Which representation shows y as a function of x?

Answer:

b.area of one triangular faces =9m²

Answer:

Dot plot A

Step-by-step explanation:

In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.

___ Frequency

6 1/2 - 1

6 3/4 - 2

7 = 5

7 1/4 = 4

7 1/2 = 5

7 3/4 = 2

8 1/4 = 1

The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.

Here, radius = [tex]\frac{14}{2}[/tex]

= 7 mm

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].

Here, the volume of a cylinder = 3.14×7²×10

= 3.14×49×10

= 1538.6 cubic millimeter

Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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Answer:

41.67 kg

72 books

Step-by-step explanation:

mass of 150 books = 150/108 × 30 kg

= 41.67 kg

number of books = 20/30 × 108 books

= 72 books

Answer:

x=6

Step-by-step explanation:

Kindly look at the image provided below.

The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.

The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.

So ∠FHG = 1/2 ( arc FG + arc EB )

* substitute the given expressions for each angle and arc *

we would then have

15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )

We now solve for x

Step 1 multiply each side by 2

1/2 ( -2 + 12x + 16x + 10 ) *2  = ( the 2 and 1/2 cancels out )  -2 + 12x + 16x + 10

(15x - 2 )2 = 30x - 4

we now have -2 + 12x + 16x + 10 = 30x - 4

step 2 combine like terms

-2 + 10 = 8

12x + 16x = 28x

now we have 30x - 4  = 28x + 8

step 3 add 4 to each side

-4 + 4 cancels out

8 + 4 = 12

Now we have 30x = 28x + 12

step 4 subtract 28x from each side

30x - 28x = 2x

28x - 28x cancels out

now we have 2x = 12

step 5 divide each side by 2

2x / 2 = x

12 / 2 = 6

we're left with x = 6

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

In ∆ ABC :-

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

Answer:

5.83

Step-by-step explanation:

Use the Pythagorean theorem:

3^2+5^2 = c^2

34 = c^2

sqrt34 = c

5.83 = c

Answer:

A) 283500 ft³

B) 1057.26 π in³

Step-by-step explanation:

A) Volume of square based pyramid

= 1/3 × Area of the base × height

= 1/3 × (90 ft)² × 105 ft

= 283500 ft³

B) This figure is a composite figure

Step 1

Find the volume of the cone

=1/3 πr²h

r = radius = 8.5 in

h = height = 10 in

= 1/3 × π × (8.5 in)² × 10 in

= 240.83333333 π in³

≈ 240.83 π in³

Step 2

Find the volume of the cylinder

= πr²h

= r = radius = 8.5 in

h = height = 11.3 in

= π × (8.5 in)² × 11.3 in

= 816.425 π in³

≈ 816.43π in³

Volume of the figure = (240.83 π + 816.43 π) in³

= 1057.26 π in³

Answer:

[tex]SA= 720 m^2[/tex]

Step-by-step explanation:

[tex]x=\sqrt{5^2+12^2}=13m[/tex]

[tex]AS=2*1/2*12+12*22+5*22+13*22[/tex]

[tex]= 60+264+110+13*22[/tex]

[tex]AS= 720m^2[/tex]

⋆┈┈｡ﾟ❃ུ۪ ❀ུ۪ ❁ུ۪ ❃ུ۪ ❀ུ۪ ﾟ｡┈┈⋆

hope it helps...

have a great day!!

Answer:

SA=720m^2

Step-by-step explanation:

hope it helps you ..

Answer:

4. H0: u1= u2    Ha; u1≠ u2

5. The smaller value of p supports the null hypothesis.

Step-by-step explanation:

4. The null and alternate hypotheses are

H0: u1= u2   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1≠ u2   i.e there a difference between the mean pinch strengthof the two surgeries

It can be written like this as well

H0: u1 -u2= 0   i.e there no difference between the mean pinch strengthof the two surgeries

against the claim

Ha; u1 -u2≠ 0   i.e there a difference between the mean pinch strengthof the two surgeries

Part 5. The test having a p- value less than 0.05  tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.

The smaller value of p supports the null hypothesis.

Answer:

12

Step-by-step explanation:

Please write this function as P(x) = x^3 + 7x^2 + 4x + 0.  This third order function has four coefficients.  We set up synthetic division with -2 as the divisor:

-2   /   1    7    4    0

              -2   -10  12

     ----------------------

        1      5     -6  12

The remainder is 12.  Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

Answer:

what is the area of the trapezoid

Answer:

b

Step-by-step explanation:

Answer:

it is A. or B.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

1000 / 73 = 13.69 , but it asks for full rows so you get rid of the decimal if it can't be round up to a whole number

Answer:

ANSWER:

13

So he can make 13 full rows of 73 trees

and 69 in another row

Answer:

1/8 or 0.125

Step-by-step explanation:

So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..

...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."

Well, oof.

Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.

To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:

Same for the ham:

Putting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....

..and a fruit.

Hope this helped!

If you need me to show my work, just comment me and I will attach a screenshot!

Source: N/A

Answer:

1 or 3 sorry if wrong

Step-by-step explanation:

Answer:

the answer is -3/5

Step-by-step explanation:

x=-0.6

Answer:

0   =5x+3

-3   =5x

-3/5=x

    x=-3/5

Answer:

60

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

[tex] \sqrt{300 } = 17.32[/tex]

Round to the nearest whole number which is 17.

Answer:

c = 3477 feet (As rounded to the nearest whole number)

Step-by-step explanation:

We will use the Sin ratio for this problem since the opposite side of the Angle 15 is given and we have to find the triangle's hypotenuse;

Sin(15) = [tex]\frac{900}{c}[/tex]

=> Now isolate the variable c all to itself;

Sin(15) * c = 900

c = [tex]\frac{900}{Sin(15)}[/tex]

c = 3477.33 or 3477 feet

Hope this helps!

Answer:

140 pounds

Step-by-step explanation:

let s == small box

m = medium box

= large box

the following 3 equations can be derived from the question

s + m = 20 equation 1

m + l = 28  equation 2

l + s = 24  equation 3

make m the subject of the formula in equation 1 and 2

m = 20 - s  equation 4

m = 28 - l  equation 5

equate equation 4 and 5

20 - s = 28 - l

l - s = 8  equation 6

solve equation 3 and 6 using simultaneous equation

l + s = 24  equation 3

l - s = 8  equation 6

subtract equation 6 from 3

2s = 16

s = 8

substitute for s in equation 1

8 + m = 20

m = 12

substitute for m in equation 2

12 + l = 28

l = 16

total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds