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jeka94
3 years ago
8

Please answer both questions in the picture

Mathematics
1 answer:
MrMuchimi3 years ago
5 0
Q7
4, 8, 10  is an obtuse triangle 
10, 18, 24 is an obtuse triangle
9, 10, 15 is right triangle
6, 9, 14 is an obtuse triangle

Q8
5, 8, 10
is a obtuse scalene triangle

Hope this helps :)
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Determine the distance between (-5,2) and (-2,5). show your work. round to the nearest tenth if necessary.​
statuscvo [17]

Answer

-2

Step-by-step explanation:

learn how to do your work f^gg0+

4 0
3 years ago
Can you guys pls help me with this math question
aleksklad [387]

Answer:

Dimensions:  125 m x 250 m

Area:  31,250 m²

Step-by-step explanation:

Given information:

  • Total amount of fencing = 500m
  • Only 3 sides of the land need to be fenced

First, let us assume that the land is <u>rectangular</u> in shape.

Let y = length of the side opposite the river

Let x = length of the other 2 sides of the land

Therefore, we can create two equations from the given information:

  <u>Area of land</u>:   A= xy

  <u>Perimeter of fence</u>:   2x + y = 500

Rearrange the equation for the perimeter of the fence to make y the subject:

\begin{aligned} \implies 2x + y & = 500\\ y & = 500-2x \end{aligned}

Substitute this into the equation for Area:

\begin{aligned}\implies A & = xy\\& = x(500-2x)\\& = 500x-2x^2 \end{aligned}

To find the value of x that will make the area a <em>maximum</em>, <u>differentiate</u> A with respect to x:

\begin{aligned}A & =500x-2x^2\\\implies \dfrac{dA}{dx}& =500-4x\end{aligned}

Set it to zero and solve for x:

\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 500-4x & =0 \\ x & = 125 \end{aligned}

Substitute the found value of x into the original equation for the perimeter and solve for y:

\begin{aligned}2x + y & = 500\\\implies 2(125)+y & = 500\\250+y & = 500\\y & = 250\end{aligned}

Therefore, the dimensions that will give Christine the maximum area are:

125 m x 250 m (where 250 m is the side opposite the river)

The maximum area is:

\begin{aligned}\implies \sf Area_{max} & = xy\\& = 125 \cdot  250\\& = 31250\: \sf m^2 \end{aligned}

6 0
2 years ago
Which expression is equivalent to 1/4(20z+24)?
hram777 [196]

Answer:

<h2>-5z-6</h2>

Step-by-step explanation:

-1/4 x 20z = -5z

24 x -1/4 = -6

So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.

3 0
3 years ago
Read 2 more answers
Please help<br>mathematics ​
fomenos
<h3>Given:</h3>
  • Trapezium
<h3>To find:</h3>
  • Length of BC
  • Value of "x"
<h3>Solution:</h3>

We can divide the given shape into a triangle and a rectangle.

We'll have to use Pythagoras Theorem.

\large\boxed{Formula:{a}^{2}={b}^{2}+{c}^{2}}

In this question we have to find the hypotenuse so we'll have to add.

Let's substitute the values according to the formula.

BC= {6}^{2}+{7}^{2}

BC= 85

BC =  \sqrt{ 85}

\boxed{BC=9.22 \: cm}

Now, we can find the value of "x"

  • Adjacent= 7 cm
  • Opposite= 6 cm
  • Hypotenuse= 9.22 cm

We can use any one from SOHCAHTOA.

Here I'm using tan.

\large\boxed{Formula: tan(a)= \frac{opp}{adj}}

Let's substitute the values according to the formula.

tan \: x= \frac{6}{7}

We'll have to use tan inverse.

x= {tan}^{-1}(\frac{6}{7})

\boxed{x=40.6°}

4 0
3 years ago
Read 2 more answers
Simplify: 6 x (-5)+(-18)​
faust18 [17]

Answer:

-138

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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