In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

Paladinen [302]

Step-by-step explanation:

just add them all up and divide by the number of items. in this case divide by 10

8 0

3 years ago

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g

givi [52]

Given :

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.

To Find :

How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.

Solution :

Mass of copper in 50 gm alloy = $50\times 0.12 = 6\ gram$ .

Mass of copper in 78 gm alloy = $78\times 0.98 = 76.44\ gram$ .

Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.

Percentage of copper in resulting mixture :

$\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%$

Hence, this is the required solution.

8 0

3 years ago

27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r

tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

<u>By using :-</u>

<u /> $Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h$

$93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h$

By dividing both sides by 9.43

$\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h$

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0

3 years ago

HELP ME WITH THIS MATH

tester [92]

Answer: Do you know what the total degree is but if not an algebraic equation us 148-x = 26

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a

Dvinal [7]

Answer:

The difference between the games won and lost = 21 - 6 =15

Step-by-step explanation:

According to the question In a football season a team gets 3 points for a win, 1 point for a draw and 0 points for a loss.

A particular season a team played 34 games and lost 6 games . Finding the difference between game won and game lost simply means we have to know the number of game lost and game won.

The team played a total of 34 games.

Total games played = 34

Out of the 34 games played they lost 6 games. That means the remaining games is either win or draw. Therefore,

34 - 6 = 28 games was won or draw

Let

the number of games won = x

the number of game drew = y

3x + y = 70.............(i)

x + y = 28................(ii)

x = 28 - y

insert the value of x in equation(i)

3(28 - y) + y = 70

84 - 3y + y = 70

84 - 70 = 3y -y

14 = 2y

divide both sides by 2

y = 14/2

y = 7

insert the value of y in equation(ii)

x + y = 28

x = 28 - 7

x = 21

The team won 21 games , drew 7 games and lost 6 games.

The difference between the games won and lost = 21 - 6 =15

3 0

3 years ago