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timama [110]
3 years ago
14

This is the 3rd of 14.

Mathematics
2 answers:
Brut [27]3 years ago
8 0
Let the height of the triangle be x then the base becomes as 4+x
now area of triangle in a plane surface is given by
1/2*base*height
thus
1/2*(4+x)*x= 16
4x+x^2 = 32
x^2 +4x -32 = 0
x^2+8x-4x-32
x(x+8)-4(x+8)
therefore x is equal to -8 or +4
hence it can't be in negative so it is +4
thus base becomes +8
the height is 4 cm and base is 8cm
Snezhnost [94]3 years ago
4 0
The height is 4 cm and the base is 8 cm.
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The shape is composed of three squares and two semicircles.Select all the expressions that correctly calculate the perimeter of
lidiya [134]

Answer:

100+20π

Step-by-step explanation:

Find the diagram attached.

Perimeter of a square =4L

L is the side length of a square

From the diagram;

L = 10

Perimeter of a square = 4(10) = 40

Perimeter of 3 squares = 3(40) = 120

2 semi circle = a circle

Perimeter of a circle= 2πr

radius of the Circle = length of a side of the square.

Area of the circle = 2π(10)= 20π

Perimeter of the shape = Perimeter of the two semicircle + area of the 4squares = 100+20π

3 0
2 years ago
Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'
AleksandrR [38]
Let's start by assuming Armando's house is between Joey's and the park. 

Let x be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. 

</span>\dfrac{9}{10} = x + \dfrac{3}{5}

x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}

That's probably the answer they're looking for.  But what if the park is between Joey and Armando's houses or Joey is between the park and Armando?  (The latter isn't really possible with the given distances.)

Let a, b, c be the distances between three collinear points like we have here.  Our equation is really a few equations in one, something like

\pm a \pm b = \pm c

Let's get rid of the plus/minuses. Squaring,

a^2 + b^2\pm 2ab = c^2

\pm 2ab = c^2-a^2-b^2

4a^2b^2 = (c^2-a^2-b^2)^2

For us, that's a quadratic equation for c^2

4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2

I'll skip right to the solutions,

c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}


c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0
3 years ago
How do you write 2/75/100
Kipish [7]
It has to be 2.75 as a decimal.

6 0
3 years ago
Read 2 more answers
How do i solve x + 6/x = -7
DiKsa [7]

Answer:

???

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, either you typed in something wrong, or this has no solutions.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

8 0
3 years ago
Read 2 more answers
Help please lol soon
Yuliya22 [10]

Answer:

d.

D: {-7, 0, 2, 6}

R: {-13, 0, 5, 13}

Step-by-step explanation:

Domain of a relation is the set of all input values (x-values) while the range is the set of all corresponding output values (y-values) in a given relation.

Given the relation represented by the table above,

Domain would be: {-7, 0, 2, 6}

Range: {-13, 0, 5, 13}

5 0
3 years ago
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