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Svet_ta [14]
3 years ago
14

Can the sides of a triangle have lengths 2.4, 6.5, and 7.4?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

yes.

Step-by-step explanation:

2.4 + 6.5 = 8.9 (triangle inequality)

8.9 > 7.4

= it is possible to make a triangle wit these measurements.

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A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the
ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

x=y+15 ----> equation A

The volume of the box is equal to

V=LWH

we have

V=1,350\ in^3

L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in

H=3\ in

substitute in the formula of volume

1,350=(x-6)(y-6)(3) ----> equation B

substitute equation A in equation B

1,350=(y+15-6)(y-6)(3)

solve for y

450=(y+9)(y-6)

y^2-6y+9y-54=450\\y^2+3y-504=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

x=21+15=36

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0
3 years ago
For population parameter μ = true average resonance frequency for all tennis rackets of a certain type, each of these is a confi
Andreyy89

Answer:

X[bar]= 115

Step-by-step explanation:

Hello!

Every Confidence interval to estimate the population mean are constructed following the structure:

"Estimator" ± margin of error"

Wich means that the intervals are centered around the sample mean. To know the value of the sample mean you have to make the following calculation:

X[bar]= \frac{Upper bond + Low bond}{2}

X[bar]= \frac{115.6+114.4}{2} = 115

Since both intervals were calculated with the information of the same sample, you can choose either to calculate the sample mean.

I hope it helps!

5 0
3 years ago
Help plssssssss number 1
olga nikolaevna [1]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP!!!
diamong [38]
DE. AB, is going up BC, isn't decreasing or increasing. CD, isn't decreasing or increasing. Therefore your answer is DE.
8 0
3 years ago
Read 2 more answers
Ron is 8 years old and 40 inches tall. If he grows at the same rate every year, how tall was he when he was 5 years old?
Vadim26 [7]
He would be 25 inches tall.

40 divided by 8 would equal 5 so at age 1, he was 5 inches tall. So 5 times 5 which is how old he was, would equal 25 inches.
5 0
2 years ago
Read 2 more answers
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