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2 years ago

Questions that are circled with work please

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

Longer sides have longer angles. So the side length corresponds with the angle size.
For example in 16 (that is the only one I can see properly), angle C is the largest. That means that the side facing it will be the largest. So side AB will be the largest, then BC and AC in that order because angle A is greater than angle B.
Hope this helps.

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The Greek mathematician Eratosthenes (ca. 276-195 BC) measured the circumference of the earthfrom the following observations. He

denpristay [2]

Answer:

Radius of the Earth is 3978.8 Miles

Circumference of the Earth is 25000 Miles

Step-by-step explanation:

The angle of the sun shone at an angle of 7.2° to the zenith

This means that the angle of the sector of the circle is 7.2° (θ)

S = Length of the sector of the circle = 500 miles

r = radius of earth

Converting 7.2° to radians

$\theta =7.2\frac{\pi}{180}$

$S=r\theta\\\Rightarrow r=\frac{S}{\theta}\\\Rightarrow r=\frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow r=3978.8\ Miles$

∴ Radius of the Earth is 3978.8 Miles

$C=2\pi r\\\Rightarrow C=2\times \pi \frac{500}{7.2\frac{\pi}{180}}\\\Rightarrow C=25000\ Miles$

∴ Circumference of the Earth is 25000 Miles

5 0

3 years ago

An angle that shares the same sign value of an angle that measures 5pi over 4 radians is located where

ICE Princess25 [194]

Quadrant IV is the answer.

7 0

2 years ago

Write an equation to solve for x 3x + 21 6x-60 will mark brainiest

Maru [420]

Answer:

Step-by-step explanation:

parallel angles are equal:

so the equation is to equates each side

3x + 21 = 6x - 60

8 0

3 years ago

F(x)=(4t^2-t) (t^3-8t^2+12) in product rule.<br>

gavmur [86]

$\dfrac{d}{dt} [(4t^2-t)(t^3 -8t^2+12)]\\\\\\=(4t^2-t)\dfrac{d}{dt}(t^3-8t^2 +12) + (t^3 -8t^2 +12) \dfrac{d}{dt} (4t^2 -t)\\\\\\=(4t^2 -t)(3t^2-16t)+(t^3-8t^2+12)(8t-1)\\\\=12t^4-64t^3 -3t^3+16t^2+8t^4-64t^3+96t-t^3+8t^2-12\\\\=20t^4-132t^3+24t^2+96t-12$

6 0

1 year ago

Find the coordinates of the circle and the radius y²+2x+x²-24y= -120

riadik2000 [5.3K]

We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120

Group terms that contain the same variable
(y²-24y)+(x²+2x)=-120

Complete the square twice. Remember to balance the equation by adding the same constants to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1

<span>Rewrite as perfect squares</span>

(y-12)²+(x+1)²=25

(x+1)²+(y-12)²=5²

the answer is
the coordinates of the center are (-1,12)
the radius is 5 units

3 0

2 years ago