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3 years ago

Five less than the area of a square is 59 square feet. Find the side length of the square.

Mathematics

1 answer:

In-s [12.5K]3 years ago

6 0

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

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Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees. In the diagram of ci

luda_lava [24]

Answer:

$\angle m=90^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measurement of the external angle is the half-difference of the arches that comprise

$\angle m=\frac{1}{2}(major\ arc\ LN-minor\ arc\ LN)$

Remember that the sum of the major arc and a minor arc is equal to 360 degrees

we have

$major\ arc\ LN=270^o$ ----> is given

$minor\ arc\ LN=360^o-270^o=90^o$

substitute the values

$\angle m=\frac{1}{2}(270^o-90^o)=90^o$

5 0

4 years ago

Read 2 more answers

chong earns an annual salary of 29,500. how much is his biweekly paycheck? $1,134.62 $1,135.62 $1,234.62 none of the above

oee [108]

To figure this out, divide the annual salary by the months in a year.
29,500/12=2458.33
Now divide that by half of the amount of weeks in month
2458.33/1.5=1638.88
So the answer is none of the above.

6 0

3 years ago

Please solve the problem below

mr Goodwill [35]

You would use the cosine rule for this as you have 2 lines and are given the angle between them
The angle can be figured out easily as the clock has 12 equal components, meaning each component is 360/12 which is 30
As there are 5 components between A and B the angle is 30*5 =150
You can plug all of this into the cosine rule
a^2= b^2+c^2-2bcCos(A)
So a = sqrt( 10^2 +7^2 -(2*10*7) cos150)
a=16.4 to 3 sf

5 0

3 years ago

please help :( please help :( please help :( please help :( please help :( please help :( please help :( please help :(

Virty [35]

Answer:

(1) 23.55mm³

(2) 340.17in³

Step-by-step explanation:

Volume of a cone is: $V=\frac{1}{3} \pi r^2h$

'r' - radius

'h' - height

The height of Cone 1 is 10 mm. The Diameter of Cone 1 is 3mm.

Radius is half the Diameter.

$3/2=1.5$

The radius is 1.5 mm.

$\text {Using 3.14 as pi: }\\V=(1/3)3.14*1.5^2*10\\V=(1/3)3.14*2.25*10\\V=(1/3)70.65\\\boxed{V=23.55}$

The volume of Cone 1 should be about 23.55mm³.

The height of Cone 2 is 13 in. The Radius of Cone 2 is 5 in.

Using 3.14 as pi:

$V=(1/3)3.14*5^2*13\\V=(1/3)3.14*25*13\\V=(1/3)1020.5\\\boxed {V=340.166666667}$

340.166666667 ≈ 340.17

The volume of Cone 2 should be about 340.17in³.

8 0

3 years ago

Select the correct answer.<br> What is this expression in simplest form?

Ipatiy [6.2K]

Answer:

I would say b

Step-by-step explanation:

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3 years ago

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Five less than the area of a square is 59 square feet. Find the side length of the square.