Answer:
He should measure the length of the bowling alley using meters
Step-by-step explanation:
The score does Tyrone need in the fifth game so that his mean score is 125 is 168.
What is an arithmetic mean?
It is defined as the sum of all observations divided by the number of observations.
Given
Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{4+1} =125[/tex]
⇒ [tex]\frac{457+x}{5} =125[/tex]
⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]
⇒ [tex]{457+x} =625[/tex]
⇒ [tex]x =625-457[/tex]
⇒ [tex]x =168[/tex]
Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.
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Dois triângulos semelhantes possuem razão entre suas áreas igual a 9. Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Answer:
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
Step-by-step explanation:
Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.
O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.
Se o perímetro de um deles é 10, o perímetro do outro deve ser:
Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]
O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.
PLZ HELP ITS URGENT
it is blurry so take it again
Find the missing side
Answer:
12.94811641 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 44 = x /18
18 cos 44 =x
12.94811641 =x
Answer:
12.9
Step-by-step explanation:
cos(44) = x/18
x = cos(44) * 18
x = 12.9
PLEASE HELP! NO SPAMMING! SHOW WORK!
The ratio of the dimensions of the model to the dimensions of the Great Pyramid is about 1 to 38. The surface area of the real pyramid is about how many times the surface area of the model.
Dimensions: a pyramid with a square base.
base sides: 6m
height: 4m
========================================================
Explanation:
Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.
The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.
The area of the second larger square is 114*114 = 12,996 square inches.
Now divide the two areas: (12,996)/(9) = 1444
It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.
In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.
Or put another way:
large area = 1444*(small area)
------------------
Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.
PLEASE HELP ME WITH THIS
Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!
Answer:
x+5y >5 => red
y< 2x+4 => blue
Step-by-step explanation:
you can substitute x and y in each inequality to determine
The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?
Answer:
+9
Step-by-step explanation:
+9-9=0
please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?
Answer:
x² - 9x + 20
You are correct.
None of the listed choices are correct.
-----------------------------
I think the question originally had 5 and -4 as the solutions
https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf
x = {-4, 5}
(x + 4)(x - 5) = 0
x² - 5x + 4x - 20 = 0
x² - x - 20 = 0 Answer E
Step-by-step explanation:
x = {4, 5}
y = (x - 4)(x - 5)
y = x² - 5x - 4x + 20
y = x² - 9x + 20
I need help with this question
Answer:
$18.63
Step-by-step explanation:
15% of 45 is equal to 45 times .15, which is equal to 6.75.
45+6.75 = 51.75
Ben resold the guitar for $51.75
36% of 51.75 is equal to 51.75*.36 or 18.63
Ben spent $18.63 on books
for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?
Answer:
hsshshshwwbwbbs29oooo
Please help. Thank you. (30 points included) (Shown work)
Answer:
True
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.
What is the measure of ZWX?
Step-by-step explanation:
180°+63°
=243°
holp it help
In the system of equations , x represents .... ( please answer 12a and 12b )
Answer:
x = cost of each t-shirt
y = cost of each sweatshirt
Step-by-step explanation:
Given equation:
2x + 2y = 26 (1)
x + 3y = 33 (2)
From (2)
x = 33 - 3y
Substitute x = 33 - 3y into (1)
2x + 2y = 26 (1)
2(33 - 3y) + 2y = 26
66 - 6y + 2y = 26
- 6y + 2y = 26 - 66
-4y = -40
y = -40/-4
y = 10
Substitute y = 10 into (2)
x + 3y = 33 (2)
x + 3(10) = 33
x + 30 = 33
x = 33 - 30
x = 3
Where,
x = cost of each t-shirt = $3
y = cost of each sweatshirt = $10
Translate the sentence into an equation. Twice the difference of a number and 6 is 2.
Answer:
let the number be x.
2(x-6)=2hope it helps
stay safe healthy and happy....PLEASE HELP ME!!! THANK YOU i really need it
The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?
give exact answer in simplest form
explaining your answer = brainliest/ five stars
Answer:
10 1/5 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2 = pi *6^2 = 36 pi
Then find the fraction of the circle that is shaded
A circle is 360 degrees
102/360 =17/60
Multiply the fraction by the area
17/60 * 36 pi
51/5 pi
10 1/5 pi
Answer:
32.04
Step-by-step explanation:
firstly area of a sector is angle/360 multiplied by pi *r squared
so in this case it is going to be 102/360 *pi *6^2
6 squared is 36 all multiplied by pi and 106/360
it is advisable that you enter them all at once in your calculator
the final answer will be32.0444507
which is rounded to 32.04
Un deposito de agua tiene forma de un cubo de 10 metros de arista ¿cual es la capacidad del deposito?
Respuesta:
1000m³
Explicación paso a paso:
La capacidad del tanque viene dada por el volumen del cubo;
El volumen, V del cubo se da como: a³
V = a³
El borde del cubo mide 10 metros.
Por eso,
Volumen = 10³
Volumen = 10 * 10 * 10
Volumen = 1000 m³
Por lo tanto, la capacidad del tanque de agua es de 1000 m³.
Find the equation of the line parallel to y = 2/3x-7
passing through A(6,-1).
Answer:
y = 2/3x - 5
Step-by-step explanation:
If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:
y + 1 = 2/3 (x - 6)
y + 1 = 2/3x - 4
y = 2/3x - 5
I. NEED. HELP! PLEASE!
Answer:
x = 2.5
Step-by-step explanation:
We know the adjacent and the opposite sides to the angle in a right triangle
tan theta = opp / adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2 / tan 26
x =2.46036461
Rounding to the nearest tenth
x = 2.5
tan tita = opp/adj
tan 26°=1.2/x
x=1.2/tan 26
x=2.46
x=2.5
Helpppp does anyone know
======================================================
Explanation:
We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.
According to that theorem, the interior angles x and 53 add up to the exterior angle 158
x+53 = 158
x = 158-53
x = 105
This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.
----------
If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.
We can find y by noting how 158 and y are supplementary
158+y = 180
y = 180-158
y = 22
Then we use the fact that adding three angles of any triangle always gets us 180 degrees
x+y+53 = 180
x+22+53 = 180
x+75 = 180
x = 180-75
x = 105
Effectively, this example helps reinforce why the remote interior angle theorem is true.
Figure VWYX is a kite.
3
(18x-2)
V
Y
(12x+2)
х
Answer:
18X-2+12X+2=360-180
30X=180
X=6
The value of the variable x is 6, in the given rhombus.
What are the properties of the rhombus?A quadrilateral having the following characteristics is called a rhombus:
The lengths of the four sides are equal.Parallel sides are situated next to one another.Angles that are opposite each other are equal (i.e., they have the same measure).The diagonals form a right angle split across one another.Each diagonal is the same length.From the properties of a rhombus,
The sum of all angles is 360°.
Thus, in the given case,
18x-2+12x+2+ 90° +90° = 360°
18x- 2 + 12x +2 = 180°
30x = 180
x = 6
Therefore, the value of the x is 6.
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Why was Elmo's Report Card All Wet?
Answer:
why was it ♂️
All of his grades were down below c level
hehe
=)
Please help
Honestly cant understand
need help with thisss
9514 1404 393
Answer:
cos(x) = 0.6
Step-by-step explanation:
First, we need to find UQ.
UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)
UQ = 24 cm
Then TQ is ...
TQ = 1/3UQ = 1/3(24 cm) = 8 cm
And cos(x°) is ...
cos(x°) = √(1 -sin²(x)) = √(1 -64/100)
cos(x°) = 6/10 = 3/5
cos(x°) = 3/5 = 0.6
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
5.
Which of the quadratic functions has the narrowest graph?
A. [tex]y=-2x^2[/tex]
B. [tex]y=\frac{1}{2} x^2[/tex]
C. [tex]y=\frac{1}{7} x^2[/tex]
D. [tex]y=-4x^2[/tex]
Answer:
C. y= 1/7x2
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?
Answer:
she would be able to buy 40 lunches
Step-by-step explanation:
Subtract 100 from both sides of the inequality
Divide each term by −2 and simplify.
The solution to the inequality 100 – 2x < 20 is x > 40
How to find solution to an inequality?
She set aside $100 to buy school lunches for the year. Each school lunch cost $2.
Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.
100 – 2x < 20
The solution of the inequality is as follows;
100 – 2x < 20
subtract 100 from both sides
100 - 100 - 2x < 20 - 100
-2x < - 80
divide both sides by -2
x > 40
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Simplify using the distributive property: 5(2x + 7). Show all of your work.
Answer:
10x + 35
Step-by-step explanation:
Given
5(2x + 7) ← multiply each term in the parenthesis by 5
= 5(2x) + 5(7)
= 10x + 35
Answer:
10x+35
Step-by-step explanation:
5×2x=10x
5×7=35
=10x+35
please help find x!! asap
Answer:
x = 60
Step-by-step explanation:
The angle 30 is on the same vertical line as the angle that is adjacent to the missing angle x. they form 90 degrees.
Type the correct answer in the box. Use numerals instead of words. What value of x satisfies this equation? log2 (6x – 8) – log2 8 = 1 The value of x is
Answer:
Espero te sirva
Step-by-step explanation:
Suerte ******'**
You can use two important properties of log to find out the solution of the given equation.
The value of x that satisfies the given equation is 4
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b= log_a(c)[/tex] , here 'a' is called base of logarithm.
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(a) = 1[/tex]
(take special attention over that base "a" in all of the above property as you might mix them with other base logarithms which is not allowed)
How to find the solution to the given equation?We can use the fourth, property and then can use third and first property as follows:
[tex]log_2(6x-8) - log_2(8) = 1\\\\log_2(\frac{6x-8}{8}) = log_2(2)\\\\\dfrac{6x-8}{8} = 2\\\\6x-8 = 2 \times 8\\6x-8 = 16\\6x = 16 + 8\\6x = 24\\\\x = \dfrac{24}{6} = 4\\\\x= 4[/tex]
Thus, the value of x for the given condition is obtained as 4.
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