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Oksi-84 [34.3K]
2 years ago
15

Please help I don’t understand!

Mathematics
1 answer:
Olenka [21]2 years ago
8 0

Answer:

16.7552

Step-by-step explanation:

The Area of a sector of a circle is θ/360 pi r²

so,

30/360 x 3.142 x 8 x 8

= 16.7551 to four decimal places is

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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
Sati [7]

<u>Answer-</u>

<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>

<u>Solution-</u>

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are  J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117

As,

\Rightarrow 117=81+36

\Rightarrow JL^2=JK^2+KL^2

\Rightarrow \text{JKL is a right angle triangle}

\Rightarrow \angle K=90^{\circ}

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0
3 years ago
A metal bar 36 inches long is to be cut into pieces 3/2 inches
Makovka662 [10]

Answer:

6

Step-by-step explanation:

To make this easier i like to turn my length into a fraction with the same denominator

36/1= 18/2

18/2 divided by 3/2 equals 6

6 total pieces

Hope this was helpful

Please mark brainliest!

;p

6 0
3 years ago
Read 2 more answers
Solve for y. 6 x + 2y = z​
vaieri [72.5K]
The answer to this question is 7
5 0
3 years ago
Read 2 more answers
I don't understand this very much, but if someone could give me an explanation, that would be appreciated! ×·×∡
Rama09 [41]

Answer:

<em>119.0 cm²</em>

Step-by-step explanation:

What is surface area

It is the area of the outside part of anything. Surface area is also called total surface area.

As we can see from the pyramid, it has a square base. How do I know that it is a square base, is by seeing the dimensions of the base, which are 6.4 cm by 6.4 cm in this pyramid. And we already know from basic Geometry that a square has 4 equal sides. So we call it a square pyramid.

So to find the total surface area of this square pyramid, we need the area of the 4 triangular faces and the area of the square base.

So t.s.a of the pyramid = 4 × Area of each triangular face + Area of the square base.

So, total surface area = Area of square base + Area of the four triangular faces.

     <em>total surface area</em> = (<em>length²) + (</em>4 × \frac{1}{2} × <em>base × height)</em>

<em>      t</em><em>otal surface area =</em><em> </em>(6.4 × 6.4) + (4 × \frac{1}{2} × 6.4 × 6.1)

     <em>total surface area = 40.96 + 78.08</em>

<em>      total surface area = 119.04 cm² ≈ 119.0 cm² (to the nearest tenth) (Answer)</em>

5 0
2 years ago
Read 2 more answers
Find the probability that either event a or b occurs if the chance of a occurring is .5, the chance of b occurring is .3, and ev
Evgesh-ka [11]
Then the probability is
P(a)+P(b)-P(a&b)
0.5+0.3-0.5*0.3=0.8-0.15=0.65
7 0
3 years ago
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