What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box.

What Is The Length Of Side A? Round To The Nearest Tenth Of An Inch. Enter Your Answer In The Box.

Answers

Answer 1

9514 1404 393

Answer:

  14.4

Step-by-step explanation:

The Pythagorean theorem tells you ...

  7² +a² = 16²

  a² = 256 -49

  a = √207

  a ≈ 14.4


Related Questions

11. f(x) = 4x4 - x2 + 9. Find f(-4).​

Answers

Answer:

f ( -4 ) = 1024 + 8 + 9

Step-by-step explanation:

f ( x ) = 4x⁴ - x² + 9

If f ( - 4 ) then we get

f ( -4 ) = 4 ( -4)⁴ - ( - 4)² + 9

Expand the exponents

f ( - 4 ) = 4 ( 256 ) + 8 + 9

multiply the numbers

f ( -4 ) = 1024 + 8 + 9

Find the value of x for which a || b.

Answers

Answer:

x = 35

Step-by-step explanation:

x and 3x+40 are same side interior angles and same side interior angles are supplementary when the lines are parallel

x + 3x+40 = 180

Combine like terms

4x+40 =180

4x = 180-40

4x = 140

Divide by 4

4x/4 = 140/4

x = 35

Answer and Step-by-step explanation:

To solve for x, we add together the angles, and equal it to 180.

This is because the angles shown are same side interior angles, and add up to 180 degrees.

x + 3x + 40 = 180

Subtract 40 and combine like terms.

4x = 140

Divide 4 from both sides of the equation.

x = [tex]35[/tex]

The value of x is 35.

#teamtrees #PAW (Plant And Water)

How do you work out the total surface area of a cuboid (equation)

Answers

Answer:

A cuboid has a total of 6 rectangular sides. If you calculate the area of each of the 6 rectangular sides and add them up, you will get the surface area of the cuboid.

Surface Area of a Rectangle = Width x Height

A company makes plastic baseballs. They put 6 baseballs nackage. Which teple shows the values for Op, the number of baseballs in p packages? Number of packages. P 7 Tamber of baseballs. 5p42 47 52 number of cackages out of basebis 50​

Answers

Answer:

Table C

Step-by-step explanation:

Given

[tex]1\ package = 6\ balls[/tex]

Required

Which table is correct

We have:

[tex]1\ package = 6\ balls[/tex]

For 7 packages, it will be:

[tex]7\ packages = 42\ balls[/tex] --- i.e. 6  * 7

For 8:

[tex]8\ packages = 48\ balls[/tex] --- i.e. 8 * 7

For p packages

[tex]f(p) = 6p[/tex]

Using the above formula, we can conclude that table (C) is correct

Use the graph to estimate f(4)

Answers

Answer:

f(4) = 1

Step-by-step explanation:

Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) , then

f(4) = 1

The value of the function f(4) is 1. The correct option is C.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of the function f(4) will be calculated as below:-

Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) ,

f(4) = 1

Therefore, the value of the function f(4) is 1. The correct option is C.

To know more about functions follow

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HELP ANYONE OUT THERE WITH MY MATH

Answers

Answer:

x is 37.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.

Answer:

x = 37

Step-by-step explanation:

Interior angles of a square is 90 each.

∠JKL = 90°

Given ∠JKL = 3x - 21

Therefore, 3x - 21 = 90

                    3x = 90 + 21

                    3x = 111

                      x =  37

Right triangle ABC is shown.

Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.

Which equation can be used to solve for c?

sin(50o) = StartFraction 3 Over c EndFraction
sin(50o) = StartFraction c Over 3 EndFraction
cos(50o) = StartFraction c Over 3 EndFraction
cos(50o) =

Answers

Answer:

A and A.

Step-by-step explanation:

Got it correct on edge 2022.

Find each missing length to the nearest tenth.​

Answers

[tex]\huge\bold{Given:}[/tex]

Length of the perpendicular = 7

Length of the base = 10

[tex]\huge\bold{To\:find:}[/tex]

The length of the missing side (hypotenuse).

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\purple{x\:=\: 12.21}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Let the length of the missing side be [tex]x[/tex].

Using Pythagoras theorem, we have

(Hypotenuse)² = (Perpendicular)² + (Base)²

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = (7)² + (10)²

[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 49 + 100

[tex]\longrightarrow{\blue{}}[/tex]  [tex]{x}^{2}[/tex] = 149

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = [tex]\sqrt{149}[/tex]

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = 12.206

[tex]\longrightarrow{\blue{}}[/tex]  [tex]x[/tex] = 12.21.

Therefore, the length of the missing side [tex]x[/tex] is [tex]12.21[/tex].

[tex]\huge\bold{To\:verify :}[/tex]

[tex]\longrightarrow{\green{}}[/tex] (12.21)² = (7)² + (10)²

[tex]\longrightarrow{\green{}}[/tex] 149 = 49 + 100

[tex]\longrightarrow{\green{}}[/tex] 149 = 149

[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Dertemine a área total at

Answers

Rectangle: A=width•length
Square: A = a^2

Oakley babysits on weekends. He charges a flat fee of $12, plus an additional $5 for each hour that he babysits. How much money would Oakely make if he babysits for 4 hours?

Answers

Answer:

32

Since theres a flat fee he automatically starts at 12 since he gets 5 every hour for 4 hours (5×4) ending up at 20. You add the total and the flat fee 20+12= 32

Answer:

$32

Step-by-step explanation:

First you must set up the equation.

A flat fee of $12 means it will be added and $5 each hour for 4 hours so 5 will be multiplied by 4.

$12 + $5 * 4

12 + 5 * 4 (or 12 + (5 * 4), whatever makes you remember it better)

Remember PEMDAS (Parentheses, Exponents, Multiplication, Divisiom, Addition, Subtraction)

Multiplication comes before Addition so you get 12 + 20

12 + 20 = 32

Remember to put units, so you would get $32.

The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?

Answers

Answer: $235.4

Step-by-step explanation:

Given

Price list on slacks is $22

Price list on jumpers is $37

Store ordered 30 pairs of slacks and 40 Jumpers

Total price becomes

[tex]\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140[/tex]

for a discount of 11%

Trade discount is [tex]2140\times 11\%[/tex]

[tex]\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4[/tex]

The radius of a cylindrical water tank is 4.5 ft, and its height is 10 ft. What is the volume of the tank?

Answers

Answer:

636.3 cubic meters

Step-by-step explanation:

Volume of cylinder= pi × radius² × height

3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3

Have a nice day.

carol and jada sold raffle tickets to raise money for a new playground carol sold 2045 tickets jada sold 356 more than carol how many did jada sell​

Answers

Jada sold 2401 tickets

Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
А. Peggy's claim is correct.
B. Quincy's claim is correct.
C. Both Peggy's claim and Quincy's claim are correct
D. Neither Peggy's claim nor Quincy's claim is correct.
E. There is not enough information to determine whether the claims are correct.

Answers

Answer:

B. Quincy's claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is the standard error and n is the size of the sample.

From this interval, we have that the margin of error and the sample size are inversely proportional, that is, if we increase the sample size, the margin of error decreases, and so does the width of the confidence interval.

Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same.

Peggy is wrong, as the increase of the sample size results on the decrease of the margin of error, and a decrease of the width.

Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used.

Margin of error decreases, and so does the width of the interval, thus, Quincy's claim is correct, and the correct answer is given by option b.

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the test statistic to decide whether the mean transaction time exceeds 60 seconds.
a. 1.457
b. 2.333
c. 1.848
d. 2.037

Answers

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

[tex]H_0: \mu = 60[/tex]

At the alternate hypothesis, we test if it exceeds, that is:

[tex]H_1: \mu > 60[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

60 is tested at the null hypothesis:

This means that [tex]\mu = 60[/tex]

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that [tex]n = 16, X = 67, s = 12[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}[/tex]

[tex]t = \frac{7}{3}[/tex]

[tex]t = 2.333[/tex]

Thus, the correct answer is given by option b.

Illustrative Example 1:
The grades in Statistics of 10 students are 87, 84, 85, 85, 86, 90, 79, 82, 78, 76.
What is the mode?​

Answers

Given:

The data set is:

87, 84, 85, 85, 86, 90, 79, 82, 78, 76

To find:

The mode of the given data set.

Solution:

We have,

87, 84, 85, 85, 86, 90, 79, 82, 78, 76

Arrange the data values in the ascending order.

76, 78, 79, 82, 84, 85, 85, 86, 87, 90

We know that the mode of date set is the most frequency value of the data set.

From the above data set it is clear that the number 85 has the highest frequency 2.

Therefore, the mode of the data set is 85.

please answer i will mark brainliest :)

Answers

Answer:

c I think that's the right answer

HELP ME CANT FAIL!! Which parent function is represented by the graph?

A) An exponential parent function
B) Liner parent function
C)Absolute value parent function
D)Quadratic parent function

Answers

The answer is b

Explanation:

Select all the expressions that are equivalent to 13 - x *

Answers

You gave no options but the simplest way to solve this is to set it equal to all of the answers to see if it is correct.

Factor this polynomial.
.-2x2 - 7x-3

Answers

Answer:

Its B

Step-by-step explanation:

Mark as Brainllest!!

..........................................................

Answers

make ur pizza- and then reply with what u put so iv u need help with finding a profit

Perimeter of a 14cm,10cm,6cm and 20cm shape?

Answers

Answer:

The perimeter is 50 cm.

Step-by-step explanation:

P= 14 + 10 + 6 + 20= 50 cm

i need the answer of this with steps and solutions fast plz​

Answers

Answer:

[tex] 1 \dfrac{13}{15} [/tex]

Step-by-step explanation:

[tex] 2 \dfrac{1}{5} - \dfrac{1}{3} = [/tex]

[tex] = \dfrac{11}{5} - \dfrac{1}{3} [/tex]

[tex] = \dfrac{33}{15} - \dfrac{5}{15} [/tex]

[tex] = \dfrac{28}{15} [/tex]

[tex] = 1 \dfrac{13}{15} [/tex]


PLEASE I NEED THE CORRECT ANSWER ILL GIVE BRAINLISET 100 students are interviewed to see which of biology, chemistry or physics they prefer.
22 of the students are girls. 6 of the girls like biology best.
23 of the boys prefer physics.
14 out of the 32 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

I believe it is 140% could be wrong though percentages is not my greatest area

2 3 12 13 52 53 what number comes next

Answers

212 is your next answer because the pattern of this is plus 1 and then times 4 have a good day :)

Complete the table of ordered pairs for the linear y=2x-8

Answers

Given:

Consider the below figure attached with this question.

The linear equation is:

[tex]y=2x-8[/tex]

To find:

The values to complete the table of ordered pairs for the given linear equation.

Solution:

We have,

[tex]y=2x-8[/tex]

Substituting [tex]x=0[/tex] in the given equation, we get

[tex]y=2(0)-8[/tex]

[tex]y=0-8[/tex]

[tex]y=-8[/tex]

So, the value for first blank is -8.

Substituting [tex]y=-2[/tex] in the given equation, we get

[tex]-2=2x-8[/tex]

[tex]-2+8=2x[/tex]

[tex]\dfrac{6}{2}=x[/tex]

[tex]3=x[/tex]

So, the value for second blank is 3.

Substituting [tex]x=2[/tex] in the given equation, we get

[tex]y=2(2)-8[/tex]

[tex]y=4-8[/tex]

[tex]y=-4[/tex]

So, the value for third blank is -4.

Therefore, the required complete table is:

     x           y

     0         -8

    3         -2

     2          -4

Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 3, 1). What is the modulus of z?

Edge

Answers

Answer:

The modulus of z is [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Complex number:

A complex number, given by:

[tex]z = x + iy[/tex]

Can be represented also as a point (x,y).

The modulus is given by:

[tex]|z| = \sqrt{x^2 + y^2}[/tex]

Point z is at (negative 3, 1). What is the modulus of z?

[tex]x = -3, y = 1[/tex]. So

[tex]|z| = \sqrt{x^2 + y^2} = \sqrt{(-3)^2+1^2} = \sqrt{10}[/tex]

The modulus of z is [tex]\sqrt{10}[/tex]

Answer:

-2

Step-by-step explanation:

if this is the right problem it is -2

Differentiate the function. y = (2x - 5)^2 (5 - x)?​

Answers

Answer:

[tex]\displaystyle y' = -(2x - 5)(6x - 25)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (2x - 5)²(5 - x)

Step 2: Differentiate

Derivative Rule [Product Rule]:                                                                        [tex]\displaystyle y' = \frac{d}{dx}[(2x - 5)^2](5 - x) + (2x - 5)^2\frac{d}{dx}[(5 - x)][/tex]Chain Rule [Basic Power Rule]:                                                                        [tex]\displaystyle y' = [2(2x - 5)^{2 - 1} \cdot \frac{d}{dx}[2x]](5 - x) + (2x - 5)^2\frac{d}{dx}[(5 - x)][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot \frac{d}{dx}[2x]](5 - x) + (2x - 5)^2\frac{d}{dx}[(5 - x)][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot 1 \cdot 2x^{1 - 1}](5 - x) + (2x - 5)^2(1 \cdot -x^{1 - 1})][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(2x - 5) \cdot 2](5 - x) + (2x - 5)^2(-1)[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 4(2x - 5)(5 - x) - (2x - 5)^2[/tex]Factor:                                                                                                               [tex]\displaystyle y' = (2x - 5)[4(5 - x) - (2x - 5)][/tex][Distributive Property] Distribute 4:                                                                 [tex]\displaystyle y' = (2x - 5)[20 - 4x - (2x - 5)][/tex][Distributive Property] Distribute negative:                                                    [tex]\displaystyle y' = (2x - 5)[20 - 4x - 2x + 5][/tex][Subtraction] Combine like terms (x):                                                              [tex]\displaystyle y' = (2x - 5)[20 - 6x + 5][/tex][Addition] Combine like terms:                                                                        [tex]\displaystyle y' = (2x - 5)(25 - 6x)[/tex]Factor:                                                                                                               [tex]\displaystyle y' = -(2x - 5)(6x - 25)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

In function notation, f(x) is another way of saying ______.
1.)y
2.)x
3.)or none of the above

Answers

Answer:

y

Step-by-step explanation:

In function notation, f(x) is another way of saying y. Then the correct option is A.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Tables, symbols, and graphs can all be used to represent functions. Every one of these interpretations has benefits. Tables provide the functional values of certain inputs in an explicit manner. How to compute direct proportionality is succinctly stated in symbolic representation.

The function is represented as,

y = f(x)

In function notation, f(x) is another way of saying y. Then the correct option is A.

More about the function link is given below.

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A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x

Answers

9514 1404 393

Answer:

  x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

  36 +(5x -9) = 54

  5x = 27 . . . . . . . . . . . subtract 27 from both sides

  x = 5.4 . . . . . . . . . . divide by 5

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