The length of the longer leg of a right triangle is 3 m more than three times the length of the shorter leg. The length of the hypotenuse is 4 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: ​

Answer:

Area of triangle = 1/2 of base × height

Area of triangle = 1/12 of 12×17

Area of triangle = 102m²

The value of x in the function r(x) = x - 3/x-4 is equal is 3.

To solve this problem, all that is required from us is simply substitute the values and solve for the value of x.

Data;

A function from a set A to a set B assigns to each element of A exactly one element of B. The set A is usually the domain of the function while the set B is the codomain of the function.

Given that the function R(x) is

[tex]R(x) = \frac{x-3}{x-4}[/tex]

And also, R(x) is equal to 0.

[tex]R(x) = \frac{x-3}{x-4}\\ 0= \frac{x-3}{x-4} \\0(x-4) = x - 3\\0 = x- 3\\x = 3[/tex]

The value of x in the function is 3.

Learn more on functions here;

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Answer:

step by step explanation

please see photo

Answer:

1/4

Step-by-step explanation:

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

Assuming the number cube has faces number 1 through 6, the probability of rolling any of the number is 1/6.

Therefore,

P(odd number) = P(1) or P(3) or P(5)

                         = 1/6 + 1/6 + 1/6

                         = 3/6

                         = 1/2

Similarly,

P(even number) = P(2) or P(4) or P(6)

                           = 1/6 + 1/6 + 1/6

                           = 3/6

                           = 1/2

⇒ P(odd) AND P(even) = 1/2 × 1/2 = 1/4

Answer:

PM is radius

NL is diameter

LM is chord

LJ is secant

NJ is tangent

N is point of tangency

P is center

[tex]( (\frac{3}{5}) {}^{0} ) {}^{ - 2} = (1) {}^{ - 2} = \frac{1}{1 {}^{2} } = \frac{1}{1} = 1[/tex]

Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Area of Triangle is 48 cm² . It's Height is given as 6 cm . And, we have been asked to calculate the Base of Triangle .

For calculating the Base of Triangle , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Triangle} \: = \: \frac{1}{2} \: \times \: B \: \times \: H \: }} [/tex]

Where ,

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Area \: _{Triangle} \: = \: \dfrac{1}{2} \: \times \: Base \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf {48 \: = \: \dfrac {1}{2} \: \times \: Base \: \times \: 6 } [/tex]

[tex] \longmapsto \: \: \: \sf {48 \: \times \: 2 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \: \sf {96 \: = \: 1 \: \times \: Base \: \times \: 6} [/tex]

[tex] \longmapsto \: \: \: \sf {96 \: = \: 6 \: \times \: Base } [/tex]

[tex] \longmapsto \: \: \: \sf {Base \: = \: \dfrac {96}{6} } [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Base \: = \: 16 \: cm}} [/tex]

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

A triangle has an area of 48 square centimetres. The height of the triangle is 6 centimetres. What is the base of the triangle ?

[tex] \blue{\boxed{Area \: of \: triangle = \frac{1}{2} \times b \times h}}[/tex]

Where ,

In this question the concept belongs to the areas of two dimensional shapes i.e. how we can find length , breadth or height with the help of given area .

[tex] \longmapsto \: 48 = \frac{1}{2} \times b \times 6[/tex]

Now , transposing 2 to left hand side :

[tex] \longmapsto \: 48 \times 2 = 1 \times b \times 6[/tex]

Now , multiplying 48 with 2 and multiplying b with 1 and 6 :

[tex] \longmapsto \: 96 = 6b[/tex]

Now , transposing 6 to left hand side :

[tex] \longmapsto \: \cancel\frac{96}{6} = b[/tex]

Now , by cancelling them we get :

[tex] \longmapsto \: \red{ \boxed{ \sf{b = 16 \: cm}}}[/tex]

We know that area of triangle is equal to 48 cm². So :

[tex] \rightarrow \: \frac{1}{ \cancel2} \times \cancel{16} \times 6 = 48[/tex]

Now , by cancelling 16 with 2 we get :

[tex] \rightarrow \: 8 \times 6 = 48[/tex]

So , by multiplying we get :

[tex] \rightarrow \: 48 = 48[/tex]

That means :

[tex] \rightarrow \: L.H.S = R.H.S[/tex]

Answer:

not sure about the equation or answer

Answer:

The height of the tower should be 120 m

Step-by-step explanation:

Using the median concept, it is found that it suffered a 11.16% decrease.

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

More can be learned about the median concept at https://brainly.com/question/25215461

Answer:

33.15

Step-by-step explanation:

65% is 0.65

102/2=51

0.65*51=33.15 which is the answer

The linea function on the table has a constant slope

The linear and the exponential functions have the same value for x as -2.87 and 1.81

From the complete question (see attachment for graph), we have the table to be:

x      f(x)    g(x)

-3     -3/2    8

-2      6        4

-1      9/2     2

0      3         1

1      -9/2     1/2

2      -6        1/4

3     3/2      1/8

By analyzing the graphs of two functions, the linear and the exponential functions have the same value for x as -2.87 and 1.81

Read more about functions at:

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4747+38383=43,130

Answer:

4747

+38383

=43130 that is my answer

Answer: 12

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

We can find the value of x using Euclidian theorem:

6^2 = 3*x

36 = 3x divide both sides by 3

12 = x

Answer:

Length: 20 feet
Width: 8 feet

Step-by-step explanation:

20 is 12 feet longer than 8

20 x 8 = 160

Answer:

y = -1x + 7

Step-by-step explanation:

Slope intercept formula: y = mx + b

m = slope

b = y-intercept

Given:

slope = -1

y-intercept = 7

Substitute the given values into the slope-intercept formula: y = mx + b

y = -1x + 7

hope this helps!! p.s. i really need brainliest :)

Answer:

x=  3.5

Step-by-step explanation:

2.4 x= 8.4

x= 8.4 /2.4

x=  3.5

Answer:

X= -3.5

Step-by-step explanation:

You are trying to find what x is, and x is being multiplied with -2.4. The easiest way to find the answer is to divide 8.4 by -2.4. This way, you will get your answer of -3.5. Because two negatives make a positive when you multiply, 8.4 is not negative.

How I solved this.

-2.4x = 8.4

8.4=total

-2.4= Needs to be multiplied with x

x=?

8.4/-2.4=-3.5

Check your work:

-2.4(-3.5)=8.4

Final answer:

x= -3.5

I hope this helps!

-No one

Answer:

It's equals 3

Step-by-step explanation:

1 + 1 x 2=3

Answer:

3

Step-by-step explanation:

PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)

Add and subtract (left to right) (1 + 2 = 3)

Answer:

-35rs^4

Step-by-step explanation:

hello :

(−1rs²)(35s²)= (-1)(35)(s^4)r = -35rs^4

Answer:

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Step-by-step explanation:

Answer: 6/8 inch

Step-by-step explanation:

Answer:

70% of £68 gives £47.6 for each trainer

Answer:

100-70/100 *£68

Step-by-step explanation:

£40.8

therefore, each pair of trainers cost£40.8

Answer:

95 degrees

Step-by-step explanation:

The sum of the measures of a quadrilateral is 360 degrees.  360-105-80-80 = 95 degrees

Answer: the value of x = 5

Answer:

T. Perimeter

Step-by-step explanation:

Answer:

the answer is D...... ..........

Answer:

226,080 cm3

Step-by-step explanation: