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jenyasd209 [6]
4 years ago
14

A right triangle ABC is shown below: A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. T

he area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)
Mathematics
2 answers:
Archy [21]4 years ago
4 0

Answer:

w=3

Step-by-step explanation:

The area of the triangle is given by

A = 1/2 bh

the base is 5 and the height is 3

A = 1/2 (3) * 5 = 15/2  units ^2

The area of a rectangle is

A = l*w

A = 5w

The area of the triangle = 1/2 the area of the rectangle

15/2 = 1/2 *5w

15/2 = 5/2 w

Multiply each side by 2/5 to isolate w

2/5 * 15/2 = 2/5 *5/2 w

3 =w

mafiozo [28]4 years ago
4 0

Answer:

I think the answer is 3.

Step-by-step explanation:

I just guessed.

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Pls help<br><br> 2 Question
maw [93]

Answer:

1.320  ,

2.322

Step-by-step explanation:

1. Given that,

a+1/a=18

now,

(a- 1/a)² =( a+1/a)² - 4a. 1/a         [(a- b)² =( a+b)² - 4a. b  ]

           =18² - 4 . 1                      [as, a . 1/a =1 ]    

            =324 - 4

            =320

2.Given that,

a - 1/a=4

now,

a⁴+(1/a)⁴

=(a²)² + (1/a²)²                             [a⁴=(a²)² & (1/a)⁴=(1/a²)²]  

=(a²+1/a²) ²- 2 a². (1/a²)                [a²+b²=(a+b)²-2ab]

=[(a - 1/a)² +2.a. 1/a]² - 2               [a²+b²=(a-b)²+2ab]

=[4²+2]² -2

=[16+2]²-2

=18²-2

=324-2

=322

5 0
3 years ago
Write the linear equation in slope intercept form 1,3 and -3,-5
oksian1 [2.3K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes:

(x_ {1}, y_ {1}) :( 1,3)\\(x_ {2}, y_ {2}): (- 3, -5)

We found the slope:

m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Substituting we have:

m = \frac {-5-3} {- 3-1} = \frac {-8} {- 4} = 2

Thus, the equation is of the form:

y = 2x + b

We substitute one of the points and find the cut-off point:

3 = 2 (1) + b\\3 = 2 + b\\3-2 = b\\b = 1

Finally, the equation is:

y = 2x + 1

ANswer:

y = 2x + 1

3 0
4 years ago
What is the area of a triangle whose sides are 10 meters, 14 meters, and 20 meters long? A.65 m2 b.100 m2 c. 70 m2 d.50 m2
denpristay [2]

Answer: Option A. 65 m^2

Solution:

Sides: a=10 m, b=14 m, c=20 m

Area: A=?

A=sqrt [p(p-a)(p-b)(p-c) ]

Semi-perimeter: p=(a+b+c)/2

p=(10 m+14 m+20 m)/2

p=(44 m)/2

p=22 m

A=sqrt [ (22 m)(22 m-10 m)(22 m-14 m)(22 m-20 m)]

A=sqrt [ (22 m)(12 m)(8 m)(2 m) ]

A=sqrt [ 4,224 m^4 ]

A=64.99230723 m^2

A=65 m^2

7 0
3 years ago
Read 2 more answers
The formula for the circumference of a circle is c=rd, where d is the length of the diameter. If d is a rational number, what ca
dimaraw [331]

Answer: The answer is (d) It is an irrational number.

 

Step-by-step explanation:  Given formula for circumference of a circle is

\textup{c}=\textup{r d},

where 'd' is the length of the diameter and a rational number.

We are to choose one of the given four options for the circumference 'c' of the circle.

We know that the circumference of a circle with diameter 'd' is given by

\textup{c}=\pi \textup{d},

Comparing this with the given equation, we get

r=\pi,~\textup{where}~\pi~\textup{is an irrational number}=\dfrac{22}{7}.

Now, the product of a rational and an irrational number is again irrational, so 'r × d' will be an irrational number.

Hence, the circumference, c = rd is irrational.

Thus, the correct option is (d) It is an irrational number.

4 0
3 years ago
Read 2 more answers
What is the range of f(x)?
adoni [48]

Answer:

best ans is { f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely <u><</u>  4. so the ans is { f(x)| –∞ < f(x) ≤ 4}


6 0
4 years ago
Read 2 more answers
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