Mathematics High School

4. Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

hey! You have to use the trigonometric formula because it's a rectangle triangle:

(a^2)+(b^2)=(c^2)

(11^2)+(11^2)=(c^2)

√(242)=√(c^2)

15.56=c

So basically, the answer is D!

Answer 2

The square ABCD has equal sides, and the length of the diagonal AC is 15.6 centimeters

How to determine the length of the diagonal?

The side length of the square is given as:

l = 11 cm

The length of the diagonal is calculated using:

Diagonal = l * √2

This gives

Diagonal = 11 * √2

Evaluate

Diagonal = 15.6

Hence, the length of the diagonal AC is 15.6 centimeters

Related Questions

Eliza wants to conduct a survey to find out how much time students from her school spend listening to music. Which of the following is an appropriate statistical question for this survey?

Select one:
a. How many of you listen to music for an hour each day?
b. How many hours per week do you listen to music?
c. How many of you listen to music for more than an hour each day?
d. How many hours per week does the best musician listen to music?

Answers

Answer:

Step-by-step explanation:

You want to find the hours, not the number of people.

We wouldn't know anything about the "best musician" that one wouldn't be a good answer choice

the square root of 81

Answers

Answer:9

Step-by-step explanation:

The square root of 81 is 9. This is because 9x9 is 81. Hope this helps :)

Which are the first 5 terms of an ARITHMETIC sequence with a COMMON DIFFERENCE of -0.4 and a FIRST TERM of 0.7 *
1 point
0.7,0.175,0.04375,...
1,0.6,0.2,-0.2,-0.6,...
0.7,0.3,-0.1,-0.5,...
0.7,2.8,11.2,44.8,...

Answers

Answer:

Step-by-step explanation:

The HCF of two numbers is 16 and their product is 3072. Find their LCM

Answers

Answer:

192

Step-by-step explanation:

16 × LCM = 3072

LCM = 3072 ÷ 16

LCM = 192

5 pencils and 3 pens costs £11.
4 pencils and 6 pens costs £16.
Find the cost of a pencil.
Find the cost of a pen.

Answers

Answer:

The pencil is £1 and the pen is £2

Step-by-step explanation:

Let the pencil be p and let the pen be f.

5p + 3f = 11

4p + 6f = 16

the top one multiplies by two:

10p + 6f = 22

4p + 6f = 16 subtract

6p = £6

pencil = £1

Then you substitute the value of the pencil into the equation and find the value of the pen.

If Hailey buys 10 shirts at 10% off and each shirt costs s dollars, which expression is NOT equivalent to the situation?

Answers

Answer:

9.90 per shirt

Step-by-step explanation:

10-.10=9.90

A truck can be rented from Company A for $100 a day plus $0.20 per mile. Company B charges $40 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

at mile 160, both will cost 300

Petra jogs 4 miles in 36 minutes. At this rate, how long would it take her to jog 10 miles.

Answers

10 / 4 = 2.5
So 36 x 2.5 = 90
90 minutes to jog 10 miles.

Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

Divide 200 and 400 then bam- your answer is there

A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.

Total cost represented by equation, [tex]C=200x+400[/tex]

Let number of phones is represented by x .

Since, She pays a cost of $200 per phone produced for materials and labor

For x phones, she will pay = 200x

Since, she also pays daily fixed cost of $400 to rent the building and equipment

Therefore, total cost is represented by equation shown below,

[tex]C=200x+400[/tex]

Learn more:

https://brainly.com/question/20335698

Bobby sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimum wage of $7.25 per hour, plus $10 to cover gas and lunch expenses. Which equation best describes this relationship?

Answers

Answer:

W = 7.25H - 10

If you live for 90 years, but celebrate your birthday every single day for 90 years, how old would you be?

Answers

Answer:

32850

Step-by-step explanation:

Days in a year: 36590 × 365 = 32850

I hope this helps!

Answer:

um if this is a riddle then only 90 years old because that how many actual years you have lived but is this is like more of a math question then you would be 32850 years old because 365 x 90 = 32850

Step-by-step explanation:

Evaluate and solve for the variable and please show your work.
-2=y+5

x – 7 = 4 + 10

–2x + 3x – 5 = 6 – 21

70 = 7m

4 – 14 = 5x

2y + 3y = 4 – 6 – 13

Answers

Answer:

Step-by-step explanation:

-2 = y + 5

- y -2 = 5

- y = 5 + 2

- y = 7

y = -7

-2x + 3x – 5 = 6 – 21

x – 5 = 6 – 21

x – 5 = -15

x = -15 + 5

x = -10

70 = 7m

7m = 70

m = 10

4 – 14 = 5x

-10 = 5x

5x = -10

x = -2

2y + 3y = 4 – 6 – 13

5y = 4 – 6 – 13

5y = -15

y = -3

Answer:

I took I quiz and the answers are correct

Step-by-step explanation:

:) :) :) :) :) :) :)

The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear function. The amusement park charges an entrance fee of $45.25 per person and a parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.

What is the domain of the function for this situation?

Answers

45x6=270.270 is the total for the friends.However instead you have to do 45x7=315.Because its Leahs friends and LEAH.So now the car.315+10=325.So your answer is 325

Karen pays $50 to join a health club and $20 each month. So far she has paid the health club $170. Write an equation that could be used to find the number of months, m, that Karen has been a member

Answers

I believe the answer would be Y= 20x +50

how do I solve −2(n− 9) + 4 using distributive property or combining like terms?

Answers

Answer:

Multiply the term outside of the parentheses by each term in the parentheses. To do this, you are essentially distributing the outer term into the inner terms. Multiply the term outside the parentheses by the first term in the parentheses. Then multiply it by the second term. If there are more than two terms, keep distributing the term until there are no terms left. Keep whatever operation (plus or minus) is in the parentheses

Step-by-step explanation:

8x=-1/2 Whats the answer

Answers

that’s literally so easy are u kidding me

Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.

Answers

Answer:

tn=9+3(n-1)

Step-by-step explanation:

Formula: tn=t1+d(n-1)

AKA: term n=term 1 plus common difference times n minus 1

For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1

Plug in the answer: tn=9+3(n-1)

can you help me please I very confusing right now

Answers

For every 10 people you add 2 more gallons of Lemonade. For every 10 people you add 5 gallons of Iced Tea. I hope this helps.

PLS HELP
A. Alternate interior angles
B. Vertical angles
C. Supplementary angles
D. Alternate exterior angles

Answers

Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

the area of the rectangle

Answers

Answer:

8x6=48

Step-by-step explanation:

Answer:
48 units^2

Explanation:
Area of a rectangle=length*width

When we count the units for the length on the graph, we get 8. When we count the units for the width, we get 6.

Area=length*width
Area=6*8
Area=48

I hope this helps! Please comment if you have any questions.

While shopping for clothes, Curtis spent $78 less than 3 times what Daniel spent. Curtis spent $21. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.

Answers

hope this helps. Daniel spent $33

which statements about the function in item 3 are true? select all that apply

A. some input values are negative
B. some output values are negative
C. some input values are integers
D. some output values are integers

Answers

Answer:

C. Some input values are integers

Step-by-step explanation:

Consider the functions f(x) = 2x + 9 and g(x) = (x - 9)/2. Calculate the following.
A. g( f( 15)) B. g( f( -3)) C. g( f( x))

Answers

9514 1404 393

Answer:

A. 15

B. -3

C. x

Step-by-step explanation:

C. Since we want different values of g(f(x)), it is convenient to find that first.

g(f(x)) = g(2x +9) = ((2x +9) -9)/2 = 2x/2

g(f(x)) = x

A. g(f(15)) = 15

B. g(f(-3)) = -3

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?

Square root of 5
Square root of 7
5
7

Answers

Answer:

Step-by-step explanation:

let the other leg be x

Then using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 3² = 4²

x² + 9 = 16 ( subtract 9 from both sides )

x² = 7 ( take the square root of both sides )

x = 7

Answer:

Step-by-step explanation:

let the other leg be x

Then using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 3² = 4²

x² + 9 = 16 ( subtract 9 from both sides )

x² = 7 ( take the square root of both sides )

x = 7

Sonya made a resolution to walk 2.5 kilometers a day. On Tuesday she walked 4 times around the running track at the local high school (each lap is 0.4 kilometers.) How many additional kilometers does Sonya need to walk? (HINT: this is a multi-step problem with 2 operations...)

Answers

Answer:

0.9km

Step-by-step explanation:

Given that:

Sonya's resolution = walk 2.5 km daily

Total distance walked on Tuesday = 4 times around a running track

1 lap = 0.4 km

Hence, total distance by walking 4 times around track :

0.4km * 4 = 1.6km

Additional kilometers Sonya needs to walk:

2.5 - 1.6 = 0.9 km

Kate had 70 dollars to spend on 6 books. After buying them he had 16 dollars. How much did each book cost?

Answers

Answer:

Each book costs 9 dollars.

Step-by-step explanation:

(70-16)= 6x

54= 6x

x=9

Answer:

Step-by-step explanation:

equation: (70-16)÷6

70-16=54

54÷6=9

Find the values of x and y.

Please show steps

Answers

x: 90 degrees. y: 43 degrees

We know that x is a right angle. The way we find y is to add 47 + 90 which gives us 137. We also know that a right triangle adds up to 180. So, we subtract 137 from 180. This means that y would be 43 degrees.

brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?

Answers

Answer:

Step-by-step explanation:

Hello!! I need help with square root please help me!!!

Answers

Ok so what you need to do is you need to get all the numbers and see which one is the right number so...

A. y = 11.2 that is wrong

B. y = 25 is wrong

C. y = 5 is right

D. y = 15 is wrong.

C is right because it would be 5 times 5 times 5. SO 5 times 5 is 25, and then u times it by 5 and you get 125!

C is correct

Hope this helps!!

Answer:

This is actually a cube root, since you need a cube root to cancel out the cube.

C, y = 5

Step-by-step explanation:

125 = 5 × 5 × 5 = 5^3

5 × 5 × 5 = 25 × 5 = 125.

Therefore the cube root of 125 = 5.

It REALLY helps when you break these into factors.

[tex] \sqrt[3]{125} = 5 , \: as \: {5}^{3} \: = 125 [/tex]

This is essentially asking what multiplied by itself three times is equal to 125.

Process of elimination can be used for any number cubed that is ≠ 125

i.e : 11.2^3 ≠ 125

11.2^3 = 11.2 × 11.2 × 11.2 = (11.2-1.2)(11.2+1.2)(11.2) = (11.2)((10)(12.4) + 1.2^2) = 124 + 1.44 = (125.44)(11.2) = 125.44(10+1+(2/10)) = 1254.4 + 125.44 + 25.088 = 1404.928 ≠ 125, y ≠ 11.2

I.e : 25^3 = 25 × 25 × 25 = 625 × 25 = (600+25)(25) = 625 + 6(25)(100) = 15000 + 625 = 15625 ≠ 125, y ≠ 25.

And i.e: 15^3 = 15 × 15 × 15 = 225 × 15 = (225)(10+5) = 225(10) + 225(10/2) = 2250 + 2250/2 = 2250 + 1125 = 3375 ≠ 125, y ≠ 15.

I am selling 900 yearbooks, making a total of $2820. The large yearbook pages cost $4 and the small cost $2.50. Find how many of each I sold. HELPPP PLS

Answers

Answer:

number of large year book sold = 380

number of small year book sold =520

Step-by-step explanation:

Let the no. of large year book pages be x

given that

cost of 1 large year book = $4

cost of x large year book = x*cost of 1 large year book = $4x

Let the no. of small year book pages be y

given that

cost of 1 small year book = $2.5

cost of y small year book = y*cost of 1 large year book = $2.5y

also,

total year books sold were 900

no. of small year book + no. of small year book = 900

x + y = 900

y = 900 - x ------------------>1

also total money made by selling large and small year book = $2820

cost of x small year book + cost of x large year book = 2820

4x + 2.5y = 2820

using y = 900 - x in above equation

4x + 2.5(900-x) = 2820

4x + 2250 - 2.5x = 2820

1.5x = 2820-2250 = 570

x = 570/1.5 = 380

Thus,

number of large year book sold = 380

number of small year book sold = 900-380 = 520

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