This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.


What is the surface area of the image after the dilation?



185 5/8 m²


219 3/8 m²


247 1/2 m²


292 1/2 m²

It depends on what the level of significance (alpha) is.

Since alpha is not stated, I'll assume that alpha = 0.05 by default.

Because the p-value is smaller than alpha, we reject the null hypothesis.

Therefore, we conclude that the alternative hypothesis is correct and the proportion of heads is greater than 0.5

Answer:

dude

Step-by-step explanation:

how are you supposed to know but you are smart hopefully you will answer

well, if take a year to be 365 days so hmmm 150 days is really just 150/365 of a year, so let's use that.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$11000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\to \frac{150}{365}\dotfill &\frac{30}{73} \end{cases} \\\\\\ A=11000[1+(0.09)(\frac{30}{73})]\implies A=11000\left( \frac{757}{730} \right)\implies A\approx 11406.85[/tex]

5-3x=-128

LHS = RHS

(5 - 3) x A = -128

( 2 ) x A = -128

2A / 2 = -128 / 2

A = -64

By using the parallel condition and the fact that the distance to the origin is the same, we will see that a = 1 and b = 2.

First, remember that two lines are parallel if have the same slope and different y-intercept.

In this case, we know that

y = a*x - 1

b*y - (a + 1)*x = 2

Are parallel, if we write both of them in the slope-intercept form, we get:

y = a*x - 1

y = (a + 1)*x/b + 2/b

Note that because both of the lines are parallel, the slopes must be equal, then we have that:

(a + 1)/b = a

Then if we know that the distance of both lines to the origin is the same, we have that:

|-1/(√(a^2 + 1))| = | (2/b)/(√(((a + 1)/b)^2 + 1))|

Because the slopes are equal the denominators are equal, this means that:

|-1| = |2/b|

And the y-intercepts must be different, this means that:

b = 2

now we can solve:

(a + 1)/b = a

(a + 1)/2 = a

a + 1 = 2a

1 = 2a - a = a

a = 1 and b = 2.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Answer:

Rs 2464

Step-by-step explanation:

Given:

To find:

Solution : A/C to given data;

[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)

A/C to given data let, structure of room is cuboidal.

Now, we have to find out the height of the room, so we use formula of volume of the cuboid.

[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]

[tex]512 = 2B * 2H * H[/tex]

[tex]512 = 2 * 2H * 2H * H[/tex]

[tex]512 = 4H * 2H^{2}[/tex]

[tex]512 = 8H^{3}[/tex]

[tex]H^{3} = \frac{512}{8}[/tex]

[tex]H^{3} = 64[/tex]

[tex]H = \sqrt[3]{64}[/tex]

[tex]H = 4 m[/tex]

[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]

[tex]B = 2 * H[/tex]

[tex]B = 2 * 4[/tex]

[tex]B = 8 m[/tex]

[tex]\\[/tex]Now, put value of B in eq. {1}

[tex]L = 2 * B[/tex]

[tex]L = 2 * 8[/tex]

[tex]L = 16 m[/tex]

Now, we have to find out area of the room, so we use formula of total surface area of cuboid.

[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]

[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]

[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]

[tex]Area of the room = 256 + 128 + 64[/tex]

[tex]Area of the room = 384 + 64[/tex]

[tex]Area of the room = 448 m^{2}[/tex]

Now, to find out room wall plastering cost

[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]

[tex]Room wall plastering cost = 448 * 5.50[/tex]

[tex]Room wall plastering cost = Rs 2464[/tex]

[tex]ence, the room wall plastering cost is Rs 2464.[/tex]

Step-by-step explanation:

15 = 3/5 x = 3x/5

75 = 3x

x = 25 ounces

Answer:

look at the pic and stay safe!! hope it helps

Answer:

add two side by side values

Step-by-step explanation:

there are 5 values at the base of the pyramid.

4, 6, 3, 7 and 2

let's look at 6 and 3 first. when you add them together, you will get 9, which make up the upper layer of the pyramid. we can also support this statement when you add 7 with 2, which is also 9. so when you take 4 and add with 6, you will get 10, when you add 3 and 7, you will get 10.

now, let's see the second bottom layer. we get the answers as 10 in both blanks. so, add 10 with 9 and you will get 19, repeat with the other. so, the third layer will be 19, 19 and 19. to make the third layer complete, add 19 with 19, which will be 38. so, the fourth layer will be 38 and 38. add 38 with 38 and you will get 76 at the top of the pyramid.

Step-by-step explanation:

total money she has = $25

she bought a gallon of milk for $3.50

amount remaining = 25-3.50 = $21.50

number of cereal she can buy with the remaining amount =21.50/4.50 = 4.77 boxes

she can buy 5 boxes (approximately)

Formula for Pythagorean theorem is a squared plus b squared equals c squared. The longest side is c and the rest is a and bb. Since we already have c we use formula a squared equals c squared minus b squared. AsquaredsquaredsquaredsquaredAsquaredsquaredsquaredsquared my thing is broken so I can't continuecontinue. Hope this helpshelps though

Answer:

35 cm²

Step-by-step explanation:

Area of the 2 triangles combined:

1/2 x 4 x 5 = 10

Area of the square:

5 x 5 = 25

10 + 25 = 35

4×4 or 4×5 perimeter times area

Answer:

x = 8/3

Decimal form: 2.66666666667

Step-by-step explanation:

Given:

[tex]x+2x+8=10+6[/tex]

Solution:

[tex]\mathrm{Add\:similar\:terms:}\:x+2x=3[/tex]

[tex]3x+8=10+6[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]3x+8-8=16-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{8}{3}[/tex]

[tex]x=2.66666666667[/tex]

~lenvy~

Answer/Step-by-step explanation:

Base on the given we are..

Solving for x:

Solve:

X + 2x + 8 = X = 10 + 6          {x+2x= 3x}

3x + 8 = 10 + 6                        {10+6=16}

3x + 8-8=16-8                           {16-8=8}

3x = 8                                  {divide both sides by same term}

3x/3 = 8/3

Therefore,

x = 8/3

Decimal form = 2.66666666667

[RevyBreeze]

Answer:

The answer is 40. I'm 100% sure.

Answer:

D.40

Step-by-step explanation:

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

Answer:

The bother's weight is 46.5 lb.

Step-by-step explanation:

Let the brother's weight be b.

Antonio's weight is 2b + 4.

Antonio's weight is 97 lb.

2b + 4 = 97

2b = 93

b = 46.5 lb

Answer: The bother's weight is 46.5 lb.

Answer:

See below ↓

Step-by-step explanation:

1)

2)

Answer:

Step-by-step explanation:

Rotate counter-clockwise = from right towards left  

Rotate 90° about the origin = We can think that our rectangle is a flag and that we added a pole to it. The pole is rotated counter-clockwise about the origin until we have the 90°. Where is the flag now positioned?

(Draw a line from origin to one of the rectangle's points; draw another line from origin that is ⊥ to the previous one. You rotate that point 90° from right to left and will lend on the new line.)

1. K (-6, 3) L (-4, 5) M (-1, 2) N (-3, 0) → K' (-3,-6) L'(-5, -4) M'(-2, -1) N'(0, -3)

2. We notice that the rule for rotating 90° about the origin is (x, y)→(-y, x)

Answer:

4

Step-by-step explanation:

(12y2-2y+18)/(4y2-y+6)=3-2+3=4

Answer:

170°

Step-by-step explanation:

There is a total of 180° and the angle is 10° less...

So, 180°-10° = 170°

Please 5 stars if correct!!!

I hope this helps!!!

Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

Answer:

48

Step-by-step explanation:

vertical angles are equal

Answer:

48

Step-by-step explanation:

This is because vertical angles (which is opposite of each other when the two lines cross) are congruent, meaning they have the same angles.

Answer:

$168

Step-by-step explanation:

x + 3x = 672

4x = 672

x = 672 / 4

x = 168

Farah has $168

490 x 2/5 = 980/5 = 196 girls at Garland

945 x 5/7 = 4725/7 = 675 girls at Bowood

Bowood has more girls:

675-196 = 479 more

Answer:

Final answer -

[tex]d(FD) = \sqrt{65 } \: units[/tex]

hope helpful :D

Answer:

the numbee from left to right :

-1.5

-0.25

0.75

1.25

2.25

Answer:

-3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Convert the fractions into decimals:

2 1/4 = 2.25

-15% = -0.15

143% = 1.43

-3/2 = -1.5

0.80 = 0.80

The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4

Hope this helps :)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \:b(b + 12) = 0[/tex]

Here, we have two cases :

[tex]\qquad \sf  \dashrightarrow \:b = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b + 12 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b = - 12[/tex]

Hence, 0 and -12 are the only possible solutions for given equation.