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3 years ago

Find the value of x in the triangle above please help ASAP!!

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

50 degrees because 50+50= 100 +80 = 180 and there is 180 degrees in a triangle

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A survey is being planned to determine the mean amount of time corporation executives watch television. a pilot survey indicated

Natali [406]

Missing question: How many executives should be surveyed?

Solution:
Mean = 13 hours
SD = 3 hours
Confidence level = 95%

Mean viewing time within a quarter of an hour = 0.25 = 1.96*3/sqrt (N)

Where N = Sample population

N = {(1.96*3)/0.25}^2 = 553.19 ≈ 554

Therefore, 554 executives should be surveyed to yield such results.

5 0

3 years ago

75(1+0.2/12)^10*12 what is the answer

Alchen [17]

Answer:

545.119

Step-by-step explanation:

75 * (1 + .2/12)^10 * 12

75 * (1.016667)^10*12

Now things get a little tricky. What does 10*12 mean? I'm taking it to mean 120

75 * (1.016667)^120

75 * 7.268

545.119

8 0

3 years ago

Read 2 more answers

Plsssssssssss just helppppp

yan [13]

Answer:

Step-by-step explanation:

The missing length is 10-4 = 6

Therefore perimeter = 5 + 6 + 8+ 4+13 +10

=46

3 0

3 years ago

Miguel has triple David's money, while Lisbeth has ten dollars less than David. The sum of their money totals $95. How much mone

ahrayia [7]

Answer:

Miguel has $63

Lisbeth has $11

David has $21

Step-by-step explanation:

let Miguel share be M

let Lisbeth share be L

let David share be D

from the question, we know that

M=3D

L=D-10.

M+L+D=95

thus,

3D+(D-10)+D= 95

3D+D-10+D= 95

5D-10 = 95

5D= 95+10

5D= 105

D= 105/5

D= 21.

thus,

M = 3D = 3×21

= $63

L = D-10 = 21-10

= $11

(63+21+11)$ = $95

3 0

3 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

2 years ago

Read 2 more answers