Answers
====================================================
Explanation:
a = 9 and b = 40 are the legs of the right triangle
c is the unknown hypotenuse
Use the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 40^2 = c^2
81 + 1600 = c^2
c^2 = 1681
c = sqrt(1681)
c = 41 meters is the length of the hypotenuse
Related Questions
The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.
Answers
Answer:
[tex]f = \frac{720}{11}[/tex]
Step-by-step explanation:
Given
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex] --- The variation
[tex]f = 60; T = 121; L = 12[/tex]
Required
Find f, when T =81; L = 9
We have:
[tex]f\ \alpha\ \frac{\sqrt T}{L}[/tex]
Express as equation
[tex]f = k\frac{\sqrt T}{L}[/tex]
Make k the subject
[tex]k = \frac{fL}{\sqrt T}[/tex]
When [tex]f = 60; T = 121; L = 12[/tex]
[tex]k = \frac{60 * 12}{\sqrt {121}}[/tex]
[tex]k = \frac{60 * 12}{11}[/tex]
[tex]k = \frac{720}{11}[/tex]
To solve for f, when T =81; L = 9
We have:
[tex]f = k\frac{\sqrt T}{L}[/tex]
[tex]f = \frac{720}{11} * \frac{\sqrt{81}}{9}[/tex]
[tex]f = \frac{720}{11} * \frac{9}{9}[/tex]
[tex]f = \frac{720}{11} * 1[/tex]
[tex]f = \frac{720}{11}[/tex]
For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth
Answers
Answer:
5.8
Step-by-step explanation:
Ace pool company sells portable spas as shown. The inside diameter of the spa is 2.5 m and the depth is 1.5 m. The sides and the bottom are each 10 cm thick.
a) Calculate the total amount of vinyl required for the spa (on both the interior and exterior)"
Answers
Step-by-step explanation:
the area of :
1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)
= 4.90625 + 11.775 = 16.68125 m²
2) upper side surface= (3.14 × (1.35²-1.25²))
= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²
3) lateral surface= 3.14×2.7×1.6=13.5648m²
the total amount of vinyl required for the spa =
16.68125+0.8164+13.5648 = 31.06245 m²
I need help asap plz.
Answers
Select all of the expressions that are equivalent to 3(4x + 5y).
Answers
Answer:
3*4x+3*5y
12x+15y
2*3x*2+2*7.5y
Explaining
Kaitlyn loves to roller skate. Since she skates so much, she decided to buy her own
skates. She looked at several stores and found a pair she liked for $74.79. She has
$193.42 in her savings account. If she takes out the money to buy the skates, how much
money will be left in her savings account?
$268.21
$124.65
$118.63
$256.86
Answers
Answer:
118.63
Step-by-step explanation:
The scatterplot below shows the relationship between the height, in inches, and the shoe size of each of 10 students in a class. Students' Heights and Shoe Sizes 69 Height Based on the scatterplot, what ordered pair represents the outlier in the data? O (67, 7) O (8.5, 65) O (7.67) O (65,8.5)
Answers
The dog-to-cat ratio at the adoption center is 7:3 The total number of dogs and cats is 110. How many dogs are at the adoption center? How many cats?
Answers
Answer:
77 dogs
33 cats
Step-by-step explanation:
7+3 = 10
110 ÷ 10 = 11
11 x 7 = 77
11 x 3 = 33
Complete the equation of this circle:
А
(x - [ ? ])2+(y - [ ])2= [ ]
Answers
equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,
so in first box - h
in second box - k
after equal to box = r²
Answer:
The answers that would be put into the question box's are: 3, 2, and 16:
(x - 3)^2 + (y - 2)^2 = 16 :)
Hope this helps
Solve for x. Choose the best answer.
Answers
Answer:
x = 15
Step-by-step explanation:
cross multiply -->
8x = 120 *divide by 8 on both sides*
x = 15
CHECK:
5/8 + 15/24
multiply by 3 to get the second fraction
Answer:
x=15
Step-by-step explanation:
please help!!! due soon :)))) (look at my other questions too)
Answers
23 more than jenny’s score is 52 use the variable j to represent her score
Answers
finish the question
Step-by-step explanation:
Answer:
j+23=52
Step-by-step explanation:
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
Answers
what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x
Answers
Answer:
Step-by-step explanation:
according to the question equation is
5x+8+3x=26+6x
8x+8=26+6x
8x-6x=26-8
2x=18
x=18/2
x=9
Answer:
x=9
Step-by-step explanation:
Statiscal or non statistical????
I will mark brainlest
I will report who ever sends me a link
Please only accurate answers
Answers
Answer:
Statiscal
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. and this question can have more then one varitve of answers
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answers
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
i give u brainliest if u answer
Answers
Answer: B & D
Step-by-step explanation:
Annora bought a box of cookies that matches the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number, round to the nearest tenth. Help pls
Answers
Calculate the pressure acted on an area of 30 square meter by a force of 15N
Answers
Answer:
pressure is force/area
Step-by-step explanation:
answer is 15/30. here's the equation. P=F/A
Answer:
0.2N/m^2
Step-by-step explanation:
P = Force / Area
P = 15N / 30m^2
P = 0.2 N/m^2
1- If Antonio did ten laps in the pool , how many minutes will it take him?
2-Antonia and Maria each swam laps in a pool. Who has the best time per lap.
Answers
2- Maria 1 lap take 2 min
Maria has the best time per lap
Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1
Answers
Answer:
y = -13x - 1
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables
Slope m = -13
y-intercept b = -1
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = -13x + -1Simplify: y = -13x - 1Please someone help me ?!?!?
Answers
Answer:
I believe it would be B. SAS
Step-by-step explanation:
You have two sides and one angle that are congruent in both
plzzzzzzzzzzzzz helpppppppppppppp
Answers
Answer:
Question 25:[tex]6[/tex]
Question 19:[tex]16[/tex]
Step-by-step explanation:
Question 25:[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]
[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]
[tex]y = 3( 2 - \frac{x}{12} )[/tex]
[tex]y = 6 - \frac{x}{4} [/tex]
[tex]y = - \frac{x}{4} + 6[/tex]
Question 19:[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 18[/tex]
To find the c value ,
[tex]c = ( \frac{b}{2} {)}^{2} [/tex]
divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....Rachel has 90p. Simon has £2.
Write the ratio of the amounts of money Rachel and Simon have. Give your answer in its simplest form.
PLEASE HELP GUYS
Answers
11. Find the H.C.F of 96 and 120.
Answers
Answer:
24.
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Then the greatest common factor is 24.
Which of the following is a rational number
Answers
bc it becomes 6
answer:
a. √36
step-by-step explanation:
a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions√36 = rational — the answer to this is 6 and it is a whole number
-√12 = -3.46410161514... — it is repeating without an order so irrational
5/0 = irrational — the denominator cannot be a 0
π = irrational — pi is always irrational
Which set shows a subset of the set of natural numbers?
A
B.
C.
{19, 22, 34, 56 )
{16.9, 34.5, 67.2, 78.3}
{0, 22, 43, 78)
22.
-1
100)
7
D.
Answers
GEOMETRY HELP ASAP !!!!
Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy the above onto your computer for future reference
sin(g) = 420/427
tan(z) = 77/420
cos(z) = 420/427
sin(m) = 427/427
part (E) the sin of any right angle will be 1 :)
Answer:
Solution given:
Sin G=opposite/hypotenuse=420/427
TanZ=Opposite/adjacent=77/420
CosZ=adjacent/hypotenuse=420/427
Sin M=opposite/hypotenuse=427/427=1
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answers
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.
Answers
Answer:
11/15
Step-by-step explanation:
P('Y' or 'R') = 5/15 + 6/15 which is 11/15