Answer:
[tex]9 - 4\sqrt{2}[/tex]
Step-by-step explanation:
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
tan60° = [tex]\sqrt{3}[/tex]
tan45° = 1
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]
(2sin60°)(3tan60°) - (4tan45°)(2cos45°)
now substitute the values of each trigonometrical angles
[tex](2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )[/tex]
[tex]\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )[/tex]
[tex]3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }[/tex]
[tex]9 - 4 *\frac{2\sqrt{2} }{2}[/tex]
[tex]9 - 4 * \sqrt{2}[/tex]
[tex]9 - 4\sqrt{2}[/tex]
What is the reflection of point P (2, -7) over the x-axis
Answer:
(2,7) I think
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
It's funny, this is the exact topic I just learned.
Ok, 2,-7 would be in the fourth quadrant (IV).
So using this information if we want to reflect it over the x axis, the point would just got over the x axis in quadrant 1. We know that quadrant 1 is (++) so the ordered pair MUST be positive. Hence the answer of (2,7)
Hope this helps!
Una maestra esta comprando lapices para su salon de clases. Si una docena de lapices cuesta $0.79 puede comprar lapices con $5?
Answer:
Cantidad total de lapices= 76
Step-by-step explanation:
Dada la siguiente información:
Costo por docena= $0.79
Presupuesto total= $5
Para calcular la cantidad total de lapiceras que se pueden comprar con $5, debemos usar la siguiente formula:
Cantidad total de lapices= presupuesto total / costo por docena
Cantidad total de lapices= 5 / 0.79
Cantidad total de lapices= 6.33
Para ser mas exactos:
0.33*12= 4
Cantidad total de lapices= 6*12 + 4
Cantidad total de lapices= 76
a bookcase is 500mm wide how many of these bookcase will fill a
space 2m wide
I think 4 but I could be wrong
21 POINTS!! Thank you so much!! There’s also things on my page worth lots points points as well! So if you could help with those that would be awesome!!
Answer:
Second one
third one
fifth one
last one
Step-by-step explanation:
Based on the x intercepts we can write
a(x+1)(x-5)
where a is some constant
solve for a by plugging in some coordinates
let's plug in (1,-8)
-8=a(1+1)(1-5)
-8= -8a
a=1
therefore the quadratic is (x+1)(x-5)
expand this
x²-4x-5
To find out where something is decreasing/increasing it's easiest to take the first derivative
x²-4x-5= 2x-4
set this equal to 0
2x-4=0
2x=4
x=2
Which means that our two intervals are
(-∞,2)U(2,∞)
plug in any values in the intervals to see whether or not the function is increasing/decreation
Let's plug in 0 for (-∞,2)
2(0)-4
-4
It's negative so it's decreasing on this interval
DO the same thing with the other one
let's plug in x=3
2(3)-4
2
this is positive so it's increasing on this interval
Go back to the critical value of x=2 and plug this into the equation to find the max/min
(2+1)(x-5)= -9
This is a minimum because the cofeccient for the degree is positive
For the limit one notice that we have a positive, even degree which means the end behavior is positive, positive
what this means is as x approaches negative infinity it's infinity
and as x approaches infinity it's infinity
Can I please get some help? I would really appreciate it.
there are 13 apples in a basket 4 of these apples are green the rest of them are red
Answer:
9 : 13
Step-by-step explanation:
Here is the complete question :
there are 13 apples in a basket 4 of these apples are green the rest of them are red
What what is the ratio of red apples to all the apples in the basket
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
ratio of red apples to all the apples in the basket = Number of red apples : total number of apples
Number of red apples = total number of apples - number of green apples
13 - 4 = 9
9 : 13
Please answer
Evaluate 60st when s = 5 and t = -3.7
Answer:
[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]
Answer:
-1110
Step-by-step explanation:
given:
s = 5
t = -3.7
to find
60st
=60*s*t
=60*5*(-3.7)
=300*-3.7
=-1110
please help me i have 5 minutes left: )! ill give Brainliest thanks<3
Answer:
B
Step-by-step explanation:
B
Solve for x in the equation
Answer:
its the first one
Step-by-step explanation:
HELPP PLEASEEE thanks!
Answer:
about 1587
that is the answer to the question
Step-by-step explanation:
I just typed it in a calculator
Answer: D
Step-by-step explanation:
Area is pi x r^2
Diameter is 2r
46.7/2 = 23.35
3 x 23.35^2 = 1635.67 or closest to D
Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days. If they both went to the park today and met each other, after how many days again will they be in the park and meet again?
Answer:
70 days
Step-by-step explanation:
We solve using Lowest Common Denominator method
Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.
Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.
Hence:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90
Therefore,
LCM(7, 10) = 70
Therefore, the number of days in which they will they be in the park and meet again is 70 days
The circumference of a circle is 125.6
kilometers. What is the circle's radius?
Answer:
r = 20 km
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = 2πr
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
C = 125.6 km
Step 2: Solve for r
Substitute in variables [Circumference of a Circle Formula]: 125.6 km = 2(3.14)rMultiply: 125.6 km = 6.28r[Division Property of Equality] Divide 6.28 on both sides: 20 km = rRewrite: r = 20 kmAnswer:
197.29
Step-by-step explanation:
Multiple the circumfernece by 3.14 and then divide that number by 2.
Which is the degree measure of an angle whose tangent is 1.19? Round the answer to the nearest whole number. A. 48° B. –48° C. 50° D. –50°
9514 1404 393
Answer:
C. 50°
Step-by-step explanation:
The angle whose tangent is 1.19 is ...
arctan(1.19) ≈ 49.9585° ≈ 50°
The 50° measure of an angle whose tangent is 1.19.
What is tangent?Tangent in geometry, is defined as "a line or plane that touches a curve or curved surface exactly at one point" .
According to the question,
The degree measure of an angle whose tangent in 1.19.
In order to an angle only if arctan(119) = 49.9585 ≈ 50.
Hence, the 50° measure of an angle whose tangent is 1.19.
Learn more about Tangent here
https://brainly.com/question/20725027
#SPJ2
The temperature is below 2 degrees Fahrenheit.
t < 2
A number line going from 0 to 3. A closed circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2. Everything to the right of the circle is shaded.
Answer:
A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.
Step-by-step explanation:
First, remember that when an endpoint is not in the solution set, we graph an open circle. While if the endpoint is in the solution set, we graph it with a closed circle.
For example, in:
x > 2
x = 2 is not a solution, then we will have an open circle at x = 2
While in the case of:
x ≥ 2
x = 2 is a possible solution, then we graph with a closed circle.
Ok, in this case we have:
t < 2
t is strictly smaller than 2, and t = 2 is not a solution.
Then:
we will have an open circle at 2, and we need to shade all the values to the left of 2 (the values smaller than 2)
The correct option is:
A number line going from 0 to 3. An open circle is at 2. Everything to the left of the circle is shaded.
Answer:
the middle one.
Step-by-step explanation:
Which correctly describes the height of a
cylinder?
A) The distance
between the two
circular
bases.
B) The distance
across the
circular
Base of the
cylinder
Answer:
A
Step-by-step
If i ever explain the height of a cylinder is would say from the top to the bottom. So A is the correct answer
How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?
Answer:
The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Step-by-step explanation:
The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]
Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Which equation represents a line which is perpendicular to the line 6x+y=-4
Answer:
y = 1/6x - 4
Step-by-step explanation:
y = -6x - 4
current slope is -6 so the slope of a line perpendicular would be 1/6
y = 1/6x - 4
Plz help!!! I will brainliest and no links!! Also plz explain ur answer!!
Mrs. O and her family decided to go to Disneyland for vacation. When they left their house, they had to put 3/4 of a tank of gas in their car. When they got to St. George, they put 1/2 of a tank of gas in their car. How much more gas did they put in the car the first time?
Answer:
2/7
Step-by-step explanation:
So we multiply 3 by 2, and get 6.
Then we multiply 1 by 4, and get 4.
Next we give both terms new denominators -- 4 × 2 = 8.
So now our fractions look like this:
6/8 - 4/8
6 − 4 = 2
So the answer is:
2/8
could u help me last part :)
Answer: 288pi in cubed
Step-by-step explanation: because area of a circle is pir^2 so 36*8=288
Need help ASAP, willing to give brainliest to the best answer!
Answer:
Question number 1: 70
Question number2: 0
Question number 3: Mike team
Step-by-step explanation:
Question number 1: Just add all of the numbers together and you will get 70 as your answer.
Question number 2: Becuase everyone in the team has scored at least 1 point or greater.
Question number 3: Mike's team becuase he and his team has the most points out of all the other teams.
Hope this helps :D
Leila works mowing lawns and babysitting. She earns $8.30 an hour for mowing and $7.30 an hour for babysitting. How much will she earn for 6 hours of
mowing and 4 hours of babysitting?
Answer:
$79 total earnings
Step-by-step explanation:
Here, earnings = (hourly rate)(number of hours):
= ($8.30/hr)(6 hrs) + ($7.30/hr)(4 hrs), or
Total earnings = $49.80 + $29.20
" " = $79.00
Find the total area
Answer:
I think it's 33 I don't know
I got it partially right I think but I need help !
Answer:
U got it correct
Step-by-step explanation:
what is the value of x? 0 = x/6 - 3
Answer:
18 = x
Step-by-step explanation:
0 = x/6 - 3
Add 3 to each side
0+3 = x/6-3+3
3 = x/6
Multiply by 6 on each side
3*6 = x/6*6
18 = x
The number of texts per day by students in a class is normally distributed with a
mean of 130 texts and a standard deviation of 20 texts. Identify all true statements.
1. A little more than 2% of the students text
under 90 times per day.
2. About 50% of the students text more than 130 times per day.
3. About 15% of the students send over 190 texts per day.
4. About 68% of the students text between 100 and 130 times.
5. A student texting 130 times per day would have a z score of 1.
6. A student texting 160 times falls between 1 and 2 standard deviations from the mean.
Answer:
1, 2, 6
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]
Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts
1) For x < 90:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2[/tex]
From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%
Option 1 is correct
2) For x > 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%
Option 2 is correct
3) For x > 190:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3[/tex]
From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%
Option 3 is incorrect
4) For x < 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
For x > 100:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5[/tex]
From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%
Option 4 is incorrect
5) For x = 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
Option 5 is incorrect
6) For x = 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5[/tex]
Since 1.5 is between 1 and 2, option 6 is correct
can anyone simplify 5(x-6)
Answer:
5x - 30
Step-by-step explanation:
5(x-6)
Distribute the 5 to both terms inside the parentheses
5*x - 5*6
5x - 30
Answer:
5x-30
Step-by-step explanation:
use the distributive property
Which of the following theorems verifies that XYZ - UWV
Answer:
I think it's AA because the sum of a triangle is 180 and if you subtract the right angle and the other angle from 180 it gives you the same angle in the other triangle.
Step-by-step explanation:
180-(90+70)=20 The other angle in the first triangle
180-(90+20)=70 The other angle in the second triangle
These angles show that they're similar
Question 12
A tree is standing next to a 40 foot high building. The tree has an 18 foot shadow, while the building has a 16 foot shadow. How tall is the tree rounded to the nearest foot?
А
42 feet
B
36 feet
c
45 feet
D
7 feet
2021 Illuminate Education Inc
Answer:
A
Step-by-step explanation:
Rationalize 1/√18
Will Mark as Brainliest for the best
Answer:
[tex]\frac{\sqrt{2} }{6}[/tex]
Step-by-step explanation
[tex]\frac{1}{\sqrt{18} } \\\frac{1}{\sqrt{18} } *\frac{\sqrt{18} }{\sqrt{18} } \\\frac{1*\sqrt{18} }{(\sqrt{18} )^2} \\\frac{1\sqrt{18} }{18} \\\frac{3\sqrt{2} }{18} \\\frac{\sqrt{2} }{6}[/tex]
7.865 rounded to the nearest whole number
Answer:
8
Step-by-step explanation:
Since the first decimal place is greater than 5, it rounds to 8, because 8 is the next whole number to 7.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
