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babunello [35]
2 years ago
9

In her metalwork class, Anja cut a square of

Mathematics
1 answer:
Paul [167]2 years ago
8 0

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

Area=a^2

Where, a is the edge of the square.

Area of the smaller square is:

A_1=(3.7)^2

A_1=13.69

Area of the larger square is:

A_2=(6.3)^2

A_2=39.69

The area of the remaining tin is:

A=A_2-A_1

A=39.69-13.69

A=26

Therefore, the area of the remaining tin is 26 sq. cm.

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Please help me!! thank youu!!!
beks73 [17]

Answer:

24

Step-by-step explanation:

Area of a triangle

A = 1/2 bh

b=12

h=4

A= 1/2 * 12 * 4

A = 24

7 0
3 years ago
Calcula 40 – {28 – (- 5) + - 9 + (12 – 38 + -25) – (-7)}
Tems11 [23]

Answer:

60

Step-by-step explanation:

This is a simple question.

Good luck!

3 0
3 years ago
I have a right triangle. The hypotenuse is 12. The base is 7 and the other side is 9.7. The sin(x) is 0.014. Cos(x) is 0.99 and
Zanzabum

Answer:

\sin(x)=\frac{\sqrt{95}}{12}=0.8122

\cos(x)=\frac{7}{12} \approx .5833  

\tan(x)=\frac{\sqrt{95}}{7} \approx 1.3924  

x=\sin^{-1}(\frac{\sqrt{95}}{12}) \approx 54.3147 degrees.

I don't know what you want to round to but I can tell you are rounding...

Step-by-step explanation:

Soh Cah Toa is the acronym we will use to help us solve this.

This says sine is opposite over hypotenuse.

It also says cosine is adjacent over hypotenuse.

And finally tangent is opposite over adjacent.

Note:  Opposite and adjacent can change depending on how you are looking at the triangle, like which angle you are referring to.

Let's look at x:

The side that is opposite, not touching, the angle whose measurement is x, is the side that has measurement \sqrt{95} \approx 9.7.

I see you already found this measurement. This is really good.  I might use the exact value for now and round at the end.

The side that is the hypotenuse no matter the angle you are referencing is always going to be opposite the angle whose measurement is 90 degrees. It is also the longest side (since it is opposite the largest angle).  This side has measurement 12.

The hypotenuse will be one of the sides touching your angle you are referencing.  The other side that is touching your angle is the adjacent side.  This side has measurement 7.

Anyways let's plug into the definitions we had above:

\sin(x)=\frac{\sqrt{95}}{12}  (O/H)

\cos(x)=\frac{7}{12}   (A/H)

\tan(x)=\frac{\sqrt{95}}{7}   (O/A)

Now we can solve anyone of these for x.

Take your pick.

\sin(x)=\frac{\sqrt{95}}{12}

x=\sin^{-1}(\frac{\sqrt{95}}{12})

x=54.3147 degrees.  

6 0
3 years ago
Translate this sentence into an equation.
lyudmila [28]

Answer:

5 x m = 55

Step-by-step explanation:

This is because 55 is the product and this means multiplication and 5 x something is 55

4 0
2 years ago
Matrix is handing out treats at a local protest to promote his new detective agency. He allows each participant to reach into hi
melomori [17]

Answer:

D. Swordfish treat: 20%

Lizard Lollies : 50%

Puffer pops: 30%.      

Step-by-step explanation:  

We are told that Matrix is handing out treats at a local protest to promote his new detective agency.

Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.  

We know that \text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}.

Let us find probability of choosing each type of treat one by one.

\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}

\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}

\text{Probability of choosing swordfish treat}=\frac{4}{20}

\text{Probability of choosing swordfish treat}=0.20

Therefore, the probability of choosing swordfish treat is 0.20 or 20%.

\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}    

\text{Probability of choosing lizard Lollies}=\frac{10}{20}

\text{Probability of choosing lizard Lollies}=0.50

Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.

\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}

\text{Probability of choosing puffer pops}=\frac{6}{20}

\text{Probability of choosing puffer pop}=0.30  

Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.

Upon looking at our given choices we can see that option D is the correct choice.

4 0
3 years ago
Read 2 more answers
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