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3 years ago

7

In an arithmetic sequence {an}, if a1 = 5 and d = 3, find a72.

1 answer:

sleet_krkn [62]3 years ago

4 0

The nth term (an) of the arithmetic sequence is calculated through the equation,
an = a1 + (n - 1)(d)
where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference. Substituting the known values,
a72 = 5 + (72 - 1)(3)
a72 = 218

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Solve for x<br> Please help

Igoryamba

Answer:

3. A; 4. C; 5. D; 6. D

Step-by-step explanation:

3. By Pythagorean theorem, x^2=100-64=36, x=6

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3 years ago

Y=-x <br>y=-7x<br><br>solve system of equations algebraically <br>

snow_lady [41]

Answer:

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Step-by-step explanation:

Let both as equation (1) and (2)

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3 years ago

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a sca

BigorU [14]

Answer:

Length of scale = 15 cm

Width of scale = 5 cm

Step-by-step explanation:

Dimensions of the kitchen of Mai are given as:

Length of kitchen = 6 m

Width of kitchen = 2 m

Scale to be used = 1 to 40

To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = $\frac{1}{40}$ units of scale

6 m of kitchen = $\frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm$

Length of scale = <em>15 cm</em>

40 units of kitchen = 1 unit of scale

1 unit of kitchen = $\frac{1}{40}$ units of scale

2 m of kitchen = $\frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm$

Width of scale = <em>5 cm</em>

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Please refer to the attached image as well for representation of given scale.

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3 years ago