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3 years ago

I need help please and thank you

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

400

Step-by-step explanation:

Movies, drinks and candies are independent events and you can choose one for each.

Movie: 10 options can be selected

drinks: 5

candy: 8

All types: 10 x 5 x 8 = 400

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Solve please, thank you!

djyliett [7]

Answer:

c=8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Multiply 5( 4n -5) tell me how

rewona [7]

Distribute

5 × 4n + 5 × -5

Simplify 5 × 4n to 20n

20n + 5 × -5

Simplify 5 × -5 to -25

20n - 25

8 0

3 years ago

PLEASE HELP MY ASSIGNMENT IS DUE IN 3 HOURS!!!!

Hatshy [7]

Answer:

76.3 degrees

Step-by-step explanation:

We use inverse cosine to find the angle.

arccos(1.9/8) = 76.26 deg

7 0

3 years ago

Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the lengt

brilliants [131]

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

4 0

2 years ago

Bill Ding plans to build a new hardware store. He buys a rectangular lot that is 50 ft by 200 ft, the 50-ft dimension being alon

enot [183]

Answer:

Length a = 59.62

Width b = 67.09

Cost = $10,734.4

Step-by-step explanation:

Solution:

Let a be the length and b be the width.

Area of the rectangle = a x b

a x b = 4000

Cost of the construction:

Cost = 100a + 80(a + 2b)

Cost = 100a + 80a + 160b

Cost = 180a + 160b Equation of the Cost of the construction.

Now, we need a and b to calculate the minimum cost required to build a lot.

From the area = a x b

we have,

a x b = 4000

b = 4000/a

Putting this equation into the cost of the construction.

We get:

Cost = 180a + 160 x (4000/a)

Cost = 180a + 640000/a

Differentiating with respect to a, we get

$C^{'}$ = 180 - 640000/ $a^{2}$

Putting $C^{'}$ = 0

180 - 640000/ $a^{2}$ = 0

Taking LCM

180 $a^{2}$ - 640000 = 0

Solving for a

180 $a^{2}$ = 640000

$a^{2}$ = 640000/180

$a^{2}$ = 3555.55

Taking square root

a = 59.62

As we know,

b = 4000/a

putting the minimum value of a = 59.62

b = 4000/59.62

b = 67.09

So, now we have both the dimensions a and b

Putting the values of a and b we will get the cost of the construction.

Cost = 180a + 160b

Cost = 180(59.62) + 160(67.09)

Cost = $10,734.4

Hence, $10,734.4 will be the minimum cost of the construction for Bill Ding.

5 0

3 years ago