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3 years ago

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:

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

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:

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3 years ago

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