Can someone pleeeeease help me!!

How do you write ten fifteens in the simplest form for fraction

kirza4 [7]

10/15 divided by 5 = 5/10

5 0

3 years ago

BC and DF are parallel lines. B is a point on AD and E is a point of DF. BD=BE. work out angle DBE give a reason. ITS ON MATHSWA

zloy xaker [14]

Answer:

(Angle DBE) ∠DBE = 50°

Step-by-step explanation:

It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.

From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .

Given that

BC and DF are parallel lines.

B is a point on AD

BD=BE

work out angle DBE and give a reason.

The diagram can be seen in the attached image below.

SInce ∠BD = ∠DE

Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.

The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)

So;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

From the diagram; we will see that ∠ABC = ∠BDE (corresponding angle)

Since ; ∠ABC is not given and which is needed to solve this question.

Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.

Now;

Since

∠ABC = ∠BDE

∠ABC = 65°

∠BDE = 65°

Again;

∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)

∠BDE will be aso equal to ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.

Therefore;

65° + 65° + ∠DBE = 180° (sum of angles in a triangle)

130 ° + ∠DBE = 180° (sum of angles in a triangle)

∠DBE = 180° - 130°

∠DBE = 50°

3 0

3 years ago

Members of a college chemistry department agree to contribute equal amounts of money to make up a scholarship fund of $280. Then

Zarrin [17]

Answer:

7 members

Step-by-step explanation:

Lets say that the department has n members. If each member contributes with an equal amount x and make a total of $280, we know that:

n*x = 280

Where each one colaborated with:

n*x/n = 280/n

Or what is the same that: (as the n on the left eliminate themselves)

x = 280/n (*)

Now the department hires 3 more members, so we now have n+3 members. And we know that the pass from contributing x to contribute $30 less, it is, x-30 (I omit the $ symbol for simplicity). So, know we have:

x-30 = 280/(n+3)

We can replace x here by the formulation of x we did in the (*) equation:

( 280/n) - 30 = 280/(n+3)

using common denominator:

( 280/n) - 30 n/n = 280/(n+3)

( 280 - 30 n)/n = 280/(n+3)

Cross multiplying the denominators:

( 280 - 30 n)*(n+3) = 280*(n)

280n - 30n^2 + 840 - 90n = 280n

Subtracting 280 n in both sides:

30n^2 + 840 - 90n = 0

Dividing both sides by 30:

-n^2 - 3n + 28 = 0

Factorizing this term (you can notice the factor immediately or solving with baskara resolution, I omit the baskara for simplicity):

-(n + 7)(n - 4) =0

So, n is equal to 4 and -7. As we are dealing with people we can not have -7 people, so we keep only n=4.

So, previous the new hiring there were 4 members, now there are 7.

The used to collaborate with 280/4 = $70, now the collaborate with 280/7=$40, and we see the collaboration decreased in $30.

7 0

3 years ago

A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.

levacccp [35]

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

sin(52°) = height/(15 ft)

Multiplying by the denominator gives you ...

height = (15 ft)·sin(52°) ≈ 11.820 ft

___

You may need to round this number appropriately.

5 0

4 years ago

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Natali [406]

Answer:

5.24 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference × fraction of circle

= 2πr × $\frac{60}{360}$

= 2π × 5 × $\frac{1}{6}$

= $\frac{10\pi }{6}$ ≈ 5.24 in (2 dec. places )

3 0

4 years ago