Answer:B) 22.32 feet
[tex] \quad\rule{300pt}{1pt}[/tex]
Solution:
we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:
[tex] \qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull[/tex]
Here,
hypotenuse = 23 feet[tex]\theta [/tex] = 76°Value of Sin[tex]\theta [/tex] = 0.97Perpendicular = ?[tex] \quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}[/tex]
[tex] \quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}[/tex]
[tex] \quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}[/tex]
[tex] \quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }[/tex]
[tex] \quad\dashrightarrow\quad \sf { P = 22.32}[/tex]
ㅤㅤㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !
[tex] \rule{300pt}{2pt}[/tex]
Please help me fill the graph!!!
Which equation is linear
Answer:
Step-by-step explanation:
How to identify a linear line:
has form: y = mx + c.A linear equation graphed looks like a straight line Has constant slope value.the degree of a linear function is oneBased on our previous information:
The answer is the first choice since the equation holds the form y = mx + c and has a degree of one and has a constant slope value.
Hope that helps!
What is the value of x?
Enter your answer in the box.
Answer:
x = 68 feet is your answer
What is the derivative of Cos(x) when x is measured in degrees?.
Answer:
- sinx
Step-by-step explanation:
This is a standard derivative and applies to angles in degrees or radians.
[tex]\frac{d}{dx}[/tex] (cosx ) = - sinx
Answer:
[tex]\huge\purple{- \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]
Step-by-step explanation:
[tex]x \degree = \frac{\pi x}{180} \\ \\ \implies \: \cos \: (x \degree) = \cos \:\bigg( \frac{\pi x}{180}\bigg) \\ \\ \implies \: \frac{d}{dx} \cos \: (x \degree) = \frac{d}{dx} \: \cos \: \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg)\frac{d}{dx} \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg) \bigg(\frac{\pi}{180}\bigg) \\ \\ \huge \red{= - \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]
Need help with this please
Answer:n
geadeeeeeeeeeee
Step-by-step explanation:
How many dots are there at 100 minutes?
Answer:
I need more information.
Step-by-step explanation:
Answer:
401
Step-by-step explanation:
i know the answer cuz i did this before.
The pattern is that for every minute four dots are added diagnally. To find how many doths there are at 100 minutes we will multiply 4 x 100 and then add one for the dot e started at. 4 x 100 = 400 + 1 = 401
At 100 minutes there will be 401 dots.
Which statement best describes the association between variable X and variable Y?
perfect negative association
no association
moderate positive association
strong negative association
you would need to cross over
what is 1875 ÷ 125 (show ur work do long divison)
answer is 15 explained in image .
a1 = -2 r=-2 Sn=22 Determine the number of terms of n in the series
A series can be an arithmetic series or geometric series
The series is undefined
How to determine the number of terms?The given parameters about the geometric series are:
a1 = -2 --- the first term
r=-2 --- the common ratio
Sn=22 --- the sum of n terms
The sum of n terms of a geometric series is represented as:
[tex]S_n = \frac{a(r^n - 1)}{(r-1)}[/tex]
Substitute known values
[tex]22 = \frac{-2((-2)^n -1)}{(-2-1)}[/tex]
This gives
[tex]22 = \frac{-2((-2)^n -1)}{(-3)}[/tex]
Divide both sides by -2
[tex]-11 = \frac{((-2)^n -1)}{(-3)}[/tex]
Multiply both sides by -3
[tex]33 = (-2)^n -1[/tex]
Add 1 to both sides
[tex](-2)^n = 34[/tex]
Take the natural logarithm of both sides
[tex]n\ln(-2) = \ln(34)[/tex]
Solve for n
[tex]n= \frac{\ln(34)}{\ln(-2) }[/tex]
The above number is a complex number.
Hence, the series is undefined
Read more about geometric series at:
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solve the equation for theta (0°≤theta<360°)
2 sin theta = 1
Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
Find the perimeter of this semi-circle with radius, r = 12cm. Give your answer as an expression in terms of π .
Answer:
[tex]12π[/tex]
Step-by-step explanation:
Perimeter of the semi-circle:
[tex] \frac{2 \times 12 \timesπ }{2} = 12π[/tex]
PLS HURRY!
What is the lowest value of the range of the function
shown on the graph?
5
4
- od
3
0-2
2-
Ο Ο
1
O 3
-5 -4 -3 -2 -11
1 2 3 4
5
х
-2
-3
-4
+ >
Answer: -2
Step-by-step explanation:
Thanks for the help!!
9) pi/3 = 180 /3 = 60⁰
the other angle = 90-60=30⁰
10) 2pi/9 = 360/9 = 40⁰
the other angle = 90+40=130⁰
11) arc length = 2pi * r * (θ/360)
= 2pi * 16 * (270/360)
= 75.4 km
12)arc length = 2pi * r * (θ/360)
3 * 180/4 = 135⁰
135/360 =0.375
2pi * 6 * 0.375 =14.13 in
13) arc length = 2pi * r * (θ/360)
= 9 *2pi *(255/360) =40.05 mi
14)arc length = 2pi * r * (θ/360)
=23.56 mi
You want to know the mean number of hours music students at your school practice each week. At each of three music classes you randomly survey 10 students. Your results are shown. Use all three samples to make one estimate for the mean number of hours music students practice each week. Round to the nearest hundredth if necessary. Hours Practiced Each Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6 B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9 C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1 The mean of all the sample data is hours.
The mean of a dataset is the average of the dataset
The mean of all the sample data is 4.67 hours
How to determine the meanThe datasets are given as:
Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6
Week B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9
Week C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1
The mean of a dataset is:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
Week A
[tex]\bar x_A = \frac{6+ 5+ 5+ 6+ 4+ 6+ 8+ 5+ 2+ 6 }{10}[/tex]
[tex]\bar x_A =5.3[/tex]
Week B
[tex]\bar x_B = \frac{0+ 6+ 6+ 5+ 4+ 5+ 6+ 3+ 4+ 9}{10}[/tex]
[tex]\bar x_B = 4.8[/tex]
Week C:
[tex]\bar x_C = \frac{4+ 5+ 6+ 4+ 3+ 2+ 2+ 3+ 12+ 1}{10}[/tex]
[tex]\bar x_C = 4.2[/tex]
Calculate the mean for the three weeks
[tex]\bar x = \frac{5.3 + 4.8 + 4.2}{3}[/tex]
[tex]\bar x = 4.76[/tex]
Hence, the mean of all the sample data is 4.67 hours
Read more about mean at:
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can you guys please help me on my homework? It would mean a lot to me :)
Answer:
For the top half add all of the numbers of a given set together, then divide by how many numbers there are.
1.) 9
2.) 7
3.) 4
4.) 3
5.) 47.5
6.) 67 1/3
For the bottom half questions, literally the same thing.
7.) 9
8.) 34
9.) 66
10.) -28
11.) -21
12.) 3
Step-by-step explanation:
your welcome for doing you 2 minute homework
Monomials. Pls hurry. I have a test.
(3p^7)^4
Answer:
81p^28
Step-by-step explanation:
3^4=81
7 times 4 =28
Multiply: –c2(3c – 2) Apply the distributive property. Multiply. –c2(3c) (–c2)(–2) c3 c2.
The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].
What is distributive property?The distributive property is to make something easier to do or understand and to make something less complicated.
The expression is [tex]\rm -c^2 (3c - 2)[/tex].
On multiply, we have
[tex]\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2[/tex]
The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].
More about the distributive property link is given below.
https://brainly.com/question/13130806
Answer:
The distributive property is applied to multiply the expression . Then the result is .
What is distributive property?
The distributive property is to make something easier to do or understand and to make something less complicated.
The expression is .
On multiply, we have
The distributive property is applied to multiply the expression . Then the result is .
More about the distributive property link is given below.
brainly.com/question/13130806
Step-by-step explanation:
25 POINTS. If 16 ounces of chlorine are needed in a 12,500-gallon pool, how many ounces of chlorine are needed in a 5,000-gallon pool?
7.6 ounces
3.2 ounces
6.4 ounces
5.9 ounces
Answer:
6.4 ounces
Step-by-step explanation:
PLEASE HELP!!
The length of a square is 4x-3, find the area in terms of x
Answer:
16[tex]x^{2}[/tex]−24x+9
Step-by-step explanation:
A=s^2
s=4x-3
A=(4x-3)^2
(a-b)^2=a^2-2ab+b^2
A=16x^2-2(12x)+9
A=16x^2-24x+9
How can you use a sequence of transformations to map a preimage to its image?
Answer:
You can use a sequence of two or more transformations to map a preimage to its image. You can map AABC onto AA"B"C" by a translation 3 units right followed by a 90° clockwise rotation about the origin.
A sequence of transformations to map a preimage to its image is reflection.
It is required to find the transformations to map a preimage to its image.
What are transformations?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
Transformation maps the pre-image, DEFG, to the image, D'E'F'G'. The transformation is a reflection.
The line of reflection must go through the center point. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.
Therefore, a sequence of transformations to map a preimage to its image is reflection.
Learn more about transformations here:
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If the simple interest on $5000 for years is $2400, then what is the interest rate?
Which choice is a linear function?
Explain
Please Help
Answer:
Option C
Step-by-step explanation:
Given the following question:
Using the process of elimination, we can find the answer:
It's not option A, because in order for a table to be a linear function the change of x, and the change of y have to be constant. In this case our change in y goes through -2, to -1. Which means option A is not a linear function.
It's not option A because again in order for a table to be a linear function the change of x and the change of y have to be constant. In this case our change of x is constant but our change in y isn't.
It's not option D because in order to have a linear function, you have to be able to rewrite the function into slope intercept (y = mx + b) in this case we only have one real number which is 12, while having our x, and y variable. Which means option D isn't a function.
Which leaves option C or "4x + 3y = 12" which is your answer, because it can be rewritten in slope intercept form.
Hope this helps.
Jimmie selects a marble from a bag, notes the color, and returns the marble to the bag. After 40 trials, he selects 12 orange marbles, 18 green marbles, and 10 blue marbles. Which of the following experimental probabilities are correct based on the results?
Answer:
C) P(not orange) = 7/10; P(not green) = 11/20; P(not blue) = 3/4
Step-by-step explanation:
The sum of the probabilities of all outcomes must equal 1.
Total trials = 40
If he selects 12 orange marbles out of 40 trials, then
P(orange) = 12/40 = 3/10
⇒ P(not orange) = 1 - 3/10 = 7/10
If he selects 18 green marbles out of 40 trials, then
P(green) = 18/40 = 9/20
⇒ P(not green) = 1 - 9/20 = 11/20
If he selects 10 blue marbles out of 40 trials, then
P(blue) = 10/40 = 1/4
⇒ P(not blue) = 1 - 1/4 = 3/4
I am taking a test tomorrow in math and it's on probability, I am having trouble with want that is can someone help and try and explain it to me better then my math teacher?? an example problem, If I have I have 8 M&Ms 2 red, 3 blue and 3 green, and it the change of getting a red M&M? I think it would be 2/8 but I know I probably wrong
Answer:
1/4
Step-by-step explanation:
probability is the number of possible solutions over the number of outcomes, so in this example, you would take the 2 possibilities of getting a red M&M, and pot it over all the possible M&Ms you could get, so it is 2/8, which simplifies to 1/4, so you are correct
What is the equation of the line that passes through the point (5, -6) and has a
slope of -3/5?
Find the perimeter of the figure.
Answer: The perimeter is 122 m.
Step-by-step explanation: The perimeter equation of a pentagon is P = s + s + s + s + s
You can therefore add all the sides of the pentagon and this will be your perimeter.
2. in the figure, x is an exterior angle to the triangle below. (
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __
Step 2: __
Step 3: __
(b) what is the measurement of
Answer:
< x = 120°
Step-by-step explanation
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120
If italic sin open parentheses 2 x close parentheses equal italic cos open parentheses x plus 30 degree close parentheses comma what is the value of x?.
Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.
What are complementary angles?Complementary angles are two angles whose measures add to 90º.
If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:
[tex]\sin{a} = \cos{b}[/tex]
In this problem, the equation is:
[tex]\sin{(2x)} = \cos{(x + 30)}[/tex]
Hence, they are complementary, which means that:
[tex]2x + x + 30 = 90[/tex]
[tex]3x = 60[/tex]
[tex]x = \frac{60}{3}[/tex]
[tex]x = 20[/tex]
The solution to the trigonometric equation is of x = 20.
More can be learned about complementary angles at https://brainly.com/question/11161460
melissa is making punch for her party. The recipe calls for 2/5 cups of orange juice for every 1/4 cup of cranberry juice. If melissa uses 1 1/5 cups of orange juice, How many cups of cranberry juice should she use
Answer:
3/4 cups of cranberry juice
if u dont know the answer then dont say nothing if u do pls help
answer:
x = 0.875
explanation:
4 ( 5 - 7x ) = 6 - 12x20 - 28x = 6 - 12x20 - 6 = -12x + 28x14 = 16xx = 14/16x = 7/8x = 0.875