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4 years ago

Please help will mark brainiest: Find the area of the following shapes:

Mathematics

2 answers:

ladessa [460]4 years ago

5 0

Answer:

180

Step-by-step explanation:

1- you can take the rectangular part of the shape because it is easy to calculate: length×width which is 9×15= 135

2- Now you take the triangular part of the shape which you can calculate by width×length× 1/2. The width is 15-9= 6 so 6×15×1/2= 45

3- Add them together to get the full area 45+135= 180

elena-s [515]4 years ago

4 0

Answer:

180

Step-by-step explanation:

Find the area of the imaginary square. Then subtract it by the area of the space left in.

15*15
6*15 divide by 2
225-45
180

You might be interested in

How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.

lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle $\frac{2\pi }{3}$

- That means its magnitude is 7 and its direction is $\frac{2\pi }{3}$

∴ x = 7 cos( $\frac{2\pi }{3}$ )

∴ y = 7 sin( $\frac{2\pi }{3}$ )

∵ cos( $\frac{2\pi }{3}$ ) = $-\frac{1}{2}$

∵ sin( $\frac{2\pi }{3}$ ) = $\frac{\sqrt{3}}{2}$

- Substitute them in x and y

∴ x = (7)( $-\frac{1}{2}$ )

∴ x = -3.5

∴ y = (7)( $\frac{\sqrt{3}}{2}$ )

∴ y = 3.5 $\sqrt{3}$

∴ The vector is <-3.5 , 3.5 $\sqrt{3}$ >

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <3 + -3.5 , 4 + 3.5 $\sqrt{3}$ >

∴ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <-0.5 , 4+3.5 $\sqrt{3}$ >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

5 0

4 years ago

5x( 4y2 + 5z) – (4y2 + 52

mrs_skeptik [129]

Hello! :)

To solve your equation, we will simplify

5 x (4y^2 + 5z) - (4y^2 +52)

Let's Distribute the negative sign

5 x (4y^2 + 5z) + −1 (4y^2 + 52)

5x (4y^2 + 5z) + −1 (4y^2) + (−1) (52)

5x (4y^2 + 5z) + −4y^2 + −52

Now, we will Distribute

(5x) (4y2)+(5x) (5z) + -4y^2 + -52

20xy^2 + 25xz + −4y^2 + −52

Hope this helped you!

THEDIPER

3 0

4 years ago

Hlp me hlp me hlp me hlp me

vodka [1.7K]

The unit rate would be points per game.

To find the points per game, divide both numbers by 6:

288/6 = 48

the unit rate would be 48 points / 1 game.

The answer is the first choice.

8 0

3 years ago

Read 2 more answers

According to the instructions on a bag of fertilizer, 5 pounds fertilizer are needed for every 1000 square feet of lawn . How ma

Pie

Answer: 3000 square feet

15 is 3 times 5
So multiply 1000 by 3

8 0

3 years ago

10 5/12- 12 7/12 = in simplest form

Alika [10]

Answer:

-13/6 or (in mixed number form) -2 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=10+512−12−712

Solving the whole number parts

10−12=−2

Solving the fraction parts

512−712=−212

Reducing the fraction part, 2/12,

−212=−16

Combining the whole and fraction parts

−2−16=−216

Another way to do it:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

125/12−151/12

Applying the fractions formula for subtraction,

=(125×12)−(151×12) / 12×12

=1500 − 1812/ 144

=−312/144

Simplifying -312/144, the answer is

=−2 1/6

3 0

3 years ago