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3 years ago

PLEASE HELP AND SHOW YOUR WORK IM CONFUSED!

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

There is supposed to be a graph with this question so I wouldn’t be able to answer

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Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the

Mandarinka [93]

You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard. If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
8 yards x 3 = 24

To find the area using these dimensions, you will use the formula for finding the area of a triangle.

A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards

The area of the backyard is 216 square yards.

8 0

3 years ago

0=-20.5x+16.35x-0.1245

Pachacha [2.7K]

The value of x in the given equation $-20.5x+16.35x -0.1245 = 0\\$ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that $-20.5x+16.35x -0.1245 = 0\\$

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ $(-20.5x+16.35x) - 0.1245 = 0$

⇒ $4.15x-0.1245 = 0$

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ $4.15x -0.1245+0.1245 = 0.1245$

⇒ $4.15x = 0.1245$

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ $4.15x / 4.15 = 0.1245/4.15$

⇒ $x = 0.03$

Therefore, the value of x is 0.03

7 0

3 years ago

A. [4 marks]

storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is $u_{n}=u_{1}+(n-1)d$ , where

$u_{1}$ is the first term
d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is $u_{n}=u_{1}r^{n-1}$ , where

$u_{1}$ is the first term
r is the common ratio between each two consecutive terms $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∵ $u_{1}$ of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ $u_{2}$ , $u_{3}$ , $u_{6}$ are the first 3 terms of a geometric sequence

∵ $u_{2}$ = 1 + (2 - 1)d

∴ $u_{2}$ = 1 + d

∵ $u_{3}$ = 1 + (3 - 1)d

∴ $u_{2}$ = 1 + 2d

∵ $u_{6}$ = 1 + (6 - 1)d

∴ $u_{2}$ = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

(1 + 5d)

∵ The common ratio in the geometric sequence is $r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}$

∴ $r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

- Use cross multiplication with the equal fractions

∵ $\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}$

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0

3 years ago

Select the postulate that is illustrated for the real numbers. 2(x + 3) = 2x + 6 The commutative postulate for multiplication Mu

madam [21]

Answer:

Step-by-step explanation:

Postulate 5: If two planes intersect, then their intersection is a line.

4 0

3 years ago

Read 2 more answers

PLEASE help me ; - ; (USAtest prep)

nadezda [96]

What do u want help with and take it easy btw

4 0

2 years ago