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4 years ago

What is the measure of angle 1?

Mathematics

1 answer:

NeX [460]4 years ago

5 0

Sum of all exterior angles is 360°

75 + 120 + 60 + 65 + unknown = 360
unknown = 360 - 75 - 120 - 60 - 65
unknown = 40°

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Find the area of the shaded region.

earnstyle [38]

There are four parts of a circle, so you have to find out the area of the circle:-

10 cm=Radius

$10^{2}$ =100

$\pi$ =3.14

3.14*100=314 $cm^{2}$

Now, find the area of the square box:-

Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.

Area=S*S

=20*20=400 $cm^{2}$

Now subtract the area of the box from the area of the square:-

400-314= 86 $cm^{2}$

That is the area of the shaded part.

Happy to help you!

8 0

3 years ago

Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?

Galina-37 [17]

1.52 because it says tenths so

8 0

3 years ago

Find the slope of the tangent to the curve below at (-1,10)

pashok25 [27]

Answer:

- 8

Step-by-step explanation:

Note that $\frac{dy}{dx}$ is the slope of the tangent at x = a

Differentiate using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = 3x² - 2x + 5, then

$\frac{dy}{dx}$ = 6x - 2

x = - 1 : $\frac{dy}{dx}$ = 6(- 1) - 2 = - 6 - 2 = - 8

6 0

3 years ago

In the xy-plane, the graph of x2 − 4x + y2 − 6y = −8 is a circle. What is the radius of the circle?

Blizzard [7]

The center-radius form of the circle equation

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have:

$x^2-4x+y^2-6y=-8$

Use

$(a-b)^2=a^2-2ab+b^2\qquad(*)$

$x^2-2(x)(2)+y^2-2(y)(3)=-8\qquad\text{add}\ 2^2\ \text{and}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2-2(x)(2)+2^2}_{(*)}+\underbrace{y^2-2(y)(3)+3^2}_{(*)}=2^2+3^2-8\\\\(x-2)^2+(y-3)^2=4+9-8\\\\(x-2)^2+(y-3)^2=5\\\\(x-2)^2+(y-3)^2=(\sqrt5)^2\\\\Answer:\\\\\boxed{center:(2,\ 3)}\\\\\boxed{radius:r=\sqrt5}$

4 0

3 years ago

Directions: Determine wether the pair of lines are parallel perpendicular or neither

Irina18 [472]

Answer:

13. Neither

14. Parallel

15. Perpendicular

16. Perpendicular

4 0

2 years ago