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2 years ago

The length of a rectangle is 4 cm longer than the width, The perimeter is 80cm. Find the length and the width.

Mathematics

1 answer:

TEA [102]2 years ago

8 0

Answer:

the length is 22 and the width is 18

Step-by-step explanation:

The perimeter is 2(l) + w(2)

w is the width and l is the length

if you plug in 22 and 18 you get

2(22)+(2)18

then you do multiplication to get

44+36

then you add and you get 80

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d1i1m1o1n [39]

Well idk honstely but it’s less than 90 degree angle because that’s what D is

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3 years ago

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If a triangle has side lengths 7, 10, and 12, is it a right triangle??

Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, $a^2 + b^2 = c^2$

where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, $7^2 + b^2 = 12^2$ or $10^2 + b^2 = 12^2$

$7^2 + b^2 = 12^2$ ==> 49 + b^2 = 144 ==> b= $\sqrt{95$ ==> 9.746

b= 9.7, not 10.

$10^2 + b^2 = 12^2$ ==> 100 + b^2 = 144 ==> b = $\sqrt{44$ ==> 6.633 

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

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3 years ago

Maria makes beaded necklaces. She charges a rate of $0.75 per inch in length plus $0.25 per bead as shown in the expression, whe

sergiy2304 [10]

16x+60y
16(.75)+60(.25)
12+15=27
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3 years ago

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Elena L [17]

Answer:

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Step-by-step explanation:

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2 years ago

Part

goldfiish [28.3K]

When a shape is rotated, it must be rotated around a point.

To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by $90^o$ .

From the question, we have:

$C = (5,-1)$ --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

$(x,y) \to (x - 5, y + 1)$

Then the vertices are rotated by $90^o$

The rule of $90^o$ rotation is:

$(x,y) \to (-y,x)$

So, we have:

$(x - 5,y + 1) \to (-y - 1,x - 5)$

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

$(0,2) \to (-2-1,0-5) \to (-3,-5)$

$(0,5) \to (-5-1,0-5) \to (-6,-5)$

$(4,2) \to (-2-1,4-5) \to (-3,-1)$

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)