1. Using a calculator, we find that cos 10 ≈ 0.98.
2. Using a calculator, we find that sin 30 ≈ 0.50.
3. Using a calculator, we find that sin 20 ≈ 0.34.
4. Using a calculator, we find that tan 25 ≈ 0.47.
5. Using a calculator, we find that tan 48.5 ≈ 1.14.
Using a calculator to evaluate the given trigonometric functions, rounded to the nearest hundredth, we have:
Cos 10:
Using a calculator, we find that cos 10 ≈ 0.98.
Sin 30:
Using a calculator, we find that sin 30 ≈ 0.50.
Sin 20:
Using a calculator, we find that sin 20 ≈ 0.34.
Tan 25:
Using a calculator, we find that tan 25 ≈ 0.47.
Tan 48.5:
Using a calculator, we find that tan 48.5 ≈ 1.14.
These values represent the approximate decimal values of the trigonometric functions at the given angles, rounded to the nearest hundredth.
Just a reminder, when using a calculator, make sure it is set to the correct angle mode (degrees or radians) as per the given problem.
It's important to note that these values are approximate since they are rounded to the nearest hundredth. If you need more precise values, you can use a calculator that allows for a greater number of decimal places or use trigonometric tables.
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Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
what's is the area of circle of circle with a radius of 7 inches use =3.14.
Answer: To find the area of a circle you use pi x rsquared. So just 3.14x7^2= 153.86
Step-by-step explanation:
Use the diagram to find the angle measures of triangle recall that the sum of the angle measures of a triangle 180
Answer:
x=19º
x+9=28º
7x=133º
Step-by-step explanation:
x+9+x+7x=180
9x+9=180
9x=180-9
9x=171
x=19
Answer:
Bottom left angle is 19°
Bottom right angle is 28°
Top angle is 133°
Step-by-step explanation:
Since all angles of a triangle add up to 180° we know x + 7x + x+9=180. then we combine like terms to get 9x+9=180. Next, we do inverse operation to find X. First subtract 9 from both sides of the equation to get 9x=171 then divide 9 from both sides to get x=19. No that we know x, we can find the values of the angles by putting in 19 for x. Bottom left angle is 19°, bottom right angle is 28°, top angle is 133°.
Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
A square wrestling mat has a perimeter of (12x-32) feet. Write an expression in simplest form that represents the side length in feet of the mat
Answer:
3x -8 feet
Step-by-step explanation:
The perimeter is found by adding all the side lengths, but since this is a square, all you have to do to find the perimeter is multiply one side length by 4. In this case, we already have the perimeter so we can just work backward. Instead of multiplying, we have to use the inverse operation since we are working backward which is division. (12x - 32) / 4 is 3x - 8. This is as far as we can simplify because these are two different units and therefore the answer is 3x-8 feet
Hope this helped
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Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
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While playing with magnetic building tiles, Natalie constructed a square pyramid out of
orange tiles and a larger square pyramid out of green tiles. The dimensions of the orange
pyramid are shown below.
5 cm
7 cm
The green pyramid's square base has sides that are 14 centimeters long, and its volume is 21
times the volume of the orange pyramid. What is the height of the green pyramid?
The height of the green pyramid constructed by Natalie while playing with magnetic building tiles is 26.25 cm.
Volume of the orange pyramid
The volume of the orange pyramid is calculated as follows;
V = ¹/₃Ah
where;
A is the base area of the pyramidh is the height of the pyramidV = ¹/₃ x (7²) x 5
V = ¹/₃ x (245 cm³)
Volume of the green pyramidVoume = 21 x [¹/₃ x (245 cm³)]
Volume = 1,715 cm³
Height of the green pyramidV = ¹/₃Ah
3V = Ah
h = 3V/A
h = (3 x 1715) / (14²)
h = 26.25 cm
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Multiply: 3,217 × 5,716
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
Answer all questions please
The value of f(1) is 3.
An estimate of the value of f(-1) is -0.2.
The values of x for which f(x) = 1 are: x = (0, 3).
The value of x such that f(x) = 0 is x = -0.5.
The domain of f is {-2, 4}.
The range of f is {-1, 3}.
The interval over which f is increasing is {-2, 1}.
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of the function shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {-2, 4}.
Range = {-1, 3}.
In conclusion, we can logically deduce that this function is increasing over the [-2, 1] and decreasing over the interval [1, 4].
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The sum of two consecutive integers is −51. Find the integers.
9514 1404 393
Answer:
-26, -25
Step-by-step explanation:
The average of the two is their sum divided by 2: -51/2 = -25.5. The average of consecutive integers is halfway between them.
Hence, one is -26 and one is -25.
why is 8.8 different to 8.08
Answer:
Because 8.8 is 8 and 8 tenths
Step-by-step explanation:
8.8 is eight and 8 tenths
8.08 is 8 and 8 hundreths
6) Mary scored 20 points during yesterday's basketball game. Today, she
scored 125% as many points. How many points did she score today? *
Answer:
25
Step-by-step explanation:
20*1.25=25
Which values of k are solutions to the inequality?
k>12
Select each correct answer.
k = 11.9
k = 12.1
k = 13.0
k = 19.9
k = 10.2
Answer:
B: k = 12.1
C: k = 13.0
D: k = 19.9 ARE THE CORRECT ANSWERS
Step-by-step explanation:
Answer:B: k = 12.1
Step-by-step explanation:
Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is located at 0, 2. The points are connected by a line segment. Group of answer choices 5 7 6 4 Flag question: Question 3
Answer: 5
Step-by-step explanation:
Use the Formula d = √((x2 - x1)2 + (y2 - y1)2)
Find the difference between coordinates:
(x2 - x1) = (-3 - 0) = -3
(y2 - y1) = (-2 - 2) = -4
Square the results and sum them up:
(-3)2 + (-4)2 = 9 + 16 = 25
Now Find the square root and that's your result:
Exact solution: √25 = 5
Approximate solution: 5
find the tax (7%) paid on $99 sneakers
Answer:
6.3
Step-by-step explanation:
99(.07)=6.3
original price was 92.7 + 6.3 gives you 99
Karen and Kevin collect coins, Karen has x coins, Kevin has 8 coins fewer than three times thenumber of coins Karen has. Write and simplify an expression for the total number of coins Karenand Kevin have.Karen and Kevin have coins,(Simplify your answer.)
karen has x coin
3 times karen has is 3x
8 less than 3x is = 3x - 8
the total number of coins karen and kevin have is
x + 3x - 8
= 4x - 8
Someone please help me?
Answer:
D is the answers for the question
Step-by-step explanation:
please mark me as brainlest and
Step-by-step explanation:
hope it's helpful for you
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Add the following fractions. See the image below
Answer:
\(\dfrac{19}{840}\)
Step-by-step explanation:
The given fraction is:
\(\dfrac{1}{168}+\dfrac{3}{180}\)
We need to solve it.
The LCM of 168 and 180 is 2520.
So,
\(\dfrac{1}{168}+\dfrac{3}{180}=\dfrac{15+3\cdot14}{2520}\\\\=\dfrac{19}{840}\)
So, the required answer is equal to \(\dfrac{19}{840}\).
if Penelope's car has an average fuel consumption of 3 miles per gallon and she uses 9.5 gallons how far did she drive
Answer:
approximately 3.16 repeated
Step-by-step explanation:
Given parameters:
Average fuel consumption of Penelope's car = 3miles per gallon
Amount of fuel used = 9.5 gallons
Unknown:
Distance of her drive = ?
Solution:
Since her rate of fuel consumption per miles is known, we can simply solve for the distance she covers.
Distance covered = Rate of fuel consumption per miles x amount of fuel used
Distance covered = 3 x 9.5 = 28.5miles
The distance covered by Penelope's car is 28.5miles
The image of p (6, 0) under the translation ( x-y) ( x -6,y-1
Answer:
can you give me a picture?
Step-by-step explanation:
At the beginning of the school year, Ms. Lopez asks her students to select 4 books to read
from a list of 20 books.
a. How many different groups of 4 books can be selected?
b. How many different ways can 4 books be selected if the books must be listed in order of
preference?
Answer:
Step-by-step explanation:
A] five as 20 divided by four is five
A =e+f/2 solve for e
The value of e can be calculated by e = A - f/2.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
For example, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
We have been given an expression as;
A =e+f/2
We need to find the solution for 'e'.
So,
A = e+f/2
Subtract from f/2 on each side, we get;
A - f/2 = e
Thus, e = A - f/2
Therefore, the value of e can be calculated by e = A - f/2.
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S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was
The maximum temperature during summer in that year was 34°C.
It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.
A temperature rise of that magnitude would be extremely unusual and potentially dangerous.
However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.
The minimum temperature in January was -10°C, and if we add 44°C to it, we get:
-10°C + 44°C = 34°C
Therefore, the maximum temperature during summer in that year was 34°C.
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Write the tangent equation to solve for angle f
Answer:
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)
Step-by-step explanation:
tan θ = Opposite/Adjacent
Opposite side is the side opposite angle θ
Adjacent side is the side next to the right angle and the angle θ
θ = Angle F
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)
derivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
y intercept of (-4,2) of (6,-3)
y - intercept of (-4,2) (6,-3) is (0,0)
Answer:
y = -4
Step-by-step explanation:
We are given two points (-4,2) and (6,-3). In order to find the y intercept, we we need to calculate the slope between the two points first. We can use this using \(\frac{y2-y1}{x2-x1}\), which is how we can calculate the slope of a line.
\(\frac{-3-2}{6-(-4)}\)
Evaluate
\(\frac{-5}{10} = -\frac{1}{2}\)
Now that we found the slope of the line, we now need to plug in all of our information into the point slope formula and get it in slope intercept form.
\(y-2=-\frac{1}{2}(x+4)\)
Distribute the negative half
\(y-2=-\frac{1}{2}x-2\)
Add 2 to both sides
\(y=-\frac{1}{2}x-4\)
The y intercept is -4.
Pls help with the math!! It would mean a lot if you could print it out and do it! Tyyyyyy WILL MARK BRAINLIST!
Answer:
Step-by-step explanation:
Answer:
mark the answer below as brainliest x
Step-by-step explanation:
Word problems really confuse me. Can this question be explained to me?
Answer: use y=mx+b
Step-by-step explanation: Every straight line can be represented by an equation: y = mx + b. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Source: math.com
A card is drawn randomly from a standard 52-card deck. Find the following: Write all answers as simplified fractions (not mixed numbers). Probability the card drawn is a face card _____
Probability the card drawn is not a face card. ____
Odds in favor of drawing a face card ______
Odds against drawing a face card _____
The probability the card drawn is a face card is 3/13. The probability the card drawn is not a face card is 10/13. The odds in favor of drawing a face card is 3/10. The odds against drawing a face card are 10/3.
There are 52 cards in a standard deck, and 12 of them are face cards (jack, queen, and king). Therefore, the probability of drawing a face card is 12/52, or 3/13.
The probability of not drawing a face card is 1 minus the probability of drawing a face card. Since the probability of drawing a face card is 3/13, the probability of not drawing a face card is 1 - 3/13, which is 10/13.
The odds in favor of drawing a face card are 3:10, or 3/10. The odds against drawing a face card are 10:3, or 10/3.
In summary:
The probability the card drawn is a face card: 3/13
The probability the card drawn is not a face card: 10/13
Odds in favor of drawing a face card: 3/10
Odds against drawing a face card: 10/3
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