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Sladkaya [172]
3 years ago
5

Help? Fraction? Triangle similarity.

7D%20" id="TexFormula1" title=" \frac{62}{15.5} x \frac{92}{x} " alt=" \frac{62}{15.5} x \frac{92}{x} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Over [174]3 years ago
8 0
62 / 15.5  = 92 /  x

to find x cross multiply:-

62x = 15.5 * 92
x =  (15.5*92) / 62
  = 23
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Write the slope intercept form of the equation through the given point with the given slope.
Sholpan [36]

Answer:

y = 3x - 4

Step-by-step explanation:

With the slope and a point, I can make an incomplete slope-intercept equation and solve for the y-intercept.

y=3x+b\\\\2=3(2)+b\\\\2=6+b\\\\2-6=6-6+b\\\\-4=b

The equation is:

y=3x-4

Hope this helps!

6 0
3 years ago
This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
The radius of a circle 6 cm what is the circles area?
dolphi86 [110]

Answer:

113.04 cm

Step-by-step explanation:

We know the formula to find the area of a circle is

A= pi(r^{2})

And we are told to use 3.14 instead of pi so what we have now is,

A=3.14(r^{2})

We are also told the radius, r, is 6. So our equation now looks like this,

A=3.14(6^{2})\\\\6^{2}is the same as 36, because 6x6 is 36.

Now we have,

A=3.14(36)  

Which equals 113.04 and that is the area!

Hope that helps and have a great day!

7 0
3 years ago
Melissa walked at a rate of 88 feet per minute. What was her approximate speed to the nearest tenth of a mile
Illusion [34]

88x60=5280

I believe it's 1 mile.

7 0
3 years ago
Read 2 more answers
A wooden board in the shape of a rectangular prism measures 0.3 m by 2.1 m by 0.1 m and has a mass of 0.07 kg.
Oksanka [162]
Density = Mass/Volume
D = M/V
D = 0.07/0.063
D = 1.111111111111111
 
Volume of a rectangular prism is WHL
Volume of a rectangular prism is <span>0.3 m * 2.1 m * 0.1 m
</span>Volume of a rectangular prism is 0.063
6 0
3 years ago
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