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Serhud [2]
3 years ago
10

Can anyone help with problem 5?

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

Other leg: 25 cm

Hypotenuse: 25√2 cm

Step-by-step explanation:

Hi there!

We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm

We want to find the length of the other sides

First, let's find the length of the other leg

A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees

That means the legs of the right triangle are actually the legs in the isosceles triangle as well

So the other leg is also 25 cm

Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle

You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse

In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm

So that means the length of the hypotenuse in this case is 25√2 cm

Hope this helps!

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3x+y=7<br> 6x+4y=22<br> can somebody help me solve this problem?
swat32
Hey there!

\boxed{x=1;y=4}

3x + y = 7 \\ \\ &#10;    6x + 4y = 22

y = -3x + 7 \\ \\ Plug \ this \ in \ for \ variable \ (y) \ in \ equation \ \\ \\ &#10;&#10;       6x + 4*(-3x+7) = 22 \\ \\ &#10;       -6x = -6 \\ \\ 6x=6 \ x+1 \\ \\ x=1 \ y=-3x+7 \\ \\ \boxed{y=-3(1)+7=4} \\ \\ \boxed{\boxed{x=1;y=4}}

I hope this helps you!
5 0
4 years ago
What is the value of 6x - 3y if x = 5 and y= -1
nadezda [96]

Answer:

33

Step-by-step explanation:

6x - 3y

=> x = 5, y = -1 Substitute in the above equation,

=> 6(5) - 3(-1)

=> 6(5) + 3

=> 30 + 3

=> 33

5 0
3 years ago
Read 2 more answers
Please help and explain.
Radda [10]

Explanation:

Vertex form of a quadratic function is given by y = a(x - h)² + k

where

1) 'a' determines if parabola is stretched or compressed.

   If a > 1 then graph is stretched by a factor of a.

   If 0 < a < 1, then graph is compressed by a factor of a.

2) If a > 0 then graph opens upwards with a happy face. (minimum)

3) If a < 0 then graph opens downwards with a sad face. (maximum)

4) (h, k) is the vertex point

5) The axis of symmetry is x = h

While solving for y = 1(x - 4)² + 3

Identify following's:

Vertex: (h, k) = (4, 3)

Axis of symmetry: x = 4

Max/Min: As here a > 0, Minimum (4, 3)

Stretch/compression: a = 1, the graph is stretched by a factor of 1.

Direction of opening: As a > 0, the graph opens upwards.

7 0
2 years ago
ALICE
Mice21 [21]

Answer:

A

Step-by-step explanation:

The 7 is in the hundredths place.

6 0
4 years ago
Zorona weighs 92 pounds. Her weight is 6 pounds more than half of her father’s weight. How much does her father way?
mihalych1998 [28]

Answer:

Zorona's dad wieghs 40 pounds

Step-by-step explanation:

92 ÷ 2 = 46

46 - 6 = 40

hope this helps!

6 0
3 years ago
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