TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answers
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
Related Questions
PLEASE HELP!!! SUPER IMPORTANT TEST!! options shown are the same for each equation
Answers
Answer:
simply
addition property of equality
simplify
multiplication property of equality
Can anybody help this question?
Answers
Answer:
the first option
Step-by-step explanation:
really, just look at the table.
is the mean value (10.4) larger than the median (13.4) ?
I hope you can see right away that it is not.
and you can see they are not the same either.
so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.
so, it is between the first two options.
now think ! how do we draw number lines ? a coordinate axis ?
the smaller numbers left, the larger numbers right. the numbers grow from left to right.
the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.
At the beginning of the year, Ian had $30 in savings and saved an additional $15 each week thereafter. Brayden started the year with $70 and saved $5 every week. Let II represent the amount of money Ian has saved tt weeks after the beginning of the year and let BB represent the amount of money Brayden has saved tt weeks after the beginning of the year. Graph each function and determine the amount of money Ian and Brayden have saved in the week that they have the same amount of money saved.
Answers
A linear equation can be written as:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Defining x as the number of weeks since the start of the year, we can write the linear equations I and B as:
[tex]B(x) =\$70 + \$5*x[/tex]
(initial amount plus the amount that he saves each week times the number of weeks)
Similarly, for Ian we have:
[tex]I(x) = \$30 + \$15*x[/tex]
The graph of these lines can be seen below, where the blue one is I(x) and the green one is B(x).
Now we want to determine how much they had when they had the same amount.
This means that we need to solve:
B(x) = I(x)
Replacing the equations we get:
[tex]\$70 + \$5*x = \$30 + \$15*x[/tex]
Now we can solve this for x:
[tex]\$70 - \$30 = \$15*x - \$5*x[/tex]
[tex]\$40 = \$10*x[/tex]
[tex]\$40/\$10 = x[/tex]
[tex]4 = x[/tex]
So they have the same amount of money in week 4, and each one of them has:
[tex]B(4) = I(4) = \$70 + \$5*4 = \$70 + \$20 = \$90[/tex]
If you want to learn more about this, you can read:
https://brainly.com/question/13075913
NEED HELP ASAP!
Slove for x.
A.4
B.10
C.8
D.7
Answers
i think it 10 because the angle your looking at is x is 7
please help, i really dont understand this. will give brainliest.
There are 6 dogs and 5 cats.
Answers
Answer:
13) 11C5 or 11C6 = 462
14) it appears to be only 1
DCDCDCDCDCD
15) 9 choose 6 or 9 choose 3 = 84
Step-by-step explanation:
I’m sure this is easy but I hateeee geometry. help ASAP plsssss
Answers
Given points
(-4,3)(2,5)Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 6.2[/tex]
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Answers
Answer:
380 miles
Step-by-step explanation:
Let the time he travelled on the second day = t
Then the first day's time is t + 2
The first day's distance is d+20
The second day's distance is d
The second day's distance is also 60*t or d = 60*t
First day: 40*(t+2) = d + 20
Put the second day's distance into the first day's equation
40(t+ 2) = 60t + 20 Now solve for t. Remove the brackets
40*t + 80 = 60t + 20 Subtract 20 from both sides
40t + 80 - 20 = 60t Combine
40t + 60 = 60t Subtract 40t from both sides
60 = 60t - 40t
60 = 20t Divide by 20
t = 60 / 20
t = 3
Day 2s distance = 60*3 = 180
Day 1s distance = 40*5 =200
Total 380
You may ask where the 20 went. It is a fact relating the distance of day 1 with day 2. No one actually travelled the 20 miles. It is just that there is a difference of 20 miles in the two distances.
an agent receives a commission of d% of the selling price of a house. if the commission amounted to 600, the selling price, in dollars was
Need help brainlist and will mark brainlist
Answers
Answer:
Selling price is $60000/d
Step-by-step explanation:
Let the selling price be say $x. Now the commission is d% of x, that is (d/100)*x=600. x=60000/d
Commission of d% amounts to 600 the selling price in dollers will be
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
What are Selling price, Cost price, Profit &Loss ?The price of an item which i have sold to someone is my selling price and for the person it is his/her cost price.
When my selling price is more than my cost price I make profit.
When my selling price is less than my cost price i make loss.
In the given question d% of commision amounts to 600$. Let us assume d% = 10 % for easy understanding.
[tex]\frac{percentage}{100}[/tex] * selling price = 600
[tex]\frac{d}{100}[/tex] * selling price = 600
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
or, 60000/10 = 6000 $
Learn more about Profit and Loss here :
https://brainly.com/question/13934673
#SPJ2
4(v+4)–7=17 please help me
Answers
Answer:
v = 2Step-by-step explanation:
4(v+4)–7=17
=> 4(v + 4) = 17 + 7
=> 4v + 16 = 24
=> 4v = 24 - 16
=> 4v = 8
[tex] = > v = \frac{8}{4} [/tex]
=> v = 2 (Ans)
Answer:
v=2
Step-by-step explanation:
4(v+4)–7=17
Distribute
4v+16 -7 = 17
Combine like terms
4v +9 =17
Subtract 9 from each side
4v+9-9=17-9
4v = 8
Divide by 4
4v/4 = 8/4
v=2
Non right angled triangle
Answers
Answer:
18.06
Step-by-step explanation:
law of cos()
b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)
[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]
Simplify the following:
a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A
Answers
Answer:
19 sin + 20 cosec
explanation
9 sin A + 10 sinA + 33 -13 cosecA
19 sin + 20 cosec
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answers
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]
Can anyone please help?
Answers
Answer:
i don't know
( lol )
heheeeee
if the area of square is 2401 sqaure metre,find the perimeter of the sqaure
Answers
Answer
P=196
P=4A=4·2401=196
Answer:
196m
Step-by-step explanation:
[tex] \sqrt{2401} = 49[/tex]
[tex]49 + 49 + 49 + 49 = 196[/tex]
A roof repairer works out that he will need to work with a colleage charges $20 per hour. In the end, they took 6 hours to fix the roof.
a. Write an expression with parentheses to describe how much the homeowner ownes for labor.
b. Evaluate your expression to calculate the cost of the labor.
Answers
Answer:
a. 20h = m
b. $120
Step-by-step explanation:
We know what they charge per hour so if we didn't have the number of hours they worked we would write the equation as 20h = m (h = hours, and m = money made). Since we know the number of hours they worked, we can substitute h with 6 and find m.
20(6) = m
120 = m
Best of Luck!
I need help please and thank you!
Answers
Answer:
v is 198 m/s
Step-by-step explanation:
[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]
tanx-sinx÷tanx-sinx=1-cosx ÷sinx
Answers
Answer:
Given:
(sin5x−sinx)(cos4x−cos6x)
(cosx−cos3x)(sin8x+sin2x)
Use the formula:
sina+sinb=2sin(
2
a+b
)cos(
2
a−b
)
sina−sinb=2cos(
2
a+b
)sin(
2
a−b
)
cosa−cosb=−2sin(
2
a+b
)sin(
2
a−b
)
(sin5x−sinx)(cos4x−cos6x)
(cosx−cos3x)(sin8x+sin2x)
=
(2cos
2
6x
sin
2
4x
)(−2sin
2
10x
sin
2
−2x
)
(−2sin
2
4x
sin
2
−2x
)(2sin
2
10x
cos
2
6x
)
=
(2cos3xsin2x)(2sin5xsinx)
(2sin2xsinx)(2sin5xcos3x)
=1
For the function y = (4x - 3)(x + 7)
the 2 x-intercepts are?
Answers
Answer:
3/4 =x -7=x
Step-by-step explanation:
y = (4x - 3)(x + 7)
To find the x intercepts, set y=0
0 = (4x - 3)(x + 7)
Using the zero product property
0 = 4x-3 0=x+7
3 = 4x -7=x
3/4 =x -7=x
Answer:
x - intercepts are (3/4 , 0) & (-7 , 0)
Step-by-step explanation:
y = (4x - 3)(x + 7)
At x-intercept, y=0
(4x - 3)(x + 7) = 0
4x - 3 = 0 ; x + 7 = 0
4x = 3 ; x = -7
x = [tex]\dfrac{3}{4}[/tex] ; x = -7
If 42% of a number Nis 8.4, what is the value of N?
O 10
O 20
O 24
O 32
Answers
Answer:
20
Step-by-step explanation:
Of means multiply and is means equals
42% * N = 8.4
.42 N = 8.4
Divide each side by .42
N = 8.4/.42
N =20
Answer:
Step-by-step explanation:
Let the number be 'x'
42% of x = 8.4
[tex]\dfrac{42}{100}*x=8.4\\\\x=8.4*\dfrac{100}{42}\\\\x=\dfrac{840}{42}\\\\x= 20[/tex]
A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Assume that the pattern in the table continues. Which equation can be solved for t, the time in hours when the number of cells will reach 100,000?
A
8⋅t4=100,000
B
8⋅4t=100,000
C
4⋅t8=100,000
D
4⋅8t=100,000
Answers
Answer:
100000 = 8 (4) ^t
Step-by-step explanation:
We are multiplying by 4 each time
y = a (4)^t
The initial amount is 8
y = 8 (4)^t
We want to get to 100000
100000 = 8 (4) ^t
Answer:
B
8 ⋅ 4^t = 100,000
Step-by-step explanation:
The graph of y vx is translated 5 units to the left and 7
units up. What is the equation of the graph that results from
this translation?
Answers
y=-1.4x
Step-by-step explanation:
divide the change in y by the change in x to find the gradient,
7 divided by -5 [as the translation is to the left].
there might be a y intercept value, c as in
y=mx + c but with the given information without thee starting points it is hard to find
The required equation of the graph that results from the translation is y = √(x + 5) + 7.
What is translation on the coordinate plane?Translation on a coordinate plane is a transformation that moves an object or figure from its original position to a new position in a straight line. It is also called a "slide." In translation, all points of the object are moved by the same distance in the same direction.
Here,
To shift the graph of the function y = √x to the left by 5 units, we need to replace x with x + 5 in the equation. This will give us the graph of y = √(x + 5).
To shift the graph 7 units up, we need to add 7 to the entire function. This will give us the final equation of the translated graph:
y = √(x + 5) + 7.
Therefore, the equation of the graph that results from the translation is y = √(x + 5) + 7.
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ7
Find the positive difference between -8 and -14
Answers
Answer:
I'm pretty sure its 6
Step-by-step explanation:
14-8 is equal to 6 so I'm pretty sure it would be six.
(ii) Differentiate x2 + 3x -4.
Answers
Answer:
2x +3
Step-by-step explanation:
d/dx(x2 + 3x -4)
d/dx (x^2) + d/dx(3x)- d/dx(4)
2x +3 -0
2x +3
What does 5.46 x 12.9 equal?
Answers
Answer:70.434
Step-by-step explanation:
I need help I'm confused
Answers
I put the line/graph on the attached file, when you draw the line make sure it goes through some of the points that I plotted.
Find the measure of the missing angles.
b =
C=
Answers
Answer:
Angle C and Angle B 61 degree as Angle 119 is supplementary to angle B and C (180-119=61)
Part 2
5. -0.3 ÷ (-0.27)
6. -5.5 ÷ 0.021
7. -412 ÷ -334
8. 7.75 ÷ ( -123)
Answers
Answer:
5. -10/9
6. -5500/21
7. 1 39/167
8. -31/492
Find the following measure for this figure.
12
10
Answers
Answer:
13 units
Step-by-step explanation:
Using the right triangle formed by the 2 legs and the slant height s
The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s
Using Pythagoras' identity in the right triangle, then
s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )
s = [tex]\sqrt{169}[/tex] = 13
3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Enter
Answers
Answer:
240cm^3
Step-by-step explanation:
3cmx20cmx4cm=240cm^3
Which equation represents an exponential function with an initial value of 500?
f(x) = 100(5)x
f(x) = 100(x)5
f(x) = 500(2)x
f(x) = 500(x)2
Answers
Answer:
y = 500 * (2)^x is an exponential function
Step-by-step explanation:
An exponential function is of the form
y = a b^x where a is the initial value and b is the growth/decay factor
y = 500 * (2)^x is an exponential function
The correct equation that represents an exponential function with an initial value of 500 is:
f(x) = 500(2)x
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
We are given that the initial value of the exponential function is 500. The initial value refers to the value of the function when x is equal to zero. Therefore, the value of f(0) is 500.
Out of the four given options, only option (c) represents an exponential function with an initial value of 500, since f(0) is equal to 500 when x is equal to zero:
f(x) = 500(2)^x
Option (a) represents an exponential function with an initial value of 100 and a base of 5.
Option (b) represents a power function, not an exponential function.
Option (d) represents an exponential function with an initial value of 0 and a base of x^2, which can take any value including negative values, thus it doesn't satisfy the conditions of a valid exponential function.
Learn more about logarithmic functions here:
https://brainly.com/question/3181916
#SPJ7
