All categories

2 years ago

ABC~DEF. ABC has a perimeter of 18 and a leg of 5. The base of DEF is 34.4. What is the perimeter of DEF.

Mathematics

1 answer:

zaharov [31]2 years ago

3 0

Answer:

DEF =77.4 inches I attached an answer sheet so you can know how to work out the problem

You might be interested in

An athlete plans to run 3 miles. each lap around the school yard is 3/7 mile. how many laps will the athlete run?

Maksim231197 [3]

He will need to run 7 laps.

8 0

3 years ago

A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ

Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = $2.2\times 7.4=16.28$

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = $2.2\times -6.2=-13.64$

Thus change in moment is: $16.28-(-13.64)=29.92$

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

$\frac{29.92}{0.25}=119.68$

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0

3 years ago

2.8y + 6 +0.2 y =5y -14

serious [3.7K]

2.8y + 6 + 0.2y = 5y - 14
(Simplify like terms in first half of equation)
3y + 6 = 5y - 14
(Subtract both sides by 3y)
6 = 2y - 14
(Flip)
2y - 14 = 6
(Add both sides by 14)
2y = 20
(Divide both sides by 2)
y=10

3 0

3 years ago

The vet feeds the animals 6 cups of food. How many dishes will she use if she gives each pet 1/4 cup of food

nekit [7.7K]

Answer:

24 dishes

Step-by-step explanation:

1cup- 4dishes

6cups =6*4=24 dishes

8 0

2 years ago

Arvin has $10000 to invest. He invests part in a term deposit paying 5%/year, and the remainder in Canada savings bonds paying 3

Delicious77 [7]

Answer:

$4,562.5

Step-by-step explanation:

The amount Arvin has to invest, P = $10,000

The interest paid on the investment in the term deposit = 5%/year

The interest paid om the investment in Canada savings bonds = 3.4%/year

The amount Arvin earned at the of the year as simple interest, A = $413

Let, x, represent the amount Arvin invested in the term deposit and let, y, represent the amount he invested in Canada savings bonds, we can get the following system of equations

x + y = 10,000...(1)

0.05·x + 0.034·y = 413...(2)

Making y the subject of equation (1) and substituting the value in equation (2), we get;

From equation (1), we get, y = 10,000 - x

Plugging the above value of y in equation (2) gives;

0.05·x + 0.034 × (10,000 - x) = 413

∴ 0.05·x - 0.034·x + 340 = 413

x = (413 - 340)/(0.05 - 0.034) = 4,562.5

Therefore, the amount Arvin invested in the term deposit at 5%, x = $4,562.5

(y = 10,000 - x

∴ y = 10,000 - 4,562.5 = 5,437.5

The amount Arvin invested in Canada savings bonds, y = $5,437.5.)

8 0

2 years ago