All of the details to the question are in the picture that is attached in this question, please helpp

All Of The Details To The Question Are In The Picture That Is Attached In This Question, Please Helpp

Answers

Answer 1

Answer:

10

Step-by-step explanation:

The arc length of the semicircle is

a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10

As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.

So,

(42/180)(5a+10)=a+442(5a+10)=180(a+4) [multiply both sides by 180]210a+420=180a+720 [distributive property]30a+420=720 [subtract 180a from both sides]30a=300 [subtract 420 from both sides]a=10 [divide both sides by 30]

Related Questions

What is the absolute value of -6 ?

Answers

Answer:

the answer is just 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

An absolute value of a number is written like this | x |, where x could be any number that you want.

The absolute value is a math function that counts from your given number to 0.

Example: If you put the number 3, the function will count from 3 to 0, and the number will be 3.

| 3 | = 3

If you input the number 8, from 8 to 0 are 8 numbers. So, the output's function will be 8.

| 8 | = 8

If you input a negative number, for example, -6, the function will do the same thing. It will count from -6 to 0. From -6 to 0, are 6 numbers.

| -6 | = 6

Any number that you input in this function, will always output the same number, but positive

| -10 | = 10

| -46348 | = 46348

Hope I helped !

what does parallelepiped focus on

Answers

Answer:

A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations).

Step-by-step explanation:

A parallelepiped focuses on three-dimensional figures formed by six parallelograms.

How to explain the parallelepiped?

A parallelepiped shape has the following features

They are three-dimensional figuresThey are formed by 6 parallelogramsOpposite parallelograms are congruent

Think of a cube or a cuboid.

Notice that they contain squares and rectangles

A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid

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3.5 decimals to mixed numbers

Answers

1 2/3
It’s one and two thirds written out


What are the solutions of 2x² - 6x+5=0?

Answers

Answer:

no solutions

Step-by-step explanation:

we use the quadratic formula.

for an equation ax²+bx+c=0, the solutions for x are:

x = (-b±sqrt(b²-4ac))/2a

in our case, a=2, b=-6 and c=5, so:

x= (6±sqrt(36-40))/4

we see that we get a negative number inside the sqrt, so we have no real solutions

Answer:

No solution

Step-by-step explanation:

1) Use the quadratic formula

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

[tex]2x^2-6x+5=0[/tex]

[tex]a=2\\b=-6\\c=5[/tex]

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]

2) Simplify

Evaluate the exponent:

[tex]x=\frac{6\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]

Multiply the numbers:

[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]

Subtract the numbers:

[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]

Multiply the numbers

[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]

[tex]x=\frac{6\pm\sqrt{-4} }{4}[/tex]

3) No real solutions because the discriminant is negative

The square root of a negative number is not a real number

[tex]d=-4[/tex]

Result

No solution

Eleanor randomly chooses a number from 1 to 10. what is the probability she chooses a number greater than 5?

Answers

The probability she chooses a number greater than 5 will be 1/2 or 0.5.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Probability = (Favorable event) / (Total event)

Eleanor randomly decides a number from 1 to 10.

Then the probability she chooses a number greater than 5 will be

Total event = 10

Favorable event = 5 {6, 7, 8, 9, 10}

Then we have

P = 5/10

P = 1/2

P = 0.5

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Please help meeeeeeeeee???

Answers

The answer for the exponential expressions 1,2,3 and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.

What exactly is an exponent?

Exponential notation is a type of mathematical shorthand that allows us to write complex formulas in a more concise manner.

The basis of an exponent is a number or letter. It means that the base will be raised to a given level of power. The base is X, and the power is n.

The properties of the exponent used;

[tex]\rm m^a \times m^b = m^{a+b} \\\\ m^a \times n^a = {mn}^a \\\\ m^a \times m^b = m^{a-b} \\\\ m^0 = 1[/tex]

Expression 1;

[tex]\frac{(2.3^{-2})^2(5.3^2.2)^2}{(3)^-2(5.2)^2} \\\\ \frac{2^3.3^{-6}.5^2.3^6}{3^{-2}.5^2.2^2} \\\\ 4.5[/tex]

Expression 2;

[tex](3^3)(4^0)(3.2)^{-3}(2)^2 \\\\ 3^3.1.3^{-3}.2^{-3}.2^2 \\\\ \frac{1}{2}[/tex]

Expression 3;

[tex]\frac{(3^7.4^7)(2.5)^{-3}(5)^2}{12^7.5^{-1}.2^{-4}} \\\\ \frac{3^7.4^7.25^{-3}.5^{-3}.5^2}{12^7.5^{-1}2^{-4}} \\\\ 2[/tex]

Expression 4;

[tex]\frac{(2.3)^{-1}.2^0}{(2.3)^{-1}}\\\\ \frac{2^{-1}.3^{-1}.1}{2.3}\\\\ 1[/tex]

Hence, the answer for the exponential expressions 1,2,3, and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.

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Hey can I have some help with this. Just the answer is fine

Answers

I believe the answer would be:
4.5

Step-by-step explanation:

4.500 mm³ → cm³

1 cm³ = 1.000 mm³

= 4.500 ÷ 1.000

= 4,5 cm³ IS THE ANSWER

whenx=2y=50 and whenx=4y=100 Which direct variation equation can be used to model this function?

Answers

The equation which is used to model this function is y = 25x.

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

x=2 , y=50

x=4, y=100

As, corresponding to x =2 , y =50

For x=1 , y=25

Hence, the equation which is used to model this function is y = 25x.

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In the figure below, segment HK and segment IJ intersect at P, and segment HI is parallel to segment Jk. Which of the following angles must be congruent to angle PKJ?

Answers

Answer:

angle PHI

Step-by-step explanation:

Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ

Which is a true statement about an exterior angle of a triangle

Answers

Answer:

would love to help but what  are the statements?

what is the answr to -5(b + 1) = 8

Answers

[tex] - 5(b + 1) = 8 \\ - 5b - 5 = 8 \\ - 5b = 8 + 5 \\ - 5b = 13 \\ b = \frac{ - 13}{5} [/tex]

PLEASE GIVE BRAINLIEST

\\\///\\\///\\\///\\\///\\\///\\\///\\///\\\///\\\///\\\///\\\///\\\//\\//\\//\\//\\\///\\//\\\///\\\///\\\///\

                                      [tex]\Rsh[/tex] Hey! [tex]\Lsh[/tex]

[tex]\Rsh[/tex]Let's solve this! We can do this! [tex]\Lsh[/tex]

>>> First, let's multiply -5 by b and 1. Then we obtain

[tex]\pmb{-5b-5=8}[/tex].

>>> Now we add 5 to both sides.

[tex]\pmb{-5b=13}[/tex]

>>> And then, divide both sides by -5.

[tex]\pmb{b=-\dfrac{13}{5}}[/tex]

>>> That is the value of b.

><><><><><<><><><><><><><><><><><><><><><><><><><><><><><><><><>

Hope the answer - and explanation - assisted you!

Happy studies! :)

A local mechanic on average services 14 cars a week. How many cars does he service in 4 years

Answers

If he does 14 per week
He would do 14 * 4 = 56 per month
He would do 56 * 12 = 672 per year
In four years, he would service 672 * 4 = 2,688
There are 52.1 weeks in a year so i he does 14 cars a week. In 4 years there are (52.1 x 4) 208.4 weeks. So 208.4 multipled by 14 and the answer is 2917.6

p=f/a, where f=70 and a=20 f is increased by 10 a is increased to by 10

Answers

Answer:

P=3.5

P=2.667

Step-by-step explanation:

p=f/a

P=70/20

P=3.5

then f is increased by 10

f=70+10=80

and a is increased by 10

a=20+10

a=30

therefore; P=f/a

P=80/30

P=2.667

The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice includes all countries with literacy rates above 90%?

Answers

Answer:

The answer is D

Cuba, Poland, U.S., Argentina, Turkey, and Spain

Step-by-step explanation:

Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%

Solve this system of equations by
using the elimination method.
2x - 3y = 25
5x + 3y = 10
The ordered pair of solutions
is written in the format (x, y).
([?], [])
Enter

Answers

Answer:

(5,-5)

x=5

y=-5

Step-by-step explanation:

How to solve using elimination method.

First, add the two equations.

   2x - 3y = 25

+  5x + 3y = 10

7x=35

The y values got eliminated.

Next, divide 7 from both sides.

7x/7=35/7

x=5

Next, plug-in x=5 into one of the equations.

2(5) - 3y = 25

10-3y=25

Subtract 10 from both sides.

-3y=15

Divide -3 from both sides.

y=-5

Remember a positive divided by a negative is a negative.

Hope this helps!

If not, I am sorry.

Select the correct answer.
Which graph best models the inequality?
y ≤ -2/5x + 2

Answers

Answer:

it would look like this

Step-by-step explanation:

Use the graph of f(x) to find the indicated function values.

Answers

The indicated function values are f(0) = 2 and x = -1

How to determine the function values?

The attached figure represents the missing piece in the question

From the attached figure, the function values to calculate are:

f(x) when x = 0 and x when f(x) = 0

From the figure, the graph crosses the y-axis at y = 2 and the x-axis at x = -1

This means that:

f(0) = 2 and f(-1) = 0

Hence, the indicated function values are f(0) = 2 and x = -1

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If f (x) = one-ninth x minus 2, what is ?
A.
B.
f - 1 Baseline (x) = one-ninth x + 2
f - 1 Baseline (x) = -2 x + one-ninth
Please see picture: helpppppp

Answers

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )

y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply both sides by 9 to clear the fraction )

9(y + 2) = x

9y + 18 = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 9x + 18

Answer: A

Step-by-step explanation:

GOT IT RIGHT ON EDG TEST

A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period
beginning in January.
Month, x
Units, y
Which equation best models the situation?
1
800
2
500
3
400
4
300
5
200
6
300
7
450
8
600
9
800

Answers

Based on the values of x and y for the company and its school desks, the equation that best models the situation is D. y = 34x² - 334x + 1,075.

How does this equation model the situation?

The best equation would be the one that gives the closest value of y to the value of the actual value of y on the table.

The first two equations can be ruled out because the table shows that this is not a linear model as there is no constant rate of change.

Test the other two equations:

x=1:

y = -34(1)² + 334(1) + 1,075

= 1,075

This is too high.

Other equation:

y = 34(1)² - 334(1) + 1,075

= 775

This is close to 800 so this is the best equation.

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Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)

Answers

If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

The required two-column proof is presented as follows;

Statement                                                    Reason

∠1 and ∠a are linear pair angles                Given

∠1 + ∠a = 180°                                              Linear pair ∠s are supplementary

∠2 and ∠b are linear pair angles               Given

∠2 + ∠b = 180°                                             Linear pair ∠s are supplementary

∠a and ∠b are consecutive interior ∠s      Definition

x║y                                                               Given

∠1 and ∠b are corresponding angles        Definition

∠1 ≅ ∠b                                                        Corr. ∠s formed between║ lines

∠1 = ∠b                                                         Definition of congruency

∠a + ∠b = 180°                                              Substitution property

∠a and ∠b are supplementary                    Definition

We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.

Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.

Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°

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Help with Pre Calculus

Answers

the answer is the first one .. y=3x-4

Which equation is the inverse of y = 9x² - 4?​

Answers

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3

This is the last question PLSSSSS HELP

Answers

Answer:

D

Step-by-step explanation:

The volume of a cylinder is pi * r^2 * h

A) V = 3.14 * (0.7/2)^2 * 6.2 = 2.4 m^2

B) V = 3.14 * (0.9/2)^2 * 3.4 = 2.2 m^2

C) V = 3.14 * (1.2/2)^2 * 6.8 = 7.7 m^2

D) V = 3.14 * (1.4/2)^2 * 6.2 = 9.5 m^2

what is an equivalent expression ​

Answers

Answer:

1st option

Step-by-step explanation:

using the rules of logarithms

• log x + log y = log xy

• n logx ⇔[tex]x^{n}[/tex]

given

2[tex]log_{2}[/tex] 3 + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] 3² + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] 9 + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] (9 × 3)

= [tex]log_{2}[/tex] 27

Please help me with this thanks!!

Answers

Answer: 47°

Step-by-Step Explanation:

In a Triangle the Sum of all the Angles equal to 180° (Angle Sum Property)

Therefore,
x + 78 + 55 = 180
x + 133 = 180
x = 180 - 133
=> x = 47

Hence, ∠x = 47°

Answer:

x° = 47°

Step-by-step explanation:

The sum of the measurements of three interior Angles in a triangle is 180°.This is known as angle sum property.Same case is here.

78°,55° and x° are interior angles here.

So,

[tex] 78{}^{ \circ} + 55 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]

Solving for x°,

[tex]133 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex][tex]x {}^{ \circ} = 180 {}^{ \circ} - 133 {}^{ \circ} [/tex][tex]x {}^{ \circ} = \boxed{47 {}^{ \circ} }[/tex]

Hence,the value of x° is 47°.

How do you find what exponents of i are? like I know i^2 is -1, but how are you supposed to figure out i^26? do you have to write it all out?

THANK YOU

Answers

Answer:

-1

Step-by-step explanation:

so "i" is the square root of -1 (√-1). We know that i² = (√-1)², and that when we square a square root we end back up with whatever is inside of the square root.

This is why i² = -1

We can find a pattern from writing out a few exponents:

i¹ = i

i² = -1

i³ = -i  [(-1)(i)]

i⁴ = 1  [-1 · -1]

------

i⁵ = i  [(1)(i)]

i⁶ = -1 [(i)(i)]

i⁷ = -i [(-1)(i)]

i⁸ = 1 [(-i)(i)= -(i²)= -(-1) = 1]

------

i⁹ = i [1 · i]

we can see that the pattern of i repeats every 4 numbers, so by dividing 26 by 4 (and finding the remainder), we can figure out which step of the pattern we are on

26 / 4 = 6 [remainder of 2]

we know that there is a remainder of 2, meaning that we are on the "second step" in the pattern: -1

you can do the same thing for any number

hope this helps!!

Answer:

-1

Step-by-step explanation:

4 goes into 26 6 times, and then there's 2 remainder, so it's the same thing as i², which is -1

hope this is helpful :)

This is direct proportion .

I need help in question 2 only one of the questions then I can do the rest tysm
Il give

Answers

Answer:

(a) 2.5

Step-by-step explanation:

(a) Since y is directly proportional to x we can write y and x in terms of the following equation:

y = cx where c is a constant
and c = y/x ...(1)
or,

x = y/c ...(2)

For (a)
y = 8 when x = 2 ==> c = y/x = 8/2 =4 from (1)

From (2) we get x = 10/4 = 2.5

The other questions can be solved in a similar fashion



Which table can be created using the equation below?
-2 + 4x = y
X
y
-5-22
0
3
X
y
-22 -5
-2 0
10
3
X
-5
0
-2
10
03
y
-18
-2
10

Answers

Answer:

h

Step-by-step explanation:

h

Explain how to find the average rage of change for a function over a given interval.

Answers

The average rate of change for a function over an interval is the slope

How to explain the steps?

Take for instance, we have the function to be

Function f(x)

And the interval is (a,b)

The average rate of change for the function over the interval is

Rate = (f(b) - f(a))/(b - a)

The above represents the slope

Take for instance, we have:

f(x) = x^2 [2, 4]

We have:

f(2) = 2^2 = 4

f(4) = 4^2 = 16

So, we have:

Rate = (16 - 4)/(4 - 2)

Rate = 6

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Find x intercept for n and find y intercept for m

Answers

The anwsers is 4,2 &3,4
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