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Nezavi [6.7K]
4 years ago
7

Is it possible for a triangle to have sides with given lengths? 5 inches, 8 inches, 15 inches

Mathematics
1 answer:
Tema [17]4 years ago
8 0
Yes it is possible indeed 
You might be interested in
Given that k(x) = (2x + 4)2
taurus [48]

Answer:

f(x)=4x\\g(x)=x+2

Step-by-step explanation:

Because we have to rewrite this equation in the format f(g(x)), we have to divide, or factor to find basic terms,

Expanding the value of k(x), we have k(x)=4x+8. We see that each term can be divisible by 4, so we can factor out 4 to get

k(x)=4(x+2)

Now, we have two different terms getting multiplied. We can separate the two to get 4 \text{ and} (x+2)

Because we are multiplying 4 by the other term, this is represented by 4x

Now, we can just set f(x) and g(x) to these functions:

f(x)=4x\\g(x)=x+2

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.

Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).

3 0
3 years ago
One number is 2 less than two thirds the other. their sum is 103. find the two numbers
anastassius [24]
One of the numbers is 40 and the other one is 63
confirmation:
63×(2/3)-2=40
and 40+63=103

6 0
4 years ago
PLEASE SHOW WORK
Dmitrij [34]

Answer:

Below in bold

Step.-by-step explanation:

It consists of 5 isosceles triangles of equal sides 4 cm and vertex angles 360 / 5

= 72 degrees.

Area of 1 triangle = 1/2 * 4^2 *sin 72

Area of the whole pentagon = 5 * 1/2 *4^2 * sin 72

= 38.04 cm^2.

6 0
2 years ago
Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
FromTheMoon [43]
Let's say Miles Carlos drove = x and taook time = t1
               Miles <span>Maria drove  = y and took time = t2
But the total mile both drove = 233 and took time = 4.4 hrs
So , x + y = 233
       t1 + t2 = 4.4

However, speed = distance / time

for Carlos, 55 = x / t1
for Maria,   50 = y / t2

</span><span>x + y = 233
</span><span>55 t1 + 50 t2 = 233

</span><span>t1 + t2 = 4.4
</span>50 t1 + 50 t2 = 220

5 t1 = 13
t1    = 2.6 hrs for Carlos

t2    = 1.8 hrs

Therefore Maria drove 4.4 hrs



8 0
4 years ago
Help with this math homework please
labwork [276]

Answer:

When you add an irrational and rational number the sum becomes irrational as well.

Alright so let's pick an irrational number I'm gonna say pi. A rational number, let's go with 1. Pi plus 1 is about 4.14 rounded to the nearest hundredth. How about multiplying? It's pi still cause anything times one equals itself.

5 0
3 years ago
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