All Answers 355923 Answers

Please I need help fast!!

First  one

x  =  180 - 64  - 58  = 58°

Acute ..Isosceles  

Second one :

We have an equilateral triangle  ...each  interior angle  = 60°   = x

Acute...Equiangular....Equilateral....Isosceles  [ some people will debate the "Isosceles" classification...."Isosceles"  is often defined as a triangle having EXACTLY two sides of equal length ]

Last one

x =  [180 - 48 ] / 2 = 132 / 2 =   66°

Acute...Isosceles

You are correct... 

B     ...  3x  = 15   so x  = 5

C   ......  x  = (12 - 8)  = 4  

You were right in both cases ...good job...!!!!

b)  We have an irregular pentagon.... the sum of the interior angles  = 540°

So  x  = 540 - 158  - 122 -  2(90)   =  80°

Middle one at top

We have a triangular prism

The  top/bottom are congruent triangles  with base = 15 in  and height of 7.7 in

So the total area of top/bottom  is    15  * 7.7  = 115.5 in^2

The sides are rectangles with height  of  8 in and widths of  ( 15,15 and 8  in)

So the side area  is     8 [ 15 + 15 + 8 ]  = 8 [ 38  ] =  304 in^2

So..the total surface area is   115.5  + 304  =  419.5 in^2

Er... I don't think that it is...

For one, it says integers

Second, my friend has seen this before and he says it's not 1

Third one  (on top right)

We have a  triangular  pyramid

The sides are 3 congruent triangles  with bases of 9 cm  and heights of 19.2 cm

So...their  total area  is  (3)(1/2) (9) (19.2)   = 259.2 cm^2

The base is a triangle with a base  of  9cm  and a height of 7.8 cm

Its  area is  (1/2) (9)(7.8)  = 35.1 cm^2

So.....the total surface area  is   259.2  + 35.1   =  294.3 cm^2

Thank you! Correct!

If I didn't mis-count :

5 lattice points on the boundary

8 interior points on the y axis

And  using symmetry, we  have  2(8)  = 16 more interior points

So...the total  is  5 + 8  + 16  =    29 lattice points

See the graph here: https://www.desmos.com/calculator/fsvb23vcgb

Nice job,  tertre.....!!!

You are correct,  tertre !!

82-x-29=18, -x=18-82+29=-35, x=35.

No problem!

Haha, that's right! Sorry, I made that mistake. Thanks for correcting me, Terte!

- Daisy

(1) Since it is an equilateral triangle, the angle is 60 degrees.

It is acute, equiangular, isosceles, and equilateral.

(2) 50+2x=180, 2x=130, x=65 degrees.

Acute and isosceles.

f^{-1}(f^{-1}(3))

f^-1 (3)  = 4

So

f^-1 ( f^-1(3) )  =

f^-1 ( 4)  =   7

Since \(x + y + z = 180, x + z = 135\). In the middle triangle, you can see that \(3x = 180\), so \(x = 60\). This means that \(60 + z = 135\) so \(z = 75\).

- Daisy

Problem 1:

This triangle has all the same side lengths, which means it is equilateral. This also means that all the angles are equal to \(60\) degrees. \(x = 60\) and the triangle is all of the following: Acute, Equiangular, Equilateral, and Isosceles. 

Problem 2:

I see you already have the degrees, so let's go straight to classifying the triangle. It is all of the following: Acute and Isosceles.

- Daisy

No problem! I am always happy to help!

Thank you so much!! I've been having a difficult time with these and I appreciate your help!

But, shouldn't you divide 23.4 by 2.20?

I don't know if there is a way for you to change it, you might have to ask an admin!

- Daisy

\(23.4*2.20 = 51.48\). This means that there was \(51.48\) kg of chowders eaten in \(6\) minutes. \(51.48\) kg = \(51480\) g. There are \(3600\) seconds in \(6\) minutes. Our fraction is \(\frac{​​​​51480}{3600} = \frac{1287}{90} = \frac{143}{10}\) chowder eaten in grams per second.

- Daisy

1st one: Base, which is a rectangle: 18*20=360mi^2

2*(1/2*20*14.2) and 2*(1/2*18*14.9)=20*14.2+18*14.9=284+268.2=552.2mi^2

So, 360mi^2+552.2mi^2=912.2mi^2.

5th one: Two trapezoids! No! Area of a trapezoid: 2(51.85)- use the formula=103.7 mi^2.

Rectangles: 2(14*7)=196 mi^2

Bottom rectangle: 5*14=70 mi^2

Top rectangle: 168 mi^2

So, 103.7+196+70+168=537.7? I might be wrong.