What is the length of the hypotenuse of the triangle when x=10?
The length of the hypotenuse is about
Answers
Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
Answer:
84
Step-by-step explanation:
[tex] \sqrt{ {(40)}^{2} + {74}^{2} } = 84.1[/tex]
Related Questions
Ronald drank orange juice from a 500 ml bottle. He found that 2/5 was remaining. How much did he drink?
Answers
Answer:
200ml
Step-by-step explanation:
2/5 of 500ml
=2/5*500
=1000/5
=200ml
Graph the function.
f(x) = sin (pi*x/2)
Answers
Answer: is shown in the image blew
Step-by-step explanation:
Two angles of a triangle measure 75° and 40°. What is the degree measure of the third angle?
Answers
Answer:
the angles of a triangle always equal 180 so
75+40+x=180
115+x=180
-115
x=65
the other angle is 65
Hope This Helps!!!
65°
Step-by-step explanation:
let the third angle be x
so, sum of all angles of a triangle = 180°
x° + 75° + 40° = 180°
x + 115° = 180°
x = 180° - 115°
x = 65°
Hope it helps you!!What is the area of the shaded portion of the circle? (16π – 32) in2 (16π – 8) in2 (64π – 32) in2 (64π – 8) in2.
Answers
The area of the shaded portion is (16π - 32) in².
What is the area of the circle?The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter.
In the picture attached, the circle is shown.
The area of one-quarter of the circle is given by;
[tex]\rm = \dfrac{1}{4}\times Area\ of \ a \ circle \\\\= \dfrac{1}{4}\times \pi \times radius^2\\\\ = \dfrac{1}{4}\times \pi \times 8^2\\\\= 16\pi \ in^2[/tex]
The area of the triangle is given by;
[tex]\rm = \dfrac{1}{2} \times base\times height \\\\= \dfrac{1}{2} \times 8\times 8 = 32 \ in^2[/tex]
The area of the shaded portion is;
Shaded area = Area of one-quarter of the circle - Area of the triangle = (16π - 32) in²
Hence, the area of the shaded portion is (16π - 32) in².
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Ian says that if x < y, then | x | < | y |. Give one example where Ian's statement is true. Then provide one example that proves Ian's statement is not always true. hurry please! ill give brainliest
Answers
Solution:
Proving that Ian is not always true:
|x| < |y| (x and y must be positive)=> |-5| < |-4|=> 5 < 4 (False)Proving that Ian is sometimes true:
|x| < |y| (x and y must be positive)|4| < |5| 4 < 5 (True)This proves that:
If x and y are positive, Ian's statement will be true. If x and y are negative, Ian's statement will be false.4.1
Determine between which two whole numbers lies square root of 20
Answers
The square root of 20 is between 4 and 5.
Whole NumbersThey are the numbers represented by positive real numbers where the fractions and decimal numbers are not included.
For solving this question, you should list the whole numbers whose your square is less than 30. Your list must present the following numbers:
0 ⇒ 0²=0
1 ⇒ 1²=1
2 ⇒ 2²=4
3 ⇒3²=9
4 ⇒ 4²=16
5 ⇒ 5²=25
Note that 6²=36, it is greater than 30,because of this it is not in the previous list.
The question asks to determine between which two whole numbers lies the square root of 20. Therefore, from the previous list, it is possible to see that the value 20 is between 16 and 25. The square root of 16 and 25 is equal to 4 and 5, respectively.
Thus, the square root of 20 is between 4 and 5. You can check this results in your calculator:[tex]\sqrt{20}=2\sqrt{5}=4.47[/tex]
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Of the following, which statement or statements accurately reflect a way in which credit can be safer than cash? I. If your credit card gets stolen, you can cancel it and get your money back. II. It is harder to lose a single credit card than a large number of bills. III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges. A. I and III b. II only c. III only d. I, II, and III.
Answers
The statements, which accurately reflect a way in which credit can be safer than cash are statement I and III. Option A is correct.
What is credit card way of payment?Credit card is the card issued by the bank which can be used to borrow funds from the bank in order to make the payment of different bills.
Lets, check all the statement.
I. If your credit card gets stolen, you can cancel it and get your money back-This statement is the correct. Whenever the credit card gets stolen or lost, it can be cancelled. This feature makes it safer than the cash.II. It is harder to lose a single credit card than many bills-No, it is easy to lose a single credit cart than many bills.III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges-Yes, with the credit card, if the delivery of an item is not done, then one can easily call credit company to dispute the charges.Thus, the statements, which accurately reflect a way in which credit can be safer than cash are statement I and III. Option A is correct.
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Answer:
A
Step-by-step explanation:
edge
Which statement is TRUE when interpreting the ratio of out-of-state fans attending the game to the total number of fans attending? A) 32 out of every 79 fans attending were out-of-state fans B) 47 out of every 79 fans attending were out-of-state fans C) more than 47 out of every 79 fans attending were out-of-state fans D) at least 32 out of every 79 fans attending were out-of-state fans
Answers
Answer:
i believe it is either A/B but i think A
Step-by-step explanation:
Priya spends $42 a week on coffee and donuts across 5 days. She
spends the same amount on doughnuts each day. If she spends 30 dollars on coffee, how much does
she spend on doughnuts each day?
Pls help
Answers
If she spends $42 a week on coffee and every day she spends the same amount (I don't see this in the question, only doughnuts.), then $30 can get her 30 : 42 = 5/7 of a week of coffee -> 5 days.
So, she spends 5 days on coffee -> she must also spend 5 days on doughnuts
And since she spends 30 dollars equally everyday, she spends 30 : 5 = $6 everyday on doughnuts
Kylie works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.
What is the probability that the first CD that Kylie pulls from the box will NOT be hip hop?
Answers
Answer:
Total number of CDs= 10+5+12+3=30
Number of jazz CD= 3
Total number of outcomes that Kyle will select a jazz CD from the box= 3C1= 3!/1!2!= 3
Total number of outcomes for any CD = 30C1 = 30!/1$29! =30
Hence, the probability of picking jazz CD =3/30 = 1/10 0.1
Now since, one CD is out, the total number of CD left = 29
No. of country CD= 10
Total number of outcomes that Kyle will select a country CD from the box= 10C1= 10!/1!9!= 10
Total number of outcomes for any CD(one is out) = 29C1 = 29!/1$28! =29
Hence, the probability of picking country CD =10/29 = 0.344827
Step-by-step explanation:
Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Speed (miles per minute)
Time (minutes)
х
(miles per minute)
Answers
Answer:
The top one would be the answer
math... if u teach how to give brainiest I WILL GIVE BRAINLEIST
Answers
Answer:
C
Step-by-step explanation:
Because They Have $20. They need to have $160. 160-20= $140
If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?
Answer choices:
25-gon
Heptagon
50-gon
Hexagon
Answers
A regular polygon with exterior angle of 7.2 degrees is a 50-gon.
Regular polygonRegular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.
The formula to find the number of sides of a polygon using exterior angle is as follows:
exterior angle = 360 / nwhere
n = number of sides
Therefore,
7.2 = 360 / n
cross multiply
7.2n = 360
divide both sides by 7.2
n = 360 / 7.2
n = 50
The polygon has 50 sides. Therefore, it is a 50-gon
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please answer
u dont need a explanation
Answers
The answer is D
Hope this helped
Question:
A baseball stadium has a fixed cost of $12,000 per night game. In addition, there is a total cost of $2 for each
fan that attends the game that evening. If the total cost to the stadium that night was $30,000, how many
people attended the game?
A
O 10,000
O 8,000
O 7,000
0 9000
Answers
Answer:
O 10,000
Step-by-step explanation:
because i guessed lol
please find the answer of question number c please fast
Answers
Answer:
a) = 1007
b) =403.75
Step-by-step explanation:
Selling price is the amount at which an article or product is sold. It is represented by SP. The formula of S.P. can be given in terms of Profit or Loss as- 1. If S.P. is greater than C.P. which is the cost price of the item then a profit is gained by the shopkeeper.
a)
[tex]cp = 950 \: gain \: = 6\% \\ 950 \times \frac{6}{100} \\ \frac{950}{1} \times \frac{6}{100} \\ \frac{5,700}{100} \\ = 57 \\ add \: 57 \: to \: the \: original \: price \\ = 950 + 57 \\ = 1,007[/tex]
b)
[tex]cp \: = 380 \: gain \: = 6 \frac{1}{4} \\ cp = 380 \: gain \: = 6.25 \\ 380 \times \frac{6.25}{100} \\ \frac{380}{1} \times \frac{6.25}{100} \\ \frac{2,375}{100} \\ = 23.75 \\ add \: 23.75 \: to \: 380 \\ = 23.75 + 380 \\ = 403.75[/tex]
guys cmon i need the answerrrrr
also dont forget the way
Answers
2 part :-
SA = 6 side²
SA = 6 × 8²
SA = 6 × 64
SA = 384 cm²
Add.
4 7/12 + 2 3/4 + 7 5/12
A.) 13 3/4
B.) 14 1/4
C.) 14 3/4
D.) 15 1/4
Answers
Find the common ratio of the geometric sequence. 9,-18, 36, -72
Answers
Answer:
according to me its just multiplying with the number ( -2)
like 9×(-2) = -18
36×(-2) = -72
r=-2
try to observe the following solution
In ΔDEF, the measure of ∠F=90°, DF = 55, FE = 48, and ED = 73. What ratio represents the tangent of ∠D?
Answers
Answer:
[tex]\frac{48}{55}[/tex]
Step-by-step explanation:
In problems like this, it always helps to draw a picture.
-> See attached for the picture I drew (not to scale)
Now, the trigonometric function tangent can be found with opposite / adjacent
When looking at ∠D, the opposite side if 48 and the adjacent side is 55.
O / A = 48 / 55
if the height of a rectangular prism is decreased by a scale factor of 1/2 how will the volume of the prism change????????
Answers
Answer:
Decrease by half.
Step-by-step explanation:
Let's say the length, width, and height is x,y,z respectively.
V = xyz
Now, when z is decreased by half, we get xyz : 2 which can either be written as (xyz) : 2 or xy(z:2)
So in short, if the height decrease by half, the volume will decrease in half.
please help asap
I put a photo
Answers
Answer: try asking a parent or teacher
Step-by-step explanation: try asking a trusted adult or teacher to try to figure out how
Nikki has four nail clients and each
appointment is 90 minutes. If she
starts at 9 a.m. and takes a 30-
minute lunch, what time will she
finish her clients?
Answers
Answer:
If you work over 5 hours in a day, you are entitled to a meal break of at least 30 minutes that must start before the end of the fifth hour of your shift.
Step-by-step explanation:
Which of the lines below has a slope of zero?
A. Line A
B. Line B
C. Line C
D. Line D
Answers
Answer:
B
Step-by-step explanation:
slope means the line is the amount of movement up or down, but b is not doing either, thus the slope is 0
Answer:
B
Step-by-step explanation:
Every other line has a slope except B
I am thinking of two numbers. The sum of the two is 10 and the difference is 2
Answers
Answer:
4 and 6
Step-by-step explanation:
First, let's find all the pairs that add up to 10.
1 + 9, 2 + 8, 3 + 7, 4 + 6, and 5 + 5Next, we find the difference between the addends for each pair.
9 - 1 = 88 - 2 = 67 - 3 = 46 - 4 = 25 - 5 = 0As you can, see the numbers that add to 10 and have a different of 2 is 4 and 6.
helpppp meeeee please
Answers
PLEASE ANSWER WILL GIVE 75 POINTS!!!!!
Answers
Answer:
[tex]\frac{4}{33}[/tex] and [tex]\frac{1}{27}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x = [tex]\frac{12}{99}[/tex] = [tex]\frac{4}{33}[/tex] ← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x = [tex]\frac{37}{999}[/tex] = [tex]\frac{1}{27}[/tex] ← in simplest form
You decide to treat your family to dinner. Everyone wants wings, so you open up your Uber Eats app. The bill comes out to $59. 99. There is a 3% service fee and you tip 20%. How much have you paid all together if there is also 7% tax?.
Answers
The paid amount including service fee, tip, and tax is $77.987.
what is the percentage?the percentage is value per hundred.
bill value = $59.99
service fee = 3% of $59.99 = 59.99*3/100 = $1.7997
tip = 20% of 59.99 = $11.998
tax = 7 % of $59.99 = $4.1993
total payment = 59.99+1.7997+11.998+4.1993 = $77.987
therefore, the paid amount including service fee, tip, and tax is $77.987.
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Gabriel used the expression 2. 5x 2y – 2 to represent his total cost, and 28 – 2. 5x – 2y to represent the amount of change he should receive from $30. What was Gabriel’s error?
Answers
The error made by the Gabriel in calculating the change amount, is that he subtract the $2 instead of adding $2.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The expression used by the Gabriel to represent his total cost is,
[tex]2.5x+2y - 2[/tex]
As, Gabriel has to receive the change amount of $30. Thus, he has to subtract this amount from the total cost. This statement can be present as,
[tex]\rm Change=30-(2.5x+2y - 2)\\\rm Change=30-2.5x-2y + 2\\\rm Change=32-2.5x-2y[/tex]
Now, the expression used by him to represent the amount of change he should receive from $30 is,
[tex]28 -2.5x - 2y[/tex]
Hence, the error made by the Gabriel in calculating the change amount, is that he subtract the $2 instead of adding $2.
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Anyone know how to do this ????
Answers
There you go. Hope this helps.
