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PSYCHO15rus [73]
3 years ago
13

The are of the shape is __ square centimeter

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=<u>23</u>

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to <u>4.</u>

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=<u>8</u>  

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

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What is the ratio a:b if 8a=3b?
Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

8a=3b

Dividing both sides by 8

\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}

Dividing both sides by b

\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

5 0
3 years ago
What is 32.043 in expanded form?
SashulF [63]
30 + 2 + 0.04 + 0.003
7 0
3 years ago
Ally works in a shop for $18 per hour dependent
meriva
Independent is hour
Dependent is her rate ($18) because it DEPENDS on how long she works
3 0
3 years ago
Triangle ABCis rotated 90° clockwise around the origin to get
Elanso [62]

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

7 0
2 years ago
The table shows a student's proof of the quotient rule for logarithms.
nikklg [1K]

Answer:

The error is at step (3) .

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

5 0
3 years ago
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