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valentina_108 [34]
3 years ago
10

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (

3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
16 feet
40 feet
76 feet
80 feet
Mathematics
2 answers:
aksik [14]3 years ago
6 0

Answer:

Perimeter of triangle =40 feet

Step-by-step explanation:

Given:

Lengths of edges of triangle:

(3x-4) feet

(x^2-1) feet

(2x^2-15) feet

Perimeter of the triangle= Sum of all sides = (3x-4)+(x^2-1)+(2x^2-15) feet

On simplifying by adding like terms:

Perimeter of triangle = 3x^2+3x-20 feet

Given x=4

∴ Perimeter of triangle = 3(4)^2+3(4)-20 =3(16)+12-20

=48+12-20 = 40 feet

Ede4ka [16]3 years ago
5 0

Answer: The correct answer is B: 40 feet.

hope this helps :)

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Calculate limits x&gt;-infinity<br> -2x^5-3x+1
Lera25 [3.4K]

Given:

The limit problem is:

\lim_{x\to -\infty}(-2x^5-3x+1)

To find:

The value of the given limit problem.

Solution:

We have,

\lim_{x\to -\infty}(-2x^5-3x+1)

In the function -2x^5-3x+1, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.

So, the function approaches to positive infinity as x approaches to negative infinity.

\lim_{x\to -\infty}(-2x^5-3x+1)=\infty

Therefore, \lim_{x\to -\infty}(-2x^5-3x+1)=\infty.

3 0
2 years ago
How can I turn -4/slope ,0/y-intercept into a slope intercept form equation
Rainbow [258]

Answer:

y = - 4x

Step-by-step explanation:

Here, it is given that the slope of a line is - 4 and the y-intercept is 0.

Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as  

y = mx + c ......... (1)

Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is  

y = - 4x (Answer)

4 0
3 years ago
In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand contain
aalyn [17]

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}

=\frac{^{20}C_5}{^{52}C_5}

=\frac{\frac{20!}{5!15!}}{\frac{52!}{5!47!}}

=\frac{15504}{2598960}

= 0.00597  

7 0
3 years ago
Mang Ambo was admitted to the hospital because his body temperature is 39.6ºC. How much higher is his temperature than the norma
Rudik [331]

Answer:

2.6 degree Celsius

Step-by-step explanation:

A) It is asked that by how much degrees the temperature of Mang Ambo is higher than that of normal body temperature (37 degree Celsius) of human being

B) Subtraction operation will be used

C) Temperature higher than normal human body temperature

= 39.6 -37\\

D) 2.6 degree Celsius

5 0
2 years ago
Part 5:
miss Akunina [59]

4

One in 1200 are not particularly good odds. On the other hand, winning the lotto is 1 chance in 13,000,000 which if you've ever played the lotto you know that those odds are good enough to insure that if you played for the rest of your life and you are 18 not expect to live to 80 and you have 104 [given 2 draw a week] chances of winning per year, it likely won't happen. One in 1200 is better but still not good, especially with only 1 draw.


3

As a fraction her probability of winning is 1/2000 which is 0.000833333 as a decimal. You can put that in as


1

÷

1200

=

if you are not sure how your calculator works.


2

Sample Space = {1,2,3,4 .... 1198,1199,1200}

The outcome depends on sophies number. Either 1 number can be chosen or all of them can.


1

The sample space is the integers from 1 to 1200 inclusive.

8 0
3 years ago
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