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tiny-mole [99]
2 years ago
8

Given \qquad \overline{OA}\perp\overline{OC} OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overli

ne \qquad m \angle AOB = 6x - 12^\circm∠AOB=6x−12 ∘ m, angle, A, O, B, equals, 6, x, minus, 12, degrees \qquad m \angle BOC = 3x + 30^\circm∠BOC=3x+30 ∘
Mathematics
1 answer:
HACTEHA [7]2 years ago
5 0

Answer:

Step-by-step explanation:

If OA is perpendicular to OC, then <OAC = 90°

<OAC = <AOB + <BOC

Given

<AOB = 6x-12

<BOC = 3x+30

On substituting this values into the formula:

6x-12+3x+30 = 90

9x+18 = 90

Subtract 18 from both sides

9x+18-18 = 90-18

9x = 72

x = 72/9

x = 8°

Since <AOB = 6x-12

<AOB = 6(8)-12

<AOB = 48-12

<AOB = 36°

Also <BOC = 3x+30

<BOC = 3(8)+30

<BOC = 24+30

<BOC = 54°

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zimovet [89]

Step-by-step explanation:

Cost of 5 books = $ 36.25

Cost of 1 book = $36.25 / 5 = $ 7.25

The unit price is $ 7.25

Hope it will help :)

7 0
3 years ago
If the area of a square is 32 ft2, how long is its diagonal?
Tema [17]

Diagonal = 8

D=diagonal

A=area

A=D^/2

32=D^/2

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cross multiplication

32x2=D^x1

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7 0
2 years ago
PLEASE HELP ME.Math work: The Head Chef has asked you to create a delicious baked dessert that will have the same volume if it i
nikklg [1K]

Answer:

Large baking dish of cylinder, cone and sphere.

Step-by-step explanation:

When we compute the volume of each of the small and large baking dish taking \pi=3.14, we get

Volume of cylinder (small dish)= \pi(r^2)(h)

                                                  =3.14(\frac{3}{2})^2*3

                                                  = \frac{3.14*9*3}{4}

                                                 = 21.195

Volume of cylinder (large dish)= \pi(r)^2(h)= 3.14*(3)^2(3)

                                                  =84.78

Similarly, volume of cone (smaller dish)= \frac{1}{3} \pi r^{2} h

                                                            = 7.065

Volume of cone (larger dish)= 84.78

Volume of sphere(smaller dish)= \frac{4}{3} \pi r^{3}

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Volume of sphere (larger dish) = 85.17 (approx)

Hence, we get that larger baking dish have approximately same volume.

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3 years ago
Find x, y, and z.<br><br> Show all of your work for full credit.
Stella [2.4K]
If you can't read it, I'll do my best to translate:
Z) 10^2 + 5^2 = 125
√125 = 11.18 = Z

Y) tan-1(5/10) = 26.57°
90 + 26.57 = 116.57
180 - 116.57 = 63.43°
5 ÷ sin(63.43) = 8.88 = Y

X) 11.18^2 + 8.88^2 = 203.8468
√203.8468 = 14.28
14.28 - 10 = 4.28 = x

All numbers are rounded to 2 decimal places, if you need any explanations for why I did something then just let me know :)
I hope this helps!

7 0
3 years ago
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KATRIN_1 [288]

Answer:

Step-by-step explanation:

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8 0
3 years ago
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