A boy’s height is 133 cm at the end of a year. His height increased by 5%. Find the height at the
beginning of the year.

The measure of side IG from similar triangles DEF and GHI is 34.8 units.

An equation is an expression that shows the relationship between two or more numbers and variables.

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence:

IG/GH = FD/DE

x / 19 = 11/6

x = 34.8

The measure of side IG from similar triangles DEF and GHI is 34.8 units.

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Answer:

2/3

Step-by-step explanation:

3 + 7 + 4 = 14

14 + 7 = 21

14/21 = 2/3

Answer: 25

Step-by-step explanation: Add all of the marbles, which is 20 in total, it is 5/20, so the ratio is 5:20

5:20 is 10:40, 15:60, 20:80, and 25:100

The answer is correct because 5:20 is 25% and 25/100 is also 25%

Answer:

  27

Step-by-step explanation:

Numbers can be converted to base 10 by writing them in expanded form.

__

102₅ = 1×5² +0×5 +2×1

  = 25 +2

  = 27₁₀

Answer:

23.88 cm squared

Step-by-step explanation:

3.6 x 5.9 = 21.24

1.1 x 4.8 x 1/2 = 2.64

21.24 + 2.64 = 23.88

Answer:

-sin Ф

Step-by-step explanation:

sin( O + 180) = sinФ cos180 + sin180 cosФ

                     =  sin Ф * -1 + 0 * cos Ф

                     =   -sin Ф

So

Answer:

[A] The corresponding sides of the triangles are congruent.

[B] The corresponding angles of the triangles are congruent.

[C] The triangles have the same size.

[D]  The triangles have the same shape.

Step-by-step explanation:

SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.

In Order for two triangles to be congruent must have the following below:

Hence, base on the given all the following are correct:

A. The corresponding sides of the triangles are congruent. √

B. The corresponding angles of the triangles are congruent. √

C. The triangles have the same size. √

D. The triangles have the same shape. √

Kavinsky

Answer:

A

Step-by-step explanation:

b/c the sides are corresponding and corresponding angles are always equal

Answer:

Step-by-step explanation:

The bottom of the spinner is not flat.

Answer:

Tom's class had the lower score

Step-by-step explanation:

Because the range is larger for Tom's class than it is for Brad's class, it is rather likely that students in Tom's class did not do as well on the test than students in Brad's class did.

The midline of the given graphed function for the y-coordinate is equal to y = 0.

The midline of a set of functions, you need to determine the average of their highest and lowest points.

For the functions represented in the graph,

y = 0.5.

The highest point is 0.5 for the graph.

y = -0.5

The lowest point is-0.5.

The midline of the set of functions is the average of their highest and lowest points.

Midline represented by a horizontal line.

Midline is the line that exactly passes through the midpoint of the highest and the lowest point.

Here on y-axis we have ,

Highest coordinate = 0.5

Lowest coordinate = -0.5

Midline point = ( highest point + lowest point ) / 2

Substitute the value we get,

⇒midline point = ( 0.5 + (-0.5))/ 2

⇒midline point = 0 /2

⇒midline point = 0

Therefore, the midline of the function of the graph is y = 0.

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Answer:

Step-by-step explanation:

im pretty sure its 16 or 17,

Answer:

[tex]12+x+4=16+x[/tex]

Step-by-step explanation:

Answer:

a is 3  and b is 10 i am pretty sure

Step-by-step explanation:

Since x, 2x, 3x contain numbers and variables, it takes two steps to find the LCM. Find the LCM for the numerical part 1; 2; 3; then find the LCM for the variable part x¹ ; x¹; x¹.

The LCM is the smallest number by which all numbers are divided without leaving a remainder.

The number 1 is not a prime number because it only has one positive factor, which is itself.

not cousin.

Since 2 has no divisors other than 1 and 2.

2 is a prime number.

Since 3 has no divisors other than 1 and 3.

3 is a prime number.

The least common multiple LCM of 1,2,3 is the result of multiplying all the prime factors the greatest number of times that appear in each term.

2 × 3

Multiply 2 by 3.

6

The factor for x¹ is x itself.

x¹ = x

The Least Common Multiple LCM of x¹ ; x¹; x¹ is the result of multiplying all the prime factors the greatest number of times that appear in each term.

x

The LCM for x;2x;3x is the numerical part 6 multiplied by the variable part.

6x ====> Answer

Answer:

see below

Step-by-step explanation:

6 -2x + 5 +4x

Combine like terms

6 +5  -2x+4x

The 6 and 5 do not have x  only the -2 and -4 have x with them

6+5  +x(4-2)

11 +2x

Using the relation between velocity, distance and time, it is found that the expression for the total time is given by:

[tex]t = \frac{9}{2x}[/tex]

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex].

Denise bikes 3 miles to her friend's house, hence:

[tex]v_1 = \frac{3}{t_1}[/tex]

[tex]t_1 = \frac{3}{v_1}[/tex]

The average rate biking to her friend's house is twice the average rate coming home, hence, on the return, [tex]v_2 = 0.5v_1[/tex]:

[tex]v_2 = \frac{3}{t_2}[/tex]

[tex]t_2 = \frac{3}{v_2}[/tex]

[tex]t_2 = \frac{3}{0.5v_1}[/tex]

[tex]t_2 = \frac{6}{v_1}[/tex]

The total time is given by, considering [tex]v_1 = 2v_2 = 2v = 2x[/tex], as we want to consider x the rate coming home:

[tex]t = t_1 + t_2[/tex]

[tex]t = \frac{3}{2x} + \frac{6}{2x}[/tex]

[tex]t = \frac{9}{2x}[/tex]

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The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.

In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.

Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,

[tex]A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700[/tex]

Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

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[tex]\text{The roots are 13 and 2.}\\\\\text{Now, the quadratic function,}\\\\~~~~~~~f(x) =x^2 -(13+2)x + (13)(2)\\\\\implies f(x)= x^2 -13x-2x + 26\\ \\\implies f(x) = x^2 -15x+26[/tex]

Write a factor that you can use to rationalize the denominator of √2/√5−8.

Answer: √5+8

Answer:

? anything else or..

Step-by-step explanation:

Answer:

a) 55 b)=21/32 c)x=6

Step-by-step explanation:

a)Follow the PEMDAS order of operations

Calculate within parentheses

(6 +3 x 2)

(6+6)

= 12

=51+ 12 ÷ 3

Multiply and divide (left to right)

12÷ 3=4

51 +4

Add and subtract (left to right)

51 + 4=55

B)

Follow the PEMDAS order of operations

29 – 8) ÷ 32

Calculate within parentheses

(29 – 8) =21

= 21 ÷32

Multiply and divide (left to right)

21 ÷32

=21/1× 1/32

=21/32

C)let the unknown be X

6+ 5× X- 16 = 20

Group like terms

5x +6- 16 = 20

Add/Subtract the numbers:

6- 16 = -10

5x - 10= 20

Add 10 to both sides

5x- 10 + 10 =20 + 10

Simplify

5x=30

Divide both sides by 5

5x/5=30/5

x=6

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{51 + ( 6 + 3 \times 2 ) \div 3}\\\\\mathsf{= 51 + \dfrac{6+ 3\times2}{3}}\\\\\mathsf{= 51 + \dfrac{6 + 6}{3}}\\\\\mathsf{= 51 + \dfrac{12}{3}}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark[/tex]

[tex]\mathsf{(29 - 8) \div 32}\\\\\mathsf{= \dfrac{29 - 8}{32}}\\\\\mathsf{= \dfrac{29 - 8}{32 - 0}}\\\\\mathsf{= \dfrac{21}{32}}\\\\\mathsf{= 21\div 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark[/tex]

[tex]\mathsf{6 + 5 \times p - 16 = 20}\\\mathsf{\rightarrow 6 + 5p - 16 = 20}\\\mathsf{\rightarrow 5p - 10 = 20}\\\text{ADD 10 to BOTH SIDES}\\\mathsf{5p - 10 + 10 = 20 + 10}\\\text{SIMPLIFY IT!}\\\mathsf{5p = 20 + 10}\\\mathsf{5p = 30}\\\text{DIVIDE 5 to BOTH SIDES}\\\mathsf{\dfrac{5p}{5}= \dfrac{30}{5}}\\\text{SIMPLIFY IT!}\\\mathsf{p = \dfrac{30}{5}}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5\times \bold{6} - 16}\\\mathsf{= 6 + 30 - 16}\\\mathsf{= 36 - 16}\\\mathsf{= 20}\\\\\huge\textsf{Thus, the answer in the blank IS: \boxed{\mathsf{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I can't give the exact answer as the base pay and weekly hours arn't stated but here's how to solve letters in parentheses are place holders just plug in the numbers accordingly :)

Step-by-step explanation:

A.

figures needed, base pay (p) total hours worked (t) half

Saturday

p÷2= the ½ in time and a half (x)

p+x= 1 hr Saturday pay (s)

s+2= r (to cover the 30m)

7:00am to 11:30am 4hr 30m

12:00pm to 4:00pm 4hr

add them

8hr 30m

(s×8)+r= how much you were paid on Saturday

Sunday

p×2= h dubble pay

Calculate how many hrs worked on Sunday and apply the same logic as for Saturday appropriately divide the time if it doesn't come out as an even hour.

Final

Add Saturday and Sunday pay together to get weekend pay.

B.

Same formula hours worked times hourly pay.

Add the weekday and weekend pay together and thats pt B.

Hope this helps!

Answer:

using π as 3.14: 20165.08 cubic inches

in terms of π: 6422π cubic inches

Step-by-step explanation:

» Concepts

The volume of a cylinder is how much space the cylinder can take inside of it. The formula to find this volume is πr²h, where r = radius and h = height. In addition, it's important to know that the radius is half the diameter.

» Application

We're given the radius as 13 inches (26/2 = 13), and the height is 38 inches. Now, we just have to plug in the values and simplify.

» Solution

Using π as 3.14:

In terms of π:

Step-by-step explanation:

well, what do we expect in theory ?

a coin has a 50/50 chance for beads or tails. so, a probability of 1/2 for either one.

the probability for a survival number in a die is 1/6.

remember, the probability is always desired results over total possible results.

so, the combination is a simple multiplication.

the probability to get a certain side of the coin AND a certain number on the die is

1/2 × 1/6 = 1/12

so, this is what we would expect in theory : every combination happens in 1/12 of all cases.

now, what do we see in our practical experiment ?

there were 24 events (so, the total possible results are 24).

how many of them had heads and a 3 (the desired results) ?

there was only 1 result (in fact, there was only one 3 independently from the coin result, which is surprisingly low for 24 rolls of a die).

so, our experiment shows us a ratio or experimental probability of

1/24

for the desired result of heads with a 3 on the die.

we expected to get a ratio of

1/12 = 2/24

so, in reality, we got 1/24 less than theoretically expected.

Answer:

acute

Step-by-step explanation:

it is an acute triangle

Answer:

If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], then  [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex]

Step-by-step explanation:

We are given the diagram of parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and [tex]\displaystyle\mathsf{\overline{KV}}[/tex], which are intersected by line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The prompt requires us to determine the relationship between [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{RS}}[/tex].

Parallel lines are non-intersecting lines that are coplanar and have the same slope.  

Perpendicular lines: the intersection between two lines that form right angles. Perpendicular lines also have negative reciprocal slopes.    

Transversal : a line that intersects at least two distinct coplanar lines in at least two or more definite points.  

We will use the given diagram and the following theorems/postulates to prove the relationship between lines [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{WS}}[/tex].

Now that we have established the necessary postulates and theorem, we can state that:  

Keywords:

Parallel Lines

Perpendicular lines

Perpendicular Transversal Theorem

____________________________

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Answer:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.

Step-by-step explanation:

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

Explanation:

3/6 = 1/2 of the numbers on the cube are even (2,4,6)

If we wanted both cubes to show an even number, then this comes up (1/2)*(1/2) = 1/4 of the time.

There are 6*6 = 36 outcomes total, so there are (1/4)*36 = 9 outcomes when both dice show an even number.

---------

Those nine outcomes are listed below

You probably have noticed that A has 3 choices (2,4,6) and so does B. That gives 3*3 = 9 outcomes total. This is an alternative pathway compared to the previous section.