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vitfil [10]
2 years ago
9

Help me solve this (pls show working)

Mathematics
1 answer:
maksim [4K]2 years ago
6 0

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

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Simplify the expression -3 (b-7)
Nataliya [291]
Simply distribute the -3 across the b and -7.

-3(b - 7) = (-3 * b) + (-3 * -7) = -3b + 21

Hope this was helpful, if it wasn't just drop me a DM explaining what didn't make sense.
5 0
3 years ago
How do I fill this out? Im not sure how to?
prohojiy [21]

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0

We add all the numbers together, and all the variables

-((z+6)/5)+6/2=0

We add all the numbers together, and all the variables

-((z+6)/5)+3=0

We multiply all the terms by the denominator

-((z+6)+3*5)=0

We calculate terms in parentheses: -((z+6)+3*5), so:

(z+6)+3*5

We add all the numbers together, and all the variables

(z+6)+15

We get rid of parentheses

z+6+15

We add all the numbers together, and all the variables

z+21

Back to the equation:

-(z+21)

We get rid of parentheses

-z-21=0

We add all the numbers together, and all the variables

-1z-21=0

We move all terms containing z to the left, all other terms to the right

-z=21

z=21/-1

z=-21

5 0
3 years ago
Please help asap!!!!
Maurinko [17]

I think the answer is 3w over z to the power of 5

8 0
3 years ago
Please help me !! (no this isnt a test/exam)
stiv31 [10]

Answer:

  infinitely many

Step-by-step explanation:

Add 12-y to both sides of the second equation to put it into standard form like the first equation:

  y +(12 -y) = (x -12) +(12 -y)

  12 = x - y . . . simplify

  x - y = 12 . . . . second equation in standard form

We see this is identical to the first equation. That means every solution of the first equation is also a solution of the second equation. There are infinitely many solutions.

8 0
2 years ago
Christina's family is building a house. On the blueprint, Christina's rectangular room measures 10cm by 12cm. The map has a scal
musickatia [10]

Answer:

270 ft square

Step-by-step explanation:

10cm * 1.5ft = 15 ft

12cm * 1.5ft = 18ft

18ft * 15ft = 270ft square

8 0
3 years ago
Read 2 more answers
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