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Liula [17]
3 years ago
8

Can the sides of a triangle have lengths 2, 7, and 8?

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

As long as any two numbers added are greater than the number not chosen they can make a triangle

2+7= 9     9 is greater than 8

8+2= 10    10 is greater than 7

7+8= 15 .  15 is greater than 2

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Please answer it now
Sergeeva-Olga [200]

Answer:

s= 15 (nearest integer), 14.8 (to nearest 10ths)

Step-by-step explanation:

here you need to apply the cosine rule,

{s}^{2}  =  {u}^{2}  +  {t}^{2}  - 2ut \cos(s)

substituting the values,

u= 13, t=5 and angle S as 60 and solving will give you the answer 14.76 (2 dp)

3 0
3 years ago
Maria and Josie went to the movies and spent $3.75 altogether on snacks. Let t = the price of a movie ticket. Write an expressio
nydimaria [60]
From the question we know that Maria and Josie went to the movies and spent a total amount of money, which should be the price of the tickets added to the price of the snacks.

Knowing that the price of the snacks is $3.75 and the price of the tickets is t, it looks like all that is left is to assign a variable to the total amount of maney they spent at the movies and write out the equation.

If we let the total amount of money they spent be x, then x= t+3.75, whcih should be your answer!
6 0
3 years ago
Eight plus the quotient of a number and 3<br> is −2<br><br> find answer
Fed [463]

Eight plus the quotient of a number and 3  is −2

8 + (x/3) = - 2

Hope it helps

8 0
3 years ago
I need help, I don't know how to do it.
Sindrei [870]

Answer:

Step-by-step explanation:

to solve this problem we can use the Pythagorean theorem

UT and TL are the legs, while LU is the hypotenuse

We have to find LU so we can proceed like this

x^2 + (x+1)^2 = LU^2

x^2 + x^2 + 1 + 2x = LU^2

2x^2 + 2x + 1 = LU^2

LU = +/- \sqrt{2x^2+2x+1

we have to take only the positive value because a length can’t be negative.

2x^2 + 2x + 1 is positive for every value of x, so the final answer is

\sqrt{2x^2+2x+1}

5 0
2 years ago
A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Dominik [7]

Question:

A population of insects, in thousands, can be modeled using the function

p(t) = 1.75(0.97)^t, where t is time in months. Which statement best

describes the population of insects?

A. The population is decaying at a rate of 3% each month.

B. The population is decaying at a rate of 25% each month.

C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

Answer:

A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

p(t) = 1.75(0.97)^t

Required

True statement about the function

From the options, we can see that we are to answer the question on the basis of decay and growing rates.

An exponential form is:

y=ab^x

Compare to p(t) = 1.75(0.97)^t

b= 0.97\\

If b > 1, then b = 1 + r r represents growth rate

else, b= 1-r r represents decay rate

Since b < 0.97:

0.97= 1-r

r = 1 - 0.97

r = 0.03

r = 3\%

r = 0.03

7 0
2 years ago
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