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allsm [11]
2 years ago
8

Find the length of side BC. Give your answer to 3 significant figures. C A 71° B

Mathematics
2 answers:
lana66690 [7]2 years ago
5 0

Answer:

19.4°

Step-by-step explanation:

I put the image of how I did it if you don't understand let me know

Vikki [24]2 years ago
4 0

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

using the cosine ratio in the right triangle

cos71° = \frac{adjacent}{hypotenuse} = \frac{AB}{BC} = \frac{6.3}{BC} ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = \frac{6.3}{cos71} ≈ 19.4 cm ( to 3 sig. figs )

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What is the radius of a circle whose equation is x^2+y^2-10x+6y+18=0
hichkok12 [17]

to find the radius of x^2+y^2-10x+6y+18=0, we must complete the square:



x^2 - 10x + y^2 + 6y = -18


Then:


x^2 - 10x + 5^2 - 5^2 + y^2 + 6y + 9 - 9 = -18


Collecting all three constants on the right-hand side, r^2 = -18 + 25 + 9 = 16


Then r = +sqrt(16) = +4 (answer)



5 0
3 years ago
Please help- Geometry question!!
trasher [3.6K]

The arc length of AB = 8.37 meters

Solution:

Degree of AB (θ) = 60°

Radius of the circle = 8 m

Let us find the arc length of AB.

Arc length formula:

$\text { Arc length }=2 \pi r\left(\frac{\theta}{360^{\circ}}\right)

                  $=2 \times 3.14 \times 8\left(\frac{60^{\circ}}{360^{\circ}}\right)

                  $=2 \times 3.14 \times 8\left(\frac{1}{6}\right)

                  $=2 \times 3.14 \times 4\left(\frac{1}{3}\right)

Arc length = 8.37 m

Hence the arc length of AB is 8.37 meters.

5 0
3 years ago
What is 3.4 times 16?
Maru [420]

Answer:

54.4

Step-by-step explanation:

3.4*16=54.4

5 0
3 years ago
Read 2 more answers
determine the equation of the parabola (simplified) with roots -3+sqrt6 and -3-sqrt6, and passing through the point (-1,4)
klio [65]

Given:

Roots:

\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}

Point: (-1,4)

To determine the equation of the parabola with the given roots and point, we find the missing values first.

Since the roots are given, we can say that the equation is:

y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})

Next, we expand the terms.

y=a(x^2+6x+3)

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

\begin{gathered} y=a(x^2+6x+3) \\ 4=a((-1)^2+6(-1)+3) \\ \text{Simplify and rearrange} \\ 4=a(-2) \\ a=\frac{4}{-2} \\ a=-2 \end{gathered}

So,

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6 0
2 years ago
on a coordinate grid, her house is located at (1,2) and the park at (5,5) what is the shortest distance from her house to the pa
nadya68 [22]
To solve, use the distance formula: d= \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}. Using your values of x and y, you get d= \sqrt{(1+5)^2+(2+5)^2} = \sqrt{6^2+7^2} = \sqrt{36+49} = \sqrt{85}, which is approximately 9.22. This means your shortest distance is √85≈9.22
3 0
3 years ago
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