Answers
Final Answer: 82.2
formula used: a² + b² = c²
a = 66
b = 49
c = x
Solution:
66² + 49² = x² (note: 66² = 66 × 66 = 4,356 and 49² = 49 × 49 = 2,401)
4,356 + 2,401 = x²
[tex]\sqrt{6,757}[/tex] = [tex]\sqrt{x^2}[/tex]
82.201 = x
rounded to the nearest tenth: 82.2
hope this helps, let me know if its incorrect or not
have a great day ;)
Related Questions
What is the missing constant term in the perfect square that starts with x2 – 12x ?
Answers
Answer:
x^2 -12x+36
Step-by-step explanation:
x^2 – 12x
Take the coefficient of x
-12
Divide by 2
-12/2 = 6
Square it
6^2 = 36
We need to add 36 to make x^2 -12x a perfect square trinomial
x^2 -12x+36
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals. If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
Answers
Answer:
5x less than 300 - 165
Step-by-step explanation:
It will take 27 days to take in animals without exceeding its occupy limit.
What is algebraic expression ?An expression which is made up of variables and constants , along with algebraic operation (addition , subtraction etc ) is called Algebraic expression.
According to the question :
165 + (x) 5 = 300
5x = 135
x = 27
Hence , it will take 27 days to occupy the limit
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Which situation does the graph illustrate?
Answers
Answer:
eju 48, 23w6yuw43wdgn
Step-by-step explanation:
As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A
Answers
Answer:
a. Produce more, as long as the resources are also available
Step-by-step explanation:
from brainly itself
scouteo
Ace
The correct answer is A) produce more, as long as the resources are also available.
As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.
A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.
i know it’s kinda all hard to see. i have many more questions like this and i can’t do graphs to save my life.. pls help !!
Answers
Answer: D
Step-by-step explanation:
Anyone good at Ks3 maths
Answers
Answer:
[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 56 \times 3 \frac{1}{2} }} \\ = { \tt{196 \: miles}}[/tex]
SOMEONE PLEASE HELP!
Answers
Answer:
[tex]XY=16.2[/tex]
Step-by-step explanation:
It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.
[tex]\frac{WX}{ST}=\frac{XY}{TU}[/tex]
Substitute,
[tex]\frac{18}{3}=\frac{XY}{2.7}[/tex]
Simplify,
[tex]6=\frac{XY}{2.7}[/tex]
Inverse operations,
[tex]6=\frac{XY}{2.7}[/tex]
[tex]6(2.7)=XY\\\\16.2=XY[/tex]
Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3
Answers
Answer:
[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]
Step-by-step explanation:
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
centro: (0,0)
focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]
eje conjugado = [tex]2\sqrt{3}[/tex]
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]
de los focos podemos obtener que:
[tex]c=\sqrt{28}[/tex]
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
[tex]b=\sqrt{3}[/tex]
podemos utilizar la siguiente fórmula para obtener a:
[tex]c^{2}-a^{2}=b^{2}[/tex]
si despejamos a en la ecuación obtenemos lo siguiente:
[tex]a=\sqrt{c^{2}-b^{2}}[/tex]
ahora podemos sustituir los valores:
[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]
[tex]a=\sqrt{28-3}[/tex]
[tex]a=\sqrt{25}[/tex]
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]
[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]
[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]
si graficamos la hipérbola, queda como en el documento adjunto.
In trapezoid WXYZ, m∠ZYX=107°. Identify m∠ZWX.
Answers
Answer:
73 degrees.
Step-by-step explanation:
the inward angle at W is the outward angle at Y and therefore the complement of 107 degrees to 180.
180 - 107 = 73 degrees.
The measure of angle ZWX is 73 degrees.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
We are given that the trapezoid WXYZ, m∠ZYX=107°.
We have been given an image of a trapezoid and we are asked to find the measure of angle ZWX .
We can see from our trapezoid that angle XYZ and angle WZY measures 90 degrees.
Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals
m∠ZYX + m∠ZWX = 180
m∠ZWX = 180 - 107
m∠ZWX = 73 degrees.
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One of the legs of a right triangle measures 9 cm and its hypotenuse measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
13.2 cm
Step-by-step explanation:
using the Pythagorean theorem, we can find the length of the other leg, since this is a right triangle. The equation is a^2 + b^2 = c^2, A and B being the legs and C being the hypotenuse. Since we are finding the other leg, we can switch the equation around to find A/B instead. (A/B being the legs). so we get: B^2 = C^2 - A^2 ; then we simplify [tex]b=\sqrt{c^2-a^2}[/tex]
We plug in the numbers given:
[tex]b = \sqrt{16^2-9^2}\\b=\sqrt{256-81}\\b=\sqrt{175} \\b= 13.229[/tex]
rounded to nearest tenth: 13.2
The measure of the other leg in the right triangle is 13.22 cm.
What is a right triangle?A triangle with one angle measuring 90° is called a right triangle.
Given that, a right triangle has a leg measuring 9 cm and its hypotenuse is 16 cm longs, we need to find the other side,
So, using the Pythagoras theorem,
16² = 9² + x²
x = √256-81
x = √175
x = 13.22
Hence, the measure of the other leg in the right triangle is 13.22 cm.
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The initial population of a town is 4200, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Answers
Answer:
The population in 8 years will be of 7313.
Step-by-step explanation:
Population of a town:
The population of a town, after t years, with a doubling time of n years, is given by:
[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]
The initial population of a town is 4200, and it grows with a doubling time of 10 years.
This means that [tex]P(0) = 4200, n = 10[/tex]
So
[tex]P(t) = 4200(2)^{\frac{t}{10}}[/tex]
What will the population be in 8 years?
This is P(8). So
[tex]P(8) = 4200(2)^{\frac{8}{10}} = 4200(2)^{0.8} = 7313[/tex]
The population in 8 years will be of 7313.
Please help right now (30 points if you’re interested) The table shows the ratio between the number of books ordered and their cost. 7,14 8,16 9,18. Find equivalent ratios when the number of books ordered is 1,2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin explain how to plot three equivalent ratios on a coordinate grid.
Answers
The equivalent ratios are: (1, 2), (2, 4), and (3, 6)
The graph can be plotted on a coordinate grid as shown in the diagram attached below.
Recall:
Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.k = y/xLet x = number of books
y = cost (dollars)
Using any of the ordered pairs from the table, say, (7, 14), find k:
k = y/x = 14/7 = 2
Write the equation by plugging in the value of k into y = kx
y = 2x
Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:
When x = 1:
y = 2(1) = 2 --> (1, 2)
When x = 2:
y = 2(2) = 4 ---> (2, 4)
When x = 3:
y = 2(3) = 6 ---> (3, 6)
The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.
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In a city of 26,000 population 5000 read English news paper, 12000 read Nepali La News paper and 1000 read both of these. What percent read neither English nor Ne newspaper.
Answers
Answer:
38.46%
Step-by-step explanation:
We are given;
Total population; n(S) = 26000
Number that read English news paper; n(E) = 5000
Number of people that read nepali; n(N) = 12000
Number that read both English and nepali; n(E n N) = 1000
Thus from probability laws, number that read either English or nepali is;
n(E u N) = n(N) + n(E) - n(N n E)
n(E u N) = 12000 + 5000 - 1000 = 16000
Thus;
number that read neither English nor nepali is;
n(E' u N') = n(S) - n(E u N)
n(E' u N') = 26000 - 16000 = 10000
Thus, the percentage is;
10000/26000 × 100% = 38.46%
pls help me w this question!!
Answers
Answer:
v = sqrt(473)
Step-by-step explanation:
v^2 = u^2 +2as
Let u = 9 a = 7 and s = 28
v^2 = 9^2 +2(7)(28)
v^2 = 81 + 392
v^2 = 473
Take the square root of each side
sqrt(v^2) = sqrt(473)
v = sqrt(473)
Researchers want to see if playing with a specific toy increases the verbal abilities of young children. One group of children plays with the new toy for 4 hours a week for 4 weeks and is given a vocabulary test at the end of the experiment. The other group of matched pairs follows the same schedule, but these children play outside instead of with the toy. The children who play outside are the _____ group.
Answers
Answer:
Hence the children who play outside are the Control group.
Step-by-step explanation:
Researchers want to ascertain if twiddling with a selected toy increases the verbal abilities of young children. One group of youngsters plays with the new toy for 4 hours every week for 4 weeks and is given a vocabulary test at the top of the experiment. the opposite group of matched pairs follows an equivalent schedule, but these children play outside rather than with the toy. the children who play outside are the Control group.
Here the One group of children who plays with the toy is considered an experimental group.
please help me out (geometry)
Answers
Answer:
x = 15
Step-by-step explanation:
2x+10+4x+80=180
or, 2x+4x=180-80-10
or, 6x=90
or, x=15
Answered by GAUTHMATH
| How many different arrangements of the word
PARRAMATTA are possible?
Answers
Answer:
10
Step-by-step explanation:
Help me please for this question im heavily confused.
Answers
Answer:
a)
Let x = number of candy bars sold
Let y = amount of money earned
b)
y = 0.75x
c)
He should work at the car wash.
Step-by-step explanation:
a)
Let x = number of candy bars sold
Let y = amount of money earned
b)
$42.75/57 = $0.75
Each candy bar costs $0.75
We can confirm that by dividing $38.25/51 = $0.75
1 candy bar sells for $0.75
2 candy bars sell for $0.75 * 2
x candy bars sell for 0.75 * x, or simply 0.75x
The equation is y = 0.75x
c)
y = 0.75x
y = 0.75 * 36
y = 27
Larry raised $27 by selling candy bars last year. This year, he can earn more than that by working at the car wash.
He should work at the car wash.
Madam Chong's mass is 72 kg. After participating in a fitness programme, her mass decreases at a rate of 3 kg per month. Find the minimum number of months that Madam Chong has to participate in the programme so that her mass becomes less than 52 kg. (Give your answer to the nearest whole number.)
Answers
let x be the months that MC has to participate
72 - 3x < 52
-3x < -20
x > 20/3
about 7 months, i guess hth
Suppose the line y = 2.8333x - 22.4967 describes the relation between the club-head speed (in miles per hour), x and the distance a golf ball travels (in yards), y.
(a) Predict the distance a golf ball will travel if the club-head speed is 100 mph.
(b) Suppose the observed distance a golf ball traveled when the club-head speed was 100 mph was 265 yards. What is the residual?
(c) The golf ball will travel 260.8 yards. (Round to the nearest tenth as needed.)
(d) The residual is:_________ (Round to the nearest tenth as needed.)
Answers
Answer:
c) The golf ball will travel 260.8 yards.
d) Hence the residual is 4.2 yards.
Step-by-step explanation:
c) y' = 2.8333x - 22.4967
Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards
here y'= 260.8 yards.
d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.
Answer:
a) [tex]y=260.8333~yd[/tex]
b) [tex]\Delta d=4.1667~yd[/tex]
c) [tex]y=260~yd[/tex]
d) [tex]\Delta y'=0.8333~yd[/tex]
Step-by-step explanation:
Given:
equation of line, [tex]y=2.8333x-22.4967[/tex]
x = club-head speed (in miles per hour)
y = the distance a golf ball travels (in yards)
a)
x = 100 mph
Then the distance travelled by the ball:
(put the given value of x in the above eq.)
[tex]y=2.8333\times 100-22.4967[/tex]
[tex]y=260.8333~yd[/tex]
b)
If the observed distance in the above case comes out to be 265 yards then the residual value will be:
[tex]\Delta d=265-260.8333[/tex]
[tex]\Delta d=4.1667~yd[/tex]
c)
From the calculated value when rounding it to the nearest tenth:
[tex]y=260~yd[/tex]
d)
The residual on rounding the calculated value to the nearest tenth:
[tex]\Delta y'=260.8333-260[/tex]
[tex]\Delta y'=0.8333~yd[/tex]
Solve the equation 2sin x cos x = cos x, for 0° < x≤ 90°
Answers
Answer:
2sinx.Cosx=cosx
2sin90°.cos90°=cos90°
2×1.0=0
0=0
ASAP PLEASE HELPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEE
Answers
Answer:
-2/5 is the answer
I hope this will help you
Answer:
-2/5
Step-by-step explanation:
Just add the top numerator together -4 + 2 = -2
The range of cells in column D and rows 1 to 10 is represented as:
1:10 D1:D10 D:D
Answers
Answer:
how?
Step-by-step explanation:
I didnt get question
Find the value of x rounded to the nearest tenth.
Answers
Answer:
The answer to the equation is C
Which function is represented by the graph
Answers
Answer: A
Screenshot of calculator
A ladder that is 10 feet long leaning against a wall perpendicular to the ground. The point at which the ladder touches the walk is 8 feet above the ground. How far away is the base of the ladder from the bottom of the wall ?
Answers
Answer:
6 feet
Step-by-step explanation:
Gonna use the Pythagorean Theorem: a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
Subtract both sides by 64
a² + 64 = 100
-64 -64
a² = 36
Square root both sides
√a² = √36
a = 6 = length between bottom of the wall to the base of the ladder
Brooke and Lamont ran a half marathon Brooke finished in 1 hour 50 minutes Lamont finished in 100 minutes who had the faster time
Answers
Answer:
Brooke = 1 hr 50 min
Lamont = 100 min = 1 hr 40 min
Because 60 min = 1 hr
Lamont was faster
Hope this helped
It is a good idea to check your solutions when using the quadratic formula?
Answers
Answer: Since the square root of a negative number is not a real number, then a negative radical will result in no real solution.
Step-by-step explanation:
A number cube is rolled 14 times and the results are recorded in the table.
What, in simplest form, is the experimental probability that the number cube shows 4?
A. 0
B. 1/6
C. 2/7
D. 5/14
Answers
Answer:
b
Step-by-step explanation:
The experimental probability that the number cube shows 4 is 2/7.
What is an experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
Given that, a number cube is rolled 14 times, we need to determine the experimental probability that the number cube shows 4,
The formula to calculate the experimental probability is:
P(E) = Number of times an event occurs/Total number of times the experiment is conducted
P(E) = 4/14 = 2/7
Hence, the experimental probability that the number cube shows 4 is 2/7.
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I need help with this, I can’t figure out the answer…
