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gladu [14]
3 years ago
13

In a 45°- 45°- 90° right triangle, the length of the hypotenuse is 15. How long are the legs?

Mathematics
2 answers:
Fed [463]3 years ago
7 0
The answer is roughly 10.6
iris [78.8K]3 years ago
4 0
This is a special right triangle and the hypotenuse is √2 as long as legs (a).
a √ 2 = 15
a = 15 : √ 2 = 15 : 1.4142135 = 10.6066 ≈ 10.6
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How do you solve thsi
VLD [36.1K]
You multiply the length of the model car by the meters from the actual car. It’s easier to convert one unit of measurement to match with the other. I found it easier to convert 18.2 cm to meters which is 0.182 m. Now we multiply 0.182m by 0.3m to get the length of the actual car.

The answer would be 0.0546m. Or if you prefer centimeters, then the answer would be 5.46 cm. Either way is fine.

Hope this helped, please let me know if I was correct. :D
5 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Daniel [21]
Answer: x = 11 degrees

Step by step explanation:
Triangle rule states that all angles of a trundle must equal to 180 degrees. So we have two known angles, therefore we can subtract them from the 180 degree total.
180-109-43
=28
Now to solve for x we have the equation
4x-16=28
We add 16 to both sides to isolate x
4x=44
Now we divide each side by 4 to get rid of the coefficient
x=11
6 0
3 years ago
Quadrilateral army is rotated 90° about the origin
nevsk [136]
Sorry I am late but the I think it is this, I don’t know the answer but here is what I know. answer is: Imagine a rectangle that has one vertex at the origin and the opposite vertex is A. Now that you can see the image of A(3,4) under the rotation is A’(-4,3). It is easier to rotate the points that lie on the axes, and these help us find the image of A.
POINT: (3,0) (0,4) (3,4)
IMAGE (3,0) (-4,0) (-4,3)
8 0
2 years ago
What value of "a" makes the system 3x-y=17 and ax+y=-7 have no solution?
Norma-Jean [14]

Answer:

y=-7-ax

3x-(-7-ax)=17

3x+7+ax=17

3x+ax=10

x(3+a)=10

x=10,3+a=10 a=10-3 a=7

5 0
3 years ago
A and B are points on a line that has the slope 2. The abscissa of B exceeds the abscissa of A by 3.5. State the relationship of
Troyanec [42]

Answer:

The ordinate of B exceeds the ordinate of A by 7

Step-by-step explanation:

Let

A(x1,y1),B(x2,y2)

where

x1 is the abscissa of A

x2 is the abscissa of B

y1 is the ordinate of A

y2 is the ordinate of B

we know that

m=\frac{y2-y1}{x2-x1}

m=2

so

2=\frac{y2-y1}{x2-x1}  -----> equation A

x2=x1+3.5 ----> equation B

substitute equation B in equation A

2=\frac{y2-y1}{x1+3.5-x1}  

2=\frac{y2-y1}{3.5}  

7=y2-y1  

y2=y1+7  

therefore

The ordinate of B exceeds the ordinate of A by 7

6 0
3 years ago
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