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snow_tiger [21]
3 years ago
14

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

Mathematics
2 answers:
tangare [24]3 years ago
8 0
The answer is 4x cm < h < 10x cm.

The third side of the triangle is greater than the difference of the lengths of the other two sides (h > 7x cm - 3x cm) and it is less than the sum of the lengths of the other two sides (h < 7x cm + 3x cm)<span>. Therefore:
</span>h > 7x - 3x<span>
h < 7x + 3x
</span>
This can be expressed as:
7x cm - 3x cm < h < <span>7x cm + 3x cm
</span>⇒ 4x cm <span>< h < 10x cm</span>
scoray [572]3 years ago
8 0

Answer:Its option A on Ed

Step-by-step explanation:

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Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b
julia-pushkina [17]
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

381+24.77=405.77

So now we know that Jon's total bill for these items is $405.77.
4 0
3 years ago
A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?
ludmilkaskok [199]

Answer:

ima guess $262.50

Step-by-step explanation:

5 0
3 years ago
The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6\text { m}6 m6, space, m lon
iren [92.7K]

First aquarium dimensions:

Length = 6 m.

Width = 4 m and

Height = 2 meter.

Second aquarium dimensions:

Length = 8 m.

Width = 9 m and

Height = 3 meter.

We know formula for volume of a cuboidal box = Length*Width*Height.

Plugging values of length, width and height of first aquarium in formula of volume. We get

V1 = 6*4*2 = 48 m^3.

Plugging values of length, width and height of second aquarium in formula of volume. We get

V2 = 8*9*3 = 216 m^3.

In order to find the total cubic meters of space do the sea turtles have in their habitat, we need to add both volumes.

Therefore, Total voulme of both aquarium = V1 +V2 = 48+216 = 264 m^3.

Therefore, total 264 m^3 cubic meters of space the sea turtles have in their habitat.

8 0
3 years ago
Need help with all And have to show work
kari74 [83]
Altho' I can easily guess what you're supposed to do here, I must point out that you haven't included the instructions for this problem.

I'll help you by example.  Let's look at the first problem:

"Evaluate  6(z-1) at z-4."

Due to "order of operations" rules, we must do the work inside the parentheses FIRST.  Replace the z inside (z-1) with "-4".  We obtain

6(-4-1) = 6(-5) = -30 (answer.)

Your turn.  Try the next one.  If it's unclear, as questions.
8 0
3 years ago
What is the quotient of the following division problem (x+ 1)÷(x^2 + 3x +2)
seraphim [82]

Note: Actually, the division problem should be in reverse order. It should be given as (x^{2} +3x+2) / (x+1) ---------(i)

But according to the given problem (x + 1) / (x² + 3 x + 2).

Here, (x² + 3 x + 2) > (x + 1)

or, (x + 2) > 1

Concept: By using the property of division, if the numerator is less than the denominator then the quotient will always be 0 (zero)

Therefore the option (d) 0 will be the correct option.

6 0
3 years ago
Read 2 more answers
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