The perimeter of a square is 54 cm.Find the length of a diagonal, rounding to the nearest tenth

The Perimeter Of A Square Is 54 Cm.Find The Length Of A Diagonal, Rounding To The Nearest Tenth

Answers

Answer 1

Answer:

19.09 = 19.1

Step-by-step explanation:

we can split the square into two right triangles. Becasue the perimeter of the square is 54cm, we know the each side is 13.5 cm (54cm / 4). Using the pythagoras theorem, the diagonal is 19.1 cm.


Related Questions

A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?

Answers

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

We can use ratio sine here. Let the angle of elevation be theta.

In ∆ ABC :-

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

Hence the angle of elevation is sin -¹ ( 10/11).

. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.

Answers

Answer:

x = 30

Step-by-step explanation:

These angles form supplementary angles meaning they add up to 180°.

[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]

Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent

the number of hours he worked in June. Which expressions represent the amount of money, in dollars, Carlos

earned in May and June? Select all correct answers.

Answers

Answer: 11z + 11y

Step-by-step explanation:

Carlos earns his pay by the hour. That means that to find the cash made in a given month, the formula is:

= Carlos payment per hour * Number of hours worked in a month

In May he worked z hours:

He earns $11 per hour and works z hours, expression for earnings for the month is:

= 11 * z

= 11z

In June he worked y hours:

= 11 * y

= 11y

The total he earned in both May and June is:

= 11z + 11y

The expressions represent the amount of money, in dollars, Carlos  earned in May and June is 11z + 11y.

Given that,

Carlos earns $11 per hour at his job. Let z represent the number of hours he worked in May. Let y represent  the number of hours he worked in June.

Based on the above information, the calculation is as follows:

For May it is 11z

For June it is 11y

So, total it should be

11z + 11y

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Pls help me with this one

Answers

Answer:

c

Step-by-step explacnation:

Answer:

D

Step-by-step explanation:

-59 Points!-

Below, the two-way table is given for a class of students.

^^^^^ (photo attached)

If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%

Answers

Answer:

Solution given:

total female [T]=3+4+6+3=16

n[senior female]=3.

probability the student is a senior given that it's

female:[tex] \frac{n[senior female]}{total [T]} [/tex]

:[tex] \frac{3}{16} [/tex]

:[tex] \frac{3}{16} [/tex] is a probability.

Now percentage::[tex] \frac{3}{16}*100% [/tex]=18.75=19%

Answer:

18.75%. Rounding up: 19%

Step-by-step explanation:

From the table : Total Females = 3+4+6+3 = 16

Number of female seniors = 3

If a student is selected at random find the probability the student is a senior given that it's a female:

P(Female | senior) = number of female seniors / total female  = 3/16 = 0.1875

In percent, 3/16 * 100 = 0.1875 * 100 = 18.75%

the probability the student is a senior given that it's a female.  = 18.75%, which round to nearest whole percent is 19%.

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Answers

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

5.08​, 1.99​, 4.54​, 4.83​, 3.2​, 1.99​, 4.36​, 4.8​, 4.78

What is the median?

Answers

Answer:

4.45

Step-by-step explanation:

it is ordered from highest to lowest

1,99   1,99  3.2   4,36  4,54 4,78  4,8  4,83

                          (2 numbers remain as medium)

is added and divided by 2

4,36

4,54

8,90/2=     4.45

i hope i have help you :)

f(n) = 2n− 5; Find f(−8)

Answers

Answer:

Step-by-step explanation:

Putting value of n = - 8 in the equation

F(n) = 2n− 5

F(-8) = 2(-8) - 5

= - 16 - 5 = - 21


Janet must paint her outdoor circular tabletop because it has rusted. The diameter of the table
is four feet. How many square feet of paint will she use to take care of the task

Answers

Answer:

12.56 ft²

Step-by-step explanation:

The area of the tabletop:

A = πr² = πd²/4 = 3.14*4²/4 = 12.56 ft²

Answer: my friend up there did it right

Step-by-step explanation:

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Answers

C
explanation:
6(1)-39=-33
6(2)-39=-27

4.
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Answers

Answer:

B 84 cm^2 is the surface area of tbe prism

Step-by-step explanation:

2.77777777778 simplified

Answers

Answer:

Step-by-step explanation:

Answer is in the pic I promise nothing bad.

2+2


I really struggle with this one plz help

Answers

2 + 2 = 22









Jk is 4 lol

Answer:

4

Step-by-step explanation:

lol ur kidding . of not u should work really hard :)

im sorry but i need help with this seriously difficult question










what is 1+1?

Answers

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

1+1 equals 2 ok are you a ok bye

Classify the pair of angles shown.​

Answers

Answer:

complementary angles

Step-by-step explanation:

The two angles add to 90 degrees, which means they are complementary angles

Write the name of the property shown by each equation. ( Commutative, Associative, Identity, Properties of Zero.

a. 3 x (2 x r)=(3 x 2 ) x r
b. 15 x 1=15
c. 12 x p=p x 12
d. 35 x 0=0
e. 0 divided by 76=0
f. (8 x9) x 12= 8 x (9x12)

Answers

Answer:

Step-by-step explanation:

a. Associative property

b. Identity property

c. Commutative property

d. Properties of Zero

e. Properties of Zero

f. Associative property

PLEASE I NEED THE ANDWER IN THE BEXT MINUTE

Answers

Answer:

Step-by-step explanation:

Radius = 28 : 2 = 14 cm

Area = radius^2 x π = 14^2 x π = 196 π cm^2

Answer:

The radius is 13

The area is 530.93

Step-by-step explanation:

To find the radius of a circle, you divide the diameter (26) by 2.

And I dunno abt the area :') I just used a calculator

How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7

Answers

Question isn't clearly stated.

The. Probability o

Answer:

Step-by-step explanation:

How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7

Given a six sided die : (1, 2, 3, 4, 5, 6)

Multiple of 3 = (3, 6) = 2

Getting a multiple of 3 on a single roll :

P(multiple of 3) = 2 / 6 = 1/3

Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.

Answers

Answer:

The answer is "0.1040"

Step-by-step explanation:

Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]

                          [tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]

Find the mean, median, mode, and range for the following numbers.

62,58,92,16,24
HELP ME PLS

Answers

Answer:

Mean: 50.4

Median: 58

Mode: None

Range: 76

Step-by-step explanation:

The mean is all the numbers added together and then divided by 5.

(62 + 58 + 92 + 16 + 24) ÷ 5 = 50.4

The median is the number in the middle. First, arrange the numbers from least to greatest and then pick the one in the middle

16, 24, 58, 62, 92

The mode is the number that appears the most. There is no mode in this data set because every number appears once.

The range is the biggest number subtract by the smallest number.

92 - 16 = 76

2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions

Answers

Answer:

D. infinitely many solutions

Step-by-step explanation:

to find how many solutions the equation have, we can solve it

here's the given equation:

2(2x-3)+6=4x

our goal is to isolate the variable onto one side

do the distributive property shown in the equation (multiply both 2x and -3 by 2)

4x-6+6=4x

combine like terms (add -6 and 6)

4x=4x

subtract 4x from both sides, as we still have the variable on both sides

0=0

0 is always equal to 0; that's an identity

if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions

Answer:

D. Infinitely many solutions.

Step-by-step explanation:

Ms. Biediger family wants to drive 750 miles. If they drive the same distance each day for 5 days what distance d, do they need to drive each day

Answers

5d=750
750/5=150
150(miles) x 5 (days) = 750(total miles)

The fifth term of an arithmetic sequence is 96. Which rule could define the sequence?

Answers

Answer:

a+4d = 96

Step-by-step explanation:

Given:  fifth term of an arithmetic sequence is 96

This means,  a+4d = 96

Where, a is the first term in the series and d is the common difference,

Since, the terms is 5th therefore we can say that

a+4d = 96

a = 96-4d

Answer:

B) an = 18n + 6

Step-by-step explanation:

4x²=9/16 Solve the equation and show your work.​

Answers

4*x^2 = 9/16 // - 9/16

4*x^2-(9/16) = 0

4*x^2-9/16 = 0

4*x^2 = 9/16 // : 4

x^2 = 9/64

x^2 = 9/64 // ^ 1/2

abs(x) = 3/8

x = 3/8 or x = -3/8

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Answers

Answer:

The last answer is it I think.

Step-by-step explanation:

Will name the brainliest

Answers

Answer:

A = 53° (Rounded to the nearest whole number)

Step-by-step explanation:

Since the angle needs to be found out and it's adjacent as well as hypotenuse is given we will used the Cosine ratio;

Cos(A) = [tex]\frac{26}{43}[/tex]

A = Cos⁻¹ ([tex]\frac{26}{43}[/tex])

A = 52.79 or 53

Hope this helps!

Someone plz help me giving brainliest

Answers

Answer:

I think 129 miles.... ..........

Answer:

129 miles

Step-by-step explanation:

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Answers

Answer:

1) SAS

2) SSS

3) SSA

4) ASA

5) No, not enough corresponding info given

Answer:

1) SAS

2) SSS

3) SSA

4) ASA

5) Sorry I don't know

Please mark me as the brainliest

can you help me with this please

Answers

Answer:

x = Adjacent    B). Tangent

Step-by-step explanation:

x = Adjacent

B). Tangent

Answer:

see explanation

Step-by-step explanation:

In relation to the angle 37°

The side opposite is labelled 14 → A

The adjacent side is labelled x → B

Using the trig function tangent would enable x to be found, that is

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex]

Dr. Nick has a large red fluffy dice hanging from the rear view mirror in his car. The length of one of the sides of that die is 6 inches. What is the total surface area of that die?

Answers

Answer:

Total surface area of Die = 216 inch²

Step-by-step explanation:

Given:

Length of one side of die = 6 inches

Find:

Total surface area of Die

Computation:

Total surface area of Die = Total surface area of cube

Total surface area of cube = 6(side)²

Total surface area of Die = 6(Length of one side of die)²

Total surface area of Die = 6(6)²

Total surface area of Die = 6(36)

Total surface area of Die = 216 inch²

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