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2 years ago

The triangle shown below has an area of 10 units^2 squared. Find x.

Mathematics

1 answer:

Nonamiya [84]2 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

A = hb/2

10 = 4(x)/2

10 = 2x

x = 5

im not sure if this is right but get back to me if it isn't

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The difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers

Usimov [2.4K]

Answer:

x= -13

y= -28

Step-by-step explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x-y=15

5x=2y-9

Use substitution to substitute one equation into another. Then solve for the variable.

x=15+y into 5x=2y-9

becomes

5(15+y) = 2y-9

75+5y = 2y- 9

75+3y= -9

3y = -84

y= -28

To find x, substitute y= -28 into one equation.

x - (-28) = 15

x+28 =15

x = 15-28

x=-13

6 0

2 years ago

Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61

Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: $\sum\limits^7_{n=1} {9n - 2}$

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

First term, a = 7
Common difference, d = 9
Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7 - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

$\sum\limits^7_{n=1} {9n - 2}$

Read more about arithmetic series at:

brainly.com/question/6561461

3 0

1 year ago

Identify the percent of change as an increase or a decrease. 4/5 to 3/5

vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0

3 years ago

A flagpole is 10m high. It is held in position by four ropes that are each fixed to the ground, 4m away from the foot of the fla

drek231 [11]

Answer:

10.77m

Step-by-step explanation:

8 0

2 years ago

A. B. C. D.???????????????????????

Law Incorporation [45]

Answer:

Table A and Graph A

Step-by-step explanation:

See the attached tables and graphs.

Table A gives the ordered pairs (1,2), (2,4) and (3,6).

Take the first two pairs of points.

The equation of the straight line passing through those points will be

$\frac{y - 4}{4 - 2} = \frac{x - 2}{2 - 1}$

⇒ y = 2x

Therefore, the table A represents the equation y= 2x.

Now, as shown in graph A, the points (0,0) and (1,2) and (2,4) through which this equation of straight line passes.

Therefore, the equation y = 2x is represented by graph A.

Hence, Table A and Graph A are the answers.

4 0

2 years ago