which of the following statements must be true about this diagram check all that apply help asap

Answer:

V(small) = 352 milliliters

the capacity of the smaller container is 352 milliliters

Step-by-step explanation:

Given that the two containers are similar, their dimensions follows the same ratio.

Ratio of their length;

Length(smaller) =30 cm

Length(larger) = 75 cm

Ratio = Length(smaller)/Length(larger) = 30cm/75cm

Length Ratio = 2/5

The ratio of their Volumes will be;

Ratio of volume = ratio of length raised to power three.

Rv = Rl^3

Rv = (2/5)^3

Rv = 8/125

The volume of the smaller container;

V(small) = Rv × V(large)

Volume of larger container V(large) = 5.5 litres

substituting the values;

V(small) = 8/125 × 5.5 litres

V(small) = 0.352 litres

V(small) = 352 milliliters

the capacity of the smaller container is 352 milliliters

Answer:

Step-by-step explanation:

Answer:

Mₙ= 3*1.2⁽ⁿ⁻¹⁾

Step-by-step explanation:

week 1- 3 miles

week 2 - +20% ⇒ 3*1.2

week 3- +20% ⇒ 3*1.2*1.2

...

week n- +20% ⇒ 3*1.2⁽ⁿ⁻¹⁾

Mₙ= 3*1.2⁽ⁿ⁻¹⁾

Mₙ - miles on week n

Answer:

0.50

Step-by-step explanation:

Simply plug -2 in for x into the equation.

2(2^-2) = 0.50

Answer:

0.50

Step-by-step explanation:

Answer:

addition

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

16^1/2

= [tex]\sqrt{16}[/tex]

=4

Answer:4

Step-by-step explanation:

BIG BRAIN

Answer:X×2+9=23

Step-by-step explanation:2x+9=23

2x=23-9

=14

X=14/2

=7( he gave to his bros)

But since he gave all the apples to his ex and brothers he probably doesn't have any left

Mark me as Brainliest if I'm right (though I doubt it )

Answer:

36πin

Step-by-step explanation:

Formula for the circumference of a circle=2πr

r=18

2 · 18

=36

36·π

hope this helps

The answer is attached.

Answer:

8 × 10¹³

Step-by-step explanation:

=> [tex](4*10^6)*(2*10^7)[/tex]

=> [tex](4*2)*(10^6*10^7)[/tex]

When bases are same, powers are to be added.

=> 8 × 10 ⁶⁺⁷

=> 8 × 10¹³

Answer:

2(x+y)

Step-by-step explanation:

Simple 5-3 with some added variables that don't change.

Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

[tex]Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}[/tex]

[tex]Distance=\sqrt{(9)^2+(0)^2}[/tex]

[tex]Distance=\sqrt{81+0}[/tex]

[tex]Distance=9[/tex]

So, the distance between the two points is 9 units.

Answer:

(a)The missing measurements are 9 feet and [tex]16\frac{1}{4}$ feet[/tex].

(b)Therefore, the length of the fence is  [tex]97\frac{1}{2}$ feet[/tex]

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

[tex]y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet[/tex]

Similarly:

[tex]x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet[/tex]

The missing measurements are 9 feet and [tex]16\frac{1}{4}$ feet[/tex].

(b)Length of the Fence

The fence is rectangular shaped with:

Length = [tex]31\frac{1}{2}$ feet[/tex]

Width = [tex]17 \frac{1}{4}$ feet[/tex]

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

[tex]=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet[/tex]

Answer: x < -2 or x ≥ 4.

Step-by-step explanation:

In the graph, we can see that our set of numbers includes:

All the numbers larger than 4, and the 4 itself (because we have a colored dot in the 4)

Then this range of values can be represented with:

x ≥ 4.

(because this allows x to be larger than 4, or equal than 4)

Our set also includes all the numbers smaller than -2, where the -2 is not included because we have a white dot in the -2.

This can be represented as:

x < -2

Then our set can be described with:

x < -2 or x ≥ 4.

Then the correct option is the third one (counting from the top)

Answer:

86° Fahrenheit

Step-by-step explanation:

F=1.8C + 32

C=30°

Plugging into the formula:

[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]

The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.

Answer:

86 degrees

Step-by-step explanation:

Answer:

m<ABC = 144 degrees

Step-by-step explanation:

m<ABD = 76 degrees

m<DBC = 68 degrees

So,

m<ABC = m<ABD+m<DBC

m<ABC = 76+68

m<ABC = 144 degrees

Answer:

Given

Hope this helps

Step-by-step explanation:

The task explains how to draw a circle. So first attach a thumbtack in between the paper. This will be the midpoint of the circle

Tie one end of thread to it and the other end to a pencil. So when you travel the pencil around, a circle will be formed.

The length from one end of the circle to the other end (which pases the centre) is the diameter. Half of that is the radius

Circumference is the length around the circle which is πd

An easier way to draw the circle is by simply using a compass instead.

Answer:

The range of numbers that will win the game for your player is [tex]0 \leq x \leq 16[/tex].

Step-by-step explanation:

We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.

The numbers to choose from are zero to twenty.

Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.

Given that Nita chooses 7.

Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;

[tex]|x-7|<10[/tex] ,  where x = number chosen by Erik, i.e. [tex]0 \leq x\leq 20[/tex]

Further solving the above equation we get;

[tex]-10 < x-7<10[/tex]

[tex]-10+7 < x-7+7 < 10 + 7[/tex]

[tex]-3 < x < 17[/tex]

But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.

SO, the required range of numbers that can win Erik the game is given by = [tex]0 \leq x \leq 16[/tex].

Answer:

Option B

Step-by-step explanation:

Complementary Angles add up to 90 degrees

So,

Other Angle = 90-22

Other Angle = 68 degrees

Also Other Angle = 2x (Given)

So,

2x = 68

Dividing both sides by 2

=> x = 34

Answer:

3/10

Step-by-step explanation:

Josh and Lucy share some money in the ratio 3:7.

3+7=10

The fraction Lucy gets is 7/10

The fraction Josh must get is 3/10.

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

Answer:

|-2.56|=2.56

and obviously, it's between 3 and 2.

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

Answer:

the correct answer is A

Step-by-step explanation:

Answer: This can be done by properly interpreting the words into appropriate signs and digits.

Please check below for explanation of WORD PROBLEMS.

Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;

(1) Sum refers to addition (plus)

(2) Difference refers to subtraction (minus)

(3) Product refers to multiplication (times) and

(4) Quotient refers to division (divide)

(5) The same as refers to equal to

Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.

So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."

A simple example would help to illustrate this;

Illustration:

(a) Four times a number added to a dozen would result in seven times that same number.

Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.

Added to a dozen means you add 4x to  a dozen, that is 4x + 12.

This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,

4x + 12 = 7x.

Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).

Answer:

86 degrees

Step-by-step explanation:

Answer:

The mean will increase, and the median will stay the same.

Step-by-step explanation:

We know that the mean of scores is the average value of the scores of  the score obtained by 4 friends.

i.e. it is the ratio of sum of scores of 4 friends to the total number of person i.e. 4.

Hence, if the score of any of the person will increase then the mean will also increase

( Since, the denominator remains the same and the numerator is increasing so , the resultant value will increase )

Also, we know that the median of the score lie between the data set, i.e. the change in the score of the last score won't affect the median :

Since, here we have  4 data points and the median lie between the 2nd and 3rd data point so change in the 4th data point won't affect the median.

Hence, increasing Adam's high score affect the mean and median as:

Mean will increase and Median remains the same.

Answer:

x + y = 745

23.50x + 58.75y = 29,668.75

Step-by-step explanation:

Since 745 copies were sold and  x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:

x + y = 745

Since the home edition costs $23.50, and the business edition costs $58.75:

The money earned from home edition is = 23.50x

The money earned from business edition is = 58.75y

Since the company earned $29,668.75:

23.50x + 58.75y = 29,668.75

Answer:

Option (1)

Step-by-step explanation:

''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."

From the given picture,

If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.

1). m(∠DBC) = m(∠DBA) = 90°

2). AB ≅ BC

Therefore, additional information we will require is AB ≅ BC

Option (1) will be the answer.

Answer:

20%

Step-by-step explanation:

16/80= ?/100

16 times 100 is 1600

1600 divided by 80 is 20%

hope this helps

Answer:

B. 20%

Step-by-step explanation:

16 as a percent of 80 can be written as:

16/80

Simplify the fraction using the greatest common factor 16.

16÷16/80÷16

1/5 = 0.2

1/5 as a percent is 20%.