Answer:
[tex]22.91^\circ, 202.91^\circ[/tex]
Step-by-step explanation:
Given that:
[tex]tan\theta=0.4226[/tex]
To find:
The two values of [tex]\theta = ?[/tex]
Solution:
By given equation:
[tex]\theta = tan^{-1}(0.4226)[/tex]
[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]
Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.
and following is also true:
[tex]tan\theta = tan(180^\circ+\theta)[/tex]
Therefore, another value possible for [tex]\theta[/tex] can be:
[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]
Therefore, the answer is:
[tex]22.91^\circ, 202.91^\circ[/tex]
The height of a building is 72 m. Find the angle of elevation from a point on ground level that is 55 m away from the base of the building
Answer:
52.6 degrees
Step-by-step explanation:
tan^-1(72/55)
Angle of elevation is equals to 52°7'(approximately).
What is angle of elevation?
" Angle of elevation is the angle between the horizontal plane and line of sight from the point of observation."
Formula used
In a right angled triangle,
tanθ = ( opposite side) / adjacent side)
According to the question,
As shown in diagram
Height of the building (AB) = 72m
Distance between base of the building and point of observation
(BC)= 55m
Angle of elevation = θ
Substitute the value in the formula we have,
tanθ = AB / BC
= 72 / 55
⇒ θ = tan⁻¹ (72 /55)
= tan ⁻¹(1.3091)
= 52° 7' (approximately)
Hence, angle of elevation is equals to 52°7'(approximately).
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Tran earns $16 per hour and is paid a flat fee of $46 each week. At
the end of the week her total salary can be represented by the
equation y=16x + 46, where x is the number of hours, and y is the
total weekly salary. Write this relationship in functional notation, as a
function S(h), where S(h) represents the salary for h number of hours.
Answer:
[tex]S(h)=16h+46[/tex]
Step-by-step explanation:
We just need to substitute the variables here! You already have the equations so instead of [tex]x[/tex] for hours, we use [tex]h.[/tex] And since it's a function the result is not [tex]y[/tex] but rather [tex]S(h)[/tex].
So we get the answer of: [tex]S(h)=16h+46[/tex]
Find the intercepts of the graph given the following equation 4x – 3y = 12
Answer:
y-intercept: -4 or (0, -4)
x-intercept: 3 or (3, 0)
Step-by-step explanation:
4x - 3y = 12
we can convert this to slope-intercept form (y = mx+b) given that m is the slope and b is the y-intercept
4x - 3y = 12
-3y = -4x + 12
y = 4/3x - 4
So the intercept is -4 or (0, -4).
For the x-intercept, we can make the y value 0 to solve for x.
4x - 3y = 12
4x - 3(0) = 12
4x = 12
x = 3
So the x-intercept is 3 or (3, 0).
Determine the next 4 terms in the sequence.
8, 11, 14, 17, ...
Answer:
20, 23, 26, 29
Step-by-step explanation:
9.3x 10^7 in standard notation
Answer: 93,000,000
Plz mark brainliest:)
Gabriela can swim 100 meters in 20 minutes. What is Gabriela's unit rate?
Hi, i really need help!
Look at the images below:
(there is 2 images per question)
Answer: the last one
Step-by-step explanation:
When an angle is rotated, its angle measure is equivalent to the angle measure of the original angle.
Uva vez. Cuando esto sucede y se tiene un número intermina
ble o infinite de cifras en la parte decimal del numero, a este se le conoce como numero
decimal periódico; es decir, son números decimales que corresponden a las tracciones
que no son equivalentes a una fracción decimal
preguntas y desous
Lata de explicarle to
que entendiste.
s para obte-
Ejemplo: El número decimal 01, donde la Unea sobre la cifra indica que el número se
repite En la conversion
Residuo
-010-010 5 - 01m, et simbolo – significa "apro-
ximadamente iguala", pues 01,010 on son aproximaciones de
3
e residuo?
4. Escriban las fracciones como número decimal y determinen si se trata de un núme-
ro decimal finito o periódico.
.
.
= 0.2
.
12 = 1.75
sel divi-
0.0>
13
2 름
a) ¿Las fracciones cuya expresión en número decimal es periódica tienen una
fracción decimal equivalente? Justifiquen su respuesta. S.
durerador
b) Expliquen cuándo una fracción se puede representar como número decimal fini-
to y cuándo como número decimal infinito periódico y viceversa.
lenominadores
bo?
SANTANA
Expresas fracciones no decimales mediante aproximaciones con numeros
decimales finitos y mediante números decimales periodicos.
Answer:
can you translate please and i well answer your question!
Step-by-step explanation:
What is the slope of the line 4x – 2y = 5?
O-4
O-2
0 2
0 4
Answer:
Slope is 4.
Step-by-step explanation:
To find the slope, you can use ¨y=mx+b¨ where m= slope, and b= y intercept.
Hope this helped!
Answer:
m=2
Step-by-step explanation:
4x−2y=5
Rewrite in slope-intercept form.
y=2x-5/2
Using the slope-intercept form, the slope is 2.
m=2
Hope this helps! :)
5)40 is 77% of what number.
6) in Minnesota sales tax is 6.875%.what is the total (including tax) on items that total $178.46?
Answer:
5. 34% 6. $190.73
Step-by-step explanation:
trust man just trust
Answer:
5) 52
6) $190.73
Step-by-step explanation:
5)
Let the unknown number be x.
40 is 77% of x
40 = 0.77x
Divide both sides by 0.77
x = 52
Answer: the number is 52.
6)
We first calculate the amount of tax which is 6.875% of $178.46.
6.875% of $178.46 =
= 0.06875 * $178.46
= $12.27
The amount of tax is $12.27.
Now we add the amount of tax to the price before tax.
$178.46 + $12.27 = $190.73
Help how do I find the missing sides in this special triangle
-5 ( x + 7) = -5x + 35
Step-by-step explanation:
Let's solve your equation step-by-step.
−5(x+7)=−5x+35
Step 1: Simplify both sides of the equation.
−5(x+7)=−5x+35
(−5)(x)+(−5)(7)=−5x+35(Distribute)
−5x+−35=−5x+35
−5x−35=−5x+35
Step 2: Add 5x to both sides.
−5x−35+5x=−5x+35+5x
−35=35
Step 3: Add 35 to both sides.
−35+35=35+35
0=70
Answer:
There are no solutions.
Answer:
x= no solution
Step-by-step explanation:
-5(x+7)=-5x+35
-5x-35=-5x+35
+5x +5x
-35= 35
+35 +35
0=70
x=no solution
When x doesn't equal anything, and 0 doesn't equal 0, there is no solution to make the equation true. When 0=0, x can equal any value.
Identify the slope and y-intercept of this graph.
•
slope = 2, y-intercept = 1
slope = 2, y-intercept = 1
slope = 2, y-intercept = -1
slope = -2, y-intercept = -1
Identify the slope and y-intercept of this graph.
Answer:
Step-by-step explanation:
Looking at the first graph, we see that if x increases from 0 to 1, y decreases from 2 to 0:
m = rise / run = -2/1 = -2
Arbitrarily choose the reference point (1, 0).
Then y = mx + b becomes 0 = -2(1) + b, where b is the y-intercept.
Then b = 2, and the desired equation is
y = -2x + 2
Answer:
15. slope=-2
y-intercept=2
16. slope=2
y-intercept=1
Step-by-step explanation:
ya kinda dub scalliwag, all you need to do is find the growth factor and starting point
A
B
C С
1. How many blue rhombus blocks does it take to build a scaled copy of Figure A:
a. Where each side is twice as long?
b. Where each side is 3 times as long?
c. Where each side is 4 times as long?
Can some plz help me
Answer:
c
Step-by-step explanation:
decrease £240 by 10%
Answer:
216
Step-by-step explanation:
240 - 240(.10)
= 240 - 24
= 216
Alternative method:
240(.90) = 216
HELP ME PLEASE!!!!!!!!!
PLZ HELPPP
What number is 70% of 60?
Answer:
42
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
42/60 = 70%
(Hope I helped)
Simplify 6.92⁰.
A. −1
B. 0
C. 1
D. 9.92
PLZZZZZ HELP I WILL MARK BRAINLIEST IF IT IS RIGHT AND MUST HAVE AN EXPLANATION
Answer:
0
Step-by-step explanation:
ANYTHING TIMES ZERO IS ZERO.
THERE ISN'T ANY 6.92. IT'S JUST ZERO
At the park, a statue stands on a marble base. The statue and marble base have a total height of 59.4 inches. The height of the marble base is 16.09 centimeters. Given that 1 inch is equal to 2.54 centimeters, what is the height of the statue?
Answer:
134.786 centimeters
Step-by-step explanation:
First you need to convert inches to cm by doing 59.4x2.54=150.876 then you subtract 16.09 from that. Your answer would be 134.786 centimeters
a box is 70 cm long. which of theses are the closest to the length of this box in feet?
A. 0.21 foot
B. 0.49 foot
C. 1.64 feet
D. 2.30 feet
Answer:
d. 2.30 feet
Step-by-step explanation:
there are around 30 cm per foot so 70 cm translates to around 2.3 feet
Answer:
2.29 fr
Step-by-step explanation:
Convert cm to ft.
What is 17% written as a decimal? Will give brainiest for fastest and correct answer!!!
What is 17% written as a decimal?
a.
0.0017
b.
0.017
c.
0.17
d.
1.7
Answer:
0.17
Step-by-step explanation:
Answer:
C) 0.17
Step-by-step explanation:
There is an invisible decimal behind the 17 in 17% and you have to move that decimal to the right twice. Which makes 17% become 0.17
*PLEASE ANSWER, I NEED HELP*
Which of the following graphs shows the solution set to t > 4 or t < -1?
Answer:
The second graph
Step-by-step explanation:
t is greater than 4 and less than -1 but doesn't include the points 4 and -1 (thus the open circles)
The second graph represents the solution set to t > 4 or t < -1.
What are open and closed interval ?In open interval we do not include the point and represented by open circle in close interval we do include the points and represented by closed interval.
According to the given question we have to determine which graph represents the solution set t > 4 or t < -1.
We know when we represent less than or greater than in the number line we represent it as an open circle.
So, t > 4 will be represented by an open circle on the number line starting at 4 but not including which goes to positive infinity and t < -1 will be represented by an open circle at -1 not including which goes to negative infinity.
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What is sin 60 degrees?
Answer:
A
Step-by-step explanation:
3 types of no correlation scatterplots
Answer:
correlation: positive, negative, none
Step-by-step explanation:
What is the solution-2|2.2x-3.3|=-6.6
Answer:
X=3,0
Step-by-step explanation:
A sign company charges $28 per yard for each custom-made banner. Ms.Gill orders two banners that are each 1 7/8 yards long, and one banner that is 2 5/8 yards long. What will Ms.Gill pay for all three banners?
Answer:
%178.50
Step-by-step explanation:
$52.50+$73.50=$126
$126+$52.50=
$178.50 for all three banners
which expression is not equivalent
Please help I don’t know it
Answer:
109
Step-by-step explanation:
Answer:
109 because it will be equal to the other angle so u have 109+1=110
Step-by-step explanation:
A number "s" is subtracted from seven. When the result is divided by three, the quotient is two. What is the number?
Answer:
13.
Step-by-step explanation:
Here's the equation you can write:
s-7/3=2
s-7=6
s=13
Is -5 a solution to the equation 6x + 5 = 5x + 2x? Explain?