Answers
Answer:
x = 2√3 ≈ 3.464
Step-by-step explanation:
The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...
Tan = Opposite/Adjacent
Filling in values, we have ...
tan(30°) = x/6
Multiplying by 6 gives ...
x = 6tan(30°) = 6(√3/3)
x = 2√3 ≈ 3.464
Related Questions
Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:
Which statement best describes the relationship between the positions of the two midfield players? (1 point)
Group of answer choices
Q is P reflected across the x-axis; only the signs of the x-coordinates of P and Q are different.
Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.
Q is P reflected across the y-axis; only the signs of the x-coordinates of P and Q are different.
Q is P reflected across the y-axis; only the signs of the y-coordinates of P and Q are different.
Answers
Answer:
answer is c but i think it is to late
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
f(x) = –2x2 + 8x – 1.
Answers
Answer:
x=5/8
Step-by-step explanation:
0=2 times 2 + 8x - 1
hope this helps!
Answer:
Step-by-step explanation:
On a school field trip, the bus travels 12 miles in 15 minutes. Find the speed of the bus in miles per hour. Use the equation d=rt, where d is distance, r is rate, and t is time
Answers
Given Information:
Distance = d = 12 miles
Time = t = 15 minutes
Required Information:
Speed of the bus = r = ?
Answer:
Speed of the bus = r = 48 mph
Step-by-step explanation:
We are given that a bus has traveled a distance of 12 miles in a time period of 15 minutes.
We are required to find the rate or speed at which the bus is traveling.
The relation is given by
[tex]rate = \frac{distance}{time}\\\\r = \frac{d}{t}[/tex]
Where r is the rate or speed, d is the distance and t is the time.
First let us convert time from minutes to hours
as we know 1 hour has 60 minutes,
15/60 = 0.25 hour
Now we will get the speed of the bus in miles per hour
[tex]r = \frac{d}{t}\\\\r = \frac{12}{0.25}\\\\r = 48 \: mph[/tex]
Therefore, the speed of the bus is 48 miles per hour.
Which decimal is equivalent to 5/12 ? A. 0.416 B. 0.416 C. 0.416 D. 0.416
Answers
Answer:
b
Step-by-step explanation:
just did it on edge
A rectangular box has its length and width doubled and its height tripled. The volume of the new box will be
A. 12 times as large.
B. 7 times as large.
C. 6 times as large.
D. 5 times as large.
E. 4 times as large.
Answers
Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
service credit
d. marginal credit
C.
Please select the best ahswer from the choices provided
B
Answers
Answer:
Marginal Credit
Step-by-step explanation:
I actually have no clue.
What’s the answer to this
Answers
Divide the complex numbers
In ADEF, DE = 25 cm, EF = 17 cm, and DF -- 20 cm
Which angle in the triangle is the smallest?
Answers
Answer:
angle FBE
Step-by-step explanation:
By using the formula, the shortest angle is facing the shortest side
so the shortest angle is angle FBE
In triangle ADEF, angle E is the smallest angle.
Explanation:In triangle ADEF, we are given that DE = 25 cm, EF = 17 cm, and DF = 20 cm. To determine which angle is the smallest, we need to compare the lengths of the sides opposite each angle. The smallest angle will have the smallest side opposite it. Let's compare the lengths:
Side DE is opposite angle D.
Side EF is opposite angle E.
Side DF is opposite angle F.
Since side EF (length 17 cm) is the smallest, angle E is the smallest angle in triangle ADEF.
Learn more about triangles here:https://brainly.com/question/37610445
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Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.
Answers
Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]
150 = [tex]\frac{1}{3}[/tex] x 3.14 x 10 x 10 x h
150 x 3 = 314 x h
h = 450/314
h = 1.43 inches
The requried height of the cone with a volume of 150 in² is given as 1.43 in.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
here,
Volume of the cone = 1/3 πr²h
From the quesiton we have,
r = 20/2 = 10 in and volume = 150
150 = 1/3 × 3.14 × 10² × h
h = 1.433 in
Thus, the requried height of the cone with a volume of 150 in² is given as 1.43 in.
Learn more about Volume here:
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A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.
What ordered pair is closest to a local minimum of the function, f(x)?
(–1, –3)
(0, –2)
(1, 4)
(2, 1)
Answers
Answer:
d
Step-by-step explanation:
ddddddd
Answer:
d
Step-by-step explanation:
There is a 2/3 probability that yo will have homework in math class. What is the probability you will NOT have homework?
Answers
Answer:
1/3
Step-by-step explanation:
3/3 = one whole one
3/3 - 2/3 = 1/3
Answer:
1/3.
Step-by-step explanation:
You will either have homework or not . These are the only possibilities, so:
Probability of not having homework = 1 - 2/3 = 1/3.
What is x??? Help please
Answers
Step-by-step explanation:
180(Vertically opposite angle)
Step-by-step explanation:
As you can see in the diagram, all of the angles come together and form a circle. Circles have a sum of 360°. We can use this information to answer the problem.
[tex]360 - (35 + 180)[/tex]
[tex]360-215[/tex]
[tex]145[/tex]
So, the measurement of x is 145°
PLEASE HELP FIND THE VALUE OF X!!!I WILL MARK BRAINLIEST
Answers
Answer: x = ~6.928
Step-by-step explanation:
To find the value of X. we can use the sine of the angle:
sin (angle) = opposite / hypotenuse
sin (60) = opposite / 8
Solving for this, we get 6.928 for the opposite side.
Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance. What is the maximum number of copies Aiden can make? 60 83 166 250
Answers
Answer:
The correct answer is 166
Step-by-step explanation:
I just toke the test and got it right :)
The maximum number of copies Aiden can make is 166.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that, Aiden has $15.00 on his copy card.
Each time he uses the card to make a photocopy, $0.06 is deducted from his card.
Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished.
we need to find, the maximum number of copies Aiden can make,
The inequality below relates x, the number of copies he can make, with his copy card balance.
15 - 0.06x ≥ 5
15 - 5 ≥ 0.06x
10 ≥ 0.06x
x ≥ 10/0.06
166 ≥ x
Hence, the maximum number of copies Aiden can make is 166.
Learn more about inequality, click;
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Use the information in the diagram to answer the questions.
100 percent is the 30 dollars wholesale price, 30 percent is the markup, and the retail price is unknown.
The original cost is .
The percent of the markup is .
The markup amount is .
The new price is .
Answers
Answer:
the original cost is $30 , the percent of the markup is 30% , the markup amount is $9 , the new price is $39.
Step-by-step explanation:
Answer:
below
Step-by-step explanation:
The original cost is
✔ $30
.
The percent of the markup is
✔ 30%
.
The markup amount is
✔ $9
.
The new price is
✔ $39
.
Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric functions.
sin(theta)=
cos(theta)=
tan(theta)=
csc(theta)=
sec(theta)=
col(theta)=
What are the answers and how?
Answers
Answer:
[tex]\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}[/tex]
Step-by-step explanation:
Given: (8,-15) is on the terminal ray of angle
To find: All the trigonometric ratios
Solution:
Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.
If (x, y) lies on the terminal side of θ then [tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17[/tex] units
[tex]\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}[/tex]
-3B+5=13
How do I solve for B
Answers
Answer:
b = -2 2/3
Step-by-step explanation:
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 5 from both sides:
-3b + 5 (-5) = 13 (-5)
-3b = 13 - 5
-3b = 8
Next, divide -3 from both sides:
(-3b)/-3 = (8)/-3
b = -8/3
b = -2 2/3
~
The cable company takes an SRS (simple random sample) of 250 of the approximately 15,000 households who subscribe to them. They found that 75% of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 60% of their total subscribed households who watch those sports. Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month. What are the mean and standard deviation of the sampling distribution of p?
Answers
The mean of the sampling distribution of p is 0.70 and the standard deviation is 0.029 .
To find the mean and standard deviation of the sampling distribution of p , we can use the properties of sampling distributions.
Given:
Sample size, n = 250
Proportion of subscribed households who watch sports, p = 0.70 (from the population)
Sample proportion of households who watch sports, [tex]\( \hat{p} = 0.75 \)[/tex](from the sample)
The mean of the sampling distribution of p is equal to the population proportion, which is p = 0.70 .
The standard deviation of the sampling distribution of p can be calculated using the formula:
[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{p(1-p)}{n}} \][/tex]
Substituting the given values:
[tex]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70(1-0.70)}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.70 \times 0.30}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{\frac{0.21}{250}} \]\[ \sigma_{\hat{p}} = \sqrt{0.00084} \]\[ \sigma_{\hat{p}} = 0.029 \][/tex]
So, the mean of the sampling distribution of p is 0.70 and the standard deviation is 0.029 .
Question
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.
Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.
What are the mean and standard deviation of the sampling distribution of p?
Answer: This one on Khan Academy
Step-by-step explanation:
Medea found the missing measure using a proportion of the reduced trapezoid.
Analyze Medea’s work. In which step did Medea make an error?
In step 1, the corresponding parts are in different positions.
In step 2, the cross products should be multiplied instead of being equal.
In step 3, she should have added instead of multiplying to simplify.
In step 4, she needed to divide 2 to both sides to get x = 4.
Answers
Answer:
In step 1, the corresponding parts are in different positions.
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
Identify the a, b, and c from this equation. 2x^2−150=0
Answers
Answer:
a=2, b=0, c = -150
Step-by-step explanation:
The standard form of an equation is ax² + bx + c
In this case our equation is 2x² - 150
Here our a is 2, there is no b so b is 0, and c is -150
A length of tape is 135 centimetres long. It is cut into two pieces. The first piece is twice
as long as the second piece. How long is the shorter of the two pieces of tape?
Answers
Answer:
45
Step-by-step explanation:
let the longer tape be x
shorter tape be y
given
x+y=135⇒equation 1
also given
2y=x⇒equation 2
subtituting eq2 in eq1
2y+y=135
3y=135
y=135/3=45
hope this helps
Final answer:
The length of the shorter piece of tape is 45 centimetres after cutting a 135 centimetre tape into one piece that is twice as long as the other.
Explanation:
A length of tape is 135 centimetres long and it is cut into two pieces where the first piece is twice as long as the second piece. To solve this, let the length of the shorter piece be x centimetres. Therefore, the longer piece would be 2x centimetres long.
The total length of the tape is the sum of the lengths of both pieces, which gives us the equation:
x + 2x = 135
Combining like terms, we get:
3x = 135
Dividing both sides by 3, we find:
x = 135 / 3
x = 45
Therefore, the length of the shorter piece of tape is 45 centimetres.
Halla el área total y el volumen de un prisma triangular de altura 6cm y base un triángulos equilátero de lado 5cm. Redondea el resultado a dos cifras decimales
Answers
Para encontrar el
área total y el volumen del prisma triangular, primero calculamos el área de la base usando la fórmula para el área de un triángulo equilátero y luego calculamos el volumen y el área total usando esta área de base y la altura del prisma.
Para hallar el
área total
y el volumen de un prisma triangular con una altura de 6 cm y una base que es un triángulo equilátero de lado 5 cm, primero calculamos el área de la base. La fórmula para el área de un triángulo es A = (base
× height) / 2. En un triángulo equilátero, la altura se puede encontrar usando la fórmula height = (sqrt(3)/2)
× lado. Por lo tanto, la altura es height = (sqrt(3)/2)
× 5 cm.
Calculamos el área de la base (Abase) como Abase = (5 cm
× (sqrt(3)/2)
× 5 cm) / 2 = (5
× 5
× sqrt(3)) / 4, y luego redondeamos el resultado a dos cifras decimales para obtener el área de la base en centímetros cuadrados.
El volumen del prisma (V) es el producto del área de la base y la altura del prisma, por lo que V = Abase
× height. El área total del prisma es la suma del área de las tres caras rectangulares (Area laterales = perímetro de la base
× altura del prisma) más el doble del área de la base (Area total = Area laterales + 2
× Abase).
Para concluir, aplicamos los valores y calculamos tanto el
área total como el
volumen del prisma triangular, redondeando cada uno a dos cifras decimales.
Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they
Answers
Answer:
Samuel is 18 and Samuel's father is 40
Step-by-step explanation:
Let F be Samuel's father's age
Let S be Samuel's age
F = 2S + 4
F - S = 22
F = 40
S = 18
Answer:
samuel is 18 and his father is in his 40s
Step-by-step explanation:
I need help with this!!!
Answers
Answer:
Attached the answer below!!
Step-by-step explanation:
Hope this Helps!!
you flip a coin, what is p (tails)?
Answers
Answer:
1/2
Step-by-step explanation:
There are 2 sides to a coin, heads and tails
P (tails) =number of tails/ total
= 1/2
find the selling price if the cost price is $560 and the gain is 15% on cost
Answers
Answer: 644
Step-by-step explanation:
plz follow my format
cp percent multiplayer sp
560 +15 115/100
sp = 560 *115/100= 644
Answer:
Given :
Cost Price = $560Gain % = 15%To Find :
Selling PriceUsing Formula :
[tex]{\star{\small{\underline{ \boxed{\sf{\purple{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}}}}[/tex]
Solution :
Finding the selling price by substituting the values in the formula :
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + Profit \%}{100} \times Cost \: Price}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{100 + 15}{100} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \dfrac{115}{100} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \cancel{\dfrac{115}{100}} \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = 1.15 \times 560}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{Selling \: Price = \$644}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\sf{\red{Selling \: Price = \$644}}}}}}}[/tex]
Hence, the selling price is $644.If x^2+Mx+m is a perfect square trinomial, which equation must be true
Answers
Answer:
Um i think you forgot to give us the answer choices
any way here is my answer ( x + M /2 )↑ 2 + m − M↑ 2/4
Step-by-step explanation:
What i did was use the formula (b/2)↑2 to create a new term to complete the square
The "/" signifies a fraction
the "↑" signifies a exponent.
Hope it helps.
Which of the following graphs represents a one-to-one function?
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).
Answers
Answer:
The correct answer is the third graph
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i neeed helpppp plz 50 points
Part A
Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A
Yes
B
No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer:
Note: Type the answer as shown. Ex: (3:8)
Answers
Answer:
A. Yes
B. 5 : 1
Step-by-step explanation:
Case 1
Friends : strangers
20 : 15
4 : 3
Case 2
Friends : Strangers
4 : 3
Ratio of friends
Case 1 : Case 2
20 : 4
5 : 1
Coach Curran's team has won 5 times and lost 2 times. He hopes that his team can keep this same ratio of wins to losses.
If the team had 10 losses, how many wins would they need to keep the record? Complete the table.
Answers
Answer:
25
Step-by-step explanation:
10 is 5 times the amount of 2 and by multiply 5 by 5 you would get 25
Answer:25
Step-by-step explanation: