The radius of a circle is 5 miles. What is the length of a 135° arc?

Answer:

x = 7

y = 7√3

Step-by-step explanation:

Formulas : -

sin θ = opposite side / hypotenuse

When θ = 60,

Opposite side = y

Hypotenuse = 14

sin 60 = y / 14

√3 / 2 = y / 14

y = √3 x 14 / 2

= √3 x 7

y = 7√3

When θ = 30,

Opposite side = x

Hypotenuse = 14

sin 30 = x / 14

1 / 2 = y / 14

x = 1 x 14 / 2

= 1 x 7

x = 7

Note : -

The value of,

sin 30 = 1 / 2

cos 60 = 7√3

A train is moving at a uniform speed of 80 kilometre per hour.

a) how far will it travel in 15 minutes

b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.

a)

Given that the train is moving at a uniform speed of 80 km/h.

Time taken = 15 minutes

First we will convert the time

[tex] \small \sf Time \: taken = 15 min = \dfrac{ \cancel{15}}{ \cancel{60}}hr = \dfrac{1}{4}hr [/tex]

Now we will calculate the distance

We know,

[tex] ✪ \: \small\boxed{ \frak{ {Distance }= {Speed} × Time }}[/tex]

Substituting the values in the given formula

[tex] \small\sf{ Distance = \cancel{ 80} \: \: 20 \: km/ \cancel{ hr} × \dfrac{1}{ \cancel{4}} \cancel{hr} =20km }[/tex]

Distance covered in 15 minutes = 20 km

[tex] \rule {40mm}{2pt}[/tex]

b)

Given that the train is moving at a uniform speed of 80 km/h.

Distance covered = 250 km

Calculating the time

We know,

[tex] ✪ \: \small\boxed{ \frak{ Time = \dfrac{Distance}{Speed}}}[/tex]

Substituting the values in the given formula

[tex] \small\sf{ Time = \dfrac{250 km}{80 km/hr} =3 \: hrs \: 20 \: mins }[/tex]

[tex] \star \: \small\sf{ Final \: Answer }[/tex]

[tex] ••═════════════••══════[/tex]

Answer: Its D

Step-by-step explanation:

Thank me later.

Answer:

D

Step-by-step explanation:

4x - 12 - x  ≥ 3

Add 12 to both sides.

4x - x ≥ 15

Subtract x (or 1x) from 4x

4x - x = 3x

3x ≥ 15

Divide both sides by 3.

x ≥ 5

Hope I helped :)

Please consider Brainliest :)

Answer:

a, b, c  are all equations  d non equation

Step-by-step explanation:

Answer:

a. False

b. True

c. True

d. False

Step-by-step explanation:

a. Is false because it says the equivalent ratios of centimeters and feet. When it is comparing centimeters and inches

b. Is true because the unit rate in this double number line is 2.54 centimeters per inch

c. Is true because it shows on the double number line that 6 inches is equal to 15.54 centimeters

d. Is false, although the fact that 0.039 inches are in a centimeter is true, it does not show that rate in the double number line

I hope this helps :)

Answer:

a. True

b. True

c. True

d. False

Step-by-step explanation:

a. 30.48 centimeters is equal to one foot (12 inches)

b. The unit rate means how many centimeters per inch

c. 6 inches on the number line is equal to 15.24 centimeters

d. If you divide 1 by 2.54 the answer is 0.39 not 0.039

Answer:

The STO button stands for store so it will save the number in the memory and to get it back press m

Answer:

  42°, 48°

Step-by-step explanation:

Complementary angles have a sum of 90 degrees. This lets us write the relation ...

  x + (x +6) = 90 . . . . . where x represents the angle; x+6 is its complement

  2x = 84 . . . . . . . collect terms, subtract 6

  x = 42 . . . . . divide by 2

  x +6 = 48 . . . . find the complementary angle

The two angles are 42° and 48°.

Answer:

( 5, 3/2 )

x = 5

y = 3/2

Step-by-step explanation:

5x - 4y = 19

x + 2y = 8

-------------------

2(x + 2y = 8) = 2x + 4y = 16

----------------------

5x - 4y = 19

2x + 4y = 16

7x = 35

÷7    ÷7

x = 5

-----------------------

x + 2y = 8

5 + 2y = 8

-5          -5

2y = 3

÷2   ÷2

y = ( 3/2 )

I hope this helps!

Answer:

( 5, 3/2 )

Step-by-step explanation:

Answer:

$5130.84

Step-by-step explanation:

100 + 3 = 103%

103% = 1.013

$5000 x 1.013^2 = $5130.84

Hope this helps!

Answer:

9/10

Step-by-step explanation:

3 1/3 can be written as 10/3

then we have 3/10/3 we then have 3x3/10 which equals 9/10.

The expression which is equivalent to the difference of the given algebraic fraction is,

[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]

Difference is the mathematical operation in which the one number is subtract from another number.

To find the difference of two fraction numbers, we find the least common factor of denominator and write the all numbers as one fraction.

The given expression in the problem is,

[tex]\dfrac{2x+5}{x^2-3x}-\dfrac{3x+5}{x^3-9x}-\dfrac{x+1}{x^2-9}[/tex]

Factorize the denominator of each term as,

[tex]\dfrac{2x+5}{x(x-3)}-\dfrac{3x+5}{x(x-3)(x+3)}-\dfrac{x+1}{(x-3)(x+3)}[/tex]

Here, the least common factor of the denominators is x(x-3)(x+3), therefore, the expression can be written as,

[tex]\dfrac{(x+3)(2x+5)-(3x+5)-(x)(x+1)}{x(x-3)(x+3)}\\\dfr\dfrac{2x^2+5x+6x+15-3x-5-x^2-x}{x(x-3)(x+3)}\\\dfr\dfrac{x^2+7x+10}{x(x-3)(x+3)}\\\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]

Hence, the expression which is equivalent to the difference of the given algebraic fraction is,

[tex]\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}[/tex]

Learn more about the difference of two fractions here;

https://brainly.com/question/13222

Answer:

7.20 dollars

multiply $4 and 80%

then add ur answer with 4

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Step-by-step explanation:

Just consider the inequalities an equal sign and do the usual way of solving:

8x - 6 > 12 + 2x

8x - 2x > 12 +6

6x > 18

x > 3

*The only rule that you need to remember is that when you multiply or divide a negative number on both sides, then the inequality sign would be reverse.*

Example:

-x + 3 > -2

-x > -2-3

-x > -5

Multiplying both sides by -1:

x < 5

Answer:

D.)  5

Step-by-step explanation:

Solving One-Variable Inequalities on edge

From the statement of Hess law, the  ΔH3 is calculated when others are known from; ΔH3 = ΔH4 -( ΔH1 + ΔH2).

Hess law of constant heat summation states that the total heat evolved or absorbed for a series of reactions is the sum of all the heat absorbed or evolved at all steps in the reaction sequence.

Let the heat for the overall reaction be ΔH4 while ΔH1,  ΔH2  and ΔH3 designate the heat of reaction for reactions 1,2,3. It then follows that, the  ΔH3  is calculated when others are known from; ΔH3 = ΔH4 -( ΔH1 + ΔH2).

Learn more about heat of reaction: https://brainly.com/question/517776

A 120° angle and the side lengths can form more than one unique triangles

Malik's claim about the triangle is true

From the question, we have Malik's claim to be:

A 120° angle and side lengths of 3 cm and 4 cm can form more than one unique triangle

The above claim is true;

This is so because, the 120 degrees angle can be between the side lengths of 3 cm and 4 cm and the angle can be located not between the side lengths

This means that there are at least two unique triangles that can be formed using the given parameters

Hence, Malik's claim about the triangle is true

Read more about unique triangles at:

https://brainly.com/question/17972372

Answer:

Step-by-step explanation:

it's radius is 6 so diameter is 12 .

12^2+x^2=15^2

144+x^2=225

x^2=111

x=underradical111

Answer:

Supplementary angles

Step-by-step explanation:

The two angles shown are supplementary. You can see if the 3x+15 were to slide down to the next line, how the 3x+15 and 2x would make up a linear pair. Together they add up to 180°

Not sure if you need it, but to solve for x:

3x+15 + 2x = 180

combine like terms.

5x + 15 = 180

Subtract 15.

5x = 165

divide by 5

x = 33

Then you can find the measures of the angles.

3(33)+15

= 114°

2(33)

=66°

The true solution of the  [tex]\rm 3log2+log8=2log(4x)[/tex]  is 2.

It is given that the:

[tex]\rm 3log2+log8=2log(4x)[/tex]

It is required to find the value of [tex]\rm x[/tex].

It is another way to represent the power of numbers ie.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

Some properties of  Logarithm:

[tex]\rm logx+logy=log(xy)\\\rm x logy=logy^x[/tex]

We have:

[tex]\rm 3log2+log8=2log(4x)\\\\\rm By \ using \ properties \ of \ Logarithm\\\\\rm log2^3+log8=log(4x)^2\\\rm log(8\times8)=log16x^2\\\rm log64=log16x^2\\\rm 64=16x^2\\\rm 4=x^2\\x=2[/tex]

Thus, the true solution of the given expression is 2.

Learn more about the Logarithm here:

https://brainly.com/question/163125

Answer: B

Step-by-step explanation:

Simple because Im the man the simple

The fraction which represent the number of sweaters Maggie knits in 8 days is 2/1 sweaters

Total number of sweaters Maggie knits = Sweaters Maggie knits per day × Number of days

= 1/4 × 8

= (1 × 8) / 4

= 8/4

= 2/1 sweaters

Learn more about fraction:

https://brainly.com/question/2929160

Answer: 91 and 101 miles

Step-by-step explanation:

Answer: 24.7

Step-by-step explanation:

Answer:

D, B, E

Step-by-step explanation:

Try plotting the graph on desmos

Answer: 78

Explanation: Whenever we deal with an evaluation problem, make sure to always use parenthses when substituting numbers in for variables.

Notice that we have a set of parenthses in our original problem.

To avoid the confusion of having too many sets

of parenthses, let's change the parenthses to brackets.

So we have 2(3) [(5) + 8].

Simplifying from here, we have (6) [(13].

Multiplying, we get 78.

Answer:

D.

Step-by-step explanation:

6*13=78

Answer:

AAS stand for "angle,angle,side" and means that we have two triangles where we know two angles and non- include side are equal.if two angles and the non include side of one triangle are equal to the corresponding

angles and side of another triangle, the triangle are congruent..

and the answer is B. not congruent

Answer:

x=7

Step-by-step explanation:

Ok so first off, the x variable being in absolute value form will not change the outcome of the problem at all since there are no other x variables in the equation.

x-2=5

(add 2 on both sides)

x=7

Answer:

The answer you pick is right YOU SMART

Step-by-step explanation:

Answer:

Joshua is 11 and Mckay is 10.