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ladessa [460]
3 years ago
8

5. Which of the following could represent the side

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer: 19,11,17 and 13,22,14

Step-by-step explanation:

The two smallest numbers (11, 17) added together must be a bigger number than the biggest number (19)...... 11 + 17 = 28

28> 19 :)

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Which of the following represents the factorization of the binomial below ? X2-121
nataly862011 [7]

Answer:

(x+11)(x-11)

Step-by-step explanation:

A ^2 - B ^2 =(A+B) (A-B).. (*)

x^2 - 121=

x^2 - 11^2=(*)

(x+11)(x-11)

4 0
3 years ago
Read 2 more answers
C=wtc/1000 solve for w
Nutka1998 [239]
For this case we have the following equation:
 C =  \frac{wtc}{1000}
 To clear w, we must follow the following steps:
 1) The value of t multiplied by c pass to divide the other side of the equation:
 \frac{w}{1000} =  \frac{C}{tc}
 2) the value of 1000 is passed to multiply to the other side of the equation:
 w = \frac{1000C}{tc}
 Answer:
 
The cleared equation for w is:
 
w = \frac{1000C}{tc}
3 0
3 years ago
Read 2 more answers
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
What is the equation for two thirds of a full turn
wlad13 [49]
Full turn = 360 degrees
2/3 of a full turn.
So 1/3 of a turn is 120 degrees
Since it’s 2/3, you add another 120 to make 240
5 0
3 years ago
The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and
zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

V_c=\dfrac{1}{3}\pi r^2h

r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

So,

V_c=\dfrac{1}{3}\pi (3)^2\times 6\\\\V_c=18\pi\ cm^3

Let V_i is the volume of icecream in the cone. So,

V_i=\dfrac{18\pi}{2}=9\pi\ cm^3

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}

So, volume of icecream in the cone is :

V_c=\dfrac{1}{3}\pi (\dfrac{h}{2})^2(\dfrac{h}{3})\\\\9\pi=\dfrac{h^3}{12}\pi\\\\h^3=108\\\\h=4.76\ cm

or

h = 5 cm

So, the depth of the ice-cream is 5 cm.

8 0
3 years ago
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