Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 32 feet, and 48 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH?

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Answer: B

Step-by-step explanation:

The range of a function is every valid y value, in this case represented by B

Answer:

Step-by-step explanation:

we khow that the height of the cylinder is 32 inches

divide it by 2 to get the radius 32/2= 16

let V be the volume :

The volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.

If the height of the cylinder is 32 inches.

The height of the cylinder and sphere are same.

Then the radius of the sphere will be

r = 32 / 2

r = 16 inches

Then the volume of the sphere will be

V = 4/3 π(16)³ cubic units

V = 5461.3 π cubic inches

Then the correct option is D.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ2

Answer:

p = 100

Step-by-step explanation:

If Q and T are midpoints, then the triangles URS and UQT are similar triangles and verify the following proportions:

[tex]\frac{QT}{RS} =\frac{UQ}{UR} =\frac{UT}{US} =\frac{1}{2}[/tex]

and all should equal 1/2 because Q and T are midpoints.

Then we study in particular the proportion:

[tex]\frac{QT}{RS} =\frac{1}{2}[/tex]

since we know both segments can be expressed in terms of "p" as indicated in the problem:

[tex]\frac{QT}{RS} =\frac{1}{2}\\\frac{p-87}{p-74} =\frac{1}{2}\\2(p-87)=p-74\\2p-174=p-74\\2p-p=174-74\\p=100[/tex]

Answer:

a) 280°

b) Ans - (D) P is North East of Q

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).

The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).

the location of point A after the transformations are complete is (-5, 1)

Answer:

the location of point A after the transformations are complete is (-5, 1)

Step-by-step explanation:

Answer:

hope its helpful to uh.......

Extract the normal vectors from the given planes:

[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]

[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]

(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].

Enter the cross product:

[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]

Simplify:

[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]

[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]

[tex]\boxed{4x+5y+3z=13}[/tex]

Answer:

108

Step-by-step explanation:

Add the sides of the triangle

5+3+4 = 12 then look for the height

which is 9

12*9 is 108

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

Answer:

Step-by-step explanation:

The no of different ways in which these restaurants can be visited

= ¹⁵P₁₅

= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 1.30 x 10¹²

b ) Each combination takes 1 week and 50 weeks in  a year to work

No of years to take to try all the combination

= 1.30 x 10¹² / 50

= 2.615 x 10¹⁰ years .

Hey there! :)

Answer:

f(-2) = 2.

Step-by-step explanation:

To find f(-2), we simply need to look at the y value at x = -2.

At x = -2, the y value is equal to 2.

Therefore:

f(-2) = 2.

Answer: b)2

Step-by-step explanation:

Visually, when x = -2, y = 2

Answer:

A. 8x² + 2y²

Step-by-step explanation:

There is a formula for the perimeter.

2l + 2w

2(4x²) + 2(y²)

8x² + 2y²

The perimeter of the rectangle is 8x² + 2y².

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Answer:

  x = 125°

Step-by-step explanation:

The sum of angles in an n-sided polygon is (180°)(n -2). For a hexagon, the sum of angles is ...

 (180°)(6 -2) = 720°

We can use this to find x.

  x +117° +124° +102° +145° +107° = 720°

  x = 720° -595°

  x = 125°

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

Answer:

Option 3

Step-by-step explanation:

|x| < 3 turns into -3 < x < 3

This says that x is between -3 and 3, but cannot equal either endpoint.

The graph will be a number line with open circles at -3 and 3. Then you shade in between those open circles.

It's the graph below vvv/ Have a good day! xx

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.

In this figure, they are similar because one side is half of the other.

So... divide the longer length in half and solve for x.

42 / 2 = 21

x - 1 = 21

x - 1 + 1 = 21 + 1

x = 22

Therefore, the answer is C.

Best of Luck!

Answer:

the answer is 5.

given, 2c-7c+8=-17

or, -5c=-17-5

or, c=-25/-5

therefore the value of c is 5...

Step-by-step explanation:

[tex]2c -7c +8 =-17\\Collect- like- terms\\2c-7c=-17-8\\Simplify\\-5c = -25\\Divide-both-sides-of-the-equation-by -5\\\frac{-5c}{-5} = \frac{-25}{-5} \\\\c = 5[/tex]

Answer:

I think the answer is B. Let me know if im right

Step-by-step explanation:

l*w*1/2 is the same as 1/2*y*(x2-x1)

Answer:

B

Step-by-step explanation:

To calculate the area of this triangle we must use vectors :

Now to calculte the area of this triangle we must apply this relation :

A= (1/2)*║x1y1-x2y2║

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

Given the table :

X - - - - Y

2 - - - - 10

4 - - - - 9

6 - - - - 8

8 - - - - 7

The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit

y = mx + c

x and y are the variables

m = slope or gradient of the line

c = intercept

The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.

The result obtained from the calculator is:

ŷ = -0.5X + 11

Step-by-step explanation:  y = negative 1 over 2x + 11 is the correct answer. I took the test. Have a good day! :D

Answer:

a) 1.84m

b) 42.53°

Step-by-step explanation:

First, look though the diagram provided by the question.

And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]

Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia

To find the length of AD

[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]

[tex]AD=\frac{2}{sin 90} * sin 67[/tex]

AD= 1.84 m

Find the angle C

[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]

sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]

= 0.736

[tex]sin^{-1} (0.736)=47.39[/tex] degree

So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.

Same as the first question use the formula of sine rule and you will get the answer.

[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]

[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]

=0.676

=42.53°

So, the answer of the angle of CAD is 42.53°

Check the answer:

90°+47.39°+42.53°

=179.92°

=180°(rounded off)(Proved)

That is all from me. I hope you will understand my solution.

Answer:

106

Step-by-step explanation:

given: 5t + 76

If t = 6, we substitute t=6 into the equation and solve:

5t + 76

= 5(6) + 76

= 30 + 76

= 106

Hi there! Hopefully this helps!

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Answer: 106.

First, we need to evaluate.

(Note: when a letter and a number are close to together [5t] it means to multiply)

So if "t" = 6 we rewrite the problem like this:

5(6) + 76.

5 x 6 = 30.

Now we rewrite the problem again.

30 + 76 = 106.

Answer:

2070

Step-by-step explanation:

Multiply 230 people by 9 ferries, if each ferry is used once.

Answer:

Answer:

59

Step-by-step explanation:

5: 30 pm is 2.5 hours after 3 : 00 pm

Substitute x = 2.5 into the equation

y = - 6.2(2.5)² + 41.5(2.5) - 5.6

  = - 38.75 + 103.75 - 5.6

  = 59.4

The average number of cars is 59

Answer:

10,000,000,000

hopefully this helped :3

Answer:

C.10,000,000,000

Step-by-step explanation: