A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.
A. 0.1 meter
B. 0.5 meter
C. 1.0 meter
D. 4.8 meters
Answers
Use the Pythagorean theorem since you are working with a right triangle:
a^2+b^2=c^2a2+b2=c2
The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:
0.8^2+0.6^2=c^20.82+0.62=c2
Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):
0.64+0.36=c^20.64+0.36=c2
Add:
1=c^21=c2
Isolate c. Find the square root of both sides:
\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c
Simplify \sqrt{1}1 . Any root of 1 is 1:
c=c= ±11 *
c=1,-1c=1,−1
Related Questions
You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total
cost of the game?
Answers
Answer:
The total cost of the game is $23.60
Brianna is planting a sapling. The garden center recommended she stabilize the sapling with guy wires for the first few
months after planting. If Brianna places the guy wires 6 feet up the trunk of the sapling and 5 feet from the base, how
much total wire, to the nearest tenth of a foot, will she need for the two guy wires?
Answers
Answer:
your answer would be 7.8 feet
The number of people using an older version of a spreadsheet program decreases at a rate that is proportional at any time to the number of people still using the version at that time.
There were 10,000 people using the older version of the spreadsheet program when the new version first came out. The number of people still using the older version decreases by 20%, percent every 6 months.
Answers
Answer:
5842 people after 2 months
Step-by-step explanation:
Given
Initial Value: [tex]a =10000[/tex]
Rate: [tex]r = 20\%[/tex] every 6 months
Required
Number of people using it after 2 months
The function follows an exponential model.
So, we need to first write out the function.
If Rate: [tex]r = 20\%[/tex] every 6 months
Then
Rate: [tex]r = 40\%[/tex] after 1 year
[tex]r = 0.04[/tex]
The function is represented as:
[tex]y = ar^x[/tex]
So:
[tex]y = 10000 * 0.04^t[/tex]
For 2 months, we have:
[tex]t = 2\ months[/tex]
Convert to years
[tex]t = \frac{2}{12}[/tex]
[tex]t = 0.167[/tex]
[tex]y = 10000 * 0.04^t[/tex]
[tex]y = 10000 * 0.04^{0.167}[/tex]
[tex]y = 5842[/tex]
6. Write an inequality that is represented by the graph. (A.REI.D.12)
8
6
4
2
0
-8
-6
24
2
6
-2
-2.
4
16
Answers
Answer:
sdsdsddssssssssssssssssssssss
Step-by-step explanation:
sddsdssdsdds
Through:(2,-5),slope=3/2
Answers
What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.] ROTOR + LEVEL ----------- STATS
Answers
Answer:
HI!
Step-by-step explanation:
HOLA
What is the area of a rectangle? Pls help and I will mark brainliest!
Answers
Answer:
A. 168 units²Step-by-step explanation:
Find the missing side of the rectangle, use Pythagorean:
b² = 25² - 7² = 576b = √576 = 24 unitsFind area of rectangle:
A = abA = 7*24 = 168 units²Correct choice is A
6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft
I a) Yes
b) No
Answers
Answer:
No
Step-by-step explanation:
the sum of the two shorter sides must be greater than the longer side
(not even if it is equal to, as in this case)
Here are some formulas to see if 3 sides can make a triangle...
[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]
So a=3
b=5 and c=8
3+5=8
So no it can't.
can you please help me
Answers
Answer:
1. (x-2)(x-15)
2 (3x-4)(x+2)
3. cannot factor
Step-by-step explanation:
math papa greatest website for math equations.
I NEED HELP now pls pls
Answers
Q1) AC = √4.8²+3.6²
= √36
= 6cm
Q2) AB= √17.55² - 6.75²
= √262.44
= 16.2cm
Q3) BC= √14² - 6²
= √160
= 12.64911
= 12.6 cm (to 3sf)
Answer:
1) AC = 6 cm
2) AB = 16.2 cm ( note that ^{2} is = square and \sqrt{ this is = square root)
3) BC = 12.65cm
Step-by-step explanation:
1) a^{2} + b^{2} = c^{2}
4.8^{2} + 3.6^{2} = AC^{2}
36 = AC^{2}
\sqrt{ }36 = AC
AC = 6
2) a^{2} + b^{2} = c^{2}
AB^{2} + 6.75^{2} = 17.55^{2}
AB^{2} = 308.0025 - 25.5625
AB = \sqrt{ }262.44
AB = 16.2
3) a^{2} + b^{2} = c^{2}
BC^{2} + 6^{2} = 14^{2}
BC^{2} = 196 - 36
BC = \sqrt{ } 160
BC = 12.65
I hope this helps a little bit.
Aidan rollerblades 540 ft per min. at this rate how far in yards will he rollerblade in 5 min( 1 yd =3 ft)
Answers
Answer:
900 yards
Step-by-step explanation:
540/3=180
180x5=900
solve the equation:
-1/2 (t+3) -10 = -6.5
Answers
t = - 10
Hi can someone tell me what this is in y=mx+b please?
Answers
Answer: y= 5x +7
Slope is rise over run. From the two given points we rise 10 and run 2 which is 10/2 or 5.
7 is how high/low we are when we are at x=0
Answer:
Hi!
y= 5x+7
The five is the slope and i counted from the point on the y axis until the next point on the line. Which is 10/2. simplified that is 5/1 or just 5.
The seven in where the line intercepts the y axis.
Hope this helps! Have a good day and don't forget to be tiger fierce!! :)
identify the tranfermatoin plz hury
Answers
Answer:
Rotation
Step-by-step explanation:
If that is an option
What is the greatest common factor of 45x^3, 24x^2, and 16x?
Answers
Answer:
[tex]\huge\boxed{\sf GCF = x}[/tex]
Step-by-step explanation:
Firstly we'll factorize the terms:
45x³ = 3 * 3 * 5 * x * x * x
24x² = 2 * 2 * 2 * 3 * x * x
16x = 2 * 2 * 2 * 2 * x
The factor which is common in all three terms is:
= x
Hence GCF = x
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Which expression represents the perimeter of a rhombus with diagonal lengths 8a and 10a?
Answers
Answer:
4a[tex]\sqrt{x}[/tex]41
Step-by-step explanation:
12*2+9x2= Perimeter.
The perimeter P of rhombus is given as
[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]
The diagonals of rhombus bisect each other at right angles and it has same perimeter as that of a square.
From this property stated above we can formulate side of rhombus is below in equation (1)
Side and diagonals of rhombus have following relation
[tex]\rm Let \; the \; side \; of\; rhombus = s\\Length\; of \; first \; diagonal = 8a\\ Length\; of \; second \; diagonal = 10a\\\\According \; to \; the \; identity\; for\; area \; of\; rhombus \\ s^2 = (p/2)^2 +(q/2)^2 ....(1) \\where \; p \; and\; q \; are\; the \; diagonals.[/tex]
so
[tex]\rm s^2 = (10a/2)^2 + (8a/2)^2\\s^2 = 25a^2 + 16a^2 = 41 a^2 \\s= \sqrt{41}a ......(2)[/tex]
Equation (2) represents side of rhombus
So the perimeter P of rhombus is given as
[tex]\rm P = 4\times s[/tex]
[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]
The perimeter P of rhombus is given as
[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]
For more information please refer to the link below
https://brainly.com/question/24438053
2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j
Answers
The length of a rectangular driveway is 3 times its width. If the length is 7 % yards, find
the length of the driveway and the area of the driveway.
Answers
Answer:
3 x 7 and 1/6 = 21 and 1/126
Step-by-step explanation:
your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.
0.54 + 17/100 = blank/100 + 17/00
Answers
Answer:
54 i think
Step-by-step explanation:
Answer:54
Step-by-step explanation:
The decimal 0.54 is equal to 54/100
What type of angle is ∠1?
obtuse
right
acute
straight
Answers
Answer:
acute angle
Step-by-step explanation:
acute angle because it is under 90°
If the angle measure is less than 90 degrees then it's acute, if it is equal to 90 degrees it's right or square, if it's more than 90 degrees it's obtuse, and if it's equal to 180 degrees it's a straight angle but in this case it's straight and obtuse since 180 is greater than 90.
Please answer both it will really help
Answers
8. Addition and subtraction signs is the best answer choice, im not sure what the bottom one says
Hope this helps!
I commented on one of ur other problems haha, u just replied, good luck tho!!
The Hot Dog Eating Contest
10 people entered the hot dog eating contest to see who could eat the most hot dogs in 15 minutes.
Each person was given a number and 10 bags of cooked hot dogs that contained 10 hot dogs per bag.
Person #1 ate 20 hot dogs
Person #2 ate 10 hot dogs
Person #3 ate 35 hot dogs
Person #4 ate 15 hot dogs
Person #5 ate 50 hot dogs
Person #6 ate 25 hot dogs
Person #7 ate 70 hot dogs
Person #8 ate 40 hot dogs
Person #9 ate 15 hot dogs
Person #10 ate 45 hot dogs
Altogether, how many bags of hot dogs were eaten during the contest?
Answers
Answer:
325 hot dogs were eaten during the contest.
Step-by-step explanation:
Just add all the hot dogs together. Wow, it's a lot though. :)
3x + 8 = 3x+
What value could you write in after 3x that would make the equation true for:
no values of x?
Answers
Answer:
any number except 8
Step-by-step explanation:
Identify the Property:
2(x + 6)
Commutative Property
Identity Property
Distributive Property
WILL GIVE BRAINLY
Answers
Answer:
its in a graph?
Step-by-step explanation:
I lied the first time. This is the last problem lol.
Answers
Answer:
y=10
Step-by-step explanation:
A line is 180°
6x10=60
120+60=180
Hope this helps :)
What two numbers have a sum of 13 and a product of -30 ?
Answers
Answer:
Check pdf
Step-by-step explanation:
Can anyone help? 110 degrees ,41 degrees , 40 degrees, x?
Answers
Answer:
11°
Step-by-step explanation:
This is hard to explain because they don't have names lol
So looking at the larger main triangle...
the top angle is composed of two angles measuring 40° and 41°. So it is equal to 81°.
The angle on the lower left side is a supplimentary angle with the one that measures 110°. The two of them combined make a line. A straight line is 180°, so that angle is 70°. (180 - 110)
The final angle in the triangle is accross from x. This makes them a pair of vertical angles, so therefore congruent.
The angles of a triangle add up to 180°
We already know the other two angles so 180 - 81 - 70 = 11°
so x is also 11°
The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. Which equation can you use to find the measure of ∠BCG? A. 60° + 35° = x B. 60° – 35° = x C. 60° + x = 35° D. 35° + x = 60° Part D The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. What is the measure of ∠BCG? Enter your answer in the box.
Answers
Answer:
60° + 35° = x
Step-by-step explanation:
The line CG is cutting the angle m<BCG to have m<BCF and m<FCG. Hence;
m<BCG = m<BCF + m<FCG
Given the following
∠BCF = 60°
∠FCG = 35°
Substitute
m<BCG = m<BCF + m<FCG
m<BCG = 60°+35°
hence the required expression is 60° + 35° = x where m<BCG is x
Convert each of the following into fraction
(a)
32%
Answers
Answer:
8/25
Step-by-step explanation:
So 32% is essentially 32/100 now we can divide that even more so now we have 16/50(we divided it in half) but we can divide that again, so now we have 8/25 :)
Sam listed the weighs of his friends. They were 98 , 95 , 64 and 93 pounds. Sam said there were no outliers. Do you agree? Explain ?
Answers
Answer:
No, 64 doesn't fit
Step-by-step explanation:
64 is an outlier
since it lies too far from the other numbers
