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3 years ago

Help me pls.............

Mathematics

1 answer:

labwork [276]3 years ago

6 0

10x - 7y = -1....multiply by -1 to make that -7y positive
-2x - 7y = -25
------------------
-10x + 7y = 1 (result of multiplying by -1)
-2x - 7y = -25
-----------------add
-12x = - 24
x = 2

-2x - 7y = -25
-2(2) - 7y = -25
-4 - 7y = -25
-7y = - 25 + 4
-7y = - 21
y = 3

solution is : (2,3)

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( please help !! )

sergij07 [2.7K]

Answer:

A. Circular base of the bucket

B. Bucket

Step-by-step explanation:

We are given that,

1. The dimensions of the rectangular prism are,

Length = 2 feet, Width = 3 feet and Height = 5 feet.

So, we have,

Area of the rectangular base = $Length\times Width$

i.e. Area of the rectangular base = $2\times 3$

i.e. Area of the rectangular base = 6 feet²

Also, we have,

Volume of the prism = $whl$

i.e. Volume of the prism = $3\times 5\times 2$

i.e. Volume of the prism = 30 feet³

2. The dimensions of the cylinder are given as,

Diameter = 3 feet i.e Radius = $\frac{3}{2}$ = 1.5 feet

Height = 5 feet

Then, we have,

Area of the circular base = $\pi r^2$

i.e. Area of the circular base = $\pi (1.5)^2$

i.e. Area of the circular base = $2.25\pi$

i.e. Area of the circular base = 7.07 feet²

Also, we have,

Volume of the cylinder = $\pi r^{2}h$

i.e. Volume of the cylinder = $\pi (1.5)^{2}\times 5$

i.e. Volume of the cylinder = $\pi 2.25\times 5$

i.e. Volume of the cylinder = $11.25\pi$

i.e. Volume of the cylinder = 35.34 feet³

PART A: Since we have,

Area of the rectangular base = 6 feet² < 7.07 feet² = Area of the circular base

Hence, the circular base of the bucket is larger in area.

PART B: We have,

Volume of the prism = 30 feet³ < 35.34 feet³ = Volume of the cylinder

Hence, the bucket is larger in volume.

3 0

3 years ago

What is the vertex of the graph shown below? Write your answer in the form (x,y)

charle [14.2K]

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
For this case we have that the vertex of the parabola is the point:
(x, y) = (1, 4)
Equivalently:
x = 1
y = 4
answer:
the vertex of the graph shown below is
(x, y) = (1, 4)

7 0

3 years ago

Thank you guys :) will give branliest to the ones that help

Dafna11 [192]

It’s a reflection across the x-axis

6 0

3 years ago

At 5.45pm, lixin, khairul and devi are at the starting point of a 1km circular path. Lixin takes 18 minutes to walk one round. K

hichkok12 [17]

Here you go
hope this helps