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alexandr402 [8]
3 years ago
8

Please help to solve this

Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

I can do the top 2

1. a = -11

2. z = 9/2           (or nine over two in word form)

Step-by-step explanation:

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One half of the sum of a number and 10
garri49 [273]

Let's assume the number be x.

So, sum of a number and 10 can be written as x+10.

Now the given statement is "One half of the sum of a number and 10 ".

So, one half of x+10 can be written as \frac{1}{2} (x+10)

6 0
3 years ago
The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood​
puteri [66]

Given:

Volume of a cubed room = 8000 cubic ft

Cost of floor hardwood = $10 per square foot

To find:

The total cost of floor hardwood.

Solution:

Let the each side of cubed room be x ft.

Volume of a cube is cube of its side.

Volume of a cubed room is 8000 cubic ft. So,

x^3=8000

Taking cube root on both sides.

x=20

So, length of each of room is 20 ft.

Area of base = length × breadth

So, area of base of room is

20\times 20=400\text{ ft}^2

It means, 400 sq ft  hardwood is required for the floor.

Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is

400\times 10=4000

The hardwood floors will cost ​$4000.

4 0
3 years ago
Average daily temperature as a function of the day of the year. Is it continous or discontinous function? Why?
S_A_V [24]

Answer:

continous

Step-by-step explanation:

the seasons are based on the rotation and angle of earth

3 0
3 years ago
Using an ideal machine a worker exerts an effort force of 8.00 N to life a 2.95 kg weight a distance of 6:00 am over what distan
cestrela7 [59]

Answer:

29.5 ×6= 8×d

d = 29.5×6/8 = 22.12 m

3 0
3 years ago
a 15-foot telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 degre
scoundrel [369]

Answer:

The length of the wire is 22.42 feet

The distance from the base of the pole to the spot where the wire touches the ground is 16.66 feet

Step-by-step explanation:

* Lets explain the situation in the problem

- The telephone pole , the wire and the ground formed a right triangle

- The wire is the hypotenuse of the triangle

- The height of the telephone pole and the distance from the base of

 the pole to the spot where the wire touches the ground are the legs

 of the triangle

- The angle between the wire and the ground is 42°

- The angle 42° is opposite to the height of the telephone pole

- The height of the telephone pole is 15 feet

* Lets use the trigonometry functions to find the length of the wire

 (hypotenuse) and the distance from the base of the pole to the spot

 where the wire touches the ground

∵ sin Ф = opposite/hypotenuse

∵ Ф = 42° and its opposite side = 15 feet

∴ sin 42 = 15/hypotenuse ⇒ by using cross multiplication

∴ sin 42° (hypotenuse) = 15 ⇒ divide both sides by sin 42

∴ hypotenuse = 15/sin 42° = 22.42 feet

∵ The length of the wire is the hypotenuse

∴ The length of the wire is 22.42 feet

∵ The distance from the base of the pole to the spot where the wire

   touches the ground is the adjacent side to the angle 42°

∵ tan Ф = opposite/adjacent

∴ tan 42° = 15/adjacent ⇒ by using cross multiplication

∴ tan 42° (adjacent) = 15 ⇒ divide both sides by sin 42

∴ adjacent = 15/tan 42° = 16.66 feet

∵ The adjacent side is the distance from the base of the pole to the

  spot where the wire touches the ground

∴ The distance from the base of the pole to the spot where the wire

   touches the ground is 16.66 feet

7 0
4 years ago
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