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Mkey [24]
2 years ago
13

PLEASE HELP! I have a picture of the question below :)

Mathematics
1 answer:
Charra [1.4K]2 years ago
6 0

3. ∠1+∠2=180° and ∠2+∠3=180°

4. they are supplementary

5. ∠1+∠2=180°=∠2+∠3

6. ∠1+∠2=180°=∠2+∠3

∠2 are same in both side so ∠1=180°-∠2 =∠3=180°-∠2

7.

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Maru [420]

Answer:

Step-by-step explanation:

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3 years ago
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If 1 meter = 100cm then what is the relationship between m3 and cm3?
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If the 1m turns into 3m then he cm increases also by 3.The 3 meters would equal 300 cm.
8 0
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Round this “0.7660444431”into 4 decimals places!!!!!
ANTONII [103]

Answer:

.7660

Step-by-step explanation:

when you get to 0 at 7660 you round with the number next to it if its 5 or bigger you add a one to the number since 4 isn't greater than or equal to 5 than your numbers stay the same

5 0
2 years ago
The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac
nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

\displaystyle A=\frac{1}{2}\pi r^2

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx

Substitute:

\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx

Simplify:

\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx

Integrate:

\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]

Evaluate:

\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3

The volume of the solid is π/40 cubic units.

4 0
3 years ago
Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (
Feliz [49]

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: (x + 7)^2 + (y - 10)^2 = 13^2

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

<u>Option A (5,12)</u>

When x=5, y=12

(5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2

<u>Option B (-7,-3)</u>

When x=-7, y=-3

(-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2

<u>Option C (-6,-10)</u>

When x=-6, y=-10

(-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2

<u>Option D (6,23)</u>

When x=6, y=23

(6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

4 0
2 years ago
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