Find the area of the triangle

Find The Area Of The Triangle

Answers

Answer 1
Solution:We know, area of a triangle = 1/2 × base × height.Here, base = (9-3) units = 6 units.Height = (5-1) units = 4 units.Therefore, area of the triangle

= (1/2 × 6 × 4) square units

= (3 × 4) square units

= 12 square units

Answer:

The area of the triangle is 12 square units.

Hope it helps.

Do comment if you have any query.

Answer 2
Answer:

=================================================

Explanation/Solution:

First, Identify what is the height and base of the triangle.

[tex] \rightarrow [/tex] Height = 4 units

[tex] \rightarrow [/tex] Base = 6 units

[tex] \\ [/tex]

Now to find the area of the triangle, use the formula:

[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]

Solve.

[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]

[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]

[tex] \rightarrow [/tex] = 12

Therefore, the area of the triangle is 12 units.

=================================================

#CarryOnLearning


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Liquid volumeis the amount of liquid in a container.

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Answer:

Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.

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·

 

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Let the smallest of those numbers be [math]n[/math], then the other numbers w

Step-by-step explanation:

On the previous screen, you said the daily recommended amount of vitamin C is `80` milligrams. Yosef drank `4` ounces of orange juice. What percent of the daily recommended amount of vitamin C is this?A `16`-ounce bottle of orange juice contains `200` milligrams of vitamin C, which is `250\%` of the daily recommended amount (for adults).

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Answer: 62.5%

Step-by-step explanation:

We can just divide 250% by 4 since Yosef drank 1/4th of the bottle.

250 / 4 = 62.5

Answer:

62.5

Step-by-step explanation:

6.
Write the equation of the parabola in vertex form.



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Answers

Answer:  The answer is NOT Letter B

C. y = 1/4x^2

Step-by-step explanation:  I used math.way

A.    y = x^2  = Rewrite in vertex form and use this form to find the vertex ( h , k ) .  ( 0 , 0 )    =Find the vertex form.  y = x 2

B.    y = 1/4x^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 1 )    =Find the vertex form.   y = 1 /4 ⋅ ( x + 0 ) 2 + 1

C.    y = 1/4x^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , 0 )  =Find the vertex form.   y = 1 /4 x 2

D.    y = 1/4( x - 2)^2 + 1  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 1 )    = Already in vertex form.   y = 1 /4 ( x − 2 ) 2 + 1

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Step-by-step explanation:

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A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Answers

Answer:

75 percent

Step-by-step explanation:

see the thing is

The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Number of ways to choose 5 sedimentary from 7  sedimentary is,

[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]

There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,

[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]


Thus, the probability that exactly 5 are sedimentary is,

[tex]P=\dfrac{21}{33649}[/tex]

Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Read the problem and write your equation while following along with it

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Answers

The function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

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Given that, h(x)=g(x+5.

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