Answers
An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.
When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.
The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.
If you know two lengths you can find the third leg length by using the Pythagorean Theorem.
Related Questions
Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after driving x miles. The amount of gas in the van’s gas tank after driving x miles is represented by the equation y=- 1/5x + 31. Which vehicle uses less gasoline per mile? How many miles must the vehicles travel for the amount of gas in each tank to be the same?
Answers
Answer:
The car uses less gas
They use the same amount of gas after [tex]\frac{640}{7}[/tex] miles
Step-by-step explanation:
Given
The table represents the car mileage
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
First, calculate the car's slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)[/tex]
So, we have:
[tex]m = \frac{10.5 - 13.5}{180 - 60}[/tex]
[tex]m = \frac{-3}{120}[/tex]
[tex]m = -\frac{1}{40}[/tex]
Calculate the equation using:
[tex]y = -\frac{1}{40}(x - 60)+13.5[/tex]
[tex]y = -\frac{1}{40}x + 1.5+13.5[/tex]
[tex]y = -\frac{1}{40}x + 15[/tex]
[tex]m = -\frac{1}{40}[/tex] implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
By comparison to: [tex]y = mx + b[/tex]
[tex]m = -\frac{1}{5}[/tex]
This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:
[tex]1/40 < 1/5[/tex]
This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
[tex]y = -\frac{1}{40}x + 15[/tex] --- The car
Equate both
[tex]-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15[/tex]
Collect like terms
[tex]\frac{1}{40}x -\frac{1}{5}x =-31 + 15[/tex]
[tex]\frac{1}{40}x -\frac{1}{5}x =-16[/tex]
Take LCM
[tex]\frac{x - 8x}{40} = -16[/tex]
[tex]\frac{- 7x}{40} = -16[/tex]
Solve for -7x
[tex]-7x = -640[/tex]
Solve for x
[tex]x = \frac{640}{7}[/tex]
wich one is the answer
Answers
if given ordered pair are equal then find value of x and y
x= 2x_1
y= 3y+2
Answers
Answer:
x=1
y=-1
Step-by-step explanation:
Answer:
x = 1
y = -1
Step-by-step explanation:
[tex]x = 2x - 1 \\ 1 = 2x - x \\ 1 = x \\ x = 1 \\ [/tex]
[tex]y = 3y + 2 \\ - 2 = 3y - y \\ - 2 = 2y \\ \frac{ - 2}{2} = y \\ - 1 = y \\ y = - 1 \\ [/tex]
How many centimeters are there in 3.35 meters?
A. 115
B. 225
C. 335
D. 445
Answers
Answer:
335
Step-by-step explanation:
To convert meters to centimeters, move the decimal point two spaces to the right.
Answer:
335
Step-by-step explanation:
a centimeter is one hundredth of a meter so multiply 3.35x100
C) 6
I
3)
4)
12x + 12
13x + 5
A) -
C) -10
A) 6
C) 7
B) 8
D) 9
5)
6)
Answers
Answer:
x=7
Step-by-step explanation:
Alternate interior angles so they are congruent. So, 13x+5=12x+12. Subtract 12x and get x+5=12. Subtract 5 and you get x=7
Find the size of angle x.
Answers
Answer:
x = 111
Step-by-step explanation:
180- 82 -29 is 69 and 180-69 is x which x is equal to 111
Answer:
111°
Step-by-step explanation:
By exterior angle theorem:
[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]
Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Answers
Answer:
in this tiangle tanA = 8/15
can someone help me please???
Answers
9514 1404 393
Answer:
a) MBE; b) EBY; c) MBY; d) MBE; e) YME; f) XEW; g) EBM, EBY; h) EBY, EBM
Step-by-step explanation:
There are many choices here. We'll use choices that make as much use as possible of the same points and segments.
a) ∠MBE is an acute angle
b) ∠EBY is an obtuse angle
c) ∠MBY is a straight angle
d) ∠MBE is an angle with vertex B
e) ∠YME is an angle with side MY
f) ∠XEW is another name for ∠BER
g) ∠EBM and ∠EBY are adjacent angles
h) ∠EBY and ∠EBM are supplementary angles
__
Additional comments
An acute angle measures less than 90°; an obtuse angle measures more than 90°. A straight angle measures exactly 180°. A linear pair is a pair of adjacent angles that together measure 180°. That is, they are supplementary and combine to make a straight angle. (Supplementary angles only need to have a sum that is 180°. They do not need to be a linear pair. However, in a figure like this, where angle measures are not marked, angles are guaranteed to be supplementary only if they are a linear pair.)
A farm categorizes its chickens into 3 classes according to the weight: small, medium, andbig. For any chicken in this farm, the distribution of the weight (denoted byW) follows a GaussianPDF with mean 3.8 lb and standard deviation 0.6 lb. The categories follow the following rule
small: W <= 3.5lb
medium: 3.5 <= 4.9lb
Large: W > 4.9lb
Required:
a. What are the probabilities that a chicken is in the classes of small, medium, and large, respectively?
b. Find c such that PW < c = 0.6.
c. Suppose that 5 chickens are selected at random. What is the probability that 3 out of the 5 will be small?
Answers
Answer:
A) P ( chicken is small ) = 0.3085, P ( chicken is medium ) = 0.6621
P (chicken is large ) = 0.0294
B) C = 3.9233
C) 0.1404
Step-by-step explanation:
A) Probabilities
i) P ( chicken is small )
P( w ≤ 3.5 ) = Fw ( 3 .5 )
= F ( 3.5 - 3.8 / 0.6 )
= F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]
= 1 - 0.6915 ( from Table )
= 0.3085
ii) P ( chicken is medium )
P ( 3.5 < w < 4.9 )
P ( w < 4.9 ) - P ( w < 3.5 )
= Fw ( 4.9 ) - Fw ( 3.5 )
= F ( 4.9 - 3.8 / 0.6 ) - 0.3085
= 0.9706 - 0.3085 = 0.6621
iii) P (chicken is large )
= P ( w > 4.9 )
= 1 - P ( w < 4.9 )
= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294
B) Find c
Given: P( w < c ) = 0.6
Fw ( c ) = 0.6
F ( c - 3.8 / 0.6 ) = 0.6
c - 3.8 / 0.6 = 0.2055 ( from table )
∴C = 3.9233
C) P ( 3 out of 5 = small )
P ( 3 of 5 = small ) = 0.1404
attached below is a detailed solution
how do you write 6 x 6 x 6 x 6 x 6
Answers
Answer:
Exponent form
[tex] {6}^{5} [/tex]
Answer:
6^5
Step-by-step explanation:
6 x 6 x 6 x 6 x 6
There are 5 6's multiplied together
The base is 6 and the power is 5
6^5
If f(x) = 5x - 3 and g(x) = 3x - 3, find f(x) - g(x).
A 2x
B. 8x - 6W
C2x-6
D. 8x
Answers
Replace f(x) to 5x-3 and g(x) to 3x-3 then subtract f(x) by g(x).
[tex] \large{f(x) - g(x) = (5x - 3) - (3x - 3)}[/tex]
Cancel the brackets, remember that multiplying or expanding the negative symbol will switch the sign. From plus to minus and minus to plus.
[tex] \large{ f(x) - g(x)= 5x - 3 - 3x + 3 }[/tex]
Combine like terms.
[tex] \large{f(x) - g(x) = 2x + 0 \longrightarrow \boxed{2x}}[/tex]
Answer
f(x)-g(x) = 2xAnswer:
5x-3-(3x-3)
5x-3-3x+3
5x-3x
2x
Anyone know??? PLEASE HELP ME
Answers
Answer:
C
Step-by-step explanation:
Try it.
Answer:Its B or C
Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.
Please help, please no links or websites
Answers
Answer:
12
Step-by-step explanation:
Just substitute 3 for n and solve.
Solve the expression [tex]2+(3-1)5\\[/tex]
Use PEMDAS and solve.
(3-1) = 2 so it becomes 2 + (2)5
Then multiply 2 and 5 to get 10.
Then add 2 so you get 12.
[tex]a_{3}[/tex]=12
ang
Name two vertical angles, two supplementary
angles in the diagram below.
Answers
Answer:
5 and 3 is vertical. 4 and 6 are vertical. 2 and 1 are supplementary angles.
Find the diameter of each
circle below. If there is not
enough information, write
"cannot tell."
Find the radius of each
circle below. If there is not
enough information, write
"cannot tell."
Answers
6. 6cm
7. Cannot tell
8. 50mm
9. Cannot tell
10. 1.5cm
Draw and label the solution to each
Answers
A- 63.45
B- 66.25
C- 30.21
D- 85
E- 143.75
F- 81.59
One number is 8 greater than another. The product of the numbers is 84. Find the numbers.
Answers
Let x,y be the two numbers.
Given that one number is 8 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+8. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x × y = 84, let us plugin y=x+8 here.
x × (x+8) = 84
x²+ 8x -84 = 0.
x²+12x-4x-84 = 0
x(x+12)-4(x+12) =0
(x-4)(x+12)=0
That is x= 4 or -12.
If x=4 , y= 4+ 8 = 12If x= -12, y= -12+8 = -4Hence two positive numbers corresponding to given conditions are 4,12.
And two negative numbers corresponding to given conditions are -12,-4.
Step-by-step explanation:
hope it may help you!!
please mark as brainlist please (´;︵;`)
I’ll mark brainliest
Answers
Answer:
The answer is option A.
:)))))))
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answers
Answer:
18
Step-by-step explanation:
make 11 1/4 into improper fraction > 45/4
multiply by 2 so it has same denominator > 90/8
90/8 divided by 5/8 = 18
Answer:
18 binder clips
Step-by-step explanation:
The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.
To get the answer, you simply divide 5/8 by 11 1/4.
To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.
Now you can divide.
[tex]\frac{45}{4} / \frac{5}{8}[/tex]
To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.
You would get this:
[tex]\frac{45}{4} *\frac{8}{5}[/tex]
There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.
I hope it helps!
This table on a package of dog food tells how much to feed a dog, depending on its weight. Weight of Dog (pounds)153045 Amount of Food (scoops)246 The amount of food in scoops (s) is related to the weight of the dog in pounds (p) by the equation s = kp. What is k?
Answers
9514 1404 393
Answer:
k = 2/15
Step-by-step explanation:
We can solve the given equation for k:
k = s/p . . . . . . divide the given equation by p on both sides
Using the first values from the table (15 pounds, 2 scoops), we have ...
k = 2/15
The value of k is 2/15.
A department store manager noted that the sales of furniture contributed 20% of the store's profits in the year 2015 and 29% in the year 2016.
Of the following choices, which two statements about furniture sales are true?
a.) There was a 45% increase in furniture sales.
b.) Furniture sales rose by 45 percentage points.
c.) There was a 31% increase in furniture sales.
d.) There was a 9% increase in furniture sales.
e.) Furniture sales rose by 31 percentage points.
f.) Furniture sales rose by 9 percentage points.
Answers
Answer:
There was a 45% increase in furniture sales.
Furniture sales rose by 9 percentage points.
Step-by-step explanation:
absolute difference = new - old
29-20= 9 percentage points
absolute difference / initial value = 9/20 = .45 * 100 = 45%
Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
What is percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Percentage [tex]=\frac{Obtained\ number}{Total\ number}\ * 100[/tex]
We have,
Sales of furniture in [tex]2015=20\%[/tex]
Sales of furniture in [tex]2016=29\%[/tex],
So,
Change in Percentage [tex]=29-20=9\%[/tex]
i.e.
Sales rise by [tex]9\%[/tex] points,
And,
Increase in Percentage [tex]=\frac{9}{20}\ *100=45\%[/tex]
Hence, we can say that Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
To know more about Percentage click here
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What are the domain and range of this function?
Answers
Answer:
D x is all real numbers
R y ≥ -3
Step-by-step explanation:
The domain is the values that x can take
The domain is all real numbers
The range is the values that y can take
The range is y is greater than or equal to -3
WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.
Answers
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Learn more about exponential equations here: brainly.com/question/2883200
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Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Circle the answer choice below that does not equal the following:
- 48/16
1) 48/-16
2) -3
3) 3
4) -(48/16)
Answers
Answer:
3
Step-by-step explanation:
-48/16 = 48/16
-48/16 = -3/1 = -3
Please show ur work too!
(Image is the whole problem)
Answers
Answer:
ST = 15
Step-by-step explanation:
Given:
QR = 3x
LM = x + 9
ST = 6x - 3
Required:
ST
Solution:
First, we need to find the value of x by creating an equation.
Based on the trapezoid mid-segment theorem, we have the following equation:
LM = ½(QR + ST)
Substitute
x + 9 = ½(3x + 6x - 3)
x + 9 = ½(9x - 3)
Multiply both sides by 2
2(x + 9) = 9x - 3
2x + 18 = 9x - 3
Collect like terms
2x - 9x = -18 - 3
-7x = -21
Divide both sides by -7
x = -21/-7
x = 3
Find ST:
ST = 6x - 3
Plug in the value of x
ST = 6(3) - 3 = 18 - 3
ST = 15
an arrow is shot vertically upward from a platform 33ft high at a rate of 174 ft/sec. when will the arrow hit the ground?
Answers
Answer:
h(t) = -16t2 + 186t + 43
at the ground h = 0
hence; -16t2 + 186t + 43 = 0
solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a
gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)
Step-by-step explanation:
Could I get the awnser and explanation of this? Thank you!
Answers
Answer:
equation: y = 4x-12
slope: 4
y-intercept: -12
Step-by-step explanation:
3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis
Find the area
76 sq meters
60 sq meters
30.5 sq meters
65 sq meters
Answers
Answer:
60 square meters
Step-by-step explanation:
Find the volume of the prism
Answers
Answer:
D
Step-by-step explanation:
you just add it all up 10+6+8
Answer:
volume of the prism=8×6×10
=480 in²
Define the word term
Answers
Answer:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
hope this helps
have a good day :)
Step-by-step explanation: