Which set of coordinates satisfices the equation 3x-2y=15 and 4x-y=20

Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.

lianna [129]

Answer:

A

Step-by-step explanation:

10-6 X 10-1 = 10-7

5.7*46.2=263.34

263.34=2.6334 x 10^2

10^2 x 10^-7 = 10^-5

so

=2.6334 x 10-5

7 0

3 years ago

An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right

Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324

2x² + 4x + 52 = 4x² - 72x + 324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4 = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0

3 years ago

how many bricks can my truck carry in a full load if each brick weighs 4 pounds 14 ounces and my truck can carry a 3/4 ton load

aleksklad [387]

Answer:

The number of bricks a truck can carry in full load is 308 .

Step-by-step explanation:

Given as :

The weight of each brick = 4 pounds and 14 ounce

The total load a truck can carry = $\dfrac{3}{4}$ tons

Let The number of bricks truck can carry = n bricks

Now, According to question

∵ 1 ounce = 0.0625 pounds

∴ 14 ounce = 0.0625 × 14 = 0.875 pounds

So, Total weight of each brick = 4 pounds + 0.875 pounds = 4.875 pounds

Again

∵ 1 pound = 0.0005 tons

∴ 4.875 pounds = 0.0005 × 4.875 = 0.0024375 tons

Now, Again

The total load a truck can carry = $\dfrac{3}{4}$ tons = 0.75 tons

And The weight of each brick = 0.0024375 tons

So, The number of bricks = $\dfrac{\textrm total load a truck can carry}{\textrm Total weight of each brick}$

I.e n = $\dfrac{0.75}{0.0024375}$

∴ n = 307.69 ≈ 308

So, The number of bricks can truck carry = n = 308

Hence, The number of bricks a truck can carry in full load is 308 . Answer

7 0

3 years ago

Find the slant height of this square pyramid

shutvik [7]

Lateral Surface Area of a square pyramid (4 isosceles triangles): For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s. With 4 sides we need to multiply by 4. (hope this will help)

8 0

3 years ago

Read 2 more answers

2,7,26,101,400 what is the next number

Sedaia [141]

$a_1=2\\a_2=4*a_1-1=4*2-1=7\\a_3=4*a_2-2=4*7-2=26\\a_4=4*a_3-3=4*26-3=101\\a_5=4*a_4-4=4*101-4=400\\a_6=4*a_5-5=4*400-5=1595$

4 0

3 years ago

Which set of coordinates satisfices the equation 3x-2y=15 and 4x-y=20​

Which set of coordinates satisfices the equation 3x-2y=15 and 4x-y=20