Find the following, giving your answers to 1 decimal place. 10 cm 8 cm 6 cm a) The volume of the cone. b) The curved surface area of the cone.

Given:

The side lengths of two cubes are 2.5 yd and 2 yd.

To find:

The side length of third cube.

Solution:

From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the base.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](2.5)^2=(x)^2+(2)^2[/tex]

[tex]6.25=x^2+4[/tex]

[tex]6.25-4=x^2[/tex]

[tex]2.25=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm\sqrt{2.25}[/tex]

[tex]x=\pm 1.5[/tex]

Side cannot be negative. So,

[tex]x=1.5[/tex]

Therefore, the side length of the  third cube is [tex]x=1.5[/tex] yd.

Answer:

1, 2, 3 are correct

4&5 are not because 4 is increasing and 5 is staying the same

Answer:

first 4 are correct

Step-by-step explanation:

[tex] \large \text{Hello keep learning!}[/tex]

As we know that one million is 1,000,000.

So we can write it as:-

➢ 1×10⁶

Answer:

1 * 10^6

Step-by-step explanation:

I hope this helps!

Answer:

10869.5652174 seconds

Step-by-step explanation:

1000 km = 1000000 m

1000000m /92  = 10869.5652174

Answer: The air temperature increases about 10 degrees C for every 1000-meter increase of altitude.

Step-by-step explanation:

Ur welcome :)

The correct statement is The air temperature increases about 10°C for every 1000-meter increase of altitude.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

according to the given plot we have

The air temperature at the base of the mountain is about 18°C is false because  air temperature at the base of the mountain is about 20°C.

The air temperature at the base of the mountain is about -22°C false because  air temperature at the base of the mountain is about 20°C.

The average temperature on top of the mountain is about -2°C is false because it is not mentioned in the graph.

The air temperature increases about 10°C for every 1000-meter increase of altitude is true.

Learn more about graph here:

https://brainly.com/question/10712002

#SPJ2

Answer:

1/3

Step-by-step explanation:

Y/x=k that is the equation for constant of proportionality

2/6=k

1/3=k

Answer:

the 150 deg side is the same size as the 50 deg, and 2x side. they are mirriored, so 150-50 is 100, so x=50

Step-by-step explanation:

Answer:

120 groups

Step-by-step explanation:

Total number of players = 12

Number of superstars = 2

To select a group of 5 players that MUST include the two superstars can be done in how many different ways?

Since the two superstars must always be in the 5 player team

Number of players left to choose = 5 - 2 = 3

Number of players from which selection is to be made = 12 - 2 = 10

Hence, the number of ways of choosing 3 players from 10 ; 10C3

Recall ;

nCr = n! / (n-r)!r!

10C3 = 10! ÷ (10-3)!3!

10C3 = 10! ÷ 7!3!

10C3 = (10*9*8) / (3*2*1)

10C3 = 720 / 6

10C3 = 120 groups

Answer:

C

Step-by-step explanation:

Because lets say we have a point (1,2)

when reflecting this point over the y-axis it becomes (-1,2) so only the sign of the X value changes. Therefore by writing the system f(x)=g(-x) it changes the X value.

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

Answer: c(1 + 0.065)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

We can compare this with simple quadratic sequence

and find out that doubling each term gives us

This is close to our sequence, write the terms as follows to find exact rule

The first term:

The second term

The third term:

The fourth term:

The nth term as per observation above is:

Answer:

Step-by-step explanation:

Answer: 4 / 11

Step-by-step explanation:

There are 4 vowels in total, 11 cards.

Answer:

8, 14

Step-by-step explanation:

Any term in a Fibonacci sequence is found as

[tex]a_{n}[/tex] = [tex]a_{n-2}[/tex] + [tex]a_{n-1}[/tex]

Thus

a₃ = a₁ + a₂ = 2 + 6 = 8

a₄ = a₂ + a₃ = 6 + 8 = 14

The next 2 terms are 8, 14

Answer:

8, 14

Step-by-step explanation:

In a general Fibonacci sequence, any number in the sequence after the first two is the sum of the previous two. Here, we get the 3rd term by adding 2 and 6 to get 8, making our sequence

2, 6, 8

To get the fourth, we repeat the process, adding 6 and 8 to get 14:

2, 6, 8, 14

Answer:

A

Step-by-step explanation:

So the triangle rule is that the 2 smaller sides of a triangle have to have a greater sum than the largest side.

I answer a 1+2 has to be greater than 3 and its not therefore A is the answer

Answer:

the answer is 7x(3+8y)

Step-by-step explanation:

Hope this helped

Answer:

total outcomes= 8

green = 3

probability to get green = 3/8 = 0.375

Answer:

$1.46

Step-step explanation:

We have to find out what 6.5% of 22.5 is, our keyword is of, so we're multiplying. Our equation is:

22.5 x 0.065 = 1.46

So our tax is $1.46

Answer: I would say B would be the answer Because....

Step-by-step explanation:

if about 20 to 23 cars pass through every 26 minutes, and haw many cars pass by in 156 minutes...

26 x 6 = 156

6 x 20 = 120  

6 x 21 = 126

6 x 22 = 132

6x 23 = 138

all thoes numbers are around B.

Answer:

-1

Step-by-step explanation:

put numbers in order

-5 , -4.5 , -2 , -1.5 , -0.5 , 2 , 2.5 , 3

add two middle numbers up

- 1.5 + - 0.5 = -2

-2/2 = -1

Answer:

First option, 4 because 1/6 + 1/6 + 1/6 +1/6 = 4/6

Answer:

3* 2*3*2 is n

Step-by-step explanation: well find a way to put 3 and 2 two times in expressions and expressions have no equal signs steer clear of that.

Answer:

a) x: 0,1,2,3,4,5,6,7,8

y: 0,8,16,24,32,48,56,64

b) label the horizontal line number of yards. The vertical line is costs, label each unit in 8s.

c) constant of porportionality is 8

d) y=8x