What is the height of a triangle that has a base of 8 in. and an area of [tex]28in^{2}[/tex]

Answer:

[tex] \large \boxed{v > - 1}[/tex]

Step-by-step explanation:

Given the Inequality:

[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]

Step 1

[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]

Step 2

[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]

Step 3

[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]

Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!

Answer:

-17x2 - 14x + 10

 ————————————————

        2        

Step-by-step explanation:

STEP

1

:

           25

Simplify   ——

           2

Equation at the end of step

1

:

             25

 (((4•(x2))-(——•x2))-7x)+5

             2

STEP

2

:

Equation at the end of step 2

                 25x2            

 (((4 • (x2)) -  ————) -  7x) +  5

                  2              

STEP

3

:

Equation at the end of step

3

:

           25x2            

 ((22x2 -  ————) -  7x) +  5

            2              

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

            22x2     22x2 • 2

    22x2 =  ————  =  ————————

             1          2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       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:

22x2 • 2 - (25x2)      -17x2

—————————————————  =  —————

        2               2  

Equation at the end of step

4

:

  -17x2          

 (————— -  7x) +  5

    2            

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         7x     7x • 2

   7x =  ——  =  ——————

         1        2  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

-17x2 - (7x • 2)     -17x2 - 14x

————————————————  =  ———————————

       2                  2    

Equation at the end of step

5

:

 (-17x2 - 14x)    

 ————————————— +  5

       2          

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        5     5 • 2

   5 =  —  =  —————

        1       2  

STEP

7

:

Pulling out like terms :

7.1     Pull out like factors :

  -17x2 - 14x  =   -x • (17x + 14)

Adding fractions that have a common denominator :

7.2       Adding up the two equivalent fractions

-x • (17x+14) + 5 • 2     -17x2 - 14x + 10

—————————————————————  =  ————————————————

          2                      2        

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  -17x2 - 14x + 10  =   -1 • (17x2 + 14x - 10)

Trying to factor by splitting the middle term

8.2     Factoring  17x2 + 14x - 10

The first term is,  17x2  its coefficient is  17 .

The middle term is,  +14x  its coefficient is  14 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   17 • -10 = -170

Step-2 : Find two factors of  -170  whose sum equals the coefficient of the middle term, which is   14 .

     -170    +    1    =    -169

     -85    +    2    =    -83

     -34    +    5    =    -29

     -17    +    10    =    -7

     -10    +    17    =    7

     -5    +    34    =    29

     -2    +    85    =    83

     -1    +    170    =    169

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -17x2 - 14x + 10

 ————————————————

        2        

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

Answer:

7.5 %

Step-by-step explanation:

31.50/420 = 0.075 = 7.5 %

Answer:

7.5% commission

Step-by-step explanation:

420 x r = 31.50

420r = 31.50

r = 31.50/420

r = 0.075

multiply by 100 to get the percentage, = 7.5%

The correct answer is b) Sometimes.

Given that a statement,

"The sum of two numbers is __________ greater than either number."

We need to fill the blank from the options provided.

The sum of two numbers can be greater than either number depending on the specific values of the numbers.

Let's consider some examples:

Example 1: If we have two positive numbers, such as 3 and 4, their sum (3 + 4 = 7) is greater than either number individually.

Example 2: If we have one positive number and one negative number, such as 5 and -8, their sum (5 + (-8) = -3) is greater than -8 but less than 5.

Example 3: However, if we have two negative numbers, such as -2 and -4, their sum (-2 + (-4) = -6) is not greater than either number individually.

Therefore, since the statement holds true in some cases but not in others, the correct answer is sometimes (b).

Learn more about Sum click;

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Answer:

Sqrt 245

Step-by-step explanation:

That's the answer

According to Pythagoras' Theorem

[tex]h^{2} = a^2 + b^2[/tex]

[tex]h^{2}[/tex]  [tex]= 7^{2} + 14^2[/tex]

[tex]h^{2}[/tex] = 49 + 196

h = [tex]\sqrt{245}[/tex]

According to diagram x = sqrt 245

Pythagorean hypothesis, the notable mathematical hypothesis that the amount of the squares on the legs of a right triangle is equivalent to the square on the hypotenuse (the side inverse the right point) — or, in recognizable logarithmic documentation, a2 + b2 = c2.

Learn more about Pythagoras' Theorem here

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Answer:

12

Step-by-step explanation:

by Pythagoras theorem,

P²+B² =H²

5²+B²=13²

B²= 13²-5²

B²= 169-25

B²= 144

B=√144

B= 12

Answer:

x=−4 or x=5 This is the awnser to x^2-20=0

Answer:

solution e. (0,0)______b. (-2,-10)_______c. (5, -12)__________of

2x + 5y < 10

Step-by-step explanation:

Given

(2+3) (4-1)

= 5 * 3

= 15

Hope it will help :)

Answer:

15

Step-by-step explanation:

(2+3) (4-1)

(5) (3)

15

Answer:

3

Step-by-step explanation:

Answer:

15/5, or 3

Step-by-step explanation:

8/5 + 7/5

= 8+7/5

= 15/5

= 3

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Look at the denominator. Diego did not multiply 4 times 3. He simply carried 4 into the product.

Answer:

y≥1

Step-by-step explanation:

y+8 ≥ 9

-8     -8

______

y≥1  

i hope it makes sense(i tried to make it look like how you would do it on paper)

Answer:

[tex]1\frac{5}{6}[/tex]

Step-by-step explanation:

6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]

Answer:

If these are fractions the answer is 1 5/6

If they are not fractions the answer is 1.83

Answer:

The black lives matter movement was a reason to tell the people that we are still all the same even though we don't have the same colored skin or aren't the same gender or we dont believe in the same beliefs.

Where as the civil rights movement was to clarify that blacks and whites males and females have the same rights.

Answer:

11

Step-by-step explanation:

cuz i know lol

Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

Answer:

im not sure but

Step-by-step explanation:

Answer:

The answer is

[tex]y = - 4.4x + 6.8[/tex]

Answer:

Step-by-step explanation:

$335-$50 = $285

p = $285/(6 payments) = $47.50/payment

Answer:

it would be (-7,-6)

x=-7, y=-6

Step-by-step explanation:

Answer:

The answer is

[tex] < a = < e = < h = < c = < g = 66 \\ < b = < f = 114[/tex]

Step-by-step explanation:

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

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Answer:

.4

Step-by-step explanation:

2.80/7=.4

7 x 0.4 = 2.8

Answer:

2.25x2+2x1.00+1.50=8, 10-8 =$2.00

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

Answer:

B.  44 in.

Step-by-step explanation:

Let Jennifer's height be x  inches, then:

1.5x - 3 = 63

1.5x = 66

x = 66/1.5

= 44 in.

Answer:

Multiply 350 by 1.68.

f(x)=588x

decay

Answer:

Volume of cube = side*side*side = 5*5*5 = 125 cubic cm.

hope it helps you