Answer:
It is the first one
Step-by-step explanation:
Homework: 4.2 Apply Pythagorean Theorem
Date
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Need help with this math please
The length of the side using the Pythagoras theorem is 4 mi
What is Pythagoras theorem?
Pythagoras theorem says sum of squares of side is equal to the square of the hypotenuse.
We are given one side of the triangle is 3 mi
And hypotenuse of the triangle is 5 mi
Let the another side of the triangle is x mi
By Pythagoras theorem,
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 16
x =4 mi
Using Pythagoras theorem the length of side of another side is 4cm
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How's the economy? A pollster wants to construct a confidence interval for the proportion of adults who believe that economic conditions are getting better. Part: 0 / 20 of 2 Parts Complete Part 1 of 2 (a) A poll taken in July estimates this proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of ? A sample of adults is needed to obtain a confidence interval with a margin of error of .
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The sample size is \(n =944\)
b
The sample size is \(n_b = 1068\)
Step-by-step explanation:
From the question we are told that
The proportion is mathematically represented as \(\r p = 0.33\)
The marginal error is \(e = 0.03\)
The confidence level is 95 % = 0.95
The z-value of the confidence level is
\(z_c = 1.96\)
This value is obtained from the z table
The sample size is mathematically evaluated as
\(n = [\frac{z_c}{e} ]^2 * \r p(1- \r p)\)
substituting values
\(n = [\frac{1.96}{0.03} ]^2 * 0.33 (1- 0.33)\)
\(n =944\)
If no estimate is available the let assume \(\r p = 0.50\)
So
\(n_b = [\frac{z_c}{e} ]^2 * \r p(1- \r p)\)
substituting values
\(n_b = [\frac{1.96}{0.03} ]^2 * 0.50 (1- 0.50)\)
\(n_b = 1068\)
what is π x 5
please tell me the answer as quick
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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The Unit Circle
In a unit circle, the sine of the angle is represented by the vertical leg of the triangle. What is represented by the horizontal leg of the triangle?
a. cosecant of the angle
b. tangent of the angle
c. cosine of the angle
d. cotangent of the angle
Please select the best answer from the choices provided
Answer:
c. cosine of the angle
Step-by-step explanation:
Cos = adj/hyp
in unit circle
cos = x/1
cos = x
x is the horizontal leg
Answer:
C. Cosine of the angle
Step-by-step explanation:
I calculated it logically
The equation y= mx + bis the slope-intercept form of a linear equation. Solve y= mx + b for m. O A. m = OB. V-6 O c. m-y-6- * D. m. SUBMIT
Given the slope intercept form of a linear equation:
y = mx + b
To solve the equation for m, take the following steps.
Step 1:
Subtract b from both sides
\(\begin{gathered} y-b=mx+b-b \\ \\ y-b=mx \end{gathered}\)Step 2:
Divide through by x
\(\begin{gathered} \frac{y-b}{x}=\frac{mx}{x} \\ \\ \frac{y-b}{x}=m \\ \\ m=\frac{y-b}{x} \end{gathered}\)ANSWER:
\(m=\frac{y-b}{x}\)Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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Find the length of the third side. If necessary, round to the nearest tenth.
Answer: 14.4
Step-by-step explanation:
Dominic took a 20-question online quiz. He received 5 points for every correct answer. For every question he answered
incorrectly, he lost 2 points. The quiz also had a 20-point bonus for finishing in one hour or less. Since Dominic finished
the quiz in less than one hour, his score S is determined by x, the number of questions answered correctly.
Drag and drop expressions into the function to correctly define S(a).
The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20
How to determine the function that correctly defines S(x)We have the following definitions in the question
Correct answers = xTotal questions = 20Points for correct answers = 5Points for incorrect answers = -2Bonus for finishing in one hour or less = 20If the total questions is 20, then
Incorrect answers = 20 - x
So, the points gained/lost are
Gained = 5 * x = 5x
Lost = -2 * (20 - x) = -2(20 - x)
Bonus = 20
Add the above points to get the function S(x)
S(x) = 5x - 2(20 - x) + 20
Hence, the definition is S(x) = 5x - 2(20 - x) + 20
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HELP PLS I GIVE BRAINLIST HAALP
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLS HAAAAAAAAAAAALP
Answer:
second one
Step-by-step explanation:
Answer:
It is the first one
Step-by-step explanation:
1+1=2 2+1=3 4+3=7 so it would be the top one 2 the number on the side is 3 and the bottom is 7
On Sunday, a local hamburger shop sold a combined of 572 hamburger and cheeseburger. The number of cheeseburgers sold was three times the number of hamburger sold. How many hamburger were sold on Sunday
Can someone please walk me through this?
3x-1=4x+8-x
3x-1=4x+8-x
3x -4x +x = 8+1
4x -4x = 9
0x =9
x= 9/0 which is undefined .
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
HELP ASAP AND I KNOW ITS B OR C BUT I DUNNO WHAT ONE
What is the vertical distance between (7, –22) to (7, 12)?
–34 units
–10 units
10 units
34 units
Answer:
D
Step-by-step explanation:
since the x- coordinates of both points are 7 then the points lie on a vertical line.
the distance is then the absolute value of the difference of the y- coordinates, that is
distance = | - 22 - 12 | = | - 34 | = | 34 | = 34 units
or
distance = | 12 - (- 22) | = | 12 + 22 | = | 34 | = 34 units
Answer:
the vertical distance between (7, –22) to (7, 12) is 10 units
Zeke cooked 1/3 of a bag of rice for a meal.He will served 3 people and there was no rice left over. What fraction of the bag of rice did each person eat?
Answer:
1/9
Step-by-step explanation:
well since he only cooked 1/3 of the rice, and there were 3 people who ate it, we will divide 1/3 by 3, since technically 3 people ate 1/3 of whole rice bag :)
Equation: 1/3 divided by 3
Solve:
We will first change the whole number 3 to a fraction by adding 1 as its denominator:
3/1
now instead of dividing, I wil multiply, flipping the 3/1 = 1/3
and we get: 1/3 × 1/3 = 1/9,
hence, everyone ate 1/9 of the bag of rice.
Use the following function to complete this question:
f(x)=(x-1)^3+5
Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below
The following is deduced from the equation f(x)=(x - 1)^3 + 5
Horizontal shift: 1 left
Vertical shift: 5 down
Vertical stretch factor: 1
Vertical compression factor: 1
Axis of reflection: -x + 6
Domain: all real numbers
Range: all real numbers
Inflection Point: (1, 5)
What is vertical stretch factor?The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.
The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.
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5. A map is drawn to a scale of 1: 20 000. (a) The perimeter of a lake is 2.5 km. Find, in cm, the perimeter of the lake on the map. (b) The area of the lake on the map is 12.5 cm². Find, in km², the actual area of the lake.
Step-by-step explanation:
2.5 km = 250000 cm
250000 cm /20000 = 12.5 cm on the map
12.5 cm ^2 x 20 0000 x 20 000 = 5 000 000 000 cm^2 = 500 000 m^2
Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment
Help plz
Answer:
Approximately 14-15
Step-by-step explanation:
This is because 60 percent are not playing games, meaning they haven’t completed their assignment. You then just find 60 percent of 24(the total). That is 14.4 so you round it because you can’t have half of a person, it needs to be a whole number.
(02.02 MC)
If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?
Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.
(1, −1)
(−4, 1)
(1, 1)
(−4, −1)
The location of point A''' after the three transformations would be (-4, 1).
To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.
When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.
So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).
When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).
When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).
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a contractor hired 150 men to pave a road in 30 days how many men would he hire to do the same work in 10 days
Answer:
750 men
Step-by-step explanation:
150 divided by 3 equals 5
5 times 150 equals 750
so it will take 70 men in 10 days
what is the density of a cube if the mass is 24g
W=2cm
H=2cm
L=2cm
Solve by factoring
Y^2+5y+6=0
•-3
•4,8
•2,3
•-4,3
Step-by-step explanation:
y²+5y+6=0
y²+2y+3y+6=0
y(y+2)+3(y+2)=0
(y+2)(y+3)=0
:. y=2,3
option C.
hope this helps you.
Answer:
Step-by-step explanation:
Y^2+5y+6=0
5^2 - 4*2*6
25-48
23 i
-5 +4.79i => -0.21 => 0.5i
2*2 4
-5 +4.79i => -9.79 => 2.44i
2*2 4
7. Find the perimeter of a regular
pentagon with a side measure of
57 centimeters.
A: 228 cm
O B: 342 cm
O C: 649 cm
OD: 285 cm
Answer:
D. 285 cm
Step-by-step explanation:
Answer: D: 285 CM
Step-by-step explanation:
To find the perimeter you need to multiply its sides by its measure. It gives you in this case 57x5: 285
I need answers am really bad at math
Answer:
Where is the question
Need help please!!!!!!!
Answer:
yes ASA
Step-by-step explanation:
There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the be
for the number of boys in the class?
А 20
B 30
C 40
D 50
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
40%=18 girls which leaves 60% boys, 18/40%=18(5/2)=90/2=45. So there are 45 kids in the class. subtract the 18 girls and you get 27 boys so thirty is closest.
Which expression is equivalent to 5^-2 x 5^5?
A. 25^-10
B. 5^-10
C. 5^3
D.25^3
(Look at the picture)
Answer:
C
Step-by-step explanation:
Help please
Use the following figure to find the answer
Ava plays on the softball team at her school. The team won 8 of its first 12 games. At that rate, how many games will Ava's team win if it plays 60 games in all?
Answer:
She wins 40 games
Step-by-step explanation:
I'm not the best at explaining but 5x12=60 so then we multiply 8 by 5 aswell and bam we have 40.