What would be the SUM of the lengths of the first and second diagonals rounded to the nearest whole number?

What Would Be The SUM Of The Lengths Of The First And Second Diagonals Rounded To The Nearest Whole Number?

Answers

Answer 1

Answer:

16 m

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = base² +altitude²

                      = 5² +6²

                      = 25 + 36

                      = 61

First diagonal = [tex]\sqrt{61}[/tex] = 7.81 m

Second diagonal² = first diagonal² + altitude²

                              = [tex](\sqrt{61})^{2}[/tex]  + 3²

                              = 61 + 9

                              = 70

second diagonal = [tex]\sqrt{70}[/tex] = 8.37 m

First diagonal  + second diagonal = 7.80 + 8.37 = 16.17 = 16


Related Questions

A bank's electronic management system lacks the ability to protect a client's confidential information. To what type of risk does this expose the client?

market risk
security risk
operational risk
credit risk

Answers

Operational Risk Hope this helps

Need help with this;

Answers

Answer:

See below

Step-by-step explanation:

Deposit amount P = $4200Interest rate r = 3 1/2% = 3.5% = 0.035 PA compounded semiannuallyCompound n = 2 per year

Calculations as per following questions

a. I = $4200*(0.035/2) = $73.5b. A = $4200 + $73.5 = $4273.5c. I = $4273.5*(0.035/2) = $74.79d. A = $4273.5 + $74.79 = $4348.29e. I = $4348.29 - $4200 = $148.29f. I = $4200*0.035 = $147

For what values of t can 2x^2+tx+10 be written as the product of two binomials?

Answers

What does binomials mean???

The value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

What is binomial?

A binomial expression is an expression that has two terms.

In order to get the value of t for which the given expression 2x²+tx+10 will be a product of two binomial. We need to find a number(A) that is when broken into two other numbers(B and C), the sum of these numbers(B and C) is the number itself(A). Also, the product of the two numbers is equal to the product of the rest two terms of the expression(2 and 10).

Therefore, the number that fulfills this condition is 9. Let's check by substituting the value of t as 9.

[tex]2x^2+tx+10\\\\= 2x^2+9x+10 \\\\= 2x^2+5x+4x+10\\\\ = x(2x + 5)+2(2x+5)\\\\= (x+2)(2x+5)[/tex]

Hence, the value of t for which the given expression 2x²+tx+10 will be a product of two binomial is 9.

Learn more about Binomial:

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Find the measure of the missing angle

A-53
B-67
C-120
D-60

Answers

Answer:

D-60

Step-by-step explanation:

All angles in a triangle add up to 180

Ika nilai rata-rata 20 orang murid adalah 7,5. Kemudian, seorang murid menyusul ulangan dan mendapatkan nilai 8. Berapa nilai rata-rata sekarang?

Answers

Answer:

Average grade now = 7.524

Step-by-step explanation:

Given - If the average score of the 20 students is 7.5. Then a student follows the test and gets a grade of 8.

To find - What is your average grade now?

Proof -

Given that,

Average score of 20 students = 7.5

So,

Total value of students = 20 × 7.5 = 150

Now,

Given that, One person added ang his grade is 8

So,

So Total value of 21 students = 150 + 8 = 158

Now,

Average score of 21 students = [tex]\frac{158}{21}[/tex] = 7.5238

∴ we get

Average grade now = 7.524

Find the perimeter of the rectangle in yards.

Answers

The perimeter is 288 yards

5.
Find the rate of change for the situation. You run 3 miles in one hour and 6 miles in two hours.


A. 3 miles

B. 3 miles per hour

C. 2 hours

D. 2 miles per hour

Answers

Answer:

c

Step-by-step explanation:

c

The momentum of a variable is represented by the rate of change. The rate of change for the situation is 3 miles per hour.

What is the rate of change?

The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.

Given the distance covered in one hour is 3 miles, while the distance covered in 2 hours is 6 miles. In the given case, the rate of change for the situation, therefore,

Rate of change = (6miles-3miles)/(2hours-1hour) = 3miles/hour.

Hence, the rate of change for the situation is 3 miles per hour.

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Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his score in the second innings?

Answers

Answer:

60 runs

Step-by-step explanation:

Given that:

Score in first innings = 30 runs

Change in score during second inning = + 30

The score in the second inning will be :

Score in first inning + change in score during second inning

30 + (+30)

30 + 30

= 60 runs

Find the common factors of the given terms:
2y, 22xy. Ok

Answers

Answer:

2y

Step-by-step explanation:

this is common factor of both the terms

because 2y divides both term

hope it helps

A number q divided by 5 is 8

Answers

Answer:

q = 40

Step-by-step explanation:

[tex]\frac{q}{5} = 8[/tex]

multiply 5 on boths sides:

[tex]\frac{q}{5} x 5 = 8 x 5[/tex]

q = 40

to check:

[tex]\frac{40}{5}[/tex] = 8

Answer:

q = 40

Step-by-step explanation:

5,10,15,20,25,30,35,40

1   2  3   4   5    6   7    8

Which of the following tables represent exponential functions?

Answers

The top left table is the right answer

Answer:

Step-by-step explanation:

it is the top 2

8.94427191 rounded to the neareast 10th

Answers

Answer:

8.9

Step-by-step explanation:

Answer:

the answer will be 8.9 if im not wrong

ill mark brainlist plss help

Answers

Answer:

5.86

Step-by-step explanation:

1 gram = 100 centigrams

The correct answer is : 5.86

Ms. Benson is making a jewelry box using 2 identical squares of wood and 4 identical rectangular pieces of wood, as shown below.



What is the surface area of the jewelry box in square inches (sq. in)?

Answers

Length of rectangles = 7 in.

Breadth of 4 rectangles = 3 x 4

                                          = 12 in.

Side of squares = 3 in.

Area of 4 rectangles = length x breadth

                                    = 7 x 12

                              = 84 sq. in.

Area of two squares = 2(side x side)

                                  = 2(3 x 3)

                                  = 18 sq. in.

Therefore, Surface area of the Jewellery box = 84 sq. in. + 18 sq. in.

                                                                              = 102 sq. in.

A plot of land is 3/8 mile by 2 1/4 miles. Spencer solves 3/8•2 1/4 to find the area of the land in square miles. Enter numbers to complete Spencer’s calculations for the area.

Answers

9514 1404 393

Answer:

23227

Step-by-step explanation:

The number 2 1/4 is split into the sum 2 + 1/4, then multiplied by 3/8. This gives ...

  [tex]\displaystyle\frac{3}{8}\cdot2\frac{1}{4}=\left(\frac{3}{8}\cdot\boxed{2}\right)+\left(\frac{3}{8}\cdot\frac{1}{4}\right)\\\\=\frac{6}{8}+\frac{3}{\boxed{32}}=\frac{24}{32}+\frac{3}{32}=\frac{24+3}{32}\\\\=\frac{\boxed{27}}{32}[/tex]

_____

Of course, fractions are multiplied in the usual way:

  [tex]\dfrac{a}{b}\cdot\dfrac{c}{d}=\dfrac{ac}{bd}[/tex]

Logan is doing a handstand dive from a 12 meter platform. The equation that
models the path of her dive is given by h -4.9t2 + 12, where t is seconds.
At what height will she be after 1 second?

Answers

7.1 meters
First replace t with 1
-4.9(1)^2+12
(1)^2= 1
-4.9 times 1 is -4.9
12-4.9=7.1
Hence 7.1 meters

Hope this helps!

FIND THE MEASURE OF THE MISSING ANGLE

Answers

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.

Area of composite shapes!!
Find the area
Its geometry
Due Tomorrow
Plz HURRY
Offering brainliest

Answers

Answer:

8/2=4

4*6=24

10*8=80

80+24=104

104

5. Using the factor tree, What are the prime factors of 36

Answers

Answer:

Step-by-step explanation:

A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².

plsss help me.................

Answers

Answer:

(X+4)(x-4)

Step-by-step explanation:

x^-16

=(X+4)(x-4)

Which of the following is a Prime Number? 9, 5,4 ​

Answers

Answer:

5

Step-by-step explanation:

9 = 1,3,9

5 = 1,5

4 = 1,2,4

Answer: 5

Explanation: 5 has only two factors they are 1 and 5 this makes it a prime number

I would appreciate brainliest if this was helpful and correct! :)

2) Find the median.
4,9, 1, 4, 6, 2, 3,1
A) 1 and 4
B) 3.5
C) 3.75
D) 8
pls help me show work

Answers

Answer:

3.5

Step-by-step explanation:

1-List the numbers from least to greatest

1, 1, 2, 3, 4, 4, 6, 9

2- Then cross off a number from each side unitl you ar with 3 and 4 in the middle.

3- Add 3+4 Together

7

4- Divide by two

3.5

Find m Please let me know if you could help me, with any more questions. I’m struggling in geometry. I wanna get back to doing sports again!

Answers

9514 1404 393

Answer:

  ∠C = 48°

Step-by-step explanation:

The two triangles are congruent by ASA. (The common side BD is between the angles marked congruent.) This means angles A and C have the same measure.

Angle A plus the two given angles will total 180°.

  ∠A = 180° -70° -62° = 48°

  ∠A = ∠C = 48°

Answer:

c=48°

Step-by-step explanation:

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

PLEASE HELP ME NOW!!!! 100 POINTS!!!
Decorative glass balls are being stored in a box. Each ball has a radius of 2 1/3 cm.

How many balls will fit in each layer of a box that is 20 cm by 15 cm?


7 balls

12 balls

48 balls

Answers

Answer: 12 balls i think

Answer:

answer is 12

Step-by-step explanation:

i took the quiz.

What is the answer I need help please

Answers

Answer:

7 rides

Step-by-step explanation:

38 - 10 (entrance fee) = $28 to spend on rides

if it's $4 per ride, we can divide the remaining money ($28) by the cost of each ride ($4)

28 / 4 = 7

Therefore, she can ride 7 rides

7 walks and a ticket

I'm from Mexico

Elizabeth invests $7567 in a savings account with a fixed annual interest rate of 5% compounded quarterly. What will the account balance be after 7 years?

Answers

Answer:

FV= $10,714.81

Step-by-step explanation:

Giving the following information:

Initial investment= $7,567

Number of periods= 7*4 = 28 quarters

Interest rate= 0.05/4= 0.0125

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 7,567*(1.0125^28)

FV= $10,714.81

Convert 121

5

to mixed fraction.​

Answers

Answer:

24 1/5

Step-by-step explanation:

I'm not sure if u meant 121/5 but I converted it and it's 24 as a whole number and 1/5 for the fraction

24 1/5

Find the missing values in the ratio table. Then write equivalent ratios.
5:3 ?:12 10/3:? ?:5

Answers

Answer:

5 15 10/3 7

3 12 12/3 5

Step-by-step explanation:

The missing values in the ratio table will be;

Pies         5       20      10/3   25/3

Cakes      3       12        2      5

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio table is;

Pies         5       x      10/3   z

Cakes      3       12     y       5

Now,

Since, The ratios are equivalent to each other.

Thus, We can solve to find the value of x, y and z as;

⇒ 5 : 3 = x : 12

⇒ 5/3 = x/12

Multiply by 12;

⇒ 5 × 12 / 3 = x

⇒ 20 = x

And, 5 : 3 = 10/3 : y

⇒ 5/3 = 10/ (3× y)

⇒ 5/3 = 10/3y

Multiply by 3;

⇒ 5 = 10/y

⇒ y = 10/5

⇒ y = 2

And, 5 : 3 = z : 5

⇒ 5/3 = z/5

Multiply by 5;

⇒ 25/3 = z

⇒ z = 25/3

Therefore, The missing values in the ratio table will be;

Pies         5       20      10/3   25/3

Cakes      3       12        2      5

Learn more about the ratio visit:

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Last week, Thomas ran 5 1/4 miles. This week, he planes to run 1/2 as far as he ran last week. How many miles does Thomas plan to run this week?

Answers

Answer:

2.625

Step-by-step explanation:

Last week Thomas ran 5 1/4 miles

This week he plans to run 1/2 miles as far

Therefore the number of miles he plans to run cann be calculated as follows

= 5 1/4 × 1/2

= 21/4 × 1/2

= 21/8

= 2.625

Hence Thomas plans to run 2.625 miles

At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?

Answers

Answer:

62.5 %

Step-by-step explanation:

The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups  = 25 + 15 = 40

So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%

p = 25/40 × 100%

p = 25/4 × 10 %

p = 6.25 × 10 %

p = 62.5 %

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