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Vedmedyk [2.9K]
3 years ago
5

A pencil and an eraser cost € 1.40 (total cost).

Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

Eraser cost €0,2

Step-by-step explanation:

Cost of ereaser - x

Cost of pencil - x + 1

x + x + 1 = 1,4

2x + 1 = 1,4

2x = 0,4

x = 0,2

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What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

5 0
3 years ago
Read 2 more answers
Help me pls, I'm confused ​
ivann1987 [24]

Answer: A B and C

Step-by-step explanation:

D has an area of 15 and A B and C have an area of 12.

4 0
2 years ago
Read 2 more answers
Can someone help me figure out the answer?
Marina86 [1]

Answer:

f(t) = 5×0.87^t

Step-by-step explanation:

The general form for an exponential function described in this fashion is ...

... f(t) = (starting value) × (1 + (percent change))^t

Here, the "percent change" is -13%, or -0.13.

Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...

... f(t) = 5 × 0.87^t

3 0
2 years ago
3 + 4 = ?<br> וא<br> 2/3+2/4
Elina [12.6K]

Answer:

1. 7

2. 17/12 can be a mixed number

8 0
2 years ago
Find the perimeter of WXYZ. Round to the nearest tenth if necessary.
yanalaym [24]

Answer:

C. 15.6

Step-by-step explanation:

Perimeter of WXYZ = WX + XY + YZ + ZW

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} to calculate the length of each segment.

✔️Distance between W(-1, 1) and X(1, 2):

Let,

W(-1, 1) = (x_1, y_1)

X(1, 2) = (x_2, y_2)

Plug in the values

WX = \sqrt{(1 - (-1))^2 + (2 - 1)^2}

WX = \sqrt{(2)^2 + (1)^2}

WX = \sqrt{4 + 1}

WX = \sqrt{5}

WX = 2.24

✔️Distance between X(1, 2) and Y(2, -4)

Let,

X(1, 2) = (x_1, y_1)

Y(2, -4) = (x_2, y_2)

Plug in the values

XY = \sqrt{(2 - 1)^2 + (-4 - 2)^2}

XY = \sqrt{(1)^2 + (-6)^2}

XY = \sqrt{1 + 36}

XY = \sqrt{37}

XY = 6.08

✔️Distance between Y(2, -4) and Z(-2, -1)

Let,

Y(2, -4) = (x_1, y_1)

Z(-2, -1) = (x_2, y_2)

Plug in the values

YZ = \sqrt{(-2 - 2)^2 + (-1 -(-4))^2}

YZ = \sqrt{(-4)^2 + (3)^2}

YZ = \sqrt{16 + 9}

YZ = \sqrt{25}

YZ = 5

✔️Distance between Z(-2, -1) and W(-1, 1)

Let,

Z(-2, -1) = (x_1, y_1)

W(-1, 1) = (x_2, y_2)

Plug in the values

ZW = \sqrt{(-1 -(-2))^2 + (1 - (-1))^2}

ZW = \sqrt{(1)^2 + (2)^2}

ZW = \sqrt{1 + 4}

ZW = \sqrt{5}

ZW = 2.24

✅Perimeter = 2.24 + 6.08 + 5 + 2.24 = 15.56

≈ 15.6

5 0
3 years ago
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