In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left

Answers

Answer 1

Answer:

97.96 cm

596.14 cm²

Step-by-step explanation:

sides become:

30 cm ⇒ 16 cm25 cm ⇒ 11 cm

and added corners:

4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cm

then perimeter is:

P= 2*16+2*11+43.96= 97.96 cm

the area left is:

A= 30*25- 4*1/4*3.14*7²= 596.14 cm²


Related Questions

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

0, 1

Step-by-step explanation:

The discriminant is b² - 4ac where we have ax² + bx + c, in this case a = -4, b = 12, c = -9 so D = 12² - 4(-4)(-9) = 0.

Because the discriminant is 0 that means that f(x) only has one solution for x meaning that it has only 1 x-intercept.

what is the quotient of x^2-9x+14/x-7

Answers

x-2 is the quotient!

Write an integer that represents this scenario:

18-point gain

Answers

Answer:

+18

Step-by-step explanation:

A gain is a positive number

+18

Answer:

+18

Step-by-step explanation:

Neg = Drop

Pos = Gain

Gain so +

+18

The bar graph shows the results of rolling a number cube (a die) 50 times. What is the probability of rolling an odd number? How does this compare with the theoretical probability of rolling an odd number?


Experimental Probability. Theoretical Probability

P(odd) = % P(odd) = %

Answers

Answer:

[tex]\fbox{\begin{minipage}{12em}52 percent and 50 percent \end{minipage}}[/tex]

Step-by-step explanation:

Given (as shown in graph):

The results of rolling a number cube (a die) 50 times.

Rolling 1: 10 times

Rolling 2: 4 times

Rolling 3: 8 times

Rolling 4: 11 times

Rolling 5: 8 times

Rolling 6: 9 times

Solve for:

The probability of rolling an odd number (1, 3, 5).

Solution:

Step 1: Define the formula for calculating the probability

P = number of elements/total number of elements

Step 2: Perform the calculation

1) Theoretically, a fair die of 6 sides would give the equal chance to obtain 1, 2, 3, 4, 5, 6.

According to the formula in step 1, the number of elements in both cases are the same (odd: 1, 3, 5 => 3 elements, even: 2, 4, 6 => 3 elements, the total element is 1, 2, 3, 4, 5, 6 => 6 elements).

=> P(obtain odd number theoretically) = P(obtain even number theoretically) = 50%

2) Experimentally, apply the formula in step 1, we have:

The number of elements = Times of rolling 1 + Times of rolling 3 + Time of rolling 5 = 10 + 8 + 8 = 26

The total number of rolling: 50

=> P(obtain odd number in experiment) = 26/50 = 0.52 = 52%

Hope this helps!

:)

Answer:

^ That is correct guys

Step-by-step explanation:

GOOD LUCK

a rectangular inflatable swimming pool is 2 [tex]\frac{4}{5}[/tex] yards long, 2 yards wide, and [tex]\frac{3}{5}[/tex] yard tall. What is the volume of the pool? Round to the nearest tenth

Answers

Answer:

3.4 yd^3

Step-by-step explanation:

The volume is

V = l*w*h

V = 2 4/5 * 2 * 3/5

Changing the mixed number to an improper fraction

2 4/5 = ( 5*2+4)/5 = 14/5

V =  14/5 * 2 * 3/5

  = 84/25

Changing back to a mixed number

3*25 = 75 with 9 left over

3 9/25

3.36 yd^3

To the nearest tenth

3.4 yd^3

Answer: 3.4 yards cubed, after rounding.

Step-by-step explanation:

To find the volume of a rectangular prism, use the following formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height

Substitute the values given to you into the formula:

[tex]V = 2 * \frac{3}{5} * 2\frac{4}{5}[/tex]

Simplify the mixed number by multiplying both the numerator and denominator of 2/1 by 5 to get 10/5 and add it to the fraction to get 14/5.

[tex]V = \frac{2}{1} * \frac{3}{5} * \frac{14}{5}[/tex]

Now, multiply the numerators and denominators of the fractions and simplify:

[tex]V = \frac{2 * 3 * 14}{5 * 5}\\\\V = \frac{84}{25}\\\\\\V = 3.36[/tex]

The volume is 3.36 yards cubed. Round to the nearest tenth to get 3.4 yards cubed.

Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!

Answers

Answer:

John = 82 Billy = 82 Gregg = 80 Bob = 55

Step-by-step explanation:

John = (3x38)+(2x0)-(2x8)-(2x8)

Billy = (3x30)+(2x4)-(2x3)-(2x5)

Gregg = (3x30)+(2x3)-(2x4)-(2x4)

Bob = (3x25)+(2x6)-(2x9)-(2x7)

Wanda jumped rope 25 times every minute. What is the algebraic equation to express the function of the total number of times Wanda jumped rope? A. m = 25j B. m + j=25 C. 25 = j - m D. j = 25m

Answers

The answer is a m=25j

Answer:

I think it's A) bro,

Step-by-step explanation:

on the test write now soooo...

Which notations accurately represent the range?
Check all that apply.
(-∞ 2) U (2, ∞)
(-∞, -2) U (-2, ∞)
{yly E R, Y ≠ -2}
{yly E R Y≠2}
y<2 or y> 2
Y<-2 or y> -2

Answers

Answer:

y < 2 or y > 2 and {y|y ∈ R, y ≠ 2}, (–∞, 2) U (2, ∞)

Step-by-step explanation:

these are the answers i got it right


Which shows the fractions in order from greatest to least?

A.5/10,1/4,3/4,5/7
B. 3/4,5/7,5/10, 1/4
C. 5/10,5/7,3/4,1/4
D.1/4, 3/4, 5/7,5/10

Answers

Answer:

Step-by-step explanation:

D

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24. Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

Answers

Answer:

The right option is twelve-fifths

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

Answer:

The correct answer is option C. 12/5

Step-by-step explanation:

Hope this helps!

Brainliest would be greatly appreciated :D

5+(8×5)+72÷8 !? what is the answer please ​

Answers

Answer:

54 is the answer

Step-by-step explanation:

5+(8x5)+72/8

5+40+9

54

5 + 40 + 72\8

5 + 40 + 9

45 + 9

54

Can you please help

Answers

Pyramid
B=36
h=4
(36*4)/3=48

Prism
B=144
h=3
V= (bh)= 432

answer= 432+48 =480

pleaseee help me w dis!!! marking brainiest!!!

Answers

Answer:

x = -8  x=1

Step-by-step explanation:

x^2 +7x = 8

Subtract 8 from each side

x^2 +7x -8 =0

Factor

What 2 numbers multiply to -8 and add to 7

8*-1 = -8

8+-1 = 7

(x+8)(x-1) =0

Using the zero product property

x+8 =0  x-1 =0

x = -8  x=1

i need help pls asap!!

Answers

Answer:

No, Electric Pole is 40 ft

Step-by-step explanation:

tan 66.8° = [tex]\frac{x}{15}[/tex]

x = 35

but that is from the top of Danny, so you need to add 5 (his height)

Electric Pole is 40 ft

What is 2 with an exponent of -2 equal to?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

[tex] \boxed{\frac{1}{4} } [/tex]

Step-by-step explanation:

[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]

[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]

A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth.

Answers

Answer:

7.96 ft

Step-by-step explanation:

Given;

Length of ramp L = 8 ft

Angle with the horizontal (ground) = 6°

Applying trigonometry;

With the length of ramp as the hypothenuse,

The horizontal distance d as the adjacent to angle 6°

Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;

Cosθ = adjacent/hypothenuse

Substituting the values;

Cos6° = d/8

d = 8cos6°

d = 7.956175162946

d = 7.96 ft

The building is 7.96ft away from the entry point of the ramp.

Please help ASAP! Which ordered pair is a solution of this
equation?
-5x - 9y = -8
Click on the correct answer
A.
(2,-1)

B.
(-1,2)

C.
(-22)

D.
(2,-2)

Answers

Answer: Choice C.  (-2,2)

========================================================

Explanation:

For each possible answer choice, you'll plug in the given coordinates to see which results in a true equation or not.

If we try choice A, then we plug in x = 2 and y = -1 to get

-5x-9y = -8

-5(2)-9(-1) = -8

-10+9 = -8

-1 = -8 which is false

So (x,y) = (2,-1) is not a solution. We can cross choice A off the list.

You'll find a similar situation happens with choices B and D. They don't work either.

-------

Choice C works because...

-5x-9y = -8

-5(-2)-9(2) = -8 .... replaced x with -2, replaced y with 2

10-18 = -8

-8 = -8

We get a true equation. So (-2,2) has been confirmed to be a solution.

Subtract 4x4 + 2x² +5 from the sum of 2x4 - 4x2–3 and 3x4 - 3x² +9.

Answers

Answer:

x^4-9x²+1

Work:

IThe first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
72, 24, 8, ...
Find the 8th term.

Answers

Answer: the eight term is 8/243

Step-by-step explanation:

Each term in this geometric sequence is equal to the previous term, divided by 3.

72,24, 8

a = 72, r = 1/3

a = first term, r is common ratio

tn = ar^n-1

t8 = 72÷ 3^8–1

t8 = 72÷ 3^7

= 72/ 3^7

= 8/243

Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago? Which of the following represents the given word problem if "P" represents the population ten years ago? 2(P + 10) = 12,000 2P = 12,000 P = 2(12,000)

Answers

Answer:

2p=12,000

Step-by-step explanation:

Answer ASAP, please!!!!!! Will mark brainliest!!!!! 25 points!!!!!
Explain how the Distributive Property can be used to expand the expression on the left side of the equation.
3(x + 4) = 36.
A. Add 3 to each term inside the parentheses.
B. Subtract 3 from each term inside the parentheses.
C. Multiply each term inside the parentheses by 3.
D. Divide both terms inside the parentheses by 3.

Answers

Answer:

C

Step-by-step explanation:

The 3 is directly outside the parentheses, meaning you need to distribute the 3 to the x and the 4 because they are inside the parentheses. There is no addition, subtraction, or division involved in this so C is correct.

Answer:

C

Step-by-step explanation:

i took the test

ill mark u brainliest please help me!

Answers

Answer:

C

Step-by-step explanation:

Line AC is equal to line DF.

Answer: The answer is C

Step-by-step explanation:

The way it is written is very important

it goes

AB is to DE

BC is to EF

AC is to DF

Given the points (-2,-4) and (-3,-5) what is the slope

Answers

Answer:

1/1

Step-by-step explanation:

Please help me I need to finish today!

Answers

Answer:

C

Step-by-step explanation:

For Youfang, the time spent running is equal to 15 times the week

find the value of each trigonometric ratio part 3​

Answers

Answer:

hope this helps you

an elevator moves at a rate of -5.8 feet per second from a height of
300 feet above the ground. the elevator takes 3 seconds to make its first stop.
how many feet above the ground is the elevator now?

Answers

Answer:

282.6 ft

Step-by-step explanation:

First you must figure out how far the elevator drops in three seconds.

To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4

now you subtract 17.4 from 300 to get 282.6 ft

Find the slope of the line y=5x+4

Answers

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

Slope = 5

Answer:

5

Step-by-step explanation:

Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.

please answer asap! A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 125 trials that you can use to model the genders of the children. Write your answers as numbers.

Answers

Step-by-step explanation:

The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.

Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.

What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.

Doing this 125 times, we obtain the number of trials we desire.

For each trial, we get for each child, C:

C1: X + (X or Y)

C2: X + (X or Y)

C3: X + (X or Y)

C4: X + (X or Y)

C5: X + (X or Y)

Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.

Help please this is due in a couple minutes!!!! Anyone know the answer??!!!?

Answers

Answer:

the second one

Step-by-step explanation:

correct me if it is wrong

6. A wire Il om long has a mass of 187 g. What is the mass of 7 cm of this wire?

Step by step explansion​

Answers

Answer:

119 g.

Step-by-step explanation:

11 cm has a mass of 187 g

So 1 cm has a mass of 187/11 g

7 cm ...............................  (187/11) * 7

= 17 * 7

=  119 g.

Other Questions
Which new technology was used as a weapon during World War I? *a - atomic bombsb - riflesc - poison gasd - cannon Which situation describes positive peer pressure? Ethans classmates frown when he speaks rudely in class. Siennas lab partners plan to copy a lab report from the internet. Isabellas girlfriends encourage her to date someone she does not like. Liams peers suggest that he eat junk food whenever they are together. Which set of points on the graph represents equivalent ratios?Please help me i dont know this question Need help with this asap plz Bookmark question for later Zoey is the CEO of a corporation she organized herself, and the corporation has 15 shareholders. The company operates in several states, as well as outside of the U.S. Her business consists mostly of training services for in-home medical care personnel. Her company would be a __________ corporation The sum of two fractions can always be written as a Which of the following reasons can be used to justify statement #4 in the proof?A Given B the vertical angle theorem C the alternative interior angle theorem D SSS In a painting, proportion is achieved through the use ofA. durable materialsB. balance and symmetryC. both symbolism and realismD. realistic detail What was a main motivating force for people moving to the city?A. Quality of life was better in the cityB. Abundance of manufacturing jobsC. City services and public transportationD. The art and culture present in the city You are driving on a public road and need to tum your vehicle around. You can use a three-point turnWhether the road is straight or curved, but not if the road is on a hill.in place of a U-turn, if there is a sign prohibiting a U-turn.O Only where U-turns are permitted, and only if the road is too narrow for your vehicle to make a U-turn and you cannot goaround the block. what happens when you combine Mg2 and NO3 La cosmologa japonesa y nrdica cree que la muerte tiene una forma honorable de seguir la vida, incluso ellos piensan que una buena muerte es el final de una vida virtuosa. Por qu esta mitologa no rechaza la muerte tanto como otras? A population of protozoa develops with a constant relative growth rate of 0.7781 per member per day. On day zero the population consists of six members. Find the population size after four days. (Round your answer to the nearest whole number.) P(4) find the circumference ...........of the milk was sour .( many of, all, all of) Wolford Department Store is located in midtown Metropolis. During the past several years, net income has been declining because suburban shopping centers have been attracting business away from city areas. At the end of the companys fiscal year on November 30, 2017, these accounts appeared in its adjusted trial balance. Accounts Payable $ 26,800 Accounts Receivable 17,200 Accumulated DepreciationEquipment 68,000 Cash 8,000 Common Stock 35,000 Cost of Goods Sold 614,300 Freight-Out 6,200 Equipment 157,000 Depreciation Expense 13,500 Dividends 12,000 Gain on Disposal of Plant Assets 2,000 Income Tax Expense 10,000 Insurance Expense 9,000 Interest Expense 5,000 Inventory 26,200 Notes Payable 43,500 Prepaid Insurance 6,000 Advertising Expense 33,500 Rent Expense 34,000 Retained Earnings 14,200 Salaries and Wages Expense 117,000 Sales Revenue 904,000 Salaries and Wages Payable 6,000 Sales Returns and Allowances 20,000 Utilities Expense 10,600 Hi-Tech, Inc., reports net income of $65.0 million. Included in that number are depreciation expense of $5.5 million and a loss on the sale of equipment of $1.5 million. Records reveal increases in accounts receivable, accounts payable, and inventory of $2.5 million, $3.5 million, and $4.5 million, respectively. What are Hi-Tech's net cash flows from operating activities? Due today please help ! How to say one to ten in Spanish Which supercontinent we're presented on Earth at the beginning at of the cretaceous periods. A, laurussia and Gondwana B.laurasia and Gondwana C.rodinia D.Pangaea