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DaniilM [7]
3 years ago
7

the diagram shows a right angles triangle ABC. BC = 10 cm. angle CAB = 90 degrees. angle ABC = 30 degrees. M is the midpoint of

AB. Work out the size of angle AMC.

Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer:

angle AMC=49.1

Step-by-step explanation:

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Write the equation of the parabola that has the vertex at point (1.5,0) and passes through the point (3,3).
astra-53 [7]

<u>Answer</u>:

3y = 4(x - 1.5)²

<u>Step-by-step explanation:</u>

The equation of the parabola in the vertex form is:

y = a (x-h)² + k

Where: (h,k) the coordinates of the vertex & a is a multiplier

The parabola has a vertex at ( 1.5 , 0 )

So, h = 1.5 , k = 0

∴ y = a (x - 1.5)² + 0

∴ y = a (x - 1.5)²

The parabola passes through points ( 3 , 3 )

∴ 3 = a (3 - 1.5)²

∴ 1.5² a = 3  ⇒ a = 3/1.5² = 3/2.25 = 4/3

∴ y = (4/3) (x - 1.5)²

mukitbly both sides by 3

∴ 3y = 4(x - 1.5)²

So, the equation of a parabola that has a vertex at ( 1.5 , 0 ) and passes through points ( 3 , 3 ) is 3y = 4(x - 1.5)²

See the attached figure.

4 0
3 years ago
Tyler is 4 years older than tiffany in ten years he will be twicse as old a tifinay.
rusak2 [61]

For this case we have to:

x: Variable that represents Tyler's age

y: Variable that represents Tiffany's age

According to the data of the statement we can propose the following equations:

x = y + 4\\x + 10 = 2y

To solve we substitute the first equation in the second equation:

y + 4 + 10 = 2y\\14 = 2y-y\\14 = y

So, Tiffany is 14 years old.

Then Tyler has:

x = 14 + 4\\x = 18

Tyler is 18 years old.

Answer:

Tyler: 18 years old

Tiffany: 14 years old

6 0
3 years ago
A triangle has two sided that are perpendicular, could the triangle be isosceles, equilateral, or scalene?
Sati [7]
The triangle can be isosceles or scalene but not equilateral.

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%209" id="TexFormula1" title="y = - \frac{1}
Fittoniya [83]
X= -2y +18
y= -x/2+9
4 0
2 years ago
a rare coin was bought for $30.00 2 years ago.It is now worth $75.00 . What is the percent increase in worth?​
Vera_Pavlovna [14]

Answer:

100% +100%= 60+100%=90 - 50% is 75 so 250%

Step-by-step explanation:

8 0
2 years ago
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