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3 years ago

Please I need help with this math homework ASAP thank you!

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

Answer:

$\sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4$

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Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.

gregori [183]

Answer:

81 cm²

Step-by-step explanation:

Since, the lateral face of a triangular pyramid is a triangle,

Given,

The base edge or the base of one lateral face of pyramid, a = 6 cm,

And, the slant height or the height of the face, k = 9 cm,

Thus, the area of one lateral face of the pyramid,

$A=\frac{1}{2}\times a\times k$

$=\frac{1}{2}\times 6\times 9$

$=\frac{54}{2}$

$=27\text{ square cm}$

We know that, a Regular triangular pyramid has 3 lateral faces,

Hence, the total lateral area of the pyramid,

$L.A.=3\times\text{ The area of one lateral face}$

$=3\times 27$

$=81\text{ square cm}$

5 0

3 years ago

Read 2 more answers

If a^2+b^2= 4 and ab = 5, what is the value of (a+b)^2? A. 10 B. 12 C. 14 D. 16

wlad13 [49]

Answer:

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4 and ab= 5

4 + 2(5)

4+10

5 0

3 years ago

Read 2 more answers

The equation y = 35.25x + 40 gives the labor cost y of repairing a car if it takes x hours to repair the car. Which statement is

Ad libitum [116K]

Repari cost (x) = y = 35.25 x + 40

x = number of hours to repair the car.

Every hour the cost will increase 35.25, becasue 40 is a fixed cost.

if x = 1, repair cost(1) = 35.25 + 40

if x = 2, repair cost (2) = 35.25*2 + 40

if you subtract repair cost (1) from repair cost (2) you get 35.25*2 - 35.25 = 35.25

The same thing every time the repair time increases one hour.

Answer: the last option of the list, for every hour of labor, the cost increases by $35.25

5 0

3 years ago

Find c and round to the nearest tenth. thank you in advance

PSYCHO15rus [73]

Answer and Step-by-step explanation:

90ft = a

55ft = b

50ft = c

Plug into equation.

$50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4$