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2 years ago

The length of the base of an isosceles triangle is x. The length of a leg is 4x -2. The perimeter of the triangle is 41. Find x

Mathematics

1 answer:

solniwko [45]2 years ago

4 0

Answer:

x = 5

Step-by-step explanation:

x + 4x - 2 + 4x - 2 = 41

9x - 4 = 41

9x = 45

x = 5

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Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown:

kipiarov [429]

Answer:

15.59 feet

Step-by-step explanation:

We need to find BC and CD

First find BC

We can use the Pythagorean theorem

AB^2 + BC^2 = AC^2

11^2 + BC^2 = 13^2

121 + BC^2 =169

Subtract 121 from each side

121-121+BC^2 = 169-121

BC^2 = 48

Take the square of each side

sqrt(BC^2 ) = sqrt( 48)

BC = 6.92820323

then we need to find CD

We can use the Pythagorean theorem

CD^2 + DE^2 = CE^2

CD^2 + 5^2 = 10^2

CD^2 + 25 =100

Subtract 25 from each side

CD^2 + 25-25 =100-25

CD^2 = 75

Take the square of each side

sqrt(CD^2 ) = sqrt( 75)

BC = 8.660254038

BD = BC +CD

= 6.92820323 + 8.660254038

15.58845727

7 0

3 years ago

brine's kitchen has an area of 81 square feet. the kitchen is 9 times as many square feet as brine's pantry. if the pantry is 3

maks197457 [2]

So 81/9=9 so area of pantry is 9

3 times x=9
3x=9
divide both sides by 3
x=3

legnth/width=3

8 0

2 years ago

Circle O has a circumference of approximately 250 ft

Varvara68 [4.7K]

Answer:

80 feet

Step-by-step explanation:

c=d $\pi$

Substitute 250 in for circumference

250= $\pi$ d

Divide by $\pi$ or 3.14

d=79.617...

So, the diameter is approximately 80 feet

Hope this helps! :)

8 0

2 years ago

A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?

Brrunno [24]

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

$Z=\frac{x-mean}{standard deviation}$

For the case given, the z score will be;

$Z=\frac{34-16}{6}=3$

7 0

3 years ago

Factor completely 36x 2 + 60x + 25

sweet [91]

I believe that the answer is 90x+27

7 0

2 years ago

Read 2 more answers