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4 years ago

PLEASE ANSWER ASAP 20 POINTS

Mathematics

1 answer:

Schach [20]4 years ago

6 0

X=7. The two segments on the bottom as well as on the diagonal are the same length. This shows that the entire triangle and the inner triangle on the right are similar. So if we call the length of the bottom 2y, then 84/2y=6x/y. Solving this we get 84=12x, and so x=7

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consider a circle with a radius of 10 centimeters. What is the length of the arc that measures 60° for the given circle.

Kobotan [32]

Answer:

3 1/3π

Step-by-step explanation:

First, you have to find the circumference. The circumference, based on the equation of 2rπ, comes out as 20π. Since you have to find the length of the arc that is 60 degrees, divide 60 by 360 to see how much of the circle 60 degrees is. It results in 1/6, so then you simply have to multiply 20π by 1/6.

7 0

3 years ago

Due tomorrow plz help. D-F3

Nostrana [21]

D.
slope = -3
passing thru(4,3)
y = mx + b
3 = -3(4) + b
b = 15

equation
y = -3x + 15

E.
(4,5)(6,9)
slope = (9-5)/(6-4) = 4/2 = 2
passing thru (4,5)(6,9)
y = mx + b
5 = 2(4) + b
b = -3

equation
y = 2x - 3

8 0

3 years ago

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

4 years ago

The quotient of 6 times a number and 16

alexandr1967 [171]

6x=16
÷6 both sides
x=16/6 or 8/3

4 0

3 years ago

A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations. Thi

Aleks04 [339]

Answer:

Observational study

Step-by-step explanation:

There are 3 types of statistical study:

1) Experimental: Under this, any experiment is done on a certain group of population.

2) Observational: Under this study, the events are observed regularly and the record is made.

3) Survey : Under this study, a survey is conducted with a a group of population and the record is made.

According to question, A meteorologist keeps hourly temperature records over the course of several years in order to look for long-term variations, this is an example of <u>observational study</u>.

4 0

3 years ago