The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square

Answer:

  3.5 times as large

Step-by-step explanation:

The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:

  a : b = 7 : 2 = 7/2

'a' is 7/2 = 3.5 times as large as 'b'

Answer:

45°

Step-by-step explanation:

This is right triangle with equal legs of √31

Since two sides are equal and the angle between them is 90°, other angles are equal and their value is:

Answer is m∠V= 45°

Answer:

poop

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Length ( l ) = 5 meters

Width ( w ) = [tex]6 \frac{3}{4} [/tex] meters

Height ( h ) = [tex]3 \frac{1}{2} [/tex] meters

Now, Let's find the volume of rectangular prism :

[tex]volume \: = l \: \times \: w \: \times \: h[/tex]

plug the values

[tex] = 5 \times \frac{27}{4} \times \frac{7}{2} [/tex]

Calculate the product

[tex] = \frac{5 \times 27 \times 7}{4 \times 2} [/tex]

[tex] = \frac{945}{8} [/tex]

[tex] = 118.13 \: {m}^{2} [/tex]

Hope this helps..

Best regards!!

Answer: All three of the altitudes lie entirely outside the triangle.

Step-by-step explanation:

The orthocenter is the center of the triangle formed by creating all the altitudes of each side.  

The altitude of a triangle is formed by creating a line from each vertex that is perpendicular to the opposite side.  

In acute traingle , the orthocenter lies inside it.

In right angled triangle, the orthocenter lies on the triangle.

In obtuse triangle , the orthocenter lies outside the triangle because all the three altitudes meet outside .

So, the best explains why the orthocenter of an obtuse triangle is outside the triangle : All three of the altitudes lie entirely outside the triangle.

Answer: It’s A on edge

Answer:

The graph shaded outside the parabola and the curve is solid.

Step-by-step explanation:

The given inequality is  

[tex]y+4x\leq x^2+2[/tex]

It can be rewritten as

[tex]y\leq x^2-4x+2[/tex]

The sign of inequality is [tex]\leq[/tex], so the curve is a solid line.

The related equation of line is

[tex]y=x^2-4x+2[/tex]

Table of values is

x          0          2          4

y          2         -2          2

Plot these points and draw a U-shaped curve.

Check the equality for (0,0).

[tex]0\leq (0)^2-4(0)+2[/tex]

[tex]0\leq 2[/tex]

This statement is true. So, (0,0) lies in the shaded portion.

So, shade the graph outside the parabola.

Answer:

[tex]\boxed{\sf No}[/tex]

Step-by-step explanation:

[tex](q-r)^2[/tex]

Expand brackets.

[tex](q-r)(q-r)[/tex]

[tex]q^2 -rq -rq+r^2[/tex]

Combine like terms.

[tex]q^2 -2rq+r^2[/tex]

The expression is not equal to [tex]q^2 -r^2[/tex].

Answer:

Yes, they are.

Step-by-step explanation:

[tex](q - r) {}^{2} =( q) {}^{2} - (r) {}^{2} = q {}^{2} - r {}^{2} [/tex]

[tex](q - r) {}^{2} = q {}^{2} - r {}^{2} [/tex]

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{-432\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]( 2 \sqrt{-2} )( 3 \sqrt{4} ) \sqrt{-3} \times ( 2 \sqrt{-3} )( 3 \sqrt{2} ) \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times \sqrt{4} \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times \sqrt{2} \times \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times 2[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times -3 \times 2 \times 3 \times 2[/tex]

[tex]-432\sqrt{2}\sqrt{-1}[/tex]

[tex]-432\sqrt{2} i[/tex]

Answer: it’s d!

Step-by-step explanation:

Answer:

Consumption in the 20th year  = 82252 (nearest unit)

Step-by-step explanation:

Exponential growth problem.

Current consumption (year 0), P = 31000

growth rate, r = 5%

consumption in nth year

P(n) = P(1+r)^n

for the 20th year,

P(20) = P((1+r)^20) = 31000*1.05^20 = 82252.2 m^3  

(note: annual water consumption in a town is likely to be measured by m^3, please double check)

The required volume of water will be used at 82253 liters.

The annual water usage rate increase 5% annually with current usage is 31000 liters. After 20 years what will be the volume usage? To determine.

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here, the rate of volume of water usage increases exponentially by 5%, current usage  = 31000. So Usage for the 20th year,
= 31000(1+5%)^20
=31000(1.05)^20
= 82253 liters

Thus, The required volume of water will be used at 82253 liters.

learn more about exponential function here:

brainly.com/question/15352175

#SPJ2

Answer:

X= -4

X=-2

Step-by-step explanation:

for

|a|=b

assume

a=b and a=-b

so

3-2|0.5x+1.5|=-2

minus 3 both sides

-2|0.5x+1.5|=-1

divide both sides by -2

|0.5x+1.5|=0.5

set negative and postivive

0.5x+1.5=0.5 and 0.5x+1.5=-0.5

solve each

0.5x+1.5=0.5

minus 1.5 both sides

0.5x=-1

times - 2 both sides

x=-2

other

0.5x+1.5=-0.5

minus 1.5 from oth sides

0.5x=-2

times 2 both sides

x=-4

the solutions are x=-2 and x=-4

Answer:

x=-4

Step-by-step explanation:

Answer:

r=9

EF = 55

Step-by-step explanation:

CF = ED

9r - 6 = 8r+3

Subtract 8r from each side

9r-8r - 6 = 8r-8r+3

r-6 =3

Add 6 to each side

r-6+6 = 3+6

r = 9

EF= CD = 4r+19

            = 4*9+19

              =36+ 19

               =55

Hey there! I'm happy to help!

To find the volume of a cylinder, you multiply the base by the height and then divide by three. The volume of a cone is the same as the volume of a cylinder with the same dimensions divided by three.

So, since a cone's volume is 1/3 of that of a cylinder, we just divide 72 by 3!

72/3=24

Therefore, the volume of the cone is 24 feet cubed.

Have a wonderful day! :D

Answer: its 24.

Step-by-step explanation:

Answer:

f(x) = 2(x –3)²

Step-by-step explanation:

f(x) = 2x² – 12x + 18

The vertex form of the above expression can be obtained as follow:

f(x) = 2x² – 12x + 18

Factorise

f(x) = 2(x² – 6x + 9)

Next, we shall simplify x² – 6x + 9 by factorisation method.

This is illustrated below:

x² – 6x + 9

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.

The factors are –3x and –3x

Next, replace –6x with –3x and –3x in the equation above as shown below:

x² – 6x + 9

x² – 3x –3x + 9

Factorise

x(x – 3) –3(x –3)

(x –3)(x –3)

(x –3)²

f(x) = 2x² – 12x + 18

f(x) = 2(x² – 6x + 9)

f(x) = 2(x –3)²

Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is

f(x) = 2(x –3)²

Answer:

67 - p = 52

Step-by-step explanation:

the train starts with 47 people:      47

it picks up 20 more:      47 + 20 = 67

p people get off:                            67 - p

52 people are left on train:           67 - p = 52

Answer:

The second choice should be the best fit line.

Answer:

t = -(25/112)

Answer:

is perpendicular to line segment  

GH

. If the length of  is a units, then the length of  is  

a

units.

Step-by-step explanation:

had to do it myself.

Answer:

Blank 1-
GH

Blank 2-
a

AB is perpendicular to line segment GH. If the length of EF is a units, then the length of GH is a units.

Step-by-step explanation:

I got it correct

Answer:

Hey there!

Angle DAE and EAF are complementary angles, meaning that they add to 90 degrees.

Thus, we have 65+x=90

Solving for x we have 25.

Hope this helps :)

Answer:

$95.42  more

Step-by-step explanation:

To find out how much money was made with Investment A after 2 years:

First, we are told that 160 dollars is saved per month for 2 years.  There are 24 months in 2 years, so we have to multiply $160 by 24 months.

160 *24=$3840 after 2 years.

Next, we learn thar 2.5% interest rate is added to the total amount saved in those two years.  So, we must turn 2.5% in to a decimal, which is 0.025.

Now, multiply 3840*0.025 to get $96.

We have to add that on the the amount saved, so 3840+96=$3936.

Investment A made $3936 after 2 years.

To find out how much money was made with Investment B.

So, we have to find compound interest.  The formula for compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

In this problem: P=3800, r=3% or 0.03, n=1, and t=2.

So, lets write it out: [tex]A=3800(1+\frac{0.03}{1} )^{2*1}[/tex]

That becomes: [tex]A=3800(1.03)^{2}[/tex]

Simplify it even further: [tex]A=3800(1.0609)[/tex]

Multiply the last two numbers to get: [tex]A=4031.42[/tex]

Investment B made $4031.42 after 2 years.

The question asks us to find out how much more money Investment B made than Investment A after 2 years.  It's simple.  Just subtract Investment A's amount from Investment B's amount.

4031.42-3936=95.42

Investment B made $95.42 more than Investment A after 2 years.

Answer:

37

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

292

Step-by-step explanation:

To factor this, we need to multiply 18 by 18 to get 324 because the ^2 means you have to multiply the number by itself twice. Then, we subtract 32 from 324 to get our answer 292.

Answer:

The domain is all real numbers but x ≠15/14

Step-by-step explanation:

The domain is the numbers that are allowed for x

f(x) = 50 / (14x-15)

The denominator is not allowed to go to zero or we are dividing by zero

14x-15 cannot equal zero

14x-15≠0

Add 15 to each side

14x ≠15

Divide by 14

x ≠15/14

The domain is all real numbers but x ≠15/14

Real numbers are those that can be shown on a number line.

Answer:

[tex]\boxed{\frac{15}{14} }[/tex]

Step-by-step explanation:

The domain of a function is the set of all possible values for x.

If the denominator of the function equals 0, then the output is undefined.

Put up an equation to solve for x.

14x - 15 = 0

Add 15 to both the sides.

14x = 15

Divide both sides by 14.

[tex]\displaystyle \frac{14x}{14} =\frac{15}{14}[/tex]

x = [tex]\displaystyle \frac{15}{14}[/tex]

When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.

Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).

A shape with a line of symmetry will land on itself, when reflected across the line of symmetry. The true statements are:

From the question, we understand that; the rectangle is reflected across the line of symmetry

When this is done, the half of the rectangle will land directly on the other half.

This means that, the diagonal of the rectangle will land perfectly on the other diagonal

The statement above suggests that, the diagonal of a rectangle is also a line of symmetry of the rectangle.

Read more about lines of symmetry and diagonals at:

https://brainly.com/question/1045307

Answer:

Her commission rate is 7.44%

Step-by-step explanation:

The parameters given are;

The amount Mary earns annually = $28,000

The amount Mary grossed during a week = $658.00

The amount Mary had sold during the week to make the amount grossed during the week = $1673.19

Given that Mary makes $28,000 per year

Therefore;

The amount Mary earns per week = Amount earned per year/52

The amount Mary earns per week =  $28,000/52 = $538.46

The amount extra she made on commission = $658.00- $538.46= $119.54

The commission rate = Commission earned/(Amount of merchandise sold)×100

The commission rate = 119.54/1673.19 × 100 = 7.14%

Her commission rate = 7.44%

Answer:

Step-by-step explanation:

The length of side length VY is 4z+2

The same as side length WX

Answer:

a) 2a + 3c = $44.50

     a + 2c + $25.50

b) $19

Step-by-step explanation:

Simultaneous equations. A = adult. C = children

2a + 3c = $44.50 (EQUATION 1)

a + 2c = $25.50 (EQUATION 2)

Now solve this using the method of elimination:

2a + 3c = $44.50 (EQUATION 1)

a + 2c = $25.50 (EQUATION 2)

Multiply equation 2 by 2 so that both equations have the same a coefficient.

2a + 4c = $51 (NEW EQUATION 2)

Now subtract equation 1 from equation 2:

2a - 2a + 4c - 3c = $51 - $44.50 (2a cancels out)

c = $6.50

Now substitute c into one of the equation, in this case, I'm using original equation 2.

a + 2($6.50) = $25.50

a + $13 = $25.50

a = $12.50

Total cost of one adult and child = $6.50 + $12.50

                                                       = $19

Answer:

option d

Step-by-step explanation:

hope this helps

Answer:

A = 55

B = 60

Step-by-step explanation:

We know that 55+ b+ other angle = 180 since they make a straight line

The other angle = 65 since they are alternate interior angles

55+ B+ 65 = 180

Combine like terms

120 + B = 180

B = 60

A + B + 65 = 180 interior angles of a triangle must equal 180 degrees

A +60+ 65 =180  

Combine like terms

A +125 = 180

A = 55

Answer:

[tex]\boxed{A = 55\°}[/tex]

[tex]\boxed{B = 60\°}[/tex]

Step-by-step explanation:

Exterior Angle with A = 180 - 55 = 125 degrees  (Angles on a straight line)

The measure of exterior angle is equal to the sum of non-adjacent interior angles.

So,

125° = B + 65°

B = 125 - 65

B = 60°

Now,

A = 180 - 60 - 65     (Interior angles of a triangle add up to 180 degrees)

A = 55°

Answer:

Let x be the original number.  Also, please note that a percentage can be written as a decimal(54%=0.54), and that a percentage increase is the percent +1(A 54% increase is x*1.54), and that a percentage decrease is 1- the percent(A 54% decrease is 0.46)

1)1.8*0.6x= 1.08x (greater than the original)

2).6666*1.5x=0.9999x (same as original)(.999999 is essentially 1, because .3333 is not equal to 1/3)

3)x+25-30 = x-5 (less than original)

4)0.5*2x=x (same as original)

5)1.2*.75x=.9x (less than original)

Hope it helps <3

Greater than the original.

Same as the original.

Less than the original.

Same as the original.

Less than the original.

To check all the scenarios, let's say that the original value is 100.

An 80% increase followed by a 40% decrease:

100 * (1 + 0.8) = 100 * 1.8 = 180.

180 * (1 - 0.4) = 180 * 0.6 = 108.

It is greater than the original.

A 33 1/3% decrease followed by a 50% increase:

100 * (1 - 0.33333333) = 100 * 0.6666666667 = 66.666666667.

66.6666666667 * (1 + 0.5) = 66.666666667 * (3/2) = 100.

It is the same as the original.

A $25 increase followed by a $30 decrease:

100 + 25 = 125.

125 - 30 = 95.

It is less than the original.

A 50% decrease followed by a 100% increase:

100 * (1 - 0.5) = 100 * 0.5 = 50.

50 * (1 + 1) = 50 * 2 = 100.

It is the same as the original.

A 20% increase followed by a 25% decrease:

100 * (1 + 0.2) = 100 * 1.2 = 120.

120 * (1 - 0.25) = 120 * 0.75 = 90.

It is less than the original.

Answer:

113.625 miles

Step-by-step explanation:

3 hours at a rate of 30 mile/hr : 3*30=90 miles

2 1/4 hours at a rate of 10 1/2 miles/hr= 2 1/4 *10 1/2= 2.25*10.5=23.625

total miles the object traveled : 90+23.625=113.625 miles