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2 years ago

10. In the figure below, ABCD is a square. DEFC, BCGH and AEFB are all

Mathematics

1 answer:

zysi [14]2 years ago

6 0

Answer:

a) As sides of squares are always equal.

So,

BC=CD

2b+CF=a+b

CF= a+b-2b

CF= a-b

b) Area of rectangle CDEF= CDxCF

=(a+b)(a-b)

=(a²-b²)

Hope it helps :-)

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What does v= bh over 3 for b=2 inches squared and h=32 inches equal

ss7ja [257]

V=bh/3

V=(2*32)/3

V=64/3

V=21.3333 ( Round answer as needed)

6 0

3 years ago

50 PTS ANSWER ALL <3333333

11Alexandr11 [23.1K]

QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

${h}^{2} = {6}^{2} + {8}^{2}$

${h}^{2} = 36+ 64$

${h}^{2} = 100$

$h = \sqrt{100}$

$h = 10cm$

Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

${l}^{2} + {33}^{2} = {55}^{2}$

${l}^{2} = {55}^{2} - {33}^{2}$

${l}^{2} = 1936$

$l = \sqrt{1936}$

$l = 44cm$

Answer:B

QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the values to get,

$d=\sqrt{( - 1-2)^2+(3- - 1)^2}$

$d=\sqrt{( - 3)^2+(4)^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d = 5$

Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

$d=\sqrt{( - 3-2)^2+( - 3- 2)^2}$

$d=\sqrt{( - 5)^2+( - 5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=5\sqrt{2}$

Answer: D

8 0

2 years ago

Read 2 more answers

when gail goes on a hike she always packs a ratio of 20 protien bars to 15 water bottles in her backpack . for a short hike ,gai

dimulka [17.4K]

Answer:

4 bars

Step-by-step explanation:

Gail's ratio of bars to bottles is ...

20 : 15 = 4 : 3

For 3 bottles, she should pack 4 bars.

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3 years ago

Complete the square for 3x^2-12x=9

larisa [96]

Answer:

The solutions are -0.65 and 4.65.

Step-by-step explanation:

3x^2 - 12x = 9

Divide both sides by 3

x^2 - 4x = 3

To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2. So add 4 to both sides.

x^2 - 4x + 4 = 7

(x-2)^2 = 7

x - 2 = (square root) of 7

x = 2 (+/-) (square root) of 7.

x = {-0.65, 4.65}

The solutions are -0.65 and 4.65.

hope this helps:)sorry if it doesnt

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3 years ago

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A diver starts at the wreck of the Varanger and then ascends 8 feet every 5 minutes. What is the diver’s depth after one hour?

Leokris [45]

Answer:

Step-by-step explanation:

60 minutes divided by 5 times 8

96 feet

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2 years ago