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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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A garden table and a bench cost $781 combined. The garden table costs $69 less than the bench. What is the cost of the bench?
Arlecino [84]

Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

2x -69 +69 = 781 + 69

2x = 850

2x/2 = 850/2

x = 425

Bench = 425

6 0
3 years ago
Read 2 more answers
What are the first five terms of the sequence given by the formula an = 4n + 1?
denis-greek [22]

Answer:

<em>5,9,13,17,21</em>

Step-by-step explanation:

We can the values in "n"

a(1)=4(1)+1

a(1)=5

a(2)=4(2)+1

a(2)=9

a(3)=4(3)+1

a(3)=13

a(4)=4(4)+1

a(4)=17

a(5)=4(5)+1

a(5)=21

As you can see, each value consecutively increases by 4, this is also known as the common difference (d).

5 0
3 years ago
Write the converse of this statement.if two angles are both obtuse, the two angles are equal.
Aliun [14]

To form the <u>converse</u> of the <u>conditional statement</u>, interchange the <u>hypothesis</u> and the <u>conclusion</u>.

Given conditional statement: "if two angles are both obtuse, the two angles are equal".

Here,

  • hypotesis is:  two angles are both obtuse,
  • conclusion is:  two angles are equal.

Then the converse statement will be: "If two angles are equal, then two angles are both obtuse".

8 0
3 years ago
Read 2 more answers
I need help with this math problem
mr Goodwill [35]

Let X = number of minutes.

Plan A = 50 + 0.04X

Plan B = 60 + 0.02X


50 + 0.04X = 60 + 0.02X

Subtract 50 from each side:

0.04X = 10 + 0.02X

Subtract 0.02X from each side:

0.02X = 10

Divide both sides by 0.02

X = 10 / 0.02

X = 500

It will take 500 minutes.



6 0
3 years ago
Y=3x−4<br> y=−12x+3<br> solution <br> solve by graphing
Anna11 [10]

Answer:

(7/15,−13/5)

Equation Form:

x=7/15,y=−13/5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

7 0
2 years ago
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