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4 years ago

Basic: surface area of a cone to nearest whole unit

1 answer:

3 0

If it helps you any $\bf \textit{total surface area of a cone}\\\\
S=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad 
\begin{cases}
r=radius\\
h=height
\end{cases}$

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The temperature in Lukeville is -13°C the temperature in Metroburg is 12°C what is the difference between the temperatures in th

yan [13]

The difference is 25 because 12 - 25 = -13

8 0

3 years ago

What is the perimeter and area of the shape given?

anygoal [31]

The perimeter of the given shape is 63.50 units and its area is 170.625 square units.

Step-by-step explanation:

Step 1:

First, we need to determine the distance between each of the points in the shape ABCDEFGH.

There are vertical lines and horizontal lines. The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

Step 2:

Distance of line AB, 15 - 4.5 = 10.5,

Distance of line BC, 14 - 8 = 6,

Distance of line CD, 15 - 10 = 5,

Distance of line DE, 8 - 3 = 5,

Distance of line EF, 15 - 10 = 5,

Distance of line FG, 3 - (-2.25) = 5.25,

Distance of line GH, 15 - 4.5 = 10.5 and

Distance of line AH, 14 - (-2.25) = 16.25.

Step 3;

The area of ABCDEFGH = The area of ABGH - the area of CDEF.

The area of ABGH = Length × Width = AH × AB = 16.25 × 10.5 = 170.625 square units.

The area of CDEF = Length × Width = CD × DE = 5 × 5 = 25 square units.

The area of ABCDEFGH = 170.625 - 25 = 145.625 square units.

Step 4:

The perimeter of shape ABCDEFGH is just the sum of all its lines.

Perimeter of ABCDEFGH = 10.5 + 6 + 5 + 5 + 5 + 5.25 + 10.5 + 16.25 = 63.50 units.

7 0

3 years ago

In triangle $abc$, $m\angle a = 90^\circ$, $m\angle b = 75^\circ$, and $bc = \sqrt {3}$ units. what is the area of triangle $abc

andrey2020 [161]

As we can see from the angles given, one is 90 degrees, the triangle should be a right triangle. We are given the two angles and one side which would represent the hypotenuse or the longest side. The area of a triangle is calculated from one half the product of its base and its height. From the given values, we need to calculate for the height and base. We do as follows:

sin 75 = height / √3
height = 1.67

cos 75 = base / √3
base = 0.45

Area = bh/2
Area = (0.45) (1.67) / 2
Area = 0.37 square units

Therefore, the area of the triangle is about 0.37 square units.

3 0

4 years ago

6. What’s the answer to this question?

4vir4ik [10]

Answer:C

Step-by-step explanation: The price to hire the cab is $2.50.

6 0

3 years ago

Please help me! I would appreciate it! :)

Helga [31]

Answer:

v= -2

Step-by-step explanation:

10+2v=−6(3v+5)

Step 1: Simplify both sides of the equation.

10+2v=−6(3v+5)10+2v=(−6)(3v)+(−6)(5)(Distribute)10+2v=−18v+−302v+10=−18v−30Step 2:

Add 18v to both sides.

2v+10+18v=−18v−30+18v20v+10=−30

Step 3:

Subtract 10 from both sides

.20v+10−10=−30−1020v=−40

Step 4:

Divide both sides by 20.20v20=−4020v=−2

Answer:v=−2

4 0

2 years ago

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