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2 years ago

14

David and Mark are marking exam papers. Each set takes David 61 minutes and Mark 1 hour. Express the times David and Mark take a

s a ratio in its simplest form.

1 answer:

Mamont248 [21]2 years ago

5 0

Do you know how to change the 1 hour to minutes

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Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h

shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0

3 years ago

Solve the equation. Round the answer to the nearest tenth.<br> 5*6^3n=20

solniwko [45]

Step-by-step explanation:

5×6'3n=20

30'3n=20

3n=20-30

3n/3= -10/3

n= -3

7 0

3 years ago

A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x &

Karolina [17]

Any proper CDF $F(x)$ has the properties

• $\displaystyle \lim_{x\to-\infty} F(x) = 0$

• $\displaystyle \lim_{x\to+\infty} F(x) = 1$

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

$\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1$

and so

$\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0$

$\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1$

8 0

2 years ago

A jet is coming in for a landing. It's currently 25,000 feet in

Mariana [72]

The angle of depression is 29.0521°. So it is a safe landing.

Step-by-step explanation:

Step 1:

The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.

So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.

To determine the value of x, we calculate the tan of the given triangle.

$tanx = \frac{opposite side}{adjacent side}.$

Step 2:

The length of the opposite side = 25,000 feet.

The length of the adjacent side = 45,000 feet.

$tan x = \frac{25,000}{45,000} = 0.5555.$

So x = 29.0521°. Since x < 30°, it is a safe landing.

8 0

4 years ago

I would like all the help I can’t get pleaseee

expeople1 [14]

Answer:

Step-by-step explanation:

a=4 b=12

2a+3b=

2*4+3*12=

8+36=

44

a²-b+10=

4²-12+10=

4*4-2=

16-2=

14

(ab)²-(a+b)²=

(4*12)²-(4+12)²=

48²-16²=

(48+16)(48-16)=

64*32=

2048

7 0

2 years ago