Answer:
[tex]43.87^{\circ}[/tex]
Step-by-step explanation:
We are given that
Height of mountain=350 m
Distance from the tree to the skier=505 m
We have to find the angle of depression from where the skier is standing to the base of the tree.
In triangle ABC
[tex]\frac{AB}{AC}=sin\theta[/tex]
By using the formula
[tex]\frac{Perpendicular\;side}{Hypotenuse}=sin\theta[/tex]
[tex]\frac{350}{505}=sin\theta[/tex]
[tex]sin^{-1}(\frac{350}{505})=\theta[/tex]
[tex]\theta=43.87^{\circ}[/tex]
Hence, the angle of depression from where the skier is standing to the base of the tree=[tex]43.87^{\circ}[/tex]
You solve a system by substitution and get 16=34. What does this mean?
SOMEONE PLEASE HELP
Answer:
First choice.
Step-by-step explanation:
When you solve the system and somehow get both sides two different value. That means both graphs are oarallel (graph of both equations). When two sides are different, we can say that there are no solutions.
The equation y+6=3(x= 9) is written in point-slope form. What is the equation written in slope-intercept form?
O y-x-
O - x + 9
O x-fx-8
o y = x + 3
Answer:
slope intercept form is y = mx + b
It looks like y= x+3 is the only option in slope intercept form
Which equation best describes the graph?
y = -4/5x – 2
y = 5/4x – 2
y = 4/5x + 2
y = -5/4x + 2
Answer:
A
Step-by-step explanation:
graph calc
Answer:
y=-4/5x-2
Step-by-step explanation:
the y intercept is -2, because the line touches the y axis at -2. the line is the the 2nd and the 4th quadrant which make the slope negative. The rise is 4 and the run is 5, so its -4/5x.
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Question 38
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Question 38
This year, Martin's income is 1/4 greater than his income from last year.lfs represents Martin's income last year, what is his income this
i
year?
A
S
B
S
С
s
D
4s
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systems of equations 5x+y=7
20x+2=y
Step-by-step explanation:
5x+y=7
20x+2=y
put y value in first equation
5x+(20x+2)=7
25x=5
x=5
now put x value to determine y
as we know 20x+2=y
20(5)+2=y
y=102
Create a story for the following function: y=15,000 - 250x please help!!
Answer:
just search and then thats it
Mark all of the statements that are true.
Answer: E C and A
Step-by-step explanation:
help me plz !!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
8 ×1/2, if I'm wrong I am sorry
Answer:
1/8
Step-by-step explanation:
What are the values of x and y?
Answer
the one in the bottom right
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex]
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 60 ( divide both sides by 2 )
x = 30
--------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 10[tex]\sqrt{3}[/tex]
What is the solution to the system of eqautions represented by these two lines?
Answer:
Step-by-step explanation:
A or C
Answer:
The solution to the system of equations represented by these two lines is:
(2, 0)Hence, option C i.e. (2, 0) is correct.
Step-by-step explanation:
Please note that the point of intersection between two lines is the solution of the system of equations.
From the graph, it is clear that two lines intersect at x = 2 and y = 0.
In other words, the point of intersection of the two lines is:
(x, y) = (2, 0)
Therefore, the solution to the system of equations represented by these two lines is:
(2, 0)Hence, option C i.e. (2, 0) is correct.
Consider angle θ in Quadrant lI, where cosθ = - 12/13. What is the value of sinθ?
Answer:
The value of sin Ф is [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
In quadrant II, the value of
sin Ф is positivecos Ф is negativetan Ф is negativeLet us solve the question
∵ sin²Ф + cos²Ф = 1
∵ cos Ф = [tex]\frac{-12}{13}[/tex]
→ Substitute it in the identity above
∴ sin²Ф + ([tex]\frac{-12}{13}[/tex])² = 1
∴ sin²Ф + [tex]\frac{144}{169}[/tex] = 1
→ Subtract [tex]\frac{144}{169}[/tex] from both sides
∵ sin²Ф + [tex]\frac{144}{169}[/tex] - [tex]\frac{144}{169}[/tex] = 1 - [tex]\frac{144}{169}[/tex]
∴ sin²Ф = [tex]\frac{25}{169}[/tex]
→ Take the square root of both sides
∵ √(sin²Ф)= ± [tex]\sqrt{\frac{25}{169}}[/tex]
∴ sin Ф = ± [tex]\frac{5}{13}[/tex]
∵ Ф is in quadrant II
∴ sin Ф is a positive value
∴ sin Ф = [tex]\frac{5}{13}[/tex]
∴ The value of sin Ф is [tex]\frac{5}{13}[/tex]
Are the ratios 3:2 and 17:12 equivalent?
yes
no
Answer:
no
Step-by-step explanation:
3:2 is equal to 18:12 not 17
Wayne has a recipe that says to heat the oven to 160°C. Wayne evaluates the expression 1.8C + 32 when C= 160 to convert the temperature to degrees Fahrenheit To which temperature should Wayne heat the oven?
Wayne should heat the oven to a temperature of 320°F for a recipe.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
Wayne has a recipe that says to heat the oven to 160°C.
To convert a temperature in degrees Celsius to degrees Fahrenheit, we can use the formula:
F = 1.8C + 32
Given that C= 160, we can substitute it into the formula:
F = 1.8(160) + 32
F = 288 + 32
F = 320
Therefore, he should heat the oven to 320°F.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ5
Given a quadrilateral DEFG. If angle ED is supplementary to ____________then DEFG is a parallelogram .
A. angle EFG and angle DEF B. angle DGF and angle EFC C. angle DEF and angle DGF
Answer:
The correct option is A.
Step-by-step explanation:
It is given that DEFG is a parallelogram.
Draw the diagonals DF and EG. Place point H where DF and EG intersect.
In triangle HGD and HEF
,
∠HGD ≅ ∠HEF (Alternate Interior angle)
∠HDG ≅ ∠HFE (Alternate Interior angle)
By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.
DG ≅ EF (Opposite sides of parallelogram)
According to ASA postulate :
two triangles are congruent if any two angles and their included side are equal in both triangles.
So, by using ASA criterion for congruence we get,
ΔDGH ≅ ΔFEH
Since corresponding sides of congruent triangles are congruent, therefore
GH ≅ EH (CPCTC)
DH ≅ FH (CPCTC)
HELP THIS IS WORTH 100 POINTS WILL MARK BRAINLIEST
Answer:
V T R (answer choice 4)
Step-by-step explanation:
Plane B is the side of the figure labeled B
The following points are on Plane B:
T, U, V, R, S
The only answer that contains three of these points is D (Answer choice 4)
Can you answer this plzz
Answer:
that will be 4
Step-by-step explanation:
it goes by 4
Are 6 (x + 5) and 6 • x + 6 • 5 equivalent
Answer:
Yes they are equivalent
FOR 43 POINTS PLEASE HELP I don't want to fail I need as much help as i can get
QUESTION 1
If RS is 2x+15, and VW is 3x+5, and UT is 6x-37. What is RS?
QUESTION 2
Angle J is (7x+2) Angle L is (25x-14)
What is (x)
Answer:Can u sum it up?
Step-by-step explanation:
Answer:
47
Step-by-step explanation:
Step-by-step explanation:
(Base1 + Base2)/2 = midsegment
1. ((2x+15) + (6x-37))/2 = 3x+5
2. (8X-22)/2 = 3x+5
3. ((8x-22)/2))2 = (3x+5)2
4. 8x-22=6x+10
5. 2x-22=10
6. 2x-22+22=10+22
7. 2x=32
8. x=16
Now that you have solved for X add the value to line RS
RS = 2(16) + 15
RS = 32 + 15
RS = 47
What does 64 squared with an exponent of -3 equal?
Answer:
1.4551915e-11 (e usually means amount of zeros after the number)
Step-by-step explanation:
In △XYZ, angle X is the smallest angle, angle Y is 40 degrees more than angle X, and angle Z is 2 times the measure of angle X. What is the measure of angle X?
Answer:
x=35° y= 75° z = 70°
Step-by-step explanation:
Y = x+40 (known)
z = 2x (known)
x + y + z = 180 (triangle property)
x + (x+40) + 2x = 180 (substitution)
4x + 40 = 180
4x = 140
x = 35
y = x + 40 = 75
z = 2x = 70
For each 3 mm of coloured fabric Alex uses to make his curtains, he also uses 2 cm of white
fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
PLEASE I NEED HELP. XXXXX
Answer: 20:3
Step-by-step explanation:
=) 2 cm = 20 mm
therefore, 20:3
What is the Greatest Common Factor (GCF) of 2x^2 and 4x?
Answer:
56
Step-by-step explanation:
can you help me plz i nee help
Answer:
x = 44
Step-by-step explanation:
its saying that x is less than 45 therefore its 44
Answer:
D
Step-by-step explanation:
x needs to be less then 45
Use the equation below to find v, if u = 18, a=6, and t=4.
v=u+at
Answer:
v= 42
Step-by-step explanation:
To find the value of v, substitute the given values into the equation.
v= u +at
when u= 18, a= 6, t= 4,
v= 18 +6(4)
v= 18 +24
v= 42
MATH HELP ASAP!! MARKING BRAINLIST PLS! A B OR C
Answer:
A
Step-by-step explanation:
I am 100% sure it is A.
Which linear equation has the greatest y intercept?
x + 6y = 36
Y = 15x + 5
3x + 8y = 24
Y = 4x + 7
Answer:
y=4x+7
Step-by-step explanation:
replace x by any one number and find out
Emily Casper earns a weekly salary of $785. How much will she make after:
a, two weeks?
b, four weeks?
c, one year?
Answer:
Two weeks: $1570
Four weeks: $3140
One year: 9420
Step-by-step explanation:
Please help due soon will give brainliest
Answer:
The intersect point 4,3 H
Step-by-step explanation:
Hope this helps. Have a fantastic day!
HELPPPP indentify one characteristic of exponential decay
Answer:
A more intuitive characteristic of exponential decay for many people is the time required for the decaying quantity to fall to one half of its initial value. This time is called the half-life, and often denoted by the symbol t1/2. The half-life can be written in terms of the decay constant, or the mean lifetime.
Step-by-step explanation:
what is the solution of the proportion?
x-6/4 = 2/4
a 9/2
b 5/2
c 21/2
d 18
Answer:
Solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.
Step-by-step explanation:
We need to find solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex]
For solving the equation, first we will multiply both sides by 4
[tex]\frac{x-6}{4}=\frac{2}{4}[/tex]
[tex]4\times \frac{x-6}{4}=4\times \frac{2}{4}[/tex]
[tex]x-6=4(\frac{2}{4})[/tex]
Simplifying
[tex]x-6=2[/tex]
Adding 6 on both sides
[tex]x-6+6=2+6x=8[/tex]
So, solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.
Note: Kindly recheck your options as correct answer is x =8.