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3 years ago

the sides of a triangle are in the ratio 3: 4: 5 what is the lenghth of each side if the perimeter of the triangle is 90cm

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

3x+4x+5x=90

combine like terms

12x = 90

divide by 12

x = 7.5

sides: 3(7.5) ,4(7.5) ,5(7.5)

22.5, 30, 37.5

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Which graph represents the solutions of the inequality p ≥ -1

soldi70 [24.7K]

Option D:

The solution of the inequality p is –1, 0, 1, 2, 3, ...

Solution:

Given inequality is p ≥ –1.

To find the solution for the inequality.

p ≥ –1 means the value of p is greater than or equal to –1.

That is p can be –1, 0, 1, 2, 3, ...

<u>Now find which option is correct:</u>

Option A:

In this inequality, the solution is –1, –2, –3, ...

–3 and –2 are less than –1.

But p is greater than –1.

So, it is not the solution of the inequality.

Option B:

In this inequality, the solution is 0, 1, –1, –2, –3, ...

Here 0 > –1 and 1 > –1 but –3 and –2 are less than –1.

So, it is not the solution of the inequality.

Option C:

In this inequality, the solution is 0, 1, 2, 3, ...

Here 1 > –1 , 2 > –1 and so on.

But 0 is also greater than –1. This is missing in the graph.

So, it is not the solution of the inequality.

Option D:

In this inequality, the solution is –1, 0, 1, 2, 3, ...

Here –1 = –1, 0 > –1, 1 > –1, and so on.

This graph represents all the values of p.

So, it is the solution of the inequality.

Hence option D is the correct answer.

The solution of the inequality p is –1, 0, 1, 2, 3, ...

6 0

3 years ago

A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which

Alexxandr [17]

T=8w+w/2
i hope this helps :)

5 0

2 years ago

Can anyone help me on any of the questions?

ehidna [41]

Answer:

7.) about 3 inches per hour

Step-by-step explanation:

7 0

3 years ago

A sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.

meriva

Answer:

Step-by-step explanation:

sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct

Brand A:

$2.50 for 2

Brand B :

$3.90 for 3

Brand C:

$5.12 for 4

We calculate the unit price :

Brand A:

$2.50 / 2 = $1.25

Brand B:

$3.90 / 3 = $1.30

Brand C:

$5.12 / 4 = $1.2

4 0

3 years ago

Help please! show work thanks

Andre45 [30]

Answers
b = 2.77 m
A = 43.0°
C = 111.1°

cosine law to find b

$b^2 = a^2 + c^2 -2ac \cos B \\ \\
b = \sqrt{a^2 + c^2 -2ac \cos B} \\ \\
b = \sqrt{4.33^2 + 5.92^2 - 2(4.33)(5.92) \cos 25.9} \\
b = 2.7708\ m$

b = 2.7708\ m

Find angle A with sine law

$\displaystyle
\frac{\sin A}{a} = \frac{\sin B}{b} \\ \\
\sin A = \frac{a \sin B}{b} \\ \\
A = \sin^{-1} \left[ \frac{a \sin B}{b} \right] \\ \\
A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708} \right] \\ \\
A = 43.0467020$

Find C with angles in triangle sum to 180

A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1

6 0

3 years ago