If the length of a basketball court is 32 meters and the width is 9 meters, what is the diagonal of the basketball court? Round to the nearest tenth, if needed.

A. 33.2

B. 23

C. 30.7

D. 41

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9

Answer:

hiiii

Step-by-step explanation:

sorry I have not idea like what garde are u I'm

5 units to the right and 3 units down

Answer:g(x) = (x+3)/(x2-4)

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

g(x) = (x+3)/((x+2)(x-2)

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

(-∞,-2)U(-2,2)U(2,+∞)

On a number line, draw it as follows:

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation:

Answer:

you have to find the angels

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

She earns $487.50

375+75+37.5=487.5

Answer: c

Step-by-step explanation

First find the unit rate

$150 divided by 20 = $7.50

So she's earning $7.50 an hour

$7.50 times 65 hours = $487.50

So the correct answer is C

Answer:

Step-by-step explanation:

[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]

Answer:

4. [tex]\displaystyle 38 ≈ x[/tex]

3. [tex]\displaystyle 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 52 ≈ x[/tex]

1. [tex]\displaystyle 15° ≈ m∠X[/tex]

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]

Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]

Take the square root of the end result or you will throw it off!

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

Solving for Angles

[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]

Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]

_____________________________________________

4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]

3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]

I am joyous to assist you at any time.

is this the answer you're looking for? I'm sorry I'm confused

Answer:

112.46 yd³

Step-by-step explanation:

1 inch = 0.0278 yds

1 feet = 0.333 yd

Thickness = 4 inches = (4 * 0.0278) = 0.1112 yds

Width = 3 feets = (3 * 0.333) = 0.999 yds

Length = 40 feets = (40 * 0.333) = 13.32 yds

Volume of sidewalk :

Thickness * Width * Length

0.1112 * 0.999 * 13.32 = 1.479702816 yd³

1 yd³ of cement = $76

Cost :

1.479702816 yd³ * $76

= 112.457414016

= 112.46 yd³

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values

[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

Answer:

(2+1×-3)(x) = 3×(-3)(x) =-9x

Answer:

(g · ƒ)(x) = –3x2 – 3

Step-by-step explanation:I took the test

Answer:

option b.

61/1000.

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

Answer:

B: 61/1000

Step-by-step explanation:

B: 61/1000 = 0.061

as a percent is 6.1%

Therefore B or 61/1000 is correct hope this helped!

There is a 10% increase

There are 6 more students this year than there were last year.

If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.

//

[tex]60 \times 0.10 = 6[/tex]

[tex]10\% \: of \: 60 \: is \: 6[/tex]

[tex]60 + 6 = 66[/tex]

Answer:

x=16

Step-by-step explanation:

according to the geometric mean for altitude

8 squared = 4x

64=4x

x=16

if my answer helped please mark as brainliest.

Step-by-step explanation:

X = 16 .

16 is the correct answer of this question .

plz mark my answer as brainlist if you find it useful.

Answer:

Step-by-step explanation:

Where are the equations to choose from?

14 pounds × (1 bag)/(¼ pound) = 56 bags

Answer:

8s + 12

s=12-8

s=4

or

8s +12

s=12+8

s=20

Step-by-step explanation:

im not sure kung minus o plus kasi kung kinus mababa lang binayad nya

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ6

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

Answer:

7- 110

11-70

about rest I don't know sorry

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

Answer:

x=-79/4, y=-45/8. (-79/4, -45/8).

Step-by-step explanation:

-2x+4y=17

3x-10y=-3

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

3(-2x+4y)=3(17)

2(3x-10y)=2(-3)

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

-6x+12y=51

6x-20y=-6

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

-8y=45

y=45/-8=-45/8

3x-10(-45/8)=-3

3x+450/8=-3

3x+225/4=-3

3x=-3-225/4

3x=-12/4-225/4

3x=-237/4

x=(-237/4)/3

x=(-237/4)(1/3)

x=-237/12=-79/4

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

Answer:

Both:

1

2

Inequality Only:

-4

3/4

2.3

Neither:

2.5

Answer:

also click the first choice. It has 10 sides.

Step-by-step explanation:

1440=(N-180)-360

N-180=1080

n=10 sides

Answer: The answers would be A

Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?

Answer:

4bb

Step-by-step explanation:

Answer:

4bb

Step-by-step explanation:

Because you need to combine like terms

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

(This is too easy)

Answer: 5/9 yards

Step-by-step explanation:

From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.

To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:

= 5 / 9

Therefore, it means that Jack used 5/9 yards for each bag

Answer:

[tex]y < 85 \div \div 9614 = 88[/tex]

Ты лоххх

Answer:

y = 1x + 4

OR

y = x + 4

Step-by-step explanation:

there are 1000 milligrams in 1 gram

Hope this helps