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3 years ago

Plzzz help me with this

Mathematics

1 answer:

Illusion [34]3 years ago

5 0

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

You might be interested in

the radius of a gold atom is 1.35 angstroms. how many gold atoms would it take to line up a span of 8.5 mm?

serg [7]

The angstrom, also known as the angstrom unit, is a measure of displacement equal to 0.0000000001 meter (10 -10 m). It would be helpful to convert the units of angstrom to mm. We do as follows:

diameter = 2 x 1.35 x10^ -10 m ( 1000 mm / 1 m ) = 2.7 x 10^-10 mm / atom

Number of gold atoms = 8.5 mm / 2.7 x 10^-10 mm / atom = 31481481481.481 atoms

6 0

3 years ago

Read 2 more answers

A carpenter has a piece of wood that is 78 inches long. He wants to cut it so that one piece is five times as long as the other

Lyrx [107]

Answer:

13 and 65

Step-by-step explanation:

x + 5x = 78

(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)

6x = 78

x = 78 / 6

x= 13

(to counter check: 13 * 5 = 65.

65 + 13 = 78 )

7 0

3 years ago

Read 2 more answers

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

yKpoI14uk [10]

Answer:

Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)

Step-by-step explanation:

Confidence Interval can be calculated using the formula M±ME where

M is the mean of the sample
ME is the margin of error in a given confidence level

Using the sample obtained from 50 business travelers we get

Mean of the sample is 6.76
standard deviation of the sample is 2.526

Margin of error (ME) around the mean using the formula

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in 95% confidence level (1.96)

s is the standard deviation of the sample (2.526)

N is the sample size (50)

Using the numbers in the formula we get:

ME= $\frac{1.96*2.526}{\sqrt{50} }$ ≈ 0.70

Then the confidence interval becomes 6.76±0.70

6 0

3 years ago

A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c

nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

$\rm V = \pi r^2 h$

r = 10/2 = 5 FT

h = 12 FT

$\rm V = \pi (5)^2 \times 12$

V = 300π cubic FT

Volume of the cone:

$\rm v = \dfrac{\pi r^2 h}{3}$

$\rm v = \dfrac{\pi (5)^2 \times 12}{3}$

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

6 0

2 years ago

The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos

JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

Step(i):-

Given mean of the population = 500

Given standard deviation of the Population = 75

Let 'X' be the variable in normal distribution

$Z = \frac{x-mean}{S.D}$

Given X = $410

$Z = \frac{410-500}{75} = - 1.2$

Step(ii):-

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

= 0.5 - A( -1.2)

= 0.5 - A(1.2)

= 0.5 - 0.3849 ( ∵from normal table)

= 0.1151

Final answer:-

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0

3 years ago

Plzzz help me with this ​

Plzzz help me with this