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3 years ago

The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle

Mathematics

1 answer:

netineya [11]3 years ago

5 0

Answer:

Area of rectangle is, $5m^2$ square cm.

Step-by-step explanation:

Given: The width of a rectangle (w) = m cm

As per the condition; length(l) is five times greater than the width i.e,

$l = 5w$ cm

Now, to find the area of a rectangle(A) multiply its length(l) by its width(w) i.e,

$A = l\times w$ square unit .

Substitute the value of l and w in above formula;

$A = l \times w = (5w) \times w = 5w^2 = 5(m)^2 = 5m^2$ square cm.

Therefore, the area of rectangle is; $5m^2$ square cm.

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Determine the rate of change of the function given by the table.

Molodets [167]

Answer:

Step-by-step explanation:

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3 years ago

A cart travels 3.6 meters in 1.8 seconds. What is the average speed of the cart?

Lady_Fox [76]

For solving this we need the change in distance and the change in time. You said that the change in time is 1.8 seconds and the change in distance is 3.6 meters. ( This is assuming it started at 0 meters and started at 0 seconds )

Since the starting was 0,0 we can toss them out as they add no value. Now since speed is labeled (in this case) m/s, we divide how many meters it traveled over how many seconds it took to travel it.

3.6 / 1.8 = 2

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6 0

3 years ago

Needs answers <br> Will mark brainliest

Elden [556K]

QUESTION 1:

Required angles are: m<2=75°, m<3=75°, m<4= 105°, m<5= 105°, m<6=75°, m<7=75°, m<8=105°

QUESTION 2:

Required angles are: m<1=100° m<2=80°, m<4= 100°, m<5= 100°, m<6=80°, m<7=80°, m<8=100°

Step-by-step explanation:

Question 1:

if m<1 =105°

We need to find the remaining angles.

The corresponding angles of a traversal are same. so the corresponding angle of <1 is angle 5 So, m<5 = 105°

The vertical angles are also equal. so, vertical angle of <1 is <4. So, m<4 = 105°

Vertical angles of m<5 is m<8 so, m<8=105°

m<1 and m<2 are supplementary angles of each other so their sum will be equal to 180°

So, m<1+m<2=180

105+m<2=180

m<2=75°

Same goes for m<3 and m<4 so, m<3 = 75°

m<5 and m<6 so, m<6 = 75°

m<7 and m<8 so, m<7= 75°

So, required angles are: m<2=75°, m<3=75°, m<4= 105°, m<5= 105°, m<6=75°, m<7=75°, m<8=105°

Question No 2

if m<3=80°

We need to find the remaining angles.

The corresponding angles of a traversal are same. so the corresponding angle of <3 is angle 7 So, m<7 = 80°

The vertical angles are also equal. so, vertical angle of <3 is <2. So, m<2 = 80°

The Vertical angle of <7 is <6 so, m<6= 80°.

m<1 and m<2 are supplementary angles of each other so their sum will be equal to 180°

So, m<1+m<2=180

m<1+80=180

m<1=100°

Same goes for m<3 and m<4 so, m<4 = 100°

m<5 and m<6 so, m<5 = 100°

m<7 and m<8 so, m<8= 100°

So, required angles are: m<1=100° m<2=80°, m<4= 100°, m<5= 100°, m<6=80°, m<7=80°, m<8=100°

Keywords: Traversal of parallel lines

Learn more about traversal of parallel lines at:

#learnwithBrainly

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3 years ago

HELP ASAP!!!! There is a clip below.

Len [333]

Answer:

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h = 1620 / 81 = 20

Step-by-step explanation:

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2 years ago

Given: circle k(O), m∠P=95°, m∠J=110°, m∠LK=125°<br> Find: m∠PJ

IRINA_888 [86]

Answer:

The measure of the arc PJ is $75\°$

Step-by-step explanation:

step 1

Find the measure of angle L

we know that

In a inscribed quadrilateral opposite angles are supplementary

$m$

we have

$m$

substitute

$m$

step 2

Find the measure of arc KJ

we know that

The inscribed angle measures half that of the arc comprising

$m$

substitute the values

$95\°=\frac{1}{2}(125\°+arc\ KJ)$

$190\°=(125\°+arc\ KJ)$

$arc\ KJ=190\°-125\°=65\°$

step 3

Find the measure of arc PJ

we know that

The inscribed angle measures half that of the arc comprising

$m$

substitute the values

$70\°=\frac{1}{2}(65\°+arc\ PJ)$

$140\°=(65\°+arc\ PJ)$

$arc\ PJ=140\°-65\°=75\°$

5 0

3 years ago