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inn [45]
3 years ago
6

Find the measure of each angle in the isosceles trapezoid

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0
R = S = 82
360 - 82 - 82 = 196
196/2 = 98

Q = T = 98

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
Write an expression with parenthesis to represent the quantity: 170 divided by the sum of 25 and 9
zavuch27 [327]
Using parenthesis, we want to add 25 and 9 first before dividing.

170/ (25+9)
3 0
3 years ago
What is the constant of proportionality for the graph?
Lelechka [254]

Answer:

k = 5

Step-by-step explanation:

y = kx

10 = 2k

k = 5

3 0
2 years ago
The figure shows two parallel lines KL and NO cut by the transversals KO and LN.
Sever21 [200]

Answer:

(A)  

Step-by-step explanation:

From the given figure, we have to prove whether the two given triangles are congruent or similar.

Thus, From the figure, ∠3=∠4 (Vertically opposite angles)

Since, KL and NO are parallel lines and KO and LN are transversals, then

measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).

Thus, by AA similarity rule, ΔKLM is similar to ΔONM.

Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.

8 0
2 years ago
Read 2 more answers
What is their least common multiple
Aleks [24]

Answer:

The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD). For two integers a and b, denoted LCM (a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM (2,3) = 6 and LCM (6,10) = 30.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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