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Alexandra [31]
3 years ago
14

Suppose you have an isosceles triangle with a 90° angleIf the congruent sides each measure 9 feet, what is the length of the sid

e across from the right angle?
Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:

9\sqrt{2} feet

Step-by-step explanation:

Consider the attached figure.

An isosceles triangle is a triangle in which two sides are equal.

AB=BC=9 feet

According to Pythagoras theorem,

square of hypotenuse is equal to sum of squares of other two sides.

AC^2=AB^2+BC^2\\AC^2=9^2+9^2\\AC^2=81+81\\AC^2=162\\AC=\sqrt{162}

AC=9\sqrt{2} feet

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Evaluate −4x−y+4 when x=−14 and y=3.<br> The value of the expression is _____ ?
Effectus [21]

Answer:

The value of the expression is 57 :D

Step-by-step explanation:

Since x = -14 and y = 3, we need to replace the variables with the given numbers:

-4(x) - y + 4 =

-4(-14) - 3 + 4 =

56 - 3 + 4 =

53 + 4 = 57

7 0
3 years ago
I would appreciate it if someone could help answer this problem:)
Vesna [10]

Answer:

x = 85°

Step-by-step explanation:

As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;

Sum of interior angles of a pentagon = (n - 2) * 180°

=> Sum of interior angles of a pentagon = (5 - 2) * 180°

=> Sum of interior angles of a pentagon = 3 * 180

=> Sum of interior angles of a pentagon = 540

Now that we know the sum of interior angles, we can set up the equation and solve for x;

115 + 95 + 115 + 130 + x = 540

455 + x = 540

x = 540 - 455

x = 85

Hope this helps!

4 0
2 years ago
Mary and Jeff both have jobs at a baseball stadium selling bags of peanuts. They each get paid $12 per game
Anarel [89]
A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags

b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50
6 0
3 years ago
Please help me with this.
kompoz [17]

Answer:

75\sqrt{2}(\sqrt{3}-1)

Step-by-step explanation:

In every right triangle, a leg is given by the multiplication of the sine of its opposite angle and the hypothenuse.

In this case, the opposite angle of x is 15°, and the hypothenuse is 300. So, we have

x = 300\sin(15) = 75\sqrt{2}(\sqrt{3}-1)

3 0
3 years ago
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kaheart [24]

Answer:

its 4

Step-by-step explanation:

5 0
2 years ago
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