of ( g o f ) (0).

What is Composite function?

Composite function is an operation that takes two functions f and g and produces a function k such that k (x) = g(f(x)).

Now,

The function are;

$f (x) = x^(2)$ and $g (x) = x-3$

Simplify ( g o f ) (0) as;

⇒ $( g o f ) (0) = g ( f (0)) = g (0) = 0-3 = -3$

Hence, The value of ( g o f ) (0) is -3.

Learn more about the composite function visit:

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f(0) = 0
g(f(0)) = 0 - 3 = -3

answer
(g ∘ f)(0) = -3

Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?A. x + 30 = 10 and x + 30 = –10
B. x – 30 = 10 and x – 30 = –10
C. x + 10 = 30 and x + 10 = –30
D. x – 10 = 30 and x – 10 = –30

Answers

ANSWER
A. x + 30 = 10 and x + 30 = –10

EXPLANATION
If x represents the depth of Laurie at a given moment, then the distance between his current depth and -30 feet is given by

| x - (-30) |

which can be simplifed into

| x + 30 |

We use absolute value because distance cannot be negative.

Laurie must stay within 10 feet. Therefore, the distance x is from -30 feet has to be equal to 10 to find the maximum and minimum depths that Laurie can stay between:

| x + 30 | = 10

When we solve this absolute value equation, we work with two cases.

Case 1: When x + 30 is positive, then |x+30| = x+30 (no change) and we have the equation
x + 30 = 10

Case 2: When x + 30 is negative, then |x+30| = -(x+30) so as to force the distance into a positive number. Then this gives us the equation
-(x+30) = 10
which we can multiply both sides by -1 to get
x + 30 = -10

San Pablo is having a festival. Tickets for children under 12 cost $2, adult tickets are $6 and senior citizen tickets are $3. One sixth of the tickets sold were children’s tickets. The 40 senior citizens with tickets sat in the shade under the trees and watched the children play. Half the people attending the festival purchased adult tickets. How much money was collected from ticket sales?

Answers

The total of tickets sold would be 100% or 1, so we have 1/6 of total tickets for kids and 1/2 of total of tickets for adults, for finding the part of tickets sold for seniors we calculate: 1/6 + 1/2 + x = 1 here x is the part of tickets for seniors.
Solve for x: x=1/3.
Now let total of tickets be "T", we know the amount of tickets sold for seniors (40) so we can say: 1/3*T = 40, solve for T and get T = 40*3 = 120 tickets sold.
Finally we can calculate the money collected from tickets sold multiplying the cost*the part of tickets sold for each group*120 and add all of them, this is:
$2*1/6*120 + $6*1/2*120 + $3*1/3*120 = $40 + $360 + $120 = $520
The money collected from ticket sales is: $520

What are the solutions to the quadratic equation 4x2 + 28x = 0?x = 4 and x = −7
x = 4 and x = 7
x = 0 and x = −7
x = 0 and x = 7

Answers

4x^2 + 28x = 0

First step: take out the GCF

4x(x + 7) = 0

2nd step: equal each expression to 0

4x = 0
(x + 7) = 0

3rd: solve

4x= 0
x = 0
x + 7 = 0
x= -7

So the answer is x= 0 and x= -7

Answer:

x=0

x= -7

Step-by-step explanation:

just took the test

What is the slope between 3,6 and 11,6

Answers

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = $(y_(2)-y_(1) )/(x_(2)-x_(1) )$

let (x₁, y₁ ) = (3, 6 ) and (x₂, y₂ ) = (11, 6 )

substitute these values into the formula for m

m = $(6-6)/(11-3)$ = $(0)/(8)$ = 0

Which of the following is not a possible r-value ?A: -0.6
B: -1.3
C: 0.3
D: 0.6

Answers

Answer: B) -1.3

The value of r must be between -1 and 1. The r value can be -1 or 1.

In terms of an inequality, we can say $-1 \le r \le 1$ (r is between -1 and 1 inclusive of both endpoints)

Answer:

Just answered the question the answer was -1.3 :)

Step-by-step explanation:

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