Which of the following segments is a diameter of O? ​

Answer:

1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58

Step-by-step explanation:

1) Surface area of a cuboid = 2(lb + bh + hl)

                                             = 2(6*4 + 4*3 + 3*6)

                                             = 2(24 + 12 + 18)

                                             = 2*54

                                             = 108 square units ------- (1)

 Volume of a cuboid = lbh

                                   = 6*4*3

                                   = 72 cube units ----------- (2)

2) Surface area = (1) - specific surface area

     Specific surface area

          =2(2*6 + 6*1 + 2*1)

          =2(12 + 6 + 2)

          =2*20

          =40 square units

  Therefore surface area = 108 - 40 = 68 square units  --------- (3)

  Volume = (2) - specific volume

      Specific volume

              =l*b*h

              =2*6*1

             =12 cube units

 Volume = 72 - 12 = 60 cube units ---------- (4)

3) Surface area = (3) - specific surface area

              Specific Surface Area

               2(2*4 +2*1 + 4*1)

               2(8 + 2 + 4)

               2(14)

               28 square units

 Surface area = 68 - 28 = 40 square units

  Volume = (4) - specific volume

         Specific volume

            = 1*2*4

            = 8 cube units

       Volume = 60 - 8 = 52 cube units

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Answer:

x = 16

Step-by-step explanation:

(5x + 14)° + (x + 19)° + (2x + 19)° = 180°

8x + 52 = 180

8x = 128

x = 16

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Answer:

Option B

Step-by-step explanation:

For increasing function in the interval (a, b),

"If we draw a tangent at any point on the graph in the given interval (a, b), slope of the tangent drawn will be positive"

Given function is,

[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]

In the interval (-∞, -5),

Graph is moving downwards therefore, tangents drawn at any point will have a negative slope and the function will decrease in this interval.

In the interval (-5, ∞),

In the given interval any tangent drawn at any point will have a positive slope and the function will be increasing.

Therefore, interval in which the function is increasing → (-5, ∞)

Option B is the answer.

The interval in which the function decreases is (-∞, -5).

The function decreases when, reading from left to right, the graph of the function goes downwards.

By looking at the graph, we can see that the graph goes downwards on the interval negative infinity and -5

Then we conclude that the function decreases on the interval (-∞, -5).

If you want to learn more about functions:

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Answer:

Step-by-step explanation:

The answer is D because the parabola is an empty circle and is positive which would mean its greater than 1 and the line has a solid point and is negative which means less than or equal to.

Answer:

using trigonometry first find the height I mean the dotted line

then use the formular 1/2*h*(a+b)

where h is the height you just found

a is 10

b is 6

Answer:

x=  12

Step-by-step explana

2x = 20 +  4

2x=  24

x= 2 4/2

x= 12

Answer:

x≤2

Step-by-step explanation:

-6(4 - x) ≤-4(x + 1)

Distribute

-24 +6x≤ -4x-4

Add 4x to each side

-24 +6x+4x≤-4x-4+4x

-24 +10x≤ -4

add 24 to each side

-24+10x+24≤-4+24

10x≤20

Divide by 10

10x/10 ≤20/10

x≤2

Answer:

D. x ≤ 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-6(4 - x) ≤ -4(x + 1)

Step 2: Solve for x

Answer:

19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

m = 4

n = 31

n - 3m

Step 2: Evaluate

Hi there!  

»»————-　★　————-««

I believe your answer is:  

19

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\n-3m;\text{ } m= 4, n = 31\\---------\\\rightarrow 31-3(4)\\\\\rightarrow 31 - 12\\\\\rightarrow \boxed{19}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Our point is at -5, 3. -5 represents its x coordinate, and 3 represents its y coordinate. 3 units right makes it -2, while 2 units down makes it 1. Final coords of the point are (-2,1).

Answer:

given point is (-5,3)

right unit means positive and down unit means negative so,

image of (-5,3)---------->(-5+3-2,3+3-2)

=>(-7+3,6-2)

=>(-4,4) ANS.

Answer: X= 25 degrees

Step-by-step explanation:

A triangle is 180 degrees.

115+40=165

180-165=25 degrees

Answer:

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

Box A have greater volume because it will be having more mass than Box B

Answer:

34 units

Step-by-step explanation:

Perimeter of ∆ABC is,

2(6+4+7)

= 2×(17)

= 34

Answered by GAUTHMATH

Answer:

first option is correct

Step-by-step explanation:

finding area for upper rectangle

length = 16 miles

breadth = (2x - 1) miles

area of rectangle = l*b

=16 *(2x - 1)

16*2x - 16*1

=32x - 16

finding area for another rectangle

length = (5x + 5) miles

breadth = 4 miles

area of rectangle = l*b

= (5x + 5) * 4

=5x*4 + 5*4

=20x + 20

area of the figure = area of upper rectangle + area of another rectangle

=32x - 16 + 20x + 20

= (52x + 4) sq mi

A milliliter is 1/1,000 of a liter. This means there is 1,000 milliliters per liter.

2 liters x 1,000 milliliters per liter = 2,000 total milliliters.

Answer: 2,000

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Answer:

(10^3)^2

Hope this answer is right!!

Step-by-step explanation:

(10^3)^2

(10)^3*2

(10)^5

Problem 35

The bar graph is shown below

You simply draw various rectangles such that the heights represent the frequency of each animal type.

Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.

You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).

=======================================================

Problem 36

1 book = 20 mm thickness

5 books = 5*20 = 100 mm thickness

1 paper = 0.016 mm thickness

5 papers = 5*0.016 = 0.08 mm thickness

total thickness = 100+0.08 = 100.08 mm

=======================================================

Problem 37

121/11 = 11

121 = 11*11

If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121

This is probably the easiest way to get the answer assuming repeated values are allowed.

You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.

-----------

If your teacher requires you to add 11 different numbers, then you can follow this procedure

After carefully following those steps, you'll get this sequence (in the exact order shown):

{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}

There are three properties to notice of this sequence

That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}

and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121

Answer:

42kg

Step-by-step explanation:

We are given the amount of plums produced from Tree A. We simply need to find the amount produced by Tree B and add the two numbers up.

Step 1:

Tree B produces 10% more than Tree A, which produces 20kg of plums:

[tex]B=\frac{110}{100} *\frac{20}{1} \\\\B=\frac{110}{5}=\\\\B=22[/tex]

Ok! Tree B produces 22kg of plums. Let us find the total amount of plums Yuri gets from both trees.

Step 2:

[tex]Total=A+B\\\\Total=20+22\\\\Total=42[/tex]

Yuri gets 42 kg of plums from the trees.

I hope this helps! Let me know if you have any questions :)

Answer:

DBH

Step-by-step explanation:

#1

Initial Price = 100% = 18

Discount = 15% = x

0.15 ( 18 ) = 0.15 * 18 = 2.7

Discount = $2.7 or $2.70

Letter = D

#2

Initial Price = 100% = 450

Markup = 20% = x

0.20 ( 450 ) = 1/5 of 450 = 90

Markup = $90

Letter = B

#3

Initial Payment = 100% = 37.60

Tip = 15% = x

0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64

Tip = $5.64

Letter = H

Your Code = DBH

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

I have no clue to be honest

[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]

[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]

[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]

Answer:

B and D

Step-by-step explanation:

Answer:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Step-by-step explanation:

Given

[tex]\log_5(\frac{x}{4})^2[/tex]

Required

The equivalent expression

To do this, we apply the following law of indices:

[tex]\log_a(b)^c = c\log_a(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]

To further simplify:

[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]

Open brackets

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Answer:

C.

Explanation:

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