Find the missing side length of the right triangle shown. Round to the nearest tenth, if
necessary.

Answer:

8 inches

Step-by-step explanation:

3/4+(3/4*2)=3/4+6/4=9/4=2 1/4

2 1/4+6=8 1/4=8.25

Answer: 8.25 inches

Step-by-step explanation:

Answer:

304(pi) g

Step-by-step explanation:

First we find the volume of the hollow ball. Then we find the mass using the volume and density.

Let R = exterior radius = 3 cm

Let r = interior radius = 2 cm

volume = exterior volume - interior volume

volume = (4/3)(pi)R^3 - (4/3)(pi)r^3

volume = (4/3)(pi)(R^3 - r^3)

volume = (4/3)(pi)(3^3 - 2^3) cm^3

volume = (4/3)(pi)(27 - 8) cm^3

volume = (76/3)pi cm^3

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 12 g/cm^3 * (76/3)pi cm^3

mass = 304(pi) g

Answer: 304(pi) g

Answer:

m=(76π/3 )(12)=304πg

Step-by-step explanation:

volume of sphere=(4πr³)/3

V=4π(2)³/3=32π/3 of the interior

V of exterior=4π(3)³/3=36π

Volume of the whole metal =108π/332π/3=76π/3=25 1/3 π

m=V*D ( volume * density)=

m=(76π/3 )(12)=304πg

Answer:

  [tex]\dfrac{3(6)-1}{2(6)+1}[/tex]

Step-by-step explanation:

For ...

The expression (r/s)(6) is ...

  [tex]\left(\dfrac{r}{s}\right)(6) = \left.\dfrac{3x-1}{2x+1}\right|_{x=6}=\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

This is the graph I inputted into desmos.

Step-by-step explanation:

Next time, using a graphing calculator will work! However, making a table for the x and y outputs will also make it easier to graph points.

For example: see attached image of table.

Answer:

a

Step-by-step explanation:

If the lines DE and BC were parallel then

Δ ADE and Δ ABC would be similar and the ratios of corresponding sides would be equal, that is

[tex]\frac{AD}{AB}[/tex] = [tex]\frac{AE}{AC}[/tex] , substituting values

[tex]\frac{4}{10}[/tex] = [tex]\frac{6}{14}[/tex]

but

[tex]\frac{4}{10}[/tex] ≠ [tex]\frac{6}{14}[/tex]

That is 4 : 10 ≠ 6 : 14 → a

Answer:

Step-by-step explanation:

v = πr²h

To make h the subject divide both sides by πr²

So we have

[tex]h = \frac{v}{\pi {r}^{2} } [/tex]

when

π = 22/7

r = 7

v = 616

We have h as

[tex]h = \frac{616}{ \frac{22}{7} \times {7}^{2} } = \frac{616}{ \frac{22}{7} \times 49} [/tex]

[tex]h = \frac{616}{22 \times 7} = \frac{616}{154} [/tex]

Hope this helps you

Answer:

4 miles

Step-by-step explanation:

Solution:-

- This question pertains to special right angle triangles.

- This requires the use of special angles like ( 30°, 45°, 60° ) for all three trigonometric ratios that give us exact answers in the form of radicals.

- We will make a table of all three trigonometric ratios for the 3 special angles given above as follows:

                          30°           45°            60°

     sin               1/2           1/√2        √3 / 2

      cos           √3 / 2        1/√2           1/2

      tan             1 /√3          1              √3

- Now take a look at the figure and determine the appropriate trigonometric ratio that could be used to determine the distance ( q ). We are given an opposite angle ( θ = 45° ) and hypotenuse of the right angle triangle ( H = 4√2 mi )

- We see that the sine ratio is the most appropriate which can be written as:

                       sin ( θ ) = q / H = q / 4√2

                       sin ( 45° ) = q / 4√2  

                       q = 4√2  *  sin ( 45° )   ... Use above table for sin ( 45° )

                       q = 4√2  *  [ 1 / √2 ]

                       q = 4 miles  ... Answer

The definition of sin is the opposite/hypotnuse and since the hypotnuse has to be greater or equal to the other sides, the maximum possible value of sine is 1.

Answer:

b

Step-by-step explanation:

rise over run

Answer: b

Step-by-step explanation:

Step-by-step explanation:

Only Q4 has clear details

therefore, solving Question 4,

1 euro = $1.17

then,  €20.46 =20.46×1.17 = $23.93.

1 pound =1.28 dollars.

then,  £12.60 = 12.60×1.28 =$16.128

therefore, MP3 in pound is cheaper in dollar by $7.81.

Answer:

[tex]\frac{20}{25}[/tex]

Step-by-step explanation:

See Attachment for Complete Question

Given

[tex]Ratio = \frac{12}{15}[/tex]

Required

Determine its equivalent proportion

[tex]Ratio = \frac{12}{15}[/tex]

Factorize the given expression

[tex]Ratio = \frac{3 * 4}{3 * 5}[/tex]

Divide the numerator and denominator by 3

[tex]Ratio = \frac{4}{5}[/tex]

We apply the same steps to the given options as follows:

1.

[tex]Ratio = \frac{21}{28}[/tex]

Factorize

[tex]Ratio = \frac{7 * 3}{7 * 4}[/tex]

Divide the numerator and denominator by 7

[tex]Ratio = \frac{3}{4}[/tex]

This is not an equivalent proportion of [tex]\frac{12}{15}[/tex]

2.

[tex]Ratio = \frac{20}{25}[/tex]

Factorize

[tex]Ratio = \frac{5 * 4}{5 * 5}[/tex]

Divide the numerator and denominator by 5

[tex]Ratio = \frac{4}{5}[/tex]

This is equivalent to [tex]\frac{12}{15}[/tex] because they both simplify to [tex]\frac{4}{5}[/tex]

There's no need to check the last option;

Hence, the option that answers the question is [tex]\frac{20}{25}[/tex]

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

Hey there! I'm happy to help!

To find the volume of a cylinder, you multiply the base by the height and then divide by three. The volume of a cone is the same as the volume of a cylinder with the same dimensions divided by three.

So, since a cone's volume is 1/3 of that of a cylinder, we just divide 72 by 3!

72/3=24

Therefore, the volume of the cone is 24 feet cubed.

Have a wonderful day! :D

Answer: its 24.

Step-by-step explanation:

Answer:

[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]

This can be expressed in 2 parts as

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 10 ( divide both sides by 3 )

x = [tex]\frac{10}{3}[/tex]

and

[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )

2y = 15 ( divide both sides by 2 )

y = [tex]\frac{15}{2}[/tex]

Thus

[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )

[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]

Answer:

= 4/9

Step-by-step explanation:

2/3 to the averall of 2/3 ans we got 5/y

sp ab- x/5 = 4/9

Answer:

y-x

Step-by-step explanation:

I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.

Answer:

73 degrees

Step-by-step explanation:

Given

A Shaped Frame of two congruent sides

Required

Determine the angle made with the ground

Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;

Let the two angles made with the ground be represented by x

Angles in a triangle when added equals 180;

Hence;

[tex]x + x + 34 = 180[/tex]

[tex]2x + 34 = 180[/tex]

Subtract 34 from both sides

[tex]2x + 34 - 34 = 180 - 34[/tex]

[tex]2x = 180 - 34[/tex]

[tex]2x = 146[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{146}{2}[/tex]

[tex]x = \frac{146}{2}[/tex]

[tex]x = 73[/tex]

Hence, the angle with the ground is 73 degrees

Answer:

86.7

Step-by-step explanation:

Answer:

86.7%

Step-by-step explanation:

Correct on Edge2020

Answer:

20/29

Step-by-step explanation:

SOH CAH TOA

so its opposite/hyp...

20/29

is the answer

Answer:

Step-by-step explanation:

inequality is a equation with |x|

a inequality equation is like this..

|x|>7

Answer:

The correct answer is option:

D) ΔABC and ΔA″B″C″ are congruent triangles.

Step-by-step explanation:

Given

To find: The true statement among the given options.

Solution:

Let the triangle be situated in 1st quadrant.

It is rotated about the origin by [tex]270^\circ[/tex].

Now, it moves towards quadrant 2 if it is rotated clockwise. It is termed as

[tex]\triangle A'B'C'[/tex].

It is given that now it is translated 10 units upwards. i.e. 10 units added to x coordinate of each vertex to form [tex]\triangle A''B''C''[/tex].

Now, we can see that there is no change in the dimensions of the triangle. We are just changing the location of the triangle.

So, all its angles will be equal to each other and all the sides will be equal to each other.

i.e.

[tex]\angle A = \angle A''\\\angle B = \angle B''\\\angle C = \angle C''\\Side\ AB = Side\ A''B''\\Side\ BC = Side\ B''C''\\Side\ AC = Side\ A''C''[/tex]

Hence, the correct option is:

D)ΔABC and ΔA″B″C″ are congruent triangles.

Answer:A-B

Step-by-step explanation:

An appropriate name for EHC and CHJ is alternate interior angles.

Alternate interior angles are the angles formed when a transversal intersects coplanar strains. They lie on the inner side of the parallel lines but on the opposite facets of the transversal.

Except the exchange indoors vertical angles are 90° then they may no longer upload as much as 180°. If the exchange indoors angles are obtuse, then adding them collectively will bring about quite a number higher than 180°. consequently, if the alternate interior angles are acute, then including them together will bring about various beneath 180°.

Learn more about alternate interior angles here https://brainly.com/question/20344743

#SPJ2

Answer:

x = 3.25

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

...and is the order of operation.

First, subtract 3 from both sides of the equation:

4x + 3 = 16

4x + 3 (-3) = 16 (-3)

4x = 16 -3

4x = 13

Next, dvide 4 from both sides:

(4x)/4 = (13)/4

x = 13/4

x = 3.25

x = 3.25 is your answer.

~

Answer:

x = 3.25

Step-by-step explanation:

4x + 3 = 16

4x + 3 - 3 = 16 - 3

4x = 13

4x/4 = 13/4

x = 3.25

In the language of modular arithmetic, we're given

[tex]x-3\equiv0\pmod7\implies x\equiv3\pmod7[/tex]

[tex]y+3\equiv0\pmod7\implies y\equiv-3\equiv4\pmod7[/tex]

Then x = 7a + 3 and y = 7b + 4 for integers a and b.

Substitute these into the quadratic expression and simplify:

[tex]x^2+xy+y^2+n\equiv0\pmod7[/tex]

[tex](7a+3)^2+(7a+3)(7b+4)+(7b+4)^2+n\equiv0\pmod7[/tex]

[tex]49a^2+42a+9+49ab+28a+21b+12+49b^2+56b+16+n \equiv 0\pmod7[/tex]

[tex]37+n\equiv 0\pmod7[/tex]

[tex]n\equiv-2\equiv5\pmod7[/tex]

which means the smallest positive integer n we are looking for is 5.

Answer:

n = 60.22

Step-by-step explanation:

Hello

To find Sn, we need to draw out equations for each a₇ and a₁₉

In an arithmetic progression,

Sn = a + (n-1)d

Where Sn = sum of the A.P

a = first term

d = common difference

a₇ = 32

32 = a + (7-1)d

32 = a + 6d ........equation (i)

a₁₉ = 140

140 = a + (19-1)d

140 = a + 18d .........equation (ii)

Solve equation (i) and (ii) simultaneously

From equation (i)

32 = a + 6d

Make a the subject of formula

a = 32 - 6d .....equation (iii)

Put equation (iii) into equation (ii)

140 = (32 - 6d) + 18d

140 = 32 - 6d + 18d

Collect like terms

140 - 32 = 12d

12d = 108

d = 108 / 12

d = 9

Put d = 9 in equation (i)

32 = a + 6(9)

32 = a + 54

a = 32 - 54

a = -22

When Sn = 511

Sn = a + (n - 1)d

Substitute and solve for n

511 = -22 + (n-1) × 9

511 = -22 + 9n - 9

511 = -31 + 9n

511 + 31 = 9n

542 = 9n

n = 542 / 9

n = 60.22

Answer:

16 and 24 ft

Step-by-step explanation:

If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:

x + x + 8 = 40

2x + 8 = 40

2x = 32

x = 16 so x + 8 = 16 + 8 = 24.

Answer:

24 and 16

Step-by-step explanation:

x + x+8=40

2x+8=40

2x=32

x=16

16 and 24

Answer:

$947

Step-by-step explanation:

12,000(1 + .05/1)^(15*1) = $24,947.14

12,000 + (12,000*.07*15) = $24,600

difference is $947

Answer:

m∠DEA = 62°

m∠ADB (arc) = 194°

Angle ∠ADB   = 21°.

Step-by-step explanation:

The given information are;

[tex]AB\left | \right |DC[/tex], m CB (arc) = 62°, m∠DAB (arc) = 104°

arc∠BCD = 360° - 104° = 256°

m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)

Therefore DC (arc) = 194°

m DA ≅ m CB =  62° (Parallel lines congruent arc theorem. Arc between two parallel lines)

m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°

m∠DEA = 62°

Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°

m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)

∴  m∠ADB (arc) = 360 - 104 - 62 = 194°

m∠ADB (arc) = 194°

Angle ADB = subtended by arc AB = ∴1/2×arc AB

Angle ∠ADB  = 42/2 = 21°.

Angle = 21°

Answer:

k=5

a= -5

Step-by-step explanation:

if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a

Solution

x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a

We have,

(4k-25+16-2k)x+[10-k(8-k)] = x+a

(2k+9)x + (10-8k+k^2)=x+a

2k-9=1

2k=1+9

2k=10

Divide both sides by 2

2k/2=10/2

k=5

And

10-8k+k^2=a

10-8(5)+(5^2)=a

10-40+25=a

-5=a

Therefore, a=-5

x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~`

You added no fraction so i thought you wanted the definition

Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

Hope this helped you. Brainliest wouldbe nice!

Answer:

E. x = -1.

Step-by-step explanation:

The rational expression will only be undefined when a number is divided by 0. In this case, the expression will be undefined when the denominator equals 0. So, when x + 1 = 0.

x + 1 = 0

x = -1

E. -1 is your answer.

Hope this helps!

Answer:

D. -2 and B. -5

Step-by-step explanation: you can't have a negatie denominator/