The area of a trapezoid is 46 square yards. If the height is 4 yards and the length of one of the bases is 16 yards,determine the length of the other base

Answer:

73 could be wrong

Step-by-step explanation:

55x55+48x48=5329

✓5329

73

Answer: 19.52 seconds

Step-by-step explanation:

9.2 seconds + 10.32 seconds = 19.52 seconds

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/n-(8/7)=0

Step by step solution :

STEP 1:

           8

Simplify   —

           7

The equation at the end of step

1:

 7    8

 — -  —  = 0

 n    7

STEP 2:

           7

Simplify   —

           n

The equation at the end of step

2:

 7    8

 — -  —  = 0

 n    7

STEP 3:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       n

     The right denominator is :       7

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 0 1 1

Product of all

Prime Factors  1 7 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

n  1 0 1

     Least Common Multiple:

     7n

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 7

  Right_M = L.C.M / R_Deno = n

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • 7

  ——————————————————  =   —————

        L.C.M              7n  

  R. Mult. • R. Num.      8 • n

  ——————————————————  =   —————

        L.C.M              7n  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 7 - (8 • n)     49 - 8n

———————————————  =  ———————

      7n              7n  

The equation at the end of step

3

:

 49 - 8n

 ———————  = 0

   7n  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.

Here's how:

 49-8n

 ————— • 7n = 0 • 7n

  7n  

Now, on the left-hand side, the  7n  cancels out the denominator, while, on the right-hand side, zero times anything is still zero.

The equation now takes the shape :

  49-8n  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -8n+49 = 0

Subtract  49  from both sides of the equation :

                     -8n = -49

Multiply both sides of the equation by (-1) :  8n = 49

Divide both sides of the equation by 8:

                    n = 49/8 = 6.125

One solution was found :

n = 49/8 = 6.125

Step-by-step explanation:

hope this helps...

The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

We have been given an equation [tex](7^2)^4=n^8[/tex]

Consider an algebraic expression on the left side of the above equation.

[tex](7^2)^4[/tex]

Using the properties of exponents we can write it as,

[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]

So, given equation becomes,

[tex]7^8=n^8[/tex]

Since power is same, base of above exponents is equal.

⇒ n = 7

Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

Learn more about the exponents here:

https://brainly.com/question/12158740

#SPJ2

Answer:

A- (-2,-2)

Step-by-step explanation:

If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).

Hope this helped.

Answer:

See answers below

Step-by-step explanation:

Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *

a) Note that 1000g = 1kg

8250g = x

1000 * x = 8250

1000x = 8250

x = 8250/1000

x = 8.25kg

b) 10 3/4 l to ml

1l = 0.001ml

10 3/4 l  = x

Cross multiply

1 * x = 10 3/4 * 0.001

x = 43/4 * 0.001

x = 0.043/4

x = 0.01075ml

c) 6m 5cm to cm

Since 1m = 100cm

6m 5cm

= 6(100) + 5

= 600 + 5

= 605cm

d) 600km 50m to m

1000m = 1km

x = 9km

x  = 9000m

600kn 50m

= 9000m + 50m

= 9050m

Answer:

The answer is 90 degrees.

Step-by-step explanation:

If you want an explination, I'm more than happy to explain.

Answer:x=90

Step-by-step explanation:

90

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2

Answer:

C and D

Step-by-step explanation:

I'm too braindead to explain this, read comments

Answer:

-2 1/72

Step-by-step explanation:

Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.

Hope this helps!

Answer:

Cells we are made of Stem cells

Red blood cells

White blood cells

Step-by-step explanation:

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

Answer:

72 m

Step-by-step explanation:

If Brenda is going 12m north and 60m east, that's a total of 72m because 12+60 = 72, so if Brenda wants to come directly back to the dock she will just have to follow her footsteps back 72m.

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

Answer:

180

or if your looking for math books then

48

Step-by-step explanation:

36+62=98

98+34=132

180-132=48

Answer:

180

Step-by-step explanation:

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given

[tex]-x + 1 = -4[/tex]

[tex]-x = -5[/tex]

Required

State which property is used

The word that describes the operation is; subtraction property of equality.

This property states that:

if [tex]x = y[/tex] then

[tex]x - a = y - a[/tex]

So, for the given  equation:

[tex]-x + 1 = -4[/tex]

When the subtraction property of equality is applied

[tex]-x + 1 - 1 = -4 - 1[/tex]

[tex]-x = -5[/tex]

So:

(a) Subtraction Property of Equality is correct

Answer:

hewo

Step-by-step explanation:

i dont know- probably bc they don't want to

Answer:

Height of the fighter plane =1.5km=1500 m

Speed of the fighter plane, v=720km/h=200 m/s

Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

Muzzle velocity of the gun, u=600 m/s

Time taken by the shell to hit the plane =t

Horizontal distance travelled by the shell =u

x

t

Distance travelled by the plane =vt

The shell hits the plane. Hence, these two distances must be equal.

u

x

t=vt

u Sin θ=v

Sin θ=v/u

=200/600=1/3=0.33

θ=Sin

−1

(0.33)=19.50

In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.

H

max

=u

2

sin

2

(90−θ)/2g=600

2

/(2×10)=16km

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that

Answer:

17/6

Step-by-step explanation:

We know that,

perimeter of rectangle=2(l+b)

or,50=2(2x+x+4)

or,50=2(3x+4)

or,25=6x+8

or,17=6x

•x=17/6

Answer:

73.67

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Use the formula y2-y1/x2-x1 to find the answer to a slope next time! :D

Answer:

460 pounds.

Step-by-step explanation:

5% of 2,300 is 115. Since it is in there for four years, you multiply 115 by 4 to get 460.

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

10.

Because the ratio is how many problems:How much time so it is 2:15

Multiply each side by 5 10:75

So that means 10 problems in 75 minuets.

HOPE THIS HELPED!!!

Answer:

10

Step-by-step explanation:

Set up the following proportion.

2 questions /15 minutes = x questions / 75 minutes.

Notice that both ratios are set up the same way -- questions / time. All proportions are set up the same way.

Mulltiply both sides by 75

2 * 75 / 15 = x

2 * 5 = x

x = 10

She would be able to solve 10 problems in 75 minutes.

To find 1/3 of 180, we need to multiply 180 by 1/3, or divide 180 by 3. For this one, we will try both methods.

180/1 x 1/3 = 180/3 or 60

180 / 3 =60

Since we now know how much was sold, we need to find what is left. We need to subtract 180 by 60.

180-60=120

So 120 bottles are left. Now, since 3/5 of 120 were sold the next day, we need to multiply 120 by 3/5.

120/1 x 3/5 = 360/5 or 72.

Now we know that 72 bottles were sold on Saturday. Subtract 120 by 72 to know how much is left in total.

120-72=48

60 bottles of water were sold on Friday.

72 bottles of water were sold on Saturday.

There were 12 more bottles sold on Saturday than Friday.

---

hope it helps

Answer:

60,000

Step-by-step explanation:

I may be wrong hope not.

Answer:

3.6

Step-by-step explanation:

WE can add 0+2+2+2+2+3+3+3+4+4+4+4+4+5+5+5+5+5+5+5 to get 72. WE then divide by 20 and get 3.6