All categories

3 years ago

Right angled triangle calc: find a, b=24, c=33.94113

1 answer:

5 0

Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b²

a²+24²=33.94113²

a²+576=1,152.00031

a²=576.000306

a=24 (If you need the exact number, not rounded, it is 24.0000064)

You might be interested in

What is the solution to this equation? 4(4x + 1) = 3x - 46 - x) + 8

timama [110]

Answer:

-3

Step-by-step explanation:

start by opening the brackets 4(4x+1)=(3x-46-x)+8

16x+4=3x-46-x+8 then put like terms together =

16x-3x+x=-46+8-4

14x=-42 divide all over by 14

=-3

3 0

3 years ago

For what side length(s) is the area of an equilateral triangle equal to 30 cm?? Only enter the number, in centimeters, rounded t

xenn [34]

Answer: The sides length are 8.32 cm

Step-by-step explanation:

An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.

The area of a triangle is $Area = \frac{base * height}{2}$ where the base is L, the Area is 30 and an unknown height.

To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of $\frac{L}{2}$ , a hypotenuse of L and a the unknown height.

Then we apply the Pythagoras theorem, this states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, or, $hypotenuse = \sqrt{c^{2} + c^{2} }$ Where one c is $\frac{L}{2}$ and the other is the height.

Then we find one of the c of the equation wich will be the height.

$height = \sqrt{hypotenuse^{2}-base^{2} }$

$height = \sqrt{ L^{2} -\frac{L}{4} ^{2}}\\height = \sqrt{\frac{ 3L^{2}}{4} } \\\\height = \frac{\sqrt{3}L }{2}$

Finally, we use the triangle area mentioned before an find the value of L.

$30 = \frac{L*\frac{\sqrt{3}L }{2} }{2} \\\\L = \sqrt{\frac{120}{\sqrt{3} } } \\\\L = 8.32 cm$

6 0

3 years ago

Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should c

Evgen [1.6K]

Answer:

Lindsey, who is delivering her speech in a large auditorium

Step-by-step explanation:

Jin, who is delivering her speech to a small group sitting around a table

Lindsey, who is delivering her speech in a large auditorium

Luke, who is delivering his speech in a typical classroom

Jordan, who is delivering his speech in a small meeting room

8 0

3 years ago

I need help please thanks

kompoz [17]

Answer:

Vertical angles = 81 degrees

Angle (4y-1) = 99 degrees

Linear pair = 81 + 99 = 180 degrees

Step-by-step explanation:

2x + 5 = 3x - 33 (vertical angles)

33+5 = 3x - 2x

38 = x

3(38) - 33 = 81 degrees

4y - 1 + 81 = 180 (linear pair angles)

4y = 180 - 80

y = 100/4

y = 25

4(25) -1 = 99 degrees

3 0

3 years ago

Plz help with this extra points

Ray Of Light [21]

Answer:

- The graphed is attached.

- It's an enlargement.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is 4.

Since:

$4>1$

So it is an Enlargement.

Now we need to multiply the coordinates of the vertices of VWXY by 4, in order to find the coordinates of the vertices of V'W'X'Y'. These are:

$V'=(-1*4,-1*4)=(-4,-4)\\\\W'(-1*4,2*4)=(-4,8)\\\\X'(2*4,-1*4)=(8,-4)\\\\Y'=(2*4,2*4)=(8,8)$

Now we must draw the pre-image and the pre-image and label them, as you see in the picture attached.

3 0

3 years ago