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Viktor [21]
4 years ago
7

A student is building a diamond-shaped kite in his science class. To construct the kite, the student has assembled four congruen

t right triangle pieces of fabric to form the diamond. The diagonals of the kite are perpendicular to one another. If angle ABC on the side of the kite is 2004-02-02-01-00_files/i0310000.jpg, what will angle BCD on the tail end of the kite be? 

Mathematics
1 answer:
Ahat [919]4 years ago
3 0
Δ CBE is a right triangle.
∠EBC = 1/2 ∠ ABC = 1/2 · 116° = 58°
∠EBC + ∠ECB = 90°
∠ECB = 90° - 58° = 32°
∠DCB = 2 · 32° = 64°
Answer: c ) 64
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Hello again. if someone gives me a hand with this book thickness excercise please thanks
geniusboy [140]

Answer:

Known:

• a book have front, back and 200 pages

• front= 0.7 mm

• back= 0.7 mm

• each page= 0,14 mm

ask:

calculate the minimum thickness...?

answer:

a. 200 p × 0,14 = 28 mm

b. front + back = 0.7+0.7= 1.4 mm

Thickness= 28+1,4 = 29,4 mm

I hope this helps

if u have question let me know in comments^_^

8 0
4 years ago
Help I guess? sorry I'm asking a lot of questions today
valina [46]

Answer:

63 houses have been sold this year.

Step-by-step explanation:

There are 81 houses in the community. If 7/9 are sold this year, then all you have to do is multiplication.

In this case, you would multiply 81 by 7/9 to get your answer.

81/1 x 7/9:

Cancel out the 9 and the 81. Then the denominator will be 1 x 1 and the numerator would be 7 x 9. It would be 63 (7x9=63) over 1 (1x1=1) which is just 63. Make sure to include units.

4 0
3 years ago
Read 2 more answers
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , thus

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
Reading Readiness, Inc. has provided you its list of accounts and balances as of January 31. The Controller has asked you to pre
xeze [42]

The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:

Reading Readiness, Inc.

Income Statement

For the month ended January 31

Sales Revenue              $175,500

Less:

Sales Returns                      4,700

Sales Discounts                  6,000

Net Sales                     $164,800

Cost of Goods Sold         67,700

Gross profit                    $97,100

Expenses:

Salaries and Wages     $25,900

Depreciation Expense    13,800

Rent Expense                24,000

Operating expenses   $63,700

Operating income     $33,400

Interest Expense              1,600

Income before tax     $31,800

Income tax expense       7,700

Net income                 $24,100

Data and Calculation:

Gross profit percentage = 59% ($97,100/$164,800 x 100)

Thus, the net income after deducting the income tax expense is $24,100.

Learn more: brainly.com/question/24257787

4 0
3 years ago
Matlab a farmer wishes to build a rectangular pen for his animals out of 40 feet of fencing what should be the length and width
ASHA 777 [7]
Width=w
length=(40-2w)/2=20-w
A=w(40-w)
A=40w-w²
A'=40-2w=0
2w=40
w=20

20x20 is the size of the pen having the greatest area. this tells us the largest rectangle for a given perimeter is a square
8 0
3 years ago
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