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3 years ago

The length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10.

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer:

The answer is "9"

Step-by-step explanation:

Given value:

length of trapezoid = 44

Another length = 2x+10

median = 36

formula:

median =(first length + second length) /2

$36 = \frac{(44+ 2x+10)}{2}\\\\ 36 = \frac{54+2x}{2}\\\\36 \times 2 = 54 +2x\\\\72 =54 +2x\\\\2x= 72-54\\\\2x= 18\\\\x= 9$

Read more about functions at:

brainly.com/question/1415456

#SPJ4

5 0

1 year ago

3cis(5pi/4) in polar form

madreJ [45]

Rectangular form:
z = -2.1213203-2.1213203i

Angle notation (phasor):
z = 3 ∠ -135°

Polar form:
z = 3 × (cos (-135°) + i sin (-135°))

Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)

Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)

Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034

8 0

2 years ago

In a survey, 60% of interviewees say they like beach sports, while 55% like mountain sports. If 20% like both, what fraction of

My name is Ann [436]

Answer:

0.05

Step-by-step explanation:

To solve this problem, we first need to calculate the percentage of people that like beach or mountain sports.

This percentage can be calculated with the formula:

P(M or B) = P(M) + P(B) - P(M and B)

where:

P(M or M) is the percentage of people that like beach or mountain sports,

P(B) is the percentage of people that like beach sports,

P(M) is the percentage of people that like mountain sports,

P(B) is the percentage of people that like beach and mountain sports.

Then:

P(M or B) = 0.55 + 0.60 - 0.20 = 0.95

95% of the people like mountain or beach sport. Now, to find the percentage of people that like neither, we just need to make 1 minus the percentage of people that like beach or mountain sports:

P(Neither) = 1 - P(M or B) = 1 - 0.95 = 0.05

0.05 or 5% of the people interviewed like neither of these sports.

7 0

2 years ago

Read 2 more answers

A and b are positive integers and a–b = 3. Evaluate the following:

yulyashka [42]

1/27

125

Step-by-step explanation:

Given that,

a - b = 3

9^(1/2b) /3^a = 3^(2/2b) /3^a

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)

= 5^a/5^b

= 5^(a- b)

= 5^3

= 125

6 0

3 years ago

Latoya does a weekly exercise program consisting of cardiovascular work and weight training, fach week, she exercises for at lea

rewona [7]

Answer:

こんにちは詐欺で申し訳ありませんが、私は選択の余地がありません。こんにちは詐欺で申し訳ありませんが、私は選択の余地がありません。こんにちは詐欺で申し訳ありませんが、私は選択の余地がありません。

5 0

2 years ago