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Fudgin [204]
3 years ago
10

Find the height of a triangle with an area of 42 square inches and base of 7 inches. Use the formula for the area of a triangle

a=1/2bh
Mathematics
2 answers:
disa [49]3 years ago
7 0
A= 1/2bh

fill in formula with known numbers

42= 1/2(7)h
multiply numerators on right side

42= (1*7)/2h

42= 7/2h
divide both sides by 7/2

42 ÷ 7/2= h
to divide fractions, multiply by reciprocal/inverse of 7/2

42 * 2/7= h
multiply numerators

(42 * 2)/7= h

84/7= h

12 inches= h


ANSWER: The height is 12 inches.

Hope this helps! :)
Minchanka [31]3 years ago
4 0

h=12 in

A=1/2bxh

42=3,5xh

Divide boh sides by 3.5

12=h

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The lunch special at Scott's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 1 drink, and 2 desserts to
mash [69]

Answer:

24 for being able to not have one, 6 for having one of each

Step-by-step explanation:

multiplication

with the option of none

4*2*3=24

without the option of none

3*1*2=6

4 0
2 years ago
PLS HELPPPP MEEEE I NEED WORK SHOWN TOO
Elanso [62]

The series of operations for each case are listed below:

  1. GCF / GCF / GCF
  2. GCF / Grouping
  3. Quadratic trinomial
  4. GCF / Quadratic trinomial
  5. Difference of squares
  6. Difference of cubes / Quadratic trinomial
  7. Sum of cubes
  8. GCF / Quadratic trinomial
  9. GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: brainly.com/question/17822016

#SPJ1

7 0
1 year ago
Find the value of x.
Leona [35]

This is an isosceles triangle. Therefore, at the base we have congruent angles (look at the picture).

We have the equation:

(5x + 13)° + (3x + 7)° = 180°

5x + 13 + 3x + 7 = 180    <em>combine like terms</em>

(5x + 3x) + (13 + 7) = 180

8x + 20 = 180     <em>subtract 20 from both sides</em>

8x = 160      <em>divide both sides by 8</em>

<h3>x = 20</h3>

3 0
3 years ago
Ursula tosses two six-sided number cubes and MULTIPLIES the numbers rolled. Which of these is a list of the outcomes of the two
Black_prince [1.1K]

Answer:

3,4,5,6,7,8

Step-by-step explanation:

sum of 2 with other possible numbers:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6

3, 4, 5, 6, 7, 8

5 0
3 years ago
Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.
Veronika [31]
3 times 100 divided by 15 gives us 20%
6 0
3 years ago
Read 2 more answers
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