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2 years ago

Find the area.of the shape below

Mathematics

2 answers:

Marta_Voda [28]2 years ago

6 0

Answer: 464 km²

Step-by-step explanation:

We will break this shape up into two parts. You can do this in two different ways, see attached for how I did it.

Area of a rectangle is A = L * W;

40 km * 9 km = 360 km²

13km * 8 km = 104 km²

Now we will add them together for total area:

360 km² + 104 km² = 464 km²

Reika [66]2 years ago

3 0

Answer:

464

Step-by-step explanation:

17x40=680

8x27 (from the empty space)=216

680-216= 464

hope it helps!

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What is the solution to the equation below? √x - 4 = -2 O A. X=& O B. X=4 X = 4 C. x = 6 D. X = 2

saul85 [17]

Answer:

x = 4

Explanation:

Given the expression;

$\sqrt[]{x}-4\text{ = -2}$

Add 4 to both sides

$\begin{gathered} \sqrt[]{x}-4+4\text{ = -2+4} \\ \sqrt[]{x}=\text{ 2} \end{gathered}$

Square both sides

$\begin{gathered} (\sqrt[]{x})^2=2^2 \\ x\text{ = 4} \end{gathered}$

Hence the value of x is 4

$undefined$

5 0

1 year ago

Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

What is the slope of the line that passes through the points (10,-6) and (8, -16)?

gulaghasi [49]

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

8 0

3 years ago

What kind of shape is this? O A. Not a polygon O B. Triangle O c. Quadrilateral O D. Pentagon

Sophie [7]

Answer:

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3 years ago

Help will mark Brainliest

yarga [219]

Answer:

C. is the correct answer

Step-by-step explanation:

A. is incorrect because the sequence does not start with 15

B. is incorrect because the pattern increases by 5, not multiplied by 5

C. is correct because all of the even numbers in the pattern do end in 0

D. is incorrect because even numbers don't end in 5's

Hope this helps!

5 0

2 years ago

Read 2 more answers