All categories

2 years ago

Find the area of the following shape

Mathematics

1 answer:

blsea [12.9K]2 years ago

8 0

Answer:

56.8 m²

Step-by-step explanation:

This shape is clearly a trapezium / trapezoid. So :

Area of a trapezium is given by the formula :

$\frac{a+b}{2} h$

Substitute values given in diagram :

a = 4.2

b = 10

h = 8

$(\frac{4.2+10}{2} )8$

7.1 × 8 = 56.8

Units will be m² as this is area

Giving us our final answer of 56.8 m²

You might be interested in

Which equation demonstrates the multiplicative identity property?

dedylja [7]

Answer: Further explanation

There are several number operations that involve multiplication:

1. commutative

2. associative

3. closed

Multiplication between integers will produce integers too

4. distributive property

* addition

* substraction

5. identity

The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply :

"The product of any number and one is that number"

So The Multiplicative Identity is 1

can be stated in the formula:

From the available answer choices

a) (- 3 + 5i) + 0 = -3 + 5i

this is an addition operation and not multiplication while O is an identity in the sum operation, so the statement is false

b) (-3 + 5i) (1) = -3 + 5i

this is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true

c) (-3 + 5i) (-3 + 5i) = -16-30i

d) (-3 + 5i) (-3 + 5i) = 16 + 30i

choice c and is a multiplication factor, so the statement is false

Step-by-step explanation:

5 0

3 years ago

Solve the following factorize and the en- equation of quadrate equation X² + 5x + 7 x = 0

nlexa [21]

Answer:

{-12,0}

Step-by-step explanation:

first to solve this can collect like terms and add

X² +12x=0

and solve it by factorization method

X² +12x=0

x(x+12)=0

it means x multiplied by x = X² then x multiplied by 12 = 12x

so this means x or (x+12) equals to zero

x=0 and (x+12)=0

x+12=0

x=-12

so the solution set is {-12,0}

but can also be done by formula method

8 0

2 years ago

32 to 36 Directions: Find the area for the

dolphi86 [110]

Answer:

Step-by-step explanation:

Area of a circle is calculated by squaring the radius then multiplying by pi. Eight squared is sixty-four, then multiplied by pi you get 201.

5 0

3 years ago

A baseball is hit into the air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas

tankabanditka [31]

Answer:

$\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }$

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

$h(0)=-16\cdot 0^2+128 \cdot 0+2=2$

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as $ax^2+bx+c$ , it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

$\dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{ seconds}}$

And the maximum height of the baseball is h(4).

$h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0

3 years ago

Somebody help plz i need some I’m dying inside help?

Schach [20]

Answer:

1/3

Step-by-step explanation:

slope is just change in y over change in x

on a graph this can be found by counting the change in units

look at the point at (-3,0)

find the change in y by starting at that point and counting up or down until you reach another point.

the next point (-4,-3) is three units down (change of -3)

now go back to the first point and count left or right until you reach the other point to get change of x

the other point is one unit left (change of -1)

change of y over change of x = -1/-3=1/3

6 0

3 years ago

Read 2 more answers