Find the dimensions of a triangle given the base, height, and area. b=8 inches h=7 inches A=28 square inches

Hey there! I'm happy to help!

Let's call our fraction x.

x=3.777......

We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.

We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.

10x=37.7777

-

x=3.77777

=

9x=34

We divide both sides by 9.

x=34/9=3 7/9.

Have a wonderful day! :D

Answer:

5

Step-by-step explanation:

y = 2x - 3

{ x = 4 }

y = 2(4)-3= 8 - 3 = 5

2. get the best price for a good

Answer:

the fire hydrant is 9 meters west and 58 m south of the tower

Step-by-step explanation:

Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east  and 40 meters south of the tower, It can be represented as (75, -40).  Fire B is 37 meters west and 64 meters south of the tower,  It can be represented as (-37, -64).

If a point O(x, y) divides a line segment AB in the ratio n:m, with A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]), the point O(x, y) is at:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{3}{4}(-37-75) +75=\frac{3}{4}(-112)+75=-84+75\\x=-9 \\ \\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{3}{4}(-64-(-40))+(-40)= \frac{3}{4}(-18)-40=-18-40\\y=-58[/tex]

The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower

The location of the hydrant relative to the tower is [tex]\left(-9, -58 \right)[/tex] meters.

In this question we should use the vectorial formula for a line segment to determine the coordinates of the hydrant relative to the tower ([tex]\vec C[/tex]), in meters:

[tex]\vec C = \vec A + r\cdot (\vec B - \vec A)[/tex] (1)

Where:

Now we determine the location of the hydrant: ([tex]\vec A = (75, -40)\,[m][/tex], [tex]\vec B = (-37, -64)\,[m][/tex], [tex]r = \frac{3}{4}[/tex])

[tex]\vec C = (75,-40) + \frac{3}{4}\cdot [(-37,-64)-(75,-40)][/tex]

[tex]\vec C = (75,-40) + \frac{3}{4} \cdot (-112,-24)[/tex]

[tex]\vec C = (75,-40) + \left(-84, -18\right)[/tex]

[tex]\vec C = \left(-9, -58 \right)\,[m][/tex]

The location of the hydrant relative to the tower is [tex]\left(-9, -58 \right)[/tex] meters. [tex]\blacksquare[/tex]

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Answer: B

Step-by-step explanation: Cuz I got a calculator

Hope this helps

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is [tex]0.3\overline{18}[/tex]

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the decimal expansion of 7/22, we need to perform a long division:

  0.3181818...

-----------------

22 | 7.0000000

   6.6

   -----

   3.4

   3.3

   ---

     10

      8

      --

      20

      18

      ---

       20

       18

       --

        200

        198

        ---

          20

          22

          --

          -2

Now,

0.3181818 can be written as [tex]0.3\overline{18}[/tex]

Therefore,

The decimal expansion of 7/22 is 0.3181818..., which means that the answer is 0.3181818...

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Answer:

The answer is

Step-by-step explanation:

Volume of a sphere is given by

where r is the radius

From the question

r = 3 inches

Substitute the value into the above formula and solve for the volume

That's

We have the final answer as

Hope this helps you

Answer:

96

Step-by-step explanation:

10 x 8 = 80

2 x 8 = 16

so 80 + 16 = 96 :)

The equivalent value of the equation is A = 96

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 12

Let the second number be q = 8

Now , A = pq

On simplifying the equation , we get

A = 12 x 8

So , the left hand side of the equation is equated to the right hand side by the value of 12 x 8

On multiplying 12 times 8 , we get

A = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

A = 96

Therefore , the value of A = 96

Hence , the expression is A = 96

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Answer:

she bought 3.4 pounds

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Note:

x = -2 ; y = 5

Plug in -2 for x and 5 for y.

3(-2) + 4(5) - 2

Remember to follow PEMDAS. First solve for multiplication, then combine:

3 * -2 = -6

4 * 5 = 20

-6 + 20 - 2

Combine like terms:

20 - 6 - 2 = 12

12 is your value.

~

Answer:

12

Step-by-step explanation:

When answering these types of problems make sure you simplify the expression before substituting

In this case it is not necessasry so substitute x for -2 and y for -5. The expression is now ...

3(-2) + 4(5) - 2

Now just add like term

-6 + 20 -2

12

Answer:

Step-by-step explanation:

ken has 64 dollars

Answer:

160

Step-by-step explanation:

4 times 10 is 40

8 times 15 is 120

add 40 plus 120 and get 160

Step-by-step explanation:

4×10+8×15

=40+120

=$160

Answer:

R = 11

C ≈ 69.12

A ≈ 380.13

Step-by-step explanation:

R = d ÷ 2

C = 2πr

A = 2πr²

Answer:

Step-by-step explanation:

When drawing a triangle, note that the vectors can be drawn either in a clockwise or anticlockwise direction. For a triangle with vertices A, B and C, te vectors are AB, BC and CA

In vector notation CA = - AC (length CA is equal to AC but acting in opposite direction to AC)

and AB+BC = AC

To evaluate AB + BC + CA, we will substitute the vector expression above into the given expression and simplify as shown;

= (AB + BC) + CA

= AC + (-AC)

open the parenthesis

= AC-AC

= 0

Hence the sum of the vector expression AB + BC + CA is a zero vector

Answer: 8/3

Step-by-step explanation:

Answer:

Yes it is rational

Step-by-step explanation:

The square root of 900 is a rational number if 900 is a perfect square. It is an irrational number if it is not a perfect square. Since 900 is a perfect square, it is rational number.

Answer:

3

Step-by-step explanation:

Answer:

012

3

4

5

61

8

9

10 11 12

13 14

OA. 3

OB. 4

C. 5

D. 7

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Answer:

Step-by-step explanation:

hello,

[tex]g(x)=\dfrac{1}{x-1}\\\\x=g(g^{-1}(x))=\dfrac{1}{g^{-1}(x)-1} \\ \\g^{-1}(x)-1=\dfrac{1}{x}\\ \\g^{-1}(x)=\dfrac{1}{x}+1=\dfrac{1+x}{x}[/tex]

And this is a function defined for x different from 0.

Thanks

Answer:

23040 minutes.

Step-by-step explanation:

Its 23040 minutes long because there are 60 minutes in an hour, an 24 hours in a day and 60 times 24 is 1440. Then you multiply 1440 by 16 which equals 23040.

Explanation:

Six trigonometric functions are ratio of sides with their angle in right angled triangle.

Six trigonometric functions are:

Sinθ = Perpendicular / Hypotenuse

Cosθ = Base / Hypotenuse

Tanθ = Perpendicular / Base

Cotθ = Base / Perpendicular

Secθ = Hypotenuse / Base

Cosecθ = Hypotenuse / Perpendicular

Answer:

X=7-y over 2

Step-by-step explanation:

Subtract yy from both sides.

2x=7-y2x=7−y

2 Divide both sides by 22.

x=\frac{7-y}{2}x=

​2

​

​7−y

​​  

The equation solved for y is  y=7-2x.

The given equation is 2x+y=7.

We need to solve the given equation for y.

Solving equations is computing the value of the unknown variable still balancing the equation on both sides. An equation is a condition on a variable such that two expressions in the variable have equal value. The value of the variable for which the equation is satisfied is said to be the solution of the equation. An equation remains the same if the LHS and the RHS are interchanged.

Now, solving the equation for y, we get y=7-2x.

Put x=1, 2, 3, 4,....in the equation and find the y value.

So, put x=1 in equation  y=7-2(1)=5.

Put x=2, we get

y=7-2(2)=3

Verification: Put the ordered pair (1, 5) in the equation and verify.

That is, 5=7-2(1)

⇒5=5

Therefore, the equation solved for y is  y=7-2x.

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Answer:

13

Step-by-step explanation:

We have to use the BODMAS ( Bracket Of Division Multiplication Addition Subtraction) rule here

So first divide

36 ÷ 6 * 2 + 1

6 * 2 + 1

Now multiply

6 * 2 + 1

12 + 1

Now add

12 + 1 = 13

Answer:

13

Step-by-step explanation:

Answer:

9) 47.1°

10) 23.0°

11) 33.0°

12) 22.0°

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:6

Step-by-step explanation:

5+4+× = 15

9+x=15

15-9=x

X=6

Answer:

1+ 6v + 4 = 47

collect like terms

5 + 6v = 47

Subtract the 5 from both sides

6v = 42

divide 6 from both sides

v = 7

Answer:

32.176 %

Step-by-step explanation:

(100% / 54.7) x 17.6 = about 32.176 percent

Do the equation yourself for a more precise answer!

Answer:

48

Step-by-step explanation:

volume=width×length×hight

2×4×6

48

Answer:

4.417 - 2.96 = 1.457

3.8-3.63=0.17

Sample C weighs 1.457 more pounds than Sample A.

Sample B weights 0.17 more pounds than Sample D.