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2 years ago

Please help me I don’t understand it’s number 2 2. Select all the pairs that are equivalent.

Mathematics

1 answer:

kenny6666 [7]2 years ago

6 0

Answers 3 and 4! since there is a negative power, that’s the only time the 0’s are added to the front :)

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Can you use SAS (Side-Angle-Side) to prove<br> triangle congruence?

Maurinko [17]

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent

Step-by-step explanation:

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3 years ago

Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 7

motikmotik

Answer:

The 8th term of the sequence is 896/2187.

Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

$\displaystyle x_{n} = a\left(r\right)^{n-1}$

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

$\displaystyle x_{n} = 7\left(\frac{2}{3}\right)^{n-1}$

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

$\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}$

In conclusion, the 8th term of the sequence is 896/2187.

8 0

2 years ago

If △NMO ∼ △XYZ, and the area of △NMO is 147 square feet, find the area of △XYZ

sladkih [1.3K]

The area of △XYZ according to the figure is 363ft²

<h3>Area of triangles</h3>

The formula for calculating the area of a triangle is expressed as:

A = 0.5bh

b is the base
h is the height

<h3>Calculate area of each triangles</h3>

For the triangle △NMO

Area of △NMO = 0.5bh

147 = 0.5b(14/12)

147 = 7b/12

7b = 12 * 147

b = 252

b = 252ft

b = 3024in

Get the base of △XYZ

14/3024 = 22/XZ

XZ = 4,752in

Area of △XYZ = 0.5 (4,752)(22)

Area of △XYZ= 52,272in²

Area of △XYZ = 363ft²

Hence the area of △XYZ is 363ft²

Learn more on area of triangles here: brainly.com/question/17335144

6 0

2 years ago

Which inequality is true?

DiKsa [7]

Answer:

C. 5 $\pi$ > 15

Step-by-step explanation:

In the given series of inequalities, the inequality sign determines the final outcome.

A. 4 $\pi$ - 2 < 10

4 $\pi$ < 12

$\pi$ < 3

Since $\pi$ < 3, then the inequality is false

B. $\pi$ + 9 < 12

$\pi$ < 3

Since $\pi$ < 3, then the inequality is false

c. 5 $\pi$ > 15

$\pi$ > 3

Since $\pi$ > 3, then the inequality is true

D. 6 > 2 $\pi$

3 > $\pi$

Since $\pi$ < 3, then the inequality is false

Thus, the only inequality that is true is option C.

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2 years ago

"Tim's lawn is 20 meters by 30 meters. If Tim can mow 8 square meters of grass per minute, how long will it take him to mow the

frosja888 [35]

One hour and a half

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3 years ago