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olga_2 [115]
3 years ago
10

What is BC? Enter your answer in the box _units

Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

<h2>BC = 25</h2>

Step-by-step explanation:

It's an isosceles triangle (congruent angles ∠C ≅ ∠B).

Therefore AC = AB.

We have the equation:

4x+1=2x+23        <em>subtract 1 from both sides</em>

4x=2x+22       <em>subtract 2x from both sides</em>

2x=22          <em>divide both sides by 2</em>

x=11

Substitute the value of <em>x</em> to the expression BC = 3x - 8:

BC = 3(11) - 8=33-8=25

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Suppose the line of best fit is being found for some points that have an r-value of 0.769. If the standard deviation of the x-co
jeyben [28]

r value i.e Correlation between x value and y value = 0.769

A_{x}=Standard deviation of the x-coordinate = 5.508

 A_{y}=Standard deviation of the y-coordinate = ?=k

Slope of line is given by formula

If slope of line is m, then

m = r\times \frac{ A_{x}}{A _{y}}

m= 0.769 \times \frac{k}{5.508}

Substitute the value of k, i.e Standard deviation of the y-coordinate and then you can get the slope of line to three decimal places.

7 0
3 years ago
A cube-shaped tank that measures 4.64.6 meters on each side is full of water. If some water is drained to fill a cone with a hei
rusak2 [61]

Answer:

The amount of water left in the tank is approximately 58.1 cubic meters

Step-by-step explanation:

step 1

Find the volume of the a cube shape tank

The volume is equal to

V=b^{3}

we have

b=4.6\ m

substitute

V=4.6^{3}=97.336\ m^{3}

step 2

Find the volume of cone

The volume is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=2.5\ m

h=6\ m

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2.5)^{2}(6)

V=39.25\ m^{3}

step 3

Find the difference of the volumes

97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}

3 0
3 years ago
Is 8.5 x 10^-5 scientific notation
nlexa [21]

Answer: 00008.5

Step-by-step explanation:

4 0
3 years ago
A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.
Alenkinab [10]

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

3 0
2 years ago
What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common
Mila [183]

Answer:

LCM of 5, 10, and 12 is 60

6, 10, and 12 is 60

2, 4, and 9 is 36

6 0
3 years ago
Read 2 more answers
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