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Ksivusya [100]
3 years ago
13

Which graph represents the solution of the system of inequalities?

Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0

You need to rewrite the first equation to solve for y to get y >1+3x

Then graphing the two equations, the bottom right becomes the correct answer.

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Craig has a building block in the shape of a rectangular pyramid. A net of which is shown below.
Alex787 [66]

Answer:

the answer is D: 294 sq. cm

Step-by-step explanation:

first you want to split the net into 4 triangles and 1 rectangle

a = 12 cm

b =  6 cm

d = 13 cm

calculate the surface area of the pyramid...

1st find the area of the rectangle base

Rectangle base area

b x a = (6 cm) (12 cm)

= 72 sq. cm

next find the area of the triangle on the left

Left triangle

1/2(b)(d) = 1/2 (6 cm)(13 cm)

= 1/2 (78 sq cm)

= 39 sq. cm

Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left & right triangles

= 2 (39 sq. cm)

= 78 sq. cm

Find the area of the triangle on the bottom

Bottom triangle area = 1/2 (a)(a)

= 1/2 (12 cm) (12 cm)

= 1/2 (144 sq. cm)

= 72 sq. cm

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles

2 (72 sq. cm) = 144 sq. cm

Finally...add the area of the 4 triangles to the area of the rectangular base

72 + 78 + 144 = 294 sq. cm

3 0
3 years ago
Please help solve<br><br> -3(5x-3)&lt;4(x+3)-12
aleksley [76]
Expand first and then move all the x terms to one side.

make sure when u are moving the x terms flip the sign AND inequality sign.
6 0
3 years ago
selim is ordering concrete spheres to place as barriers in the city park. the spheres cost $2 per square foot, and selim can spe
hoa [83]

The maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

<h3>How to determine the diameter</h3>

The formula for area of a sphere is expressed as;

Area = 4 πr²

If Selim paid $2 per square foot and have a maximum of $20 per square

The area he can purchase is;

= $20/$2

= 10$

Substitute the value into the formula

10 = 4πr²

10 = 4 × 3. 142 ×  r²

10 = 12. 568r²

Make 'r²' the subject

r² = 10/ 12. 568

r² = 0. 79

Find the square root of both sides

r = √0. 79

r = 0. 89

But diameter = 2(radius)

Diameter = 2 × 0. 89 = 1. 78 ft

Thus, the maximum diameter of the spheres he can purchase is  1. 78 ft. Option C

Learn more about spheres here:

brainly.com/question/10171109

#SPJ1

8 0
1 year ago
As an estimation we are told £3 is €4.
vova2212 [387]

Answer:

To solve the above problem we will use the unitary method as follows

As estimated  If £ 3 is equivalent to € 4

Then, £ 1 will be equivalent to = € \frac{4}{3}

£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311

Now you have to round the answer up to 2 decimal points to get the final answer

€ 86.1311 ≈ € 86.13

Thus, £ 64.60 is approximately equal to  € 86.13.

Step-by-step explanation:

hope this helps if not let me now

3 0
2 years ago
Which of the following is a possible situation for the graph shown?
docker41 [41]

Step-by-step explanation:

but the graph is not given here

4 0
2 years ago
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