2 years ago

Find the value of x and y

Mathematics

1 answer:

LekaFEV [45]2 years ago

4 0

Answer:

x = 30, y = 15

Step-by-step explanation:

x = 2*15 = 30

(Central angle is twice the inscribed angle standing on the same arc.)

Similarly,

y = 15

(Base angles of isosceles triangle are equal)

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The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate th

Harlamova29_29 [7]

Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

Step-by-step explanation:

Given: For lid of the spherical shaped bottle,

Diameter = 5 cm

Height = 4.5 cm

Radius = Half of diameter = 2.5 cm

Volume of cone = $\dfrac13\pi r^2 h$

Volume of lid $=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3$

Surface area of cone = $\pi r\sqrt{h^2+r^2}$ [as lide has no base we don't include area of base.]

Surface area of lid = $(3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3$

Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

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3 years ago

Each paper clip is 7\8 of an inch long and costs $0.03. Exactly enough paper clips are laid end to end to have a total length of

yawa3891 [41]

56 inches ÷ $\frac{7}{8}$

= 56 ÷ .875 = 64 paper clips will be needs (.875 is the same as 7/8)

64 x .03 = $1.92

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2 years ago

2.5 quarters weigh approximately 1 ounce. How many pounds would you expect a

vichka [17]

Answer:

1.5 pounds

Step-by-step explanation:

$15=60 quarters

2.5x16 = 40 quarters per pound

60/40 = 1.5 pounds

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3 years ago

two angles are supplementary the first angle measures 40 degrees what is the measurement of the second angle

pogonyaev

Supplementary angles add up to 180
40+x=180
x=140

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