Answer:
[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]
Step-by-step explanation:
Given
[tex]\tan A =-\sqrt{15[/tex]
Required
Find [tex]\tan(A - \frac{\pi}{4})[/tex]
In trigonometry:
[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]
This gives:
[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]
[tex]tan \frac{\pi}{4} = 1[/tex]
So:
[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]
[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]
This gives:
[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]
Answer:
StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction
Step-by-step explanation:
EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
The product of a number and -3 increased by 8 is no less than 35.
Answer:
x = -9
Step-by-step explanation:
-3x + 8 =35
-3x = 27
x = -9
Answer:
x=-9. Success to the homework.
EFGH is translated 3 units to the left and 7 up. what are the coordinates of H?
Answer:
B
Step-by-step explanation:
The coordinates of H will be (3,5)
The formula for this is
(x,y) —> (x-3, y+7)
This is because the x value is what moves left and right and the y value moves up and down
if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?
Answer:
8 bags
Step-by-step explanation:
If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
select the statement that does not correctly use probability to describe an event
Answer:
D
Step-by-step explanation:
Probability is, by definition, a number between 0 and 1, which can be expressed as a fraction or a percentage. For example, the odds of getting heads if you throw a fair coin are 50%, or ½. The odds of not getting heads are 1-½=½.
If the probability of something happening is 1, it means that that thing will happen for sure. Likewise, if the probability of an event is 0, it means that the event will never happen.
You can therefore easily understand that it doesn't make sense to have a probability greater than 1, as we have in choice D.
A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?
Answer:
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Step-by-step explanation:
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Need po ang answers ASAP nganong po exam namin
Give the opposite of each given interger
-56
-340
+39
+201
+1124
Identify what solid figure is being formed by combining the following plain figures
Six squares
Four rectangles and two squares
One rectangle and two circle
Eight triangles
One square and four triangles
HELPPP ASAP
The section of the basketball court below needs to be resurfaced. How many square feet of wood do you need to cover the area below? Use 3.14 for pi and round your answer to the tenths place (one decimal place).
Answer: 680.4 square feet
Step-by-step explanation:
please mark brainiest
A 60-inch flat screen gets its name from the Pythagorean Theorem. The "60" represents the diagonal of the
screen. If the base of the TV is 48 inches, find the height.
Select the correct response:
36 inches
072 inches
54 inches
24 inches
Answer:
A- 36 inches
Step-by-step explanation:
The equation gives you 60 as a diagonal, so that means that 60 is the hypotenuse. It also gives you 48 as the length of a base.
Putting that into the Pythagorean theorem, you get...
48^2 + ?^2 = 60^2
Now, you need to solve for ?. After solving through the equation and simplifying, you're gonna get 36.
Mark as brainliest if this helped :)
Hi can anyone help me with this question without the use of calculators please?
Answer:
[tex]\frac{11}{6}[/tex] units
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
6x² - 7x - 3 = 0 ← in standard form
(3x + 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Find the difference of the 2 x- intercepts using absolute value
distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]
What is the answer? i dont get it
Helpppp!!! Please! Thank u!!
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.
Answer:a
Step-by-step explanation:
Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Step-by-step explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm
(Solve): 6x^3 -x^2 - 19x - 6 = 0
Answer:
Step-by-step explanation:
After some trial and error, we can find that x = 2 is one solution to this problem. We know that then (x-2) is a solution. We can then do polynomial division to get a quadratic equation. We can then solve the quadratic equation to get the other two factors which are -1/3 and -3/2. You can also graph it and find the roots as well. There isn't a really good method to do this and it is more like trial and error.
I dont Know what to put here
But Anwer Pls
Answer:
12
Step-by-step explanation:
So, the 24cm, is the diameter, a little circle autonomy here, the diameter is the length across the circle, and the radius is to the mid point, or half-way point, which means that the radius is half the diameter, so, 24 ÷ 2 = 12
hope this helps:)
Everything is in da pic!
Problem 5
Answer: $490-------------------------
Explanation:
When we increase some value by 7%, we are effectively multiplying by 1.07
Note how 100% + 7% = 107% = 1.07
The 1.07 multiplier is then handy to use algebra to find the cost before tax is added
x = cost before tax
1.07x = cost after tax
1.07x = 524.30
x = 524.30/1.07
x = 490
Before tax, the water heater cost $490.
If we apply a 7% tax, then we pay 7% of 490 = 0.07*490 = 34.30 dollars on top of the $490 to get 490+34.30 = 524.30 which matches with the instructions. So our answer is verified.
Or you could use the 1.07 multiplier shortcut to see that 1.07*490 = 524.30
======================================================
Problem 6
Answer: $1301.12-------------------------
Explanation:
His gross pay is $1750. This is the amount he earned before any taxes are applied. The items of Medicare, Social Security, and Federal Withholding Income Tax, are all various taxes that Ian has to pay. So his gross pay will be reduced to some smaller value to get the net pay.
To find the total amount of taxes deducted from his paycheck, we add up the tax percentage values to get: 1.45+6.2+18 = 25.65
This means Ian is taxed at a total rate of 25.65% of his gross pay, and he has to pay 0.2565*1750 = 448.875 = 448.88 dollars to the government. This leaves 1750-448.88 = 1301.12 dollars left over for his net pay.
A slightly alternative way is to note how if Ian pays 25.65% of his gross pay, then he's left with 100% - 25.65% = 74.35% of his paycheck, and 0.7435*1750 = 1,301.125 which would round down to 1301.12
I'm rounding up when it comes to determining the amount of tax to pay, while rounding down any amount Ian has left over for his net pay. This ensures that we consider the worst-case scenario.
7/3 + x=3;x math I really need help
Given:
The equation is:
[tex]\dfrac{7}{3}+x=3[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{7}{3}+x=3[/tex]
Subtract both sides by [tex]\dfrac{7}{3}[/tex].
[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]
[tex]x=\dfrac{9-7}{3}[/tex]
[tex]x=\dfrac{2}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.
Factorize this question
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
Write an inequality for this graph
x > -75
keystrokes keystrokes
Answer:
the inequality would be x > -75
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
HELP PLEASE HURRY!!!!!!!!!!!!!
Answer:
i would say its b
Step-by-step explanation:
Classify this triangle by its sides and angles.
Answer:
obtuse equilateral
Step-by-step explanation:
shapes are easy :)
Answer:
obtuse scalene give crdit to the answer above
Which of the following shows a proper representation of vector addition using the head-to-tail method? Vector u + v goes up and to the right. 2 other vectors share the same origin and go to the left. Vector u + v goes up and to the right. 2 other have their terminal points on vector u + v. Vector u + v goes up and to the right. Another vector shares the same origin and shares a terminal point with another vector origin. The second vector shares a terminal point with vector u + v. Vector u + v goes up and to the right. 2 other vectors share the same origin. One goes up and to the right and the other up and to the left.
Answer:
3rd graph
Step-by-step explanation:
Edge 2021
Answer:
3rd graph
Step-by-step explanation:
Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how much apple juice does Lebron need to make 4 times the original recipe
Answer:
For 4 times the original recipe Lebron needs 12 cups of cranberry juice with 8 cups of apple juice.
Step-by-step explanation:
For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.
For 4 times the original recipe Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.
He will get 20 cups of punch.
We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.
[tex]\sqrt{9} = 9\frac{1}{2}[/tex]
Step-by-step explanation:
This problem is incorrect
the square root of 9 is two of the same numbers that are multiplied together to get 9 so [tex]\sqrt{9}[/tex]=3
9+1/2=9.5
Hope that helps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{Your\ equation: \sqrt{9} = 9\dfrac{1}{2}}[/tex]
[tex]\mathsf{\sqrt{9} = 3^2 = 3\times \bf 3}\\\\\mathsf{\sqrt{9}= \bf 3}[/tex]
[tex]\mathsf{9\dfrac{1}{2}}\\\\\mathsf{9\times2+ 1}\\\\\mathsf{9\times2=\bf 18}\\\\\mathsf{\bold{18} + 1 = \bf 19}\\\\\mathsf{\dfrac{19}{2}=\bf 9.5}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 3\neq 9.5}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The radius of a circle is 17 in. Find its area in terms of π.
A≈907.92in²
Because:
A=πr2=π·172≈907.92028in²
Answer:
289π or 907.46 in
Step-by-step explanation:
The formula for area of a circle is π r².
The radius is 17, so the first step is 17².
17²= 289
Next, you multiply 289 by pi (3.14).
3.14 x 289 = 907.46.
Therefore, the area in terms of pi is 289π or 907.46 in.
 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
2
a
=
2
,
b
=
−
6
b
=
-
6
, and
c
=
5
c
=
5
into the quadratic formula and solve for
x
x
.
6
±
√
(
−
6
)
2
−
4
⋅
(
2
⋅
5
)
2
⋅
2
6
±
(
-
6
)
2
-
4
⋅
(
2
⋅
5
)
2
⋅
2
Simplify.
Tap for fewer steps...
Simplify the numerator.
Tap for fewer steps...
Raise
−
6
-
6
to the power of
2
2
.
x
=
6
±
√
36
−
4
⋅
2
⋅
5
2
⋅
2
x
=
6
±
36
-
4
⋅
2
⋅
5
2
⋅
2
Multiply
−
4
-
4
by
2
2
.
x
=
6
±
√
36
−
8
⋅
5
2
⋅
2
x
=
6
±
36
-
8
⋅
5
2
⋅
2
Multiply
−
8
-
8
by
5
5
.
x
=
6
±
√
36
−
40
2
⋅
2
x
=
6
±
36
-
40
2
⋅
2
Subtract
40
40
from
36
36
.
x
=
6
±
√
−
4
2
⋅
2
x
=
6
±
-
4
2
⋅
2
Rewrite
−
4
-
4
as
−
1
(
4
)
-
1
(
4
)
.
x
=
6
±
√
−
1
⋅
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
(
4
)
-
1
(
4
)
as
√
−
1
⋅
√
4
-
1
⋅
4
.
x
=
6
±
√
−
1
⋅
√
4
2
⋅
2
x
=
6
±
-
1
⋅
4
2
⋅
2
Rewrite
√
−
1
-
1
as
i
i
.
x
=
6
±
i
⋅
√
4
2
⋅
2
x
=
6
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4
2
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Rewrite
4
4
as
2
2
2
2
.
x
=
6
±
i
⋅
√
2
2
2
⋅
2
x
=
6
±
i
⋅
2
2
2
⋅
2
Pull terms out from under the radical, assuming positive real numbers.
x
=
6
±
i
⋅
2
2
⋅
2
x
=
6
±
i
⋅
2
2
⋅
2
Move
2
2
to the left of
i
i
.
x
=
6
±
2
i
2
⋅
2
x
=
6
±
2
i
2
⋅
2
Multiply
2
2
by
2
2
.
x
=
6
±
2
i
4
x
=
6
±
2
i
4
Simplify
6
±
2
i
4
6
±
2
i
4
.
x
=
3
±
i
2
x
=
3
±
i
2
The final answer is the combination of both solutions.
x
=
3
2
+
i
2
,
3
2
−
i
2
x
=
3
2
+
i
2
,
3
2
-
i
2
Factorice lo siguiente
5
Answer:
61
Step-by-step explanation:
marque esta respuesta como la más inteligente
The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.
Answer:
Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation: