Answer:
??
Step-by-step explanation:
When simplified, StartFraction tangent (40 degrees) minus tangent (10 degrees) Over 1 + (tangent (40 degrees) ) (tangent 10 degrees) ) EndFraction is equivalent to which expression?
Answer:
C. tan(30°)
Step-by-step explanation:
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The equivalent fraction is [tex]\frac{sin 40\textdegree. {cos10\textdegree} - {sin 10\textdegree}{cos40\textdegree}}{{cos 40\textdegree. {cos10\textdegree} + {sin 10\textdegree}{sin40\textdegree}}}[/tex].
The given expression is tan 40°-tan 10°/1+tan 40°.tan 10°.
How do simplify the trigonometric expression?When simplifying trigonometric expressions, one approach is to change everything into sine or cosine.
Now, [tex]\frac{\frac{sin40\textdegree}{cos40\textdegree} -\frac{sin10\textdegree}{cos10\textdegree}}{1+\frac{sin40\textdegree}{cos40\textdegree} .\frac{sin10\textdegree}{cos10\textdegree} }[/tex]
=[tex]\frac{sin 40\textdegree. {cos10\textdegree} - {sin 10\textdegree}{cos40\textdegree}}{{cos 40\textdegree. {cos10\textdegree} + {sin 10\textdegree}{sin40\textdegree}}}[/tex]
Therefore, the equivalent fraction is [tex]\frac{sin 40\textdegree. {cos10\textdegree} - {sin 10\textdegree}{cos40\textdegree}}{{cos 40\textdegree. {cos10\textdegree} + {sin 10\textdegree}{sin40\textdegree}}}[/tex].
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estimate each quotient by rounding the dividend and the divisor to the largest place value
1. 2,756 divided by 532.
2. 22,528 divided by 98
3. 7,790 divided by 210
4. 17,658 divided by 360
5. 916 divided by 320
Answer:
5
230
3
0
3
Step-by-step explanation:
1)5.2 estimated is 5
2)229.9 estimated is 230
3)37.1 estimated is 3
4)0.0 estimated is 0
5)2.9 estimated is 3
the area A (in square feet) of the rectangular shed is given by
6x^3+7x^2+11x+21. use polynomial long division to find an expression for the length (in feet) of the shed
This question is incomplete.
Complete Question
The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.
Answer:
3x² - x +7
Step-by-step explanation:
Using the long division method:
We have :
Divisor : 6x³+7x²+11x+21
Dividend : 2x+3
Quotient : the length (in feet) of the shed = ???
Hence, we solve below
6x³+7x²+11x+21 ÷ 2x + 3
3x² -x + 7
______________________
2x+3 l 6x³+7x²+11x+21
6x³+9x²
__________
-2x²+11x
-2x²-3x
__________
14x+21
14x+21
_______
0
Therefore, an expression for the length (in feet) of the shed is 3x² - x +7
can someone help me with this please !!
How do you write 462 in scientific notation?
x 10
Answer:
could you explain more?
Step-by-step explanation:
On a certain hot summer's day, 151 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $270.50 How many children and how many adults swam at the public pool that day?
Answer: 63 children and 88 adults swam at the public pool that day.
Step-by-step explanation:
Let x = Number of children
y= Number of adults
As per given , we have
x+y=151 (i)
1.50x+2y=270.50 (ii)
Multiply 2 on both sides of (i)
2x+2y = 302 (iii)
Eliminate (ii) from (iii)
0.5x=31.5
⇒ x = 63 [Divide both sides by 0.5]
Put value of x in (i) , we get
63+y= 151
⇒ y= 151-63 =88
Hence, 63 children and 88 adults swam at the public pool that day.
Estimate sixty-two percent of one hundred twenty-four.
3. What is the decimal equivalent of each
rational number?
a. 9/11
b. 4/5
c. -17/5
d. 5/9
Answer:
a. 0.81818182
b. 0.8
c. -3.4
d. 0.55555556
Step-by-step explanation:
Point (x, y) lies on the perpendicular bisector of . What is the value of x?
Record your answer and fill in the bubbles on your answer document.
Answer:5
Step-by-step explanation:
A line contains points M(1, 3) and N(5, 0). What is the slope of MN? -4/3 -3/4 3/4 4/3
Answer:
Step-by-step explanation:
B
what is significant figures
Answer:
Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.
Step-by-step explanation:
marcys breakfast table has a square table top with an area of 36 square feet. what is the diagonal length of the table top
Answer:
√36 = 6
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
√72 = c
2 36
2 18
2 9
3 3
6√2 = c
6√2 = (estimate rounded up, 8.49)
Last weekend, the movie theater in Lowell issued 2,320 tickets to comedies. This
weekend, it issued 116 tickets to comedies. What is the percent of decrease in the number of
comedy ticket issued per weekend?
Answer:
95%
Step-by-step explanation:
95% of 2,320 = 2204
2320 - 2204 = 116
how many solutions does 6 -3x = 12 - 6x have?
A. two solutions.
B. no solutions.
C. one solution.
D. infinitely many solutions.
Answer:
Step-by-step explanation:
6-3x=12-6x
Only one solution of x=2
What are the two radicals that surround /125
Answer:
[tex]+5\sqrt{5} and -5\sqrt{5}[/tex]
Step-by-step explanation:
The radicals are [tex]+5\sqrt{5} and -5\sqrt{5}[/tex]
as [tex]5\sqrt{5}* 5\sqrt{5} = 125[/tex]
also [tex]-5\sqrt{5} *-5\sqrt{5} = 125[/tex]
Please help, I'm supposed to write an equation in slope-intercept form from the graph
Answer:
y = -1/2x + 1
~theLocoCoco
HELP ASAP I HAVE TO GET IT DONE
Solve for x in the diagram below
Answer:
x = 35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Equality PropertiesGeometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up equation
40° + (2x + 30)° + 40° = 180°
Step 2: Solve for x
Combine like terms: 2x + 110 = 180Subtract 110 on both sides: 2x = 70Divide 2 on both sides: x = 35given f(x)=-x+2 find f(-1)
Answer:
f(-1)=3
Step-by-step explanation:
plug in -1 for x
-(-1)+2
negative and negative make a positive 1+2=3
Lionheart Ranch has bought a new herd of race horses. If there is one stable for every four horses, which equation shows the correct relationship between the number of stables (S) and the number of horses (H)?
Answer:
1S=4H
Step-by-step explanation
find the slope of the line
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The line goes up 2 units and right 3 units.
Answer:
the slope is 6/7
Step-by-step explanation:
Jon is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w = f. What is the scale factor of water to flour?
Answer:
1:1
Step-by-step explanation:
w = f, which means the amount of water equals the amount of flour.
NEED HELP THIS IS TIMED WILL MARK BRAINIEST!!!
Answer:
It’s A hope this is right good luck
please help I'm actually crying! Find A and B if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x - 7y = 3.
i have less sympathy for ur crying when you copy and paste this question and ask it again three times. why dont you just ask it once? everyone answers anyway
What is the fully factored form of 32a3 + 12a2? 4a2(8a + 3) 4a(8a2 + 3a) 12a2(3a + 1) 12a(3a2 + a)
Answer:
4a^2 (8a+3)
Step-by-step explanation: it’s right
Answer:
A.
Step-by-step explanation:
edg 2021
Qual é a soma das coordenadas do vértice de uma função do segundo grau definida por f(x) = 2x² + 10x + 12?
Answer:
???
Step-by-step explanation:
Solve the right triangle. Round decimal answers to the nearest tenth
Answer:
AB = 15
m∠A = 53.1°
m∠B = 36.9°
Step-by-step explanation:
From the picture attached,
By Applying Pythagoras theorem,
AB² = AC² + BC²
AB² = 9² + (12)²
AB² = 81 + 144
AB = √225
AB = 15
tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{12}{9}[/tex]
= 1.3333
B = [tex]\text{tan}^{-1}(1.3333)[/tex]
= 53.13
≈ 53.1°
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53.1° + 90° = 180°
m∠A = 180°- 143.1°
= 36.9°
Answer:
AB = 15
m∠A = 53.1°
m∠B = 36.9°
You bike 14 ଵ ସmiles from your house to a state park. You travel ଵ ଷof that distance in the woods. You bike along the bank of a stream for the last ଵ ଶof the woods. On how many miles of your trip do you bike along the bank of the stream?
Answer:
17 miles
Step-by-step explanation:
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Answer:
Я знаю, что ты крут, и мне очень нравится твой pfp
Step-by-step explanation:
You play a game that involves spinning the money wheel shown. You spin the wheel twice. Find the probability that you get more than $500 on your first spin and then go bankrupt on your second spin. Round your answer to the nearest tenth.
Answer:
about 2.8%
Step-by-step explanation:
3n to the 2nd power+2
Answer:
11n
Step-by-step explanation:
We don't know the value of N, so we leave that the same.
3 to the second power, (3x3)= 9.
We have to add 2 to 9, so 9+2=11
Add your n to the end, and your answer is 11n.