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3 years ago

Which statement represents the expression?

Mathematics

2 answers:

iVinArrow [24]3 years ago

8 0

Answer: I think it’s the 3rd one.

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72

Hope it helps, have a great day!

Paul [167]3 years ago

6 0

Answer:

Should be the third one

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72 |•-•|

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Manuel is planting a garden in the shape of a right triangle. The longer leg is 3 ft longer than the shorter leg. The hypotenuse

Gnesinka [82]

Answer:

The length of shorter side of triangle is 9 cm

The length of longer side of triangle is 12 cm

The length of hypotenuse is 15 cm

Step-by-step explanation:

Given as , for the garden in the shape of right triangle :

Let The length of shorter side = B = x ft

So , the length of longer side = P = ( x + 3 ) ft

And The hypotenuse length = H = ( 3 + P ) ft

I.e H = ( 3 + x + 3 ) ft = ( x + 6 ) ft

Now<u> from Right angled Triangle method </u>

Hypotenuse² = Perpendicular² + Base²

Or, ( x + 6 )² = ( x + 3 )² + x²

Or, x² + 12 x + 36 = x² + 6 x + 9 + x²

Or, - x² + 6 x + 27 = 0

Or, - x² + 9 x - 3 x + 27 = 0

Or, - x ( x - 9 ) - 3 ( x - 9 ) = 0

So, ( x - 9 ) ( - x - 3 ) = 0

∴ x = 9 , - 3

So, shorter length = x = 9 cm

The longer length = x + 3 = 9 + 3 = 12 cm

The hypotenuse length = x + 6 = 9 + 6 = 15 cm

Hence The length of shorter side of triangle is 9 cm

The length of longer side of triangle is 12 cm

And The length of hypotenuse is 15 cm . Answer

6 0

3 years ago

Which describes a cost method of solving systems of equations by using addition, subtraction, multiplication, or division to get

uysha [10]

Answer:

Step-by-step explanation:

eliminating systematic measurement errors caused by errors in the measuring instrument used to compare the quantity being measured with a standard.

The elimination method is the process of solving the system of equations, by cancelling unknowns in the system. This makes more simple to solve and easy to solve for the resting unknowns.

Equation solving. A solution is an assignment of expressions to the unknown variables that makes the equality in the equation true. In other words, a solution is an expression or a collection of expressions (one for each unknown) such that, when substituted for the unknowns, the equation becomes an identity .

7 0

4 years ago

HELP PLEASE WITH PART A AND B!!!!!

Elden [556K]

<h2>a. Answer:</h2>

For this question we'll use the following method:

1. Let's subtract old value from new value

185$-160$ = -25$

The negative value implies that the price has decreased

2. Divide the result by the old value

25$/185$ = 0,1351

3. Convert this value to percentage:

0,1351 x 100 = 13,51%

Finally, by rounding to the nearest tenth:

13,5%

That means 13,5% decrease

<h2 /><h2>b. Answer:</h2>

1. Let's subtract old value from new value

77$-56$ = 21$

The positive value implies that the price has increased

2. Divide the result by the old value

21$/77$ = 0,2727

3. Convert this value to percentage:

0,2727 x 100 = 27,3%

Finally, by rounding to the nearest tenth:

27,3%

That means 27,3% increase

8 0

3 years ago

A Web music store offers two versions of a popular song the size of the standard version is 2.7 MB the size of a high-quality ve

sertanlavr [38]

Answer:

480

Step-by-step explanation:

Let h represent the number of high-quality downloads. Then the total download size is ...

4.1h +2.7(1130-h) = 3723

1.4h = 672 . . . . . . . . . . . . . . subtract 2.7·1130 = 3051

h = 480 . . . . . . . divide by 1.4

There were 480 downloads of the high-quality version.

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3 years ago

What is the range of values for X?

guajiro [1.7K]

Answer:

6 < x < 30

Step-by-step explanation:

By the Hinge Theorem, we know that

Angle BAC > Angle DAC

The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.

When we compare the two angles 48 and (2x-12), we now know that 48 is larger.

48 > 2x-12

48+12 > 2x

60 > 2x

60/2 > x

x < 30

Furthermore, angle DAC can't be negative or zero

2x - 12 > 0

2x > 12

x > 6

4 0

3 years ago

Read 2 more answers