Respuesta:
x = 270 grados
Explicación paso a paso:
Dada la expresión de trigonometría
25 cos ^ 2x = 16 sin ^ 2x + 32 sinx + 16
Recuerde que cos²x + sen²x = 1
cos²x = 1-sen²x
Sustituir en la ecuación original
25 (1-sen²x) = 16 sen²x + 32 senx + 16
Expandir
25 - 25 sen²x = 16 sen²x + 32 senx + 16
16 sen²x + 25 sen²x + 32 senx + 16 - 25 = 0
41 sen²x + 32 senx - 9 = 0
Sea P = senx
41P² + 32P - 9 = 0
Factorizar
41P² + 41P -9P- 9 = 0
41P (P + 1) -9 (P + 1) = 0
(41P-9) (P + 1) = 0
41P = 9 y P = -1
Si P = -1
sinx = -1
x = arcosen (-1)
x = -90
ya que el pecado es negativo en el tercer cuadrante;
x = 180 + theta
x = 180 + 90
x = 270 grados
What is the interquartile range (IQR)?
Answer:
IQR = 3
Step-by-step explanation:
if you create a box plot from the data provided, you get these values:
minimum: 4
quartile 1: 5
median: 6.5
quartile 3: 8
max: 22
range: 18
IQR is the difference between the 3rd and 1st quartiles
∴ the answer is 8-5 or 3
Evan recorded the total inches of rain per week during two wet spring months. He ordered his data in the list below. Weekly rainfall (inches): 2.4, 2.9, 3.6, 3.8, 4.1, 4.2, 4.7, 5. Which measure(s) best describes the weekly amount of rain during this period, to the nearest tenth of an inch?
A.the median only: about 3.9 in.
B.either the mean (about 3.8 in.) or the median (about 3.9 in.)
C.the mean only: about 3.8 in.
D.the range only: 2.6 in.
Answer:
B?
Step-by-step explanation:
Each sq. In. Of your body has about 6.5×10^2 pores. Suppose the back of your hand has an area of about 0.12×10^2 in^2
Answer:
7800 pores on the back of your hand
Step-by-step explanation:
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10^2)(.12 x 10^2) = 7800
The number of the pores on the back of your hand will be 7800
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
So, assuming the question is how many pores on the back of your hand...
Multiply the number of pores per square inch by the area of the back of your hand.
(6.5 x 10²)(.12 x 10²) = 7800
Hence the number of the pores on the back of your hand will be 7800
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Find the volume use pi as part of the equation round to nearest hundred
Answer:
V = 340.339
Step-by-step explanation:
V = [tex]\frac{\pi r^{2} h }{3}[/tex]
V = [tex]\pi[/tex][tex](5)^{2}[/tex] [tex]\frac{13}{3}[/tex] = 25[tex]\pi[/tex] [tex]\frac{13}{3}[/tex] = about 340.3392 = 340.339
Answer:
340.17 ft.
Step-by-step explanation:
Using the formula, πr²h ÷ 3 (3.14 × radius × radius × height ÷ 3), we can plug-in the unknown values.
'r' means radius; 'h' means height; 'π' means pi.
The radius is 5; the height is 13.
πr²h (3.14 × radius × radius × height ÷ 3) - π5² × 13 = 340.166666667 (3.14 × 5 × 5 × 13 ÷ 3 = 340.166666667)
340.166666667 ≈ 340.17
Therefore, the area of this circular cone is 340.17 ft.
The area of a rectangle is 50 units?.
The length is 2, and the width is a
What is the value of x?
What is the width of the rectangle?
.
Which of the following shapes could have a triangular cross-section? Prism ,Cone ,Cylinder ,Pyramid ?
A) Prisms only
B) Prisms and Cones
C) Prisms, Cones, and Pyramids
D) Prisms, Cylinders, and Pyramids
please help me
Plz help geometry will mark brainliest!!
Answer:
x = 20
Step-by-step explanation:
A shipping container is in the shape of a right rectangular prism with a length of 7.5
feet, a width of 1.5 feet, and a height of 6.5 feet. The container is completely filled
with contents that weigh, on average, 0.34 pound per cubic foot. What is the weight
of the contents in the container, to the nearest pound?
Answer:
3
Step-by-step explanation:
because two plus two
Find A and B. Using the image above.
Answer:
a = 7, b = [tex]\frac{7\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{b}[/tex] = [tex]\frac{7}{b}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by b )
b × [tex]\sqrt{3}[/tex] = 7 ( divide both sides by [tex]\sqrt{3}[/tex] )
b = [tex]\frac{7}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{7\sqrt{3} }{3}[/tex]
Eric starts with 10 milligrams of a radioactive substance. The amount of the substance decreases by 12 each week for a number of weeks, w. He writes the expression 10(12)w to find the amount of radioactive substance remaining after w weeks. Andrea starts with 1 milligram of a radioactive substance. The amount of the substance decreases by 20% each week for a number of weeks, w. She writes the expression (1−0.2)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Eric’s and Andrea’s expressions mean.
Answer:
In Pic
Brainliest?
Step-by-step explanation:
Answer: Mark as brainliest "If" help
Step-by-step explanation: Hope It helps,,
slope (7,-4) and (7,-1)
Answer:
undefined
Step-by-step explanation:
line is straight up and down
Answer:
Undefined. It ends up being 3/0 which can't happen so it remains undefined.
Step-by-step explanation:
find the remainder when x⁴+x³-2x²+x+1 divided by x+1
Answer:
[tex]\frac{-2}{x+1}[/tex]
Step-by-step explanation:
[tex]x^3-2x+3-\frac{2}{x+1}[/tex]
also if ur brainly staff and seeing this
plz remove/delete my account asap tysm
If using the method of completing the square to solve the quadratic equation x2 – 3x + 20 = 0, which number would have to be added to "complete the square"?
Answer:
⁹/₄Step-by-step explanation:
The square is: a²-2ab+b²
We have
[tex]x^2-3x[/tex]
it's: [tex]x^2-2\cdot x\cdot\frac32[/tex]
so we need: [tex]\left(\frac32\right)^2=\frac94[/tex]
[tex]x^2-2\cdot x\cdot\frac32+\frac94-\frac94+20=0\\\\(x-\frac32)^2-2.25+20=0\\\\(x-\frac32)^2=-17.75[/tex]
witch, of course, means no solution
please answer as soon as possible !!!
Answer:
hey I will answer.
Step-by-step explanation:
translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).
Write an algebraic expression for the phrase below
12 less than twice a number n
A 12 - n -n B 6 - 2n C 2n - 12 D 12n – 2
Answer:
The answer is C: 2n - 12. Hope this helps!
Please help me I have been stuck for a while now
The square root of 9 is 3, so the square root of 11 would be a little greater than 3
The answer would be C. 3.3
At what rate percent will the interest on Rs. 6300 in 10 years be equal to its principal?
Answer:
the answer is 10÷6300×100=0,16%Consider the following expression. 5b+7a+26a Select all of the true statements below.
^ 5b is a factor.
^7a and 6a are like terms.
^ 5b is a term.
^ 5b is a coefficient.
^ 2 is a constant.
^None of these are true.
Answer:
Second, third and last are correct
Hal and Samantha are going on a trip to the state park. They want to be out there for no more than 8 hours, and they also want to travel at least 30 miles. They can hike at a rate of 3 mph, and they can canoe at a rate of 6 mph. If the solution region is the amount of time they spend hiking and canoeing so that they can meet their goals, which graph's shaded area represents the solution region?
Answer:
z
Step-by-step explanation:
سلام. ایرانی ها بیان فالو بک بدیم
[tex] \sqrt[5]{1024} = \frac{?}{?}[/tex]
2^10/5 = 2^2 = 4
................................
how many 3 letters words can be formed with or without meaning from the letters DURIAN
Answer:
120 ways
Step-by-step explanation:
For this question, you just have to use the permutation technique or multiplication rule.
By using the multiplication rule,
6×5×4=120 ways
By using the permutation technique,
6P3=120 ways
correct me if I'm wrong
i need help with this
Sq:
6*6=36
RG:
13+4=17
17*5=85
4*4=16
36+16+85=137
A= 137 in^2
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
B. 21 mi
A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.
What is Pythagoras's Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
Let x be the length of the boat from the dock.
From the Pythagoras' theorem
[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]
Hence, the length of the boat from the dock will be 15 miles.
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What is the result when the number 72 is decreased by 44%? Round your answer to the nearest tenth.
if costs $2.28 for 12 fluid ounces of dishwashing detergent. what is the cost per fluid ounce?
Sofia buys 6 goldfish. Each goldfish costs $2. Sofia pays for the goldfish with one $10 bill and one $5 bill.
How much change does Sofia get back?
Answer:
$3
Step-by-step explanation:
6 x $2 = $12
$15 - $12 = $3
$3 Answer
Answer:
3 is your answer i have the same quiz
Step-by-step explanation:
Complete the table using the equation
Answer:
x -1 0 1 2 3
y 2 4 6 8 10
Step-by-step explanation:
y = 2x + 4
x = -1: y = 2(-1) + 4 = 2
x = 0: y = 2(0) + 4 = 4
x = 1: y = 2(1) + 4 = 6
x = 2: y = 2(2) + 4 = 8
x = 3: y = 2(3) + 4 = 10
x -1 0 1 2 3
y 2 4 6 8 10
A bag of M&M's have 5 red, 9 green and 2 brown left in it. You draw out one M&M and put it back then draw another. What is the probability of drawing a red first and a red second? Write your answer as a decimal rounded to the nearest thousandth
Answer:
0.098
Step-by-step explanation:
Will pay for answer
Triangle DEF has vertices at the coordinates D(1,-1), E (3,4), and F(4,2). Where does the median from E Intersect DF? Compute the
length of that median. (The use of the grid is optional.)
Need ASAP
Answer:
3.54
Step-by-step explanation:
let M be the midpoint of DF
M (x,y): x = (1+4)/2 = 2.5 y = (2 + -1)/2 = 0.5
Median from E intersect DF: EM = √(3 - 2.5)² + (4 - 0,5)²
EM = √0.5² + 3.5² = 3.54
plz this is due today
Answer:
F
Step-by-step explanation:
3.5*3=10.5