Solve for the missing side to the nearest tenth.
16
30
X =

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%

Answer:

With river 12 miles per hour

Against river 9 miles per hour

wv = water velocity  vsw = boat velocity in still water

vsw +wv =  12 mph

vsw -wv = 9 mph

2 * vsw = 21 mph

boat velocity in still water = 10.5

Since vsw + wv = 12 then

water velocity = 1.5 mph

Step-by-step explanation:

Answer:

speed in still water: 10.5 Current: 1.5

Step-by-step explanation:

Answer:

The constant of proportionality is 5. It represents the cups of yellow paint needed for 1 cup of blue paint.

Answer:

50%

Step-by-step explanation:

Answer:                                                                                                                                      

Step-by-step explanation:

Answer:

(-4, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect would be the solution set to the systems of equations.

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

Simplify.

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

Answer:

I think A

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

Answer:

vertex: (0,3)

Axis of symmetry: x=0

y-intercept: (0,3)

x-intercept: n/a

min

A would be positive since the parabola opens at the top

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]

ATQ,

[tex]4x-10+x+30=90[/tex]

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

Answer:5

Step-by-step explanation:

Answer:

Inequality- m>26/3

Interval- (26/3,∞)

Step-by-step explanation:

I hope that this helps..sorry it took a minute

Answer:

m = 1

Step-by-step explanation:

slope = (y₂-y₁)/(x₂-x₁)

m = (4 - -1) / 1 - -4) = 5/5 = 1

Answer:

the answer is the top right option

Step-by-step explanation:

Answer:

a=4

b=6

perimiter=38

Step-by-step explanation:

you take the side lengths by it and you can subtract and stuff then you add them all up to find the perimeter

Answer:

3-9=6 and 6-10=4

Step-by-step explanation

part of b is cut by 3 as u can see above and 9 is at the bottom on which the part is cut, as for the other one 10 is the main line and is cut by 6. so u just have minus the main line aka the long line by a parallel line next to it

Answer:

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Step-by-step explanation:

3 2/3 cups of peanut butter (x)

2 cups of powdered sugar(y)

for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)

and  for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

Answer:

x = 5 ; y = 7

Step-by-step explanation:

3x - 2y = 1       --------------------(I)

 x + 4y  = 33 ------------(II)

Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y

(I)            3x - 2y = 1

(II)*(-3)   -3x -12y = -99         {Now add}

                 - 14y = -98

                        y = -98/14

y = 7

Plugin y = 7  in equation (I)

3x - 2*7 = 1

  3x - 14 = 1

         3x = 1 + 14

         3x = 15

           x = 15/3

x = 5

Answer:

x=20°

Step-by-step explanation:

The triangle is equilateral. (All sides are the same).

Each angle in an equilateral triangle is 60.

3x=60

x=20°

Answer:

20

Step-by-step explanation:

Answer:

a=4

b=-6

Step-by-step explanation:

3(2ax-10)=24x+5b

6ax - 30 = 24x + 5b

6a = 24

a = 4

5b = -30

b = -6

check: 3(2*4*x - 10) = 24x - 30 = 24x + 5 * (-6) = 24x - 30

Answer:

$153

Step-by-step explanation:

323/17=19

19x7=153

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

Answer:

It's %9.0.

Step-by-step explanation:

The width of the mat with the given area and length is 7/10 in.

The area of a rectangle is expressed as;

A = l × w

Where l is length and w is width.

Given the data in the question;

We plug our given values into the above equation and solve for w.

A = l × w

7/12 = 5/6 × w

w = 7/12 ÷ 5/6

w = 7/12 ÷ 6/5

w = 42/60

w = 7/10 in

Therefore, the width of the mat with the given area and length is 7/10 in.

Learn more about area of rectangle here: https://brainly.com/question/20693059

#SPJ1

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.