Instructions: Find the missing side. Round your answer to the
nearest tenth

Answer:

Height of flagpole before it fell = 5.15 m

Step-by-step explanation:

Given:

Height of remain pole (p) = 1.7 m

Distance from base (b) = 3 m

Find:

Height of flagpole before it fell

Computation:

Using Pythagorean theorem

H = √ p² + b

Length of broken part = √ 1.7² + 3²

Length of broken part = √ 2.89 + 9

Length of broken part = √ 11.89

Length of broken part = 3.45 (Approx)

Height of flagpole before it fell = Length of broken part + Height of remain pole

Height of flagpole before it fell = 3.45 + 1.7

Height of flagpole before it fell = 5.15 m

Answer:

The correct option is;

It has no reflectional symmetry

Step-by-step explanation:

Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror

Lines of reflectional symmetry can be found in squares, circles, and triangles

The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry

Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].

The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.

The correct simplification is shown below:

[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote as instead of .

The square root of is and so she could have further simplified.

Step-by-step explanation:

On edge2021

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

Answer:

Hey there!

Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.

Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.

Let me know if this helps :)

Answer:

C)

Step-by-step explanation:

f(-5,1) & G(9,8)

Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                    = [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]

                     [tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]

Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2

Equation of line in slope intercept form : y = mx + b

m = - 2

So, option c will be the equation of the line perpendicular to FG

Answer:

1,296

Step-by-step explanation:

Answer:

1,296

Step-by-step explanation:

Well 6 to the 4th power is also,

6*6*6*6 which is 1,296.

Answer:

It would be the graph that has point (0,12) and is decreasing to the right.

Answer:

See below.

Step-by-step explanation:

The perimeter = 2*length + 2 * width.

As the ratio is 3:2 the fraction 3 / (3 +2)  is used to find the length:

The measure of the 2 lengths = 3/ (3+2)  * 60

= 3/5 * 60

= 36 cm

So the measure of the length = 18 cm

So the measure of  the width = (60 - 36) / 2

= 24/2

= 12 cm.

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

There were students who studied abroad in the most popular host country by forming the equation is 26,224

How equations are formed?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Here, It is given:

Total number of students = 44,064

Number of Host countries= 2

Let the 2nd most popular country= x

So, the Popular country becomes x+8382

Now, According to the question:

⇒x+x+8,382=44,064

⇒2x=44,064-8,382=35,682

⇒2x=35,682

⇒x=17,842

Hence, The number of students in 2nd most popular country=17,842

And, The number of students in a popular country

= 17,842+8,382=26,224

To learn more about forming equations, visit:

https://brainly.in/question/29041303

#SPJ2

Answer:

ii) £120

iii) £2,400

a) 10 workers

c) 4 workers more to be employed.

Step-by-step explanation:

ii) To find the buying price we deduct 20% (percent) from the selling price of £150.

= 20/100 x 150

= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120

iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as

12% or 12/100 x 20,000 = £2,400

a) Put simply, we create an equation for the problem.

4 men * 10 days = 40 man days.

X men * 4 days = 40 man days.

Let's substitute the equation:

(X/ 4) * (4/ 10) = 40 / 40

(X/4) * 0.4= 1 (collect like terms)

0.4 * x = 4

0.4x/0.4= 4/0.4

x = 10 workers.

(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

720=3x

Divide 3 on both sides

x=240

There are 60 minutes in 1 hour.

60 ÷ 3 = 20

12 × 20 = 240

In one hour, the airplane could fly at 240 miles.

Answer:

x=6

Step-by-step explanation:

Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.

Answer:

d

Step-by-step explanation:

Answer:

The answer to your question is -5

Step-by-step explanation:

Data

            [tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]

Process

1.- Subtract 5x in both sides

            [tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]

2.- Simplify

           [tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]

3.- Add 7/2 in both sides

           [tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]

4.- Simplify

           - [tex]\frac{7}{2} x = \frac{35}{2}[/tex]

5.- Solve for x

               x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]

6.- Simplify

               x = -5

Answer: x = -3.71

Step-by-step explanation:

3/2*-7/2=5x+14

-4.55=5x+14

Subtract 14

-18.55=5x

Divide by 5

x = -3.71

Hope it helps <3

Answer:

The top of the cake is 25.12 in²

Step-by-step explanation:

Hello!

So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.

Lets write out the circumference formula and use that to help us.

c = 2[tex]\\\pi[/tex] x r

pi is 3.14....

But lets use 3.14

c = 2(3.14) x 4

Plus this into a calculator and we get 25.12 as the answer.

Answer:

≈50.265 [tex]in^{2}[/tex]

Step-by-step explanation:

You first have to find the radius since the formula for the area of a circle is  A=[tex]\pi r^{2}[/tex].

Since the radius is half the diameter, just divide 8 by 2 which will give you 4.

r=4

Now plug in the radius into the formula and simplify.

A=[tex]\pi 4^{2}[/tex]

[tex]A=\pi 16[/tex]

≈50.265 [tex]in^{2}[/tex]

Answer:

interquartile range=20.55

Step-by-step explanation:

5.6, 11.1, 19.2, 24.5, 33.3

median is  19.2

Q1=(5.6+11.1)/2=8.35

Q3=(24.5+33.3)/2=28.9

interquartile range= Q3-Q1=28.9-8.35=20.55

Answer:

The car will travel approximately 13200  inches

Step-by-step explanation:

Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]

Then, in 200 revolutions the car will travel 200 times that amount:

[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]

So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:

[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

Answer

24 frames per second

Step-by-step explanation:

Total frames=86,400

Total time=1 hour

Find frame per second

1 hour= 60 minutes*60 seconds

1 hour=3600 seconds

Frame per second=Total frames/Total number of seconds

=86,400/3600

=24 frames per second

Answer:

D

Step-by-step explanation:

Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas

The sum can be found by adding the area of triangle A to the area of triangle B

That would be;

x^2 + x + x^2-3x = 2x^2 -2x

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter=2×5=10 cm

32/10=3.2≈3

128/10=12.8≈12

total number of squares=12×3=36

Answer:

63.4°

Step-by-step explanation:

The following data were obtained from the question:

Opposite = 6 cm

Adjacent = 3 cm

Angle x =?

The value of angle x can be obtained as follow:

Tan x = Opposite/Adjacent

Tan x = 6/3

Tan x = 2

Take the inverse of Tan.

x = Tan¯¹ 2

x = 63.4°

Therefore, the value of angle x is 63.4°

Answer:

63.4°

Step-by-step explanation:

8% lower means the gauge is showing 92% of the original pressure

( 100% - 8% = 92%)

Divide the pressure the gauge is showing by 92%

33.58 / 0.92 = 36.5

The actual pressure is 36.5

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

Answer:

y=3x+5

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

Δwzy=Δwzv

to prove the equality:

1- wz is a common side

angle:  wzv=wzy=90 degrees ( height of triangle)

angle v= angle y

Since WZ bisects W, it's good  to say that vwz and zwy

prove one side is equal and two angles

so ASA or AAS is the answer

Step-by-step explanation:

Hi,

Let's describe it in listing method;

S= {8,16,24}.

Hope you got it...

Answer:

VX = 8.8 in

Step-by-step explanation:

By applying Sine rule in the right triangle WXV,

Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{\text{VX}}{\text{WX}}[/tex]

Sin(34)° = [tex]\frac{VX}{15}[/tex]

VX = 15.Sin(34)°

     = 8.8379

     ≈ 8.8 in.

Therefore, measure of side VX is 8.8 in.

Answer:

[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

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

f(x) = x + 8

shift the graph 2 units to the right

f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6