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3 years ago

Round to the nearest tenth.

Mathematics

1 answer:

blagie [28]3 years ago

3 0

Answer:

0.75 rounded is 0.80 and 5.25 rounded is 5.30 and add 0.80+5.30=6.10

Step-by-step explanation:

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A rectangular turtle aquarium is 6 ft long by 4 ft wide. The aquarium is enlarged by increasing

My name is Ann [436]

Answer:

8ft x 6ft

Step-by-step explanation:

For this problem, we want to create measurements of length and width that double our current area. First we need to find the current area.

C_Length = 6 ft

C_Width = 4 ft

C_Area = C_Length * C_Width

C_Area = 6 ft * 4 ft = 24 ft^2

Now we want our new area to be double the old area.

N_Area = 2C_Area

N_Area = 2 * 24 ft^2

N_Area = 48 ft^2

Now we simply need to find the increase in width and length, distributed equally, that will create the new area.

N_Area = (C_Length + x) * (C_Width + x)

Where x is the amount that each variable is increased by to create the new area.

Now we simply solve for x.

N_Area = (C_Length + x) * (C_Width + x)

48 = (6 + x) * (4 + x)

48 = 24 + 10x + x^2

0 = -24 + 10x + x^2

Now we can either apply the quadratic formula or attempt to factor using the constant break down method.

(x + 12) (x - 2) = 0

x = -12; x = 2

Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.

Now we can check to validate our answer by plugging in the value of x.

48 ?= (6 + 2) * (4 + 2)

48 ?= (8) * (6)

48 == 48

Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.

Cheers.

6 0

2 years ago

Multiply.

marissa [1.9K]

5 times 7.14 is 3.5 times 6.78 is 242.046 times is 1382566.752

5 0

2 years ago

Letry. 14 Chapter 9: Chapter 9 rest Chapter Test

BaLLatris [955]

Answer:

h = 7.1 cm

Step-by-step explanation:

To find the height of the triangle, we can first find the area of the triangle using the Heron's formula:

$S = \sqrt{p(p-a)(p-b)(p-c)}$

Where a, b and c are the sides of the triangle and p is the semi perimeter of the triangle:

$p = \frac{a+b+c}{2} = \frac{15 + 8 + 17 }{2} = 20\ cm$

So the area of the triangle is:

$S = \sqrt{20(20-15)(20-8)(20-17)}$

$S = 60\ cm^2$

Now, to find the height, we can use the following equation for the area of the triangle:

$S = base * height/2$

The height draw in the figure is relative to the side of 17 cm, so this side is the value of base used in the formula. So we have that:

$60 = 17 * h/2$

$h = 120/17$

$h = 7.06\ cm$

Rounding to the nearest tenth, we have h = 7.1 cm

4 0

3 years ago

Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ .

IgorC [24]

Answer:

It's B). Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.

Step-by-step explanation:

just took the test

4 0

2 years ago

Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}

Alecsey [184]

Answer:

the answer is 9.5 (B)

Step-by-step explanation:

4 0

2 years ago