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Kipish [7]
3 years ago
13

This hanger is in balance. There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. W

hat is the weight of each circle, in grams?
Mathematics
1 answer:
dangina [55]3 years ago
3 0

Answer:

8/3 gram

Step-by-step explanation:

Since the hanger is said to be in balance, then the weight on the right balances the weight on the left ;

Right hand side = Left hand side

12 = 4 + x + x + x

12 = 4 + 3x

12 - 4 = 3x

8 = 3x

8/3 = 3x / 3

x = 8/3 gram

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Find the Area of the figure below, composed of an isoceles trapezoid and one
MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can  find the total area  dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then          

step one

find the area of the isosceles trapezoid using

A=\frac{a+b}{2}*h

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14

Step two

find the area of the semicircle

the area of a circle is given by

A_{c}=\pi  \frac{d^{2}}{4}\\

but, we need the area of  half circle, we need divide this by 2

A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}

now the diameter of the semicircle is 2, put this value into the equation

A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\

find the total area

total area= area of the trapezoid +area of the semicircle

total\ area= 14+\frac{\pi }{2} \\total\ area=15.6

so, the total area is 15.6 square units

Have a good day.

5 0
3 years ago
Can someone help me please ?
sweet-ann [11.9K]
I hope this helps you

4 0
3 years ago
Find the area of the trapezoid
Alexandra [31]

Answer:

\sf area \  of \ trapezoid \ =375 \ mm^2

Explanation:

\sf area \  of \ trapezoid \ = \dfrac{1}{2} * ( base \  1 + base \ 2 ) * height

using the formula:

\sf area \  of \ trapezoid \ = \dfrac{1}{2} * ( 14+ 36 ) * 15

\sf area \  of \ trapezoid \ = \dfrac{1}{2} * ( 50 ) * 15

\sf area \  of \ trapezoid \ =25 * 15

\sf area \  of \ trapezoid \ =375 \ mm^2

5 0
2 years ago
Read 2 more answers
Back Next
emmasim [6.3K]

Answer:

C

Step-by-step explanation:

✔️First, solve for r:

r/2 ≤ 3

Multiply both sides by 2

r/2 × 2 ≤ 3 × 2

r ≤ 6

This implies that possible value of r is equal to 6 or less than 6.

Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.

This indicates that value of r ranges from 6 and below.

The graph is C.

7 0
3 years ago
Please help me with my math if you could explain that would be even better
Dmitriy789 [7]

Answer: 2x(5x+4x-3)

             10x squared + 8x squared -6x

7 0
3 years ago
Read 2 more answers
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