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Vsevolod [243]
2 years ago
13

What is bigger 5.65 or 5.7

Mathematics
1 answer:
larisa86 [58]2 years ago
8 0

Answer:

5.7

Step-by-step explanation:

5.7 is the bigger because is it after 5 it is 7 but in the 5.65 after 5 it is 6

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Find the value of each variable. If you give the decimal value, round to the nearest tenth.
DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

Sum of all the angles of a triangle = 180°

60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2

⇒ 6^2+\text{opposite}^2=12^2

⇒ 36+\text{opposite}^2=144

⇒ \text{opposite}^2=108

⇒ \text{opposite}=6\sqrt3=10.4

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0
3 years ago
Suppose you go to an ice cream shop which allows you to choose from 7 flavors of ice cream and 5 toppings. if you decide to get
alexdok [17]

The order doesn't matter.

k objects can be chosen out of n objects, when the order doesn't matter, in C(n,k)=\dfrac{n!}{k!(n-k)!} ways.

So, the answer is C(7,2)\cdot C(5,3)=\dfrac{7!}{2!5!}\cdot\dfrac{5!}{3!2!}=\dfrac{6\cdot7}{2}\cdot\dfrac{4\cdot5}{2}=210 ways.

8 0
3 years ago
What is the equation of the line that passes through the point (8,-8) and has a slope of -1
marishachu [46]

Answer:

y= (-1)*x

Step-by-step explanation:

lets assume that the line equation is

y=m*x +b

where m is the slope and b the independent variable that intercept Y axis.

then replacing the value of m:

y=(-1)*x + b

after that we have to look for the value of b. Its obtained replaicing the given point (8,-8):

-8 = (-1)*(8) +b

-8 = -8 + b

0 = b

Therefore the equation of the line is:

y= (-1)*x

8 0
3 years ago
The height of a cylinder is 5 centimeters. The diameter of the base of the cylinder is
alexgriva [62]

The lateral surface area of the cylinder is option A) 251.3 cm²

<u>Step-by-step explanation:</u>

It is given that,

  • The height of a cylinder is 5 centimeters.
  • The diameter of the base of the cylinder is  16 centimeters.

<u>To find the radius of the cylinder :</u>

Radius = Diameter / 2

⇒ 16/2

⇒ 8 centimeters.

  • The radius of the cylinder is 8 centimeters.

<u>To find the lateral surface area of the cylinder :</u>

The lateral surface area of the cylinder = 2πrh

where,

  • π the default value of 3.14
  • r is the radius
  • h is the height

∴ The lateral surface area of the cylinder = 2×3.14×8×5

⇒ 251.3 cm²

6 0
3 years ago
If posts are spaced 10 feet apart, how many posts are needed for 130 feet of straight-line fence?
sineoko [7]
Sense its 10 feet apart and there is 130 feet of stright line fence it will be 13 posts

6 0
3 years ago
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