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denpristay [2]
1 year ago
15

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

Mathematics
1 answer:
Archy [21]1 year ago
8 0

<u>The correct answer is  </u><u>8.5 in.</u>

<h3 /><h3>What is Heron's formula in math?</h3>
  • Heron's formula, formula credited to Heron of Alexandria for finding the area of a triangle in terms of the lengths of its sides.
  • In symbols, if a, b, and c are the lengths of the sides: Area = Square root of√s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

we know that

The formula of area of triangle is equal to

             A = \frac{1}{2} (b) (h)

We have

b = BC = 6 in

h = AD = x in

substitute

A = \frac{1}{2} (6) (x)

A = 3x^{2}   in^{2} ..................(1)

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

Let  a,b,c be the lengths of the sides of a triangle.  

The area is given by:-

A = \sqrt{p(p-a) (p-b) (p-c)}                     where p is half the perimeter

p = \frac{a +b+ c}{2}

a = 9 in , b= 9 in, c = 6 in

p = \frac{9 + 9 + 6}{2} = 12 in

Find the area

A = \sqrt{12( 12 - 9) (12-9) (12 - 6)}

A = \sqrt{12 (3)(3)(6)}

A = \sqrt{648}

A = 25.46 in^{2}

Substitute the value of the area in the equation 1 and solve for x

A = 3x in^{2}

25.46 = 3x

x = 25.46/3

x = 8.5 in

Learn more about Heron's Formula

brainly.com/question/22391198

#SPJ4

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What is true for: y = 13(x - 4)2 - 4
notka56 [123]

Answer:

y=78

Step-by-step explanation:

y=13(x-4) 2-4

y=(13-52) -2

y=(-24+104)

y=78

7 0
3 years ago
Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​​$1.08
WINSTONCH [101]

Answer:

a)

if 1 quarter = $ 0.25

  1 dime = $ 0.10

  1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

b)

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

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6 0
3 years ago
Logan is making bookmarks that contain flower petals. He has 95 petals. He uses 3 flower petals for each bookmark. What is the G
Tcecarenko [31]

Answer: The GREATEST number of bookmarks that Logan can make = 31.

Step-by-step explanation:

GIven: Total petals = 95

Number of petals required for each bookmark = 3

Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)

= 95÷3

=31\dfrac{2}{3}\ \ \ \approx31\text{    [Round to the nearest whole number.]}

i.e. The GREATEST number of bookmarks that Logan can make = 31.

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2 years ago
In an experiment involving single-cell RNA sequencing (scRNA-seq), researchers looked at the expression levels of a particular g
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The population difference within the pair is normal.

The population distribution of mice with and without diabetes are identical.

mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.

Conclusion,

the two population has same shape , the two samples are independent  simple random samples  and the two samples are paired , the population means are the same .

Hence, each of the two population distribution is normal.

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8 0
10 months ago
Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of
kari74 [83]

Answer:

<h2>Amanda needs 72 grams of paint</h2>

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

24 \times \frac{24}{8}= 72 \ grams

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

7 0
2 years ago
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