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Hoochie [10]
3 years ago
11

Need help with this question.

Mathematics
1 answer:
Lisa [10]3 years ago
4 0

9514 1404 393

Answer:

  643.72 m²

Step-by-step explanation:

The area is the sum of the areas of the parts. The figure can be divided into a triangle and a semicircle.

The formula for the area of the triangle is ...

  A = 1/2bh

For the given base of 28 m and height of 24 m, the area is ...

  A = 1/2(28 m)(24 m) = 336 m²

__

The area of a semicircle is given by the formula ...

  A = (π/8)d² . . . . for diameter d

The given diameter is 28 m, so the area is about ...

  A = (3.14/8)(28 m)² = 307.72 m²

__

Then the total area of the figure is ...

   total area = triangle area + semicircle area

   total area = 336 m² +307.72 m² = 643.72 m²

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it costs $20 for 4 play tickets and $35 for 7 play tickets. Is cost per ticket constant? why or why not?
KonstantinChe [14]

Answer:

The cost per ticket is<u> constant</u>.

Step-by-step explanation:

Given:

It costs $20 for 4 play tickets and $35 for 7 play tickets.

Now, to get whether cost per ticket is constant or not.

So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.

Now, we check it:

4 play tickets costs  = $20.

1 play tickets costs  = $20 ÷ 4 = $5.

So, 7 play tickets costs = $5 × 7 = $35.

Thus, the cost of ticket for play is not changing and it is constant.

So the cost per ticket is constant.

Therefore, the cost per ticket is constant.

4 0
3 years ago
After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

a_1=a

The common ratio of the sequence is

r

The explicit formula for a geometric sequence is :

a_n=a_1(r^{n-1})

To find the third term, we put n=3 to get:

a_n=a(r^{3-1})

This simplifies to:

a_3=ar^2

7 0
3 years ago
What is the nth term rule of the quadratic sequence below?<br> -5, -3,3, 13, 27, 45, 67, ...
Svetllana [295]

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Eight more than the quotient of a number and 4 equals 5
Lady bird [3.3K]
Well we can put that word problem into a equation so, 8+x/4=5. Now what I would do is move the 8 to the other side, and since it moved to the other side it becomes a -8 so now we have x/4 = -3. Now I would multiply both side by 4 to get x = -12

Answer= X = -12
3 0
3 years ago
If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?
S_A_V [24]

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

Increase in perimeter = 2.2 (L + W) - 2 (L + W)

The increase in Perimeter = 0.2 (L + W)

Percent increase

= 0.2 (L + W)/2 (L + W) × 100

= 0.2/2 × 100

= 0.1 × 100

= 10%

I hope this helped and if it did, please mark as Brainliest.

7 0
2 years ago
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