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Ipatiy [6.2K]
2 years ago
6

In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm.

Find the lengths of all sides.
Mathematics
1 answer:
Elina [12.6K]2 years ago
8 0
Perimeter is sum of all 3 sides.  Isosceles triangle has two same sides and one short side.
If the short side is X, the other two sides would be 2X and 2X (since the short side is twice shorter)
P = x + 2x + 2x
50 = 5X
10 = X
Short side is 10, other two sides are 2(10) or 20.
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A rectangular room has a width of 5 yards and length of 6 yards. How many square-feet carpet will be required for carpeting the
Sindrei [870]

Answer:

Option B 270\ ft^{2}

Step-by-step explanation:

we know that

The area of the rectangle room, is equal to

A=LW

where

L is the length

W is the width

we have

L=6\ yd

W=5\ yd

Remember that

1 yard= 3 feet

Convert yards to feet

L=6*3=18\ ft

W=5*3=15\ ft

The area is equal to

A=(18)(15)=270\ ft^{2}

4 0
2 years ago
Which is the graph of linear inequality x – 2y ≥ –12?
galben [10]

Answer:

option D

Step-by-step explanation:

x-2y≥-12

-2y≥-x-12

y≤0.5x+6

has to be a solid line since y is less than or equal to 0.5x+6

so, options 1 and 3 are not applicable

also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)

so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer

I attached a file of this inequality's graph to prove my answer once more

4 0
2 years ago
The following curve passes through (3,1). Use the local linearization of the curve to find the approximate value of y at x=2.8.
Artist 52 [7]

d/dx (2 x^2 y + y = 2x + 13) 4xy + 2x^2 y' + y' = 2 4xy + y'(2x^2 + 1) = 2 y' = (2- 4xy)/(2x^2 +1)

<span>ow we can use this in a linear equation for a slope Ty = -5x/8 +5(3)/8 +8/8 = -5x/8 +(15+8)/8 = -5x/8 +23/8 this will gives us an approximation at x=2.8 now</span>

3 0
2 years ago
Read 2 more answers
Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole
Art [367]

Answer:

a = 5 and b = 12

Step-by-step explanation:

<u>Step 1: Find angle B</u>

<em>Angle C = 90°</em>

<em>Angle A = 22.6°</em>

<em>Angle B = B</em>

<em>All angles in a triangle are equal to 180°.</em>

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

<u>Step 2: Find the value of side AC 'b'</u>

<em>Hypotenuse = 13</em>

<em>Adjacent = b</em>

<em>Angle A = 22.6°</em>

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

<u>Step 3: Find the value of side CB 'a'</u>

<em>Hypotenuse = 13</em>

<em>Opposite = a</em>

<em>Angle A = 22.6°</em>

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

!!

8 0
2 years ago
Read 2 more answers
Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe
azamat

Answer:

There are total number of pet fish and reptile pets are 1.49\times 10^8.

Step-by-step explanation:

Number of pet fish are 1.4\times 10^8 and the number of pet reptiles are 9.4\times 10^6.

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8

So, there are total number of pet fish and reptile pets are 1.49\times 10^8.

8 0
2 years ago
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