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iris [78.8K]
3 years ago
11

sonia wanted to buy new carpet for her L shaped room. her measurements are as follows 6ft., 17ft, 20ft, and 10 ft; what is the a

rea of this room

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
3 0

We have composite shape consisting of two rectangles with dimensions of one rectangle as 20 feet by (10-6) feet and other rectangle as 6 feet by (20-17) feet.

We know the formula for area of rectangle is given as follows :-

Area of Rectangle = Length x Width

First rectangle's area would be = 20 feet x 4 feet = 80 square feet.

Second rectangle's area would be = 6 feet x 3 feet = 18 square feet.

Area of the room = First rectangle's area + Second rectangle's area.

Area of the room = 80 + 18 = 98 square feet.

Hence, final answer is 98 square feet.

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i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!
Soloha48 [4]

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = \sqrt{184.96} = 13.6

6 0
2 years ago
What is the value of 3 in the figure shown below?
NeX [460]

9514 1404 393

Answer:

  32

Step-by-step explanation:

Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.

  ∠E = 180° -118° -30° = 32°

The value of x is 32.

7 0
2 years ago
In 1980, James planted a tree that was 1 foot tall. In 1996, that same tree was 51 feet tall. James finds that the height of the
Rashid [163]
Divide and see what you get = 51
7 0
2 years ago
Normal probability Density Function Use a graphing utility to graph the model probability density function with µ = 0 and ð = 2,
Nuetrik [128]

Answer:

Step-by-step explanation:

Hello!

The standard deviation (δ) is a measure of variability, this means, it shows how dispersed the data set is with respect to the mean. The population mean (μ) is a measurement of position. The three graphics have the same position μ=0 but their standard deviations change, this means, the form of their bells is different. The greater the value of the standard deviation, the more dispersed the data is you can see this graphically because the width of the bell will be greater.

Graph attached.

I hope it helps!

5 0
3 years ago
HELP, I’M STUCK !
vaieri [72.5K]

Since P(<em>X</em> = <em>x</em>) = 0.3 for all 0 ≤ <em>x</em> ≤ <em>α</em>, we have

\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3

So,

P(X>2) = \displaystyle\int_2^\infty P(X=x)\,\mathrm dx=0.3\int_2^{\frac{10}3}\mathrm dx

P(X>2)=0.3\left(\dfrac{10}3-2\right)=\boxed{\dfrac25}

6 0
2 years ago
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