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kap26 [50]
3 years ago
9

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to b=2\sqrt{2}.

In a 45-45-90 triangle, the hypotenuse is equal to x\sqrt{2} this means in order to find missing side length a, we have to multiply (2\sqrt{2})(\sqrt{2}) this will give us 4

so the missing side lengths are, b=2\sqrt{2} and a=4

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Cody works at a car dealership where he earns $300 each week plus a commission equal to 1% of his total sales. This week his goa
Dmitrij [34]

Answer:

$20,000 = sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $300

Commission rate= 1% of sales

<u>First, we need to establish the net income formula:</u>

Net income= 300 + 0.01*sales

<u>Now, the sales required for $500 net income:</u>

500= 300 + 0.01sales

200/0.01 = sales

20,000 = sales

Prove:

Net income= 300 + 0.01*20,000

Net income= $500

5 0
3 years ago
Q(x)=4x2-3x3+8x is it a cubic trinomial​
Norma-Jean [14]

Answer:

Yes

Answer:    x = 0

Step-by-step explanation:

Yes it is.

Down is the answer how to solve this equation and the steps.

Step  1  :

Equation at the end of step  1  :

 qx -  (((4 • (x2)) -  3x3) +  8x)  = 0  

Step  2  :

Equation at the end of step  2  :

 qx -  ((22x2 -  3x3) +  8x)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  qx + 3x3 - 4x2 - 8x  =  

 x • (q + 3x2 - 4x - 8)  

Equation at the end of step  4  :

 x • (q + 3x2 - 4x - 8)  = 0  

Step  5  :

Theory - Roots of a product :

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2      Solve  :    x = 0  

 Solution is  x = 0

Solving a Single Variable Equation :

5.3     Solve   q+3x2-4x-8  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Answer:  x = 0

Hope this helps.

7 0
3 years ago
Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:
Naily [24]

Answer:

c

Step-by-step explanation:

(f+g)(x)=3x-3

(f+g)(3)=3x3-3=6

3 0
3 years ago
What is the surface area of the square pyramid represented by the net? Enter your answer in the box. ft² An unfolded square base
inessss [21]
Start by finding the area of the base.

A = lw
A = 3 x 3
A = 9 square feet.

Sides use the formula of a triangle: 1/2bh
A = 1/2bh
A = 1/2(3)(5)
A = 1/2(15)
A = 7.5

Next, there are 4 sides, so multiply the side area by 4.
7.5 * 4 = 30 square feet.

Lastly add all surface areas together:
30 + 9 = 39 square feet.
6 0
3 years ago
Read 2 more answers
To begin a bacteria study a petri dish had 2200 bacteria cells every hours since the number of cells has increased by 3.8% let t
WINSTONCH [101]

Answer:

Therefore the required relationship is

y = 2000(1.038)^t

Step-by-step explanation:

Given that, to begin a bacteria study a petri dish had 2200 bacteria cells every hours.

The growth of bacteria is in exponential.So we use the following formula

A=P(1+r)^n

A= Total amount =y = the number of bacteria cell

P= initial value = 2000

r= rate of increase = 3.8%= 0.038

n = time = t

Putting the all values

y=2000(1+0.038)^t

\Rightarrow y = 2000(1.038)^t

Therefore the required relationship is

y = 2000(1.038)^t

8 0
3 years ago
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