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Lesechka [4]
3 years ago
12

20 points PLEASE HELP IT'S DUE TODAY

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

Step-by-step explanation:

Arc length of the circle is given by,

Arc length = \frac{\theta}{360^{\circ}}(2\pi r)

Area of the sector of a circle = \frac{\theta}{360^{\circ}}(2\pi r)

22). Arc length of the circle having central angle = \frac{\pi}{3}

                                                                                 = 60°

Arc length = \frac{60^{\circ}}{360^{\circ}}(2\pi )(7)

                 = \frac{14\pi }{6}

                 = 7.33 cm

23). Arc length of the circle having central angle = 225°

Arc length = \frac{225^{\circ}}{360^{\circ}}(2\pi )(10)

                 = 12.5π

                 = 39.27 km

24). Central angle = \frac{5\pi }{4}

                              = \frac{5\times 180^{\circ}}{4}

                              = 225°

Area of the sector = \frac{225^{\circ}}{360^{\circ}}(2\pi )(11)

                               = 43.20 yd²

25). Area of the sector = \frac{270^{\circ}}{360^{\circ}}(2\pi )(14)

                                      = 65.97 yd²

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HELP ME ASAP!!!
Olenka [21]

Answer:

21.6 liters

Step-by-step explanation:

40 drops make up a volume of 10 mL

Therefore, the volume of 1 drop of water = 10mL/40 = 1/4 mL= 0.25mL

Since the tap loses 1 drop of water in 1 sec, it loses 0.25mL of water in 1 second

60 seconds make up 1 second so volume of water lost in 1 minute = 0.25 x 60 = 15 mL

60 minutes make up 1 hour so volume of water lost in 1 hour = 15 x 60 = 900 mL

24 hours make up a day so volume of water lost in 1 day = 900 x 24 = 21,600 mL

Since 1000 mL make up 1 liter, divide by 1000 to get volume in liters

Volume of water lost in 1 day = 21600/1000 = 21.6 liters

Can be done as one equation

V lost in one day = 0.25 x 3600 x 24 mL = 21600 mL = 21.6 L

8 0
2 years ago
Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h
oee [108]
So 72 pencils and 24 calculators
so greates number of identical calculators

this means
what is the biggest number that we can divide 72 and 24 by and get a whole number
this is called the GCM or greatest common multipule

to find the GCM, you factor 72 and group the like ones
72=2 times 2 times 2 times 3 times 3
24=2 times 2 times 2 times 3
so the common group is 2 times 2 times 2 times 3 or 24
so the greates number of packs is 24

so pencils
72 divided by 24=72/24=3
3 pencils per pack

24 divided by 24=24/24=1
1 calulator per pack


answer is 3 pencils and 1 calculator per pack
6 0
3 years ago
Read 2 more answers
Analyze the problem and complete the statements.
NARA [144]

Answer:

I know this problem is an  

✔ equation

because it has an equals sign.

The t is the  

✔ variable

.

The negative sign is the  

✔ operation

.

The 7 and the 8 are both  

✔ constants

.

Step-by-step explanation: i took the test :( crying cuz im bouta fail

6 0
3 years ago
P L E A S E H E L P ! ! !
Step2247 [10]

Answer:

1) 6x = 21

2) x + y - 3

3) x/z = y

4) 2-x = p

Step-by-step explanation:

1. The product of a number x and 6 is 21

A product is a multiplication.  A product of a and b is a * b.

We then have a product of x and 6, that x * 6, which we write usually in the format 6x.

is 21: that means it's equal to 21....

so 6x = 21.

2. The sum of the quantity x- 3 and y  

The sum is an addition.  The sum of a and b is a + b.

In this case, the first part is x - 3, the second part is y

So, x - 3 + y, which we usually rewrite as x + y - 3

3. The quotient of x and z is y

A quotient is a division.

So, quotient of x and z is x/z.

x/z = y

4. The difference of 2 and x is p.

A difference is a subtraction.

Difference of 2 and x is 2 - x

2 - x = p

7 0
3 years ago
Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee t
bekas [8.4K]

Answer:

A: constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

C: constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X

Step-by-step explanation:

* Lets revise the ways of constructing a triangle

- There are 3 ways to construct a triangle

# You must have length of one side and measures of two angles which

  are the endpoint of the side

# You must have a length of two sides and the measure of the including

  angle between the two sides

# You must have the length of the 3 sides

* Lets solve the problem

∵ Δ XYZ ≅ Δ ABC

∴ XY = AB , YZ = BC , ZX = CA

∴ m∠ X = m∠ A , m∠ Y = m∠ B , m∠ Z = m∠ C

- To construct Δ ABC You can use:

# The length of the 3 sides

∵ AB ≅ XY , BC ≅ YZ , CA ≅ ZX

∴ constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX ⇒ A

# The length of two sides and the measure of the including angle

∵ AB ≅ XY , CA = ZX

∵ The including angles between the sides are ∠A and ∠X

∴ constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X ⇒ C

# The length of one side and the measures of two angles which are

   the endpoints of the side

∵ CA ≅ ZX

∵ The end points are C , A and Z , X

∴ constructing ΔABC so that CA ≅ ZX, ∠A ≅ ∠X, and ∠C ≅ ∠Z

- But this answer not in the choices

∴ The answer is A and C

4 0
3 years ago
Read 2 more answers
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