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jenyasd209 [6]
4 years ago
5

I need help with this question

Mathematics
1 answer:
amid [387]4 years ago
5 0

Answer:

  x = (3√2)/2

Step-by-step explanation:

In the isosceles right triangle the side lengths have the ratio ...

  1 : 1 : √2

This means the short leg (x) is 1/√2 times the length of the hypotenuse. You want the ratio with a rational denominator, so you need to multiply numerator and denominator by √2.

  x=3\cdot\dfrac{1}{\sqrt{2}}=3\cdot\dfrac{\sqrt{2}}{(\sqrt{2})^2}\\\\\boxed{x=\dfrac{3}{2}\sqrt{2}}

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naomi's fish is 40 millimeters long. her guinea pig is 25 centimeters long. how much longer is the guinea pig than her fish
horrorfan [7]
Hi there!

The correct answer is 6.25 times.

This is how you get there:

1) First off, you are going to need to have the same unit (either cm or mm). I used millimeters for this problem. 25cm=250mm

2) This next part is very easy to get wrong. You need to figure out what you are dividing, and by what. Simply look at the problem. <span><em>"How much longer is the guinea pig than her fish?" </em>This shows what numbers you should be getting. The guinea pig is 250mm long, where the fish is only 40. This means that her guinea pig should be larger. 250÷40=6.25

If you did this problem the other way, you would've ended up with .16. If you put the sizes into perspective, you will notice that this is highly unlikely.

I hope that I have been able to simplify this problem for you!

Brady
</span>
3 0
3 years ago
Tara places a picture in a picture frame. The width of the picture is x inches, and the length of the picture is 2 inches more t
CaHeK987 [17]
Refer to the diagram shown below.

The dimensions of the outside of the picture rame are:
Width   = x + 1 + 1 = x + 2 inches
Length = (x+2) + 1 + 1 = x + 4 inches.

The perimeter of the outside of the picture frame is 28 inches.
Therefore
2(x + 2) + 2(x+4) = 28

Solve for x.
2x + 4 + 2x + 8 = 28
4x + 12 = 28
4x = 16
x = 4 inches

Answer: 4 inches

7 0
4 years ago
The flutists goal is to raise 18% of the total amount needed the trumpeters goal is 85% of the flutists goal. If both of these g
docker41 [41]
The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpeters
The difference in the amounts the student raised is $256.5
Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = $256.5
8 0
2 years ago
Can someone please help me with this! The question is in the picture! Thanks mate!
serg [7]
You need 12 tutors for 120 students.
5 0
3 years ago
Read 2 more answers
Explain how to find the "geometric mean" of two numbers.
Alex73 [517]
<span>First you multiply them: 2 × 18 = 36.
<span>Then (as there are two numbers) take the square root: √36 = 6.</span></span>
5 0
4 years ago
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