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3 years ago

PLEASE HELP PLEASE PLEASE

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

4 0

Answer: The value of x =2 units.

Explanation:

Since we have given that

AD= CD

BE= EA

So, we get that D and E are the mid-points of AC and AB respectively.

So, by Mid- point theorem , which states that the line joining the two midpoints is parallel to third side and it is half in length of third side i.e.

$DE=\frac{1}{2}BC$

So, we put the value of DE and BC ,

$5x-3=\frac{1}{2}\times (x+12)\\\\2(5x-3)=x+12\\\\10x-6=x+12\\\\10x-x=12+6\\\\9x=18\\\\x=\frac{18}{9}=2$

Hence, the value of x =2 units.

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The length of the carpet is 2a2 and width is 3a. Find the area of the carpet. HELP ME PLEASE

jenyasd209 [6]

Answer:

$6a^{3}$

Step-by-step explanation:This is a very simple question.

We all know that the equation or formula for area is...

A= L*W

So multiply...

$2a^{2} *3a$ = $6a^{3}$

Since 3a has an exponent power of 1 and you add the exponent power when multiplying...

The result would be... $6a^{3}$ .

Hope this helps:)

4 0

3 years ago

What is the solution to -3m = -15

Leviafan [203]

Answer:

$m=5$

Step-by-step explanation:

$-3m=-15$

Divide both sides by -3:

$\frac{-3m}{-3}=\frac{-15}{-3}$

$m=5$

3 0

3 years ago

Read 2 more answers

The resultant of a 15 pound force and an 8-pound force acting on an object is 10 pounds.

natali 33 [55]

Answer:

112 degrees.

Step-by-step explanation:

as we know that the three set of forces will form a triangle, by using cosine rule, we can find the required angle.

follow the diagram in the attachment.

by cosine rule for $\alpha$ ,

2*10*8*cos $\alpha$ = $8^{2} +10^{2} -15^{2} = 64+100-225= 164-225=-61$

now, dividing both sides by 2*10*8,

cos $\alpha$ = -61/160

$\alpha$ = 112.4 degrees = 112 ( appox) ( use calculator for this cos inverse function)

5 0

3 years ago

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mezya [45]

Answer:

1. Find the circumference, then multiply that by 120 turns.

Formula for circumference;

C = 2πr

But, we need to find the radius which is 1/2(half) of the diameter, so,

D/2 = R

D = Diameter

R = Radius

20/2 = 10 is the radius.

Plug in values now:-

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8 is the circumference, now we multiply this by 120 to get the total amount of centimetres it'll go.

62.8(120)

= 7,536 cm it'll go.

2. Find the circumference, then multiply that by 750 turns/revolutions.

C = 2πr

Find radius,

D/2 = R

50/2 = 25 is the radius.

Plug in values now:-

C = 2(3.14) x 25

C = 6.28 x 25

C = 157 cm it'll go.

3. Same thing, find circumference then compare values.

Given that radius is 10,

Use the formula for circumference;

C = 2πr

Replace values:-

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8 cm is the circumference of the first circle.

Now the second circle, (use same formula)

C = 2πr

Find radius,

D/2 = R

10/2 = 5 is the radius.

Replace values:-

C = 2(3.14) x 5

C = 6.28 x 5

C = 31.4 cm is the circumference for the second circle.

Now subtract the second circle's circumference from the first:

62.8 - 31.4

= 31.4, 31.4 cm is how much greater the second circle is than the first.

4 - 5. Find circumference, (using circumference formula)

C = 2πr

Find radius,

D/2 = R

760/2 = 380

Replace values:-

C = 2(3.14) x 380

C = 6.28 x 380

C = 2,386.4 km is the distance he'll travel.

If he wants to travel around it with 2,000 km, he'll need to travel at least once.

7 0

3 years ago

Jason owns two square plot of land that have the same dimensions. He subdivides one into 10 equal parcels and the other into 11

Ymorist [56]

No, they do not yield the same amount of land.

If you divide a number by 10, you get a larger result than if you divide it by 11. So let's say the area of the two squares is 110:

110/10 = 11 for each parcel

110/11 = 10 for each parcel

4 0

3 years ago