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3 years ago

8

. Diane made a design using a small square, a medium square, and a large square. She shaded the small square and the outer regio

n.

1 answer:

Anon25 [30]3 years ago

5 0

Wow, that was inspiring.

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What is ∑n=16[4(−5)n−1] equal to?<br><br> Enter your answer in the box.

Cerrena [4.2K]

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...<em>take n from the top of the summation.</em>

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

4 0

2 years ago

Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized

Roman55 [17]

Answer:

Option B.

Step-by-step explanation:

The given triangle is a right angle triangle.

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

In the given triangle,

$\tan (45^{\circ})=\dfrac{v}{7}$

$1=\dfrac{v}{7}$

$7=v$

Using Pythagoras theorem, we get

$hypotenuse^2=Perpendicular^2+Base^2$

$u^2=v^2+7^2$

$u^2=7^2+7^2$

$u^2=2(7^2)$

Taking square root on both sides, we get

$u=\sqrt{2(7^2)}$

$u=7\sqrt{2}$

Therefore, the correct option is B.

6 0

3 years ago

Simplify 2/5+2/5-7/15<br>

almond37 [142]

Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

6 0

3 years ago

Read 2 more answers

Solve the inequality<br> |r+3|> 7

Vinil7 [7]

Absolute value so the answer can be positive or negative
R+3>7
-3>-3
R>4
Or
R-3>7
+3>+3
R>10

Answer
410

4 0

3 years ago

Read 2 more answers

Griffin's Goat Farm, Inc., has sales of $671,000, costs of $333,000, depreciation expense of $77,000, interest expense of $48,50

Alchen [17]

Net income for the firm = $161,500

Step-by-step explanation:

Step 1 :

Total sales of the goat farm = $671,000

Cost incurred = $333,000

Depreciation expense = $77,000

Interest expense = $48,500

We need to compute the net income of the firm

Step 2 :

The profit before tax can be computed by subtracting all the expenses from the sale.

Total expenses of the firm = 333,000 + 77,000+ 48,500 = $458,500

Profit before tax = 671,000 - 458,500 = $212,500

Step 3 :

Percentage of tax for the firm = 24%

Amount of tax for the firm = 24% of 212500 = 51000

Net income = Total profit after tax = 212500 - 51000 = 161,500

Step 4 :

Answer :

Net income for the firm = $161,500

3 0

4 years ago