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3 years ago

What is the area of the octagon? rectangular shaped

Mathematics

1 answer:

V125BC [204]3 years ago

5 0

Answer:

A=2(1+2)a2=2·(1+2)·22≈19.31371

Step-by-step explanation:

hope this helps!

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A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?

olga nikolaevna [1]

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

a = 8 millimetres

b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

6 0

3 years ago

Write an equation for a line that passes through (-4,8) and 8,-1

KatRina [158]

Slope is change in y over change in x.

Change in y is -9
Change in x is +12

So -9/12 or -2/3

Answer -2/3

5 0

3 years ago

If Sunil earns $3672 per month, what is his annual salary?

snow_tiger [21]

Answer:

$44064

Step-by-step explanation:

Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.

3672 * 12 = $44064

7 0

3 years ago

A square field has an area of 144 metres squared. If Andrea walked 10 times around this field, what distance did she cover?

Novosadov [1.4K]

Answer:

480m

Step-by-step explanation:

First we have to find the perimeter of the field.

We know that the area is 144m and that the field is a square.

Since a squares sides are all equal, we can do $\sqrt{144}$ , which is 12m.

So, one side of the field is 12m; now we just find the perimeter which is easy since its a square. 12*4=48m

If Andrea walked around it 10 times, then we just multiply the perimeter by 10

48*10=480m

7 0

3 years ago

If a nonlinear system of equations contains one linear function that never touches the quadratic function, then the system has w

aivan3 [116]

A nonlinear system of equation is a system of equation that has at list one nonlinear equation

A nonlinear system of equations that has one linear function that never intersects the quadratic function has; No solution

The reason the option selected for the number of solutions is correct is as follows;

Required:

The number of solutions a system of nonlinear equations that do not intersect have

Solution:

The given system of equation is presented as follows;

Linear function: f(x) = m·x + c

Quadratic function: f(x) = a·x² + b·x + c

Given that the linear function never touches the quadratic function, we have;

a·x² + b·x + c ≠ m·x + c

Therefore, the equations are never equal hand they have no common solution

Therefore, the correct option is No solution

Learn more about nonlinear system of equations here:

brainly.com/question/11650202

brainly.com/question/10571443

8 0

3 years ago