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2 years ago

I want a way to solve this question

Mathematics

1 answer:

AURORKA [14]2 years ago

5 0

Answer:

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = $\frac{b^2+c^2-a^2}{2bc}$

= $\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}$

= $\frac{26.01+32.49-53.29}{58.14}$

= $\frac{5.21}{58.14}$ , then

∠ A = $cos^{-1}$ ( $\frac{5.21}{58.14}$ ) ≈ 84.9° ( to 1 dec. place )

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I need help with these

IrinaVladis [17]

Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)

6 0

3 years ago

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A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width

Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = $1\ m=100\ cm$

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

$Length=4x+5$

Now we use the formula of perimeter of rectangle,

$Perimeter=2(Length+width)$

On substituting the values, we get;

$2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9$

Now, we substitute the value of x to get the value of length;

$Length=4x+5=4\times9+5=36+5=41\ cm$

Thus, Width=9 cm Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0

3 years ago

Solve (x – 3)2 = 49. Select the values of x.

PIT_PIT [208]

Answer:

Step-by-step explanation:

$(x - 3)2 = 49 \\ \frac{(x - 3)2}{2} = \frac{49}{2} \\ x - 3 = 24.5 \\ x - 3 + 3 = 24.5 + 3 \\ x = 27.5 \\$

6 0

2 years ago

Read 2 more answers

Will give brainliest!!

Inessa05 [86]

It’s actually B Bc the little 1 by the 10 is meaning that you are gonna multiply 10x10 one time. Then multiply by 7. 10x10=100 100x7=700 so there for your answer is B

4 0

3 years ago

I don't know how to do this

Gre4nikov [31]

Answer:

x = -11/5 and y = 24/5

Step-by-step explanation:

Use elimination.

First, we need to multiply so that at least one variable can cancel out.

We can multiply the top equation by 2.

So we get

4x + 6y = 20

Then, we can use elimination.

The x's cancel out.

So we get 5y = 24

Or y = 24/5

Then, we can plug in this y value back into the first equation to find x.

2x + 3(24/5) = 10

2x + 72/5 = 50/5

2x = -22/5

x = -11/5

So x = -11/5 and y = 24/5

5 0

3 years ago

I want a way to solve this question​

I want a way to solve this question