A stick 1 meter long casts a shadow 1.4 meters long. A building casts a shadow 21 meters long. How tall is the building (to 2 decimal places)

Answer:

Surds

√3×√3 =3

3√6 × 4√6 =12 × 6= 72

(2√7)²=(2√7)(2√7)=4+2√7+2√7+7=4√7 +11

√5 ×√5 ×√5 =5√5

Answer:

30

Step-by-step explanation:

Use PEMDAS

parentheses is first

3+7=10

There's no exponents

You have to do it in order from left to right

6÷2=3

3*10=30

Answer:

The answer is 30.

First, start with 3 plus 7...that gives you 10. Then, 6 divided by 2 is 3. Lastly, multiply 10 by 3 and you've got 30!

If you can, please mark me brainliest!

Answer: w = 9

Isolate the variable by dividing each side by factors that don't contain the variable. First, we rearrange the terms.

18 + 4w = 6w

4w + 18 = 6w

Now we subtract 18 from both sides.

When we simplify, we get that w = 9.

Step-by-step explanation:

Hope this helps =)

Answer:

w = 9

Step-by-step explanation:

Rearrange terms

4w + 18 = 6w

Subtract 18 from both sides of the equation

4w+18-18 = 6w -18

Simplify

4w=6w-18

Subtract 6w from both sides of the equation

4w-6w=6w-18-6w

Simplify

-2w=-18

Divide both sides of the equation by the same term

-2w = -18/-2

Simplify

w = 9

[RevyBreeze]

Answer:

x is not a number it can be a variable like 1x+2x=3x

Given :difference between 2 whole number = 66ratio of the 2 whole number =2:5Let:1 whole number be 2x2 whole number be 5xA/Q

difference between 2 whole number = 66

Let's turn it into algebraic equation:

5x - 2x = 663x= 66x =66 /3x =22

Now Let's put value of x to find two whole numbers

Finaly :1 whole number = 2x1 whole number = 2×221 whole number =44

2 whole number = 5x2 whole number = 5×222 whole number = 110

Answer:

The equivalent cost be in U.S. dollars per gallon is 5.617 dollars per gallon.

Step-by-step explanation:

Step-by-step explanation:

1.2

euros per liter= 1.484 dollar per liter

1 dollar per liter = 3.785 dollar per gallon

1.484 dollar per liter = 5.617 dollars per gallon

Answer:

Step-by-step explanation:

Given is the proportional relationship.

Use one pair of (d, g) values to determine the equation:

The line is:

Take 2points

Slope:-

[tex]\\ \tt\hookrightarrow m=\dfrac{6-5}{144-120}[/tex]

[tex]\\ \tt\hookrightarrow m=1/24[/tex]

Equation of line in point slope form

[tex]\\ \tt\hookrightarrow y-5=1/24(x-120)[/tex]

[tex]\\ \tt\hookrightarrow 24y-120=x-120[/tex]

[tex]\\ \tt\hookrightarrow x=24y[/tex]

x 12 units

Step-by-step explanation:

Answer:

A. E bisects AB and CD

Step-by-step explanation:

If E is a bisector, it creates two pairs of congruent sides. The included angles are congruent because they are vertical angles. The triangles will be congruent by SAS.

An expression for x in terms of a and b is y = b - 2x and an expression for y in terms of a and b is y = 2a - b.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A system of equations x + y = a and 2x + y = b.

Now,

x + y = a.

x = a - y and y = a - x.

2x + y = b.

2x = b - y.

x = (b - y)/2.

y = b - 2x.

An expression for x in terms of a and b is,

x + y = a

x + b - 2x = a.

- x = a - b.

x = b - a.

An expression for y in terms of a and b is,

2(a - y) + y = b.

2a - 2y + y = b.

2a - y = b.

- y = b - 2a.

y = 2a - b.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

12/4. & 22/5

Step-by-step explanation:

3 2/4 you have to multiply 3x4 which equals to 12 then you add 2. your answers is 14 but you need to keep the denominator 4. your final answer is 12/4. this is the improper fraction. you do the same to 4 2/5.

Answer:

16 oatmeal cookies

Step-by-step explanation:

We can represent this situation as an equation.

Step 1: Add 7 to both sides.

Therefore, Lisa baked 16 oatmeal cookies.

Answer:

I thino the awnser is 103.5

Step-by-step explanation:

Answer:

[tex]let \:A= The\: amplitude\: of\: the\: graph \\ because \: \: \: a = \frac{1}{2} (y \: axis - y \: axis) \\ therefore \: \: a = \frac{1}{2} (0 - ( - 41) = 2[/tex]

Answer:

2.24

Step-by-step explanation:

Well...Ummm I don't know how to exactly explain it but I'll try

11 x 2.24=24.64 or you can do division and do 24.64 divided by 2.24=24.64

We have to find the sum of 219 and 763 . So , let's proceed :-

[tex]{:\implies \quad \sf 219+763}[/tex]

[tex]{:\implies \quad \sf (200+19)+(700+63)}[/tex]

[tex]{:\implies \quad \sf 200+19+700+63}[/tex]

[tex]{:\implies \quad \sf (200+700)+(19+63)}[/tex]

[tex]{:\implies \quad 900+82}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{982}}}[/tex]

Hence , The required sum is 982 :D

Based on the division computed, the number of packages is 63 and there will be a remainder of 3.

From the question, we are informed that Evan has 381 bagels to put into packages and that each package must hold 6 bagels.

The number of packages will be:

= 381/6

= 63 packages

It should also be noted that there will be a remainder of 3 bagels left.

Learn more about division on:

https://brainly.com/question/25289437

Answer: The number of packages is 63 and there will be a remainder of 3

Step-by-step explanation:

Answer:

B = 4, (y + 4)(y - 4)

Step-by-step explanation:

So both terms are perfect squares. So we want to factor using the difference of squares formula wher a^2 - b^2 = (a + b)(a - b)

a = y and b = 4

Therefore

(y + 4)(y - 4)

Answer:

Any value greater than -9 and less than -3

Step-by-step explanation:

Explained and uploaded

Answer:

1. q = p - mn

2. c = -6

3. 10

Step-by-step explanation:

1.

[tex]mn=p-q\\\textsf{add q to both sides}\implies mn + q = p\\\textsf{subtract mn from both sides}\implies q = p-mn[/tex]

2.

[tex]5c+23=c-1\\\textsf{subtract 23 from both sides}\implies5c=c-24\\\textsf{subtract c from both sides}\implies4c=-24\\\textsf{divide both sides by 4}\implies c=-6[/tex]

3.

[tex]4f^2-g\\\implies 4(2)^2-3=13\\\\3f^2-3g\\\implies 3(2)^2-(3 \times3)=3\\\\13-3=10[/tex]

Answer:

B

Step-by-step explanation:

The answer is B 19%.

Answer:

b.19%

Step-by-step explanation:

hope this will help you

Step-by-step explanation:

I think the first one.Because if you rotate it it looks like the picture.

To see which option is the most accurate one, we will verify all the options to see which is correct.

Option A (Correct/Incorrect)

Option A (Reasoning):

In this step, we can see that 3/4 was added to both sides. This can only mean that the property used here is the Addition property of Equality.

Option B (Correct/Incorrect)

Option B (Reasoning):

In this step, subtraction has not been used. It has been clearly stated that 3/4 was added to both sides.

Option C (Correct/Incorrect)

Option C (Reasoning):

In this step, multiplication has not been used. It has been clearly stated that 3/4 was added to both sides.

Option D (Correct/Incorrect)

Option D (Reasoning):

In this step, division has not been used. It has been clearly stated that 3/4 was added to both sides.

Option A is correct.

Addition property of equality is  applied in the first step of equation x/4-3/4=16.

Two or more expressions with an Equal sign is called as Equation.

The given equation is x/4-3/4=16

x divided by four minus three divided by four equal to sixteen.

The first step to solve this equation as

x/4-3/4+3/4=16+3/4

Which means we have added 3/4 on both sides of the equation.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal.

So we have used the  addition property of equality

Hence,  addition property of equality is  applied in the first step of equation x/4-3/4=16.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

The ratio of the fraction in the simplest form is 24 /5.

Fractions are non integers. They are made up of and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.

In order to express in the simplest form, divide both the numerator and denominator by similar factors.

96 : 20 = 96/20 = 24/5

To learn more about fractions, please check: https://brainly.com/question/1114498

Answer:

Step-by-step explanation:

Simplify the equation:

Solve the equation. Find y:

y = 7.

Answer:

0.-3 simplified is -3

Answer:

The answer is D.

Step-by-step explanation:

Answer:

let the angle be x

Step-by-step explanation:

then,

angle1=2x

angle2=4x

angle3=9x

sum of all angles i  triangle is 180

then

2x+4x+9x=180

15x=180

x=12

angle1=2*12=24

angle2=4*12=48

angle3=9*12=108