Why am i wrong? Trigonometric Ratios. Real answers only!
Answer:
You may have gotten the opposite and adjacent mixed up.
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:
SOH stands for-
[tex]Sine=\frac{Opposite}{Hypotenuse}[/tex]
CAH stands for-
[tex]Cosine=\frac{Adjacent}{Hypotenuse}[/tex]
TOA stands for-
[tex]Tangent=\frac{Opposite}{Adjacent}[/tex]
We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:
[tex]tan74=\frac{24}{7}[/tex]
So the answer would be [tex]\frac{24}{7}[/tex]
Seeing as how you picked [tex]\frac{7}{24}[/tex] as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used [tex]tangent=\frac{adjacent}{opposite}[/tex] as your trigonometric ratio.
I hope you find my answer and explanation to be helpful. Happy studying.
can someone help me out in this, ill give brainliest if correct, you can answer by doing it in a paper and taking a picture of it or just find out another way
Answer:
Answering so you can give other person branliest
Can someone help me, what do I put in the 4 boxes below?
Answer:
so simple pls follow up..
Inbox me
Write them equation of the line with the given slope and y-intercept. Slope is -2 and a y-intercept of 5
Answer:
y=-2x+5
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
Please help thank you so mcuh
Answer:
7.0
Step-by-step explanation:
Right angled triangle. To find the hypotenuse, use Pythagorean theorem.
Hypotenuse² = base² + altitude²
= 6.5² + 2.7²
= 42.25 + 7.29
= 49.54
hypotenuse = √49.54 = 7.04 = 7
Step-by-step explanation:
by using Pythagoras law
h²=p²+b²
missing angle =h let
h²=(2.7)²+(6.5)²
h=√(49.50)=7.03=7
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!
Answer:
B) ΔGRS ≈ ΔART by SAS Similarity
Step-by-step explanation:
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
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Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and reciprocal identities
How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.
#3
Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.
cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]
#4
Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.
csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]
The pythagorean identities are
sin^2 + cos^2 = 1,
1 + cot^2 = csc^2,
tan^2 + 1 = sec^2.
#5
Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.
sin^2 + (-3/4)^2 = 1
sin^2 + 9/16 = 1
sin^2 = 7/16
sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]
Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.
tan^2 + 1 = (-4/3)^2
tan^2 + 1 = 16/9
tan^2 = 7/9
tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]
#6
Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.
1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]
1 + cot^2 = 6/4
cot^2 = 2/4
cot = [tex]\frac{\sqrt{2}}{2}[/tex]
tan = [tex]\sqrt{2}[/tex]
Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.
[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2
4/2 + 1 = sec^2
2 + 1 = sec^2
sec^2 = 3
sec = -[tex]\sqrt{3}[/tex]
cos = [tex]\frac{-\sqrt{3}}{3}[/tex]
Hope this helps!! :)
Answer:
sin(θ)=√7/4
tan(θ)= - √7/3
Step-by-step explanation:
c^2= √(4^2-(-3^2))
c^2= √(16-9)
c^2= √7
sin(θ)= opp/hyp=√7/4
tan(θ)= (opp )/adj= - √7/3
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
brainly.com/question/953809
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The students in Mr. McIntyre’s class and the students in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results.
Mr. McIntyre’s Class
A dot plot titled Mister McIntyre's Class. A number line going from 0 to 5 is labeled Number of Pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.
Mrs. Ramos’s Class
A dot plot titled Misses Ramos's Class. A number line going from 0 to 5 is labeled Number of Pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.
Which statement correctly compares the means of the data in the dot plots?
The mean for Mr. McIntyre’s class is about 2 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 2 more than the mean for Mr. McIntyre’s class.
The mean for Mr. McIntyre’s class is about 1 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 1 more than the mean for Mr. McIntyre’s class.
Answer:
B is the answer.
Step-by-step explanation:
took test. 100% sure.
Answer:
Step-by-step explanation:
bbbbbbbbbbbbb
What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
Nred help, this shape have 9 edges and 6 faces help?
Answer:
Triangular prism
Step-by-step explanation:
A triangular prism has 9 edges, 6 vertices and 5 faces. I don't think there is any other shape which fits 9 edges and 6 faces.
Please help!! I’m stuck on this
√-4 - 5x = x
A. x = -1 or x = 4
B. x = -1 or x = -4
C. x = 1 or x = -4
D. x = -5 or x = 4/5
E. x = 1 or x = 4
Answer:
B. [tex]x = -4\,\lor \,x = -1[/tex]
Step-by-step explanation:
Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.
1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given
2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality
3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property
4) [tex](x+4)\cdot (x+1) = 0[/tex] [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]
5) [tex]x = -4\,\lor \,x = -1[/tex] Result
Hence, the correct answer is B.
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
Expand the expression 9(2t-8)
Answer:
18t-72
Step-by-step explanation:
PLEASE HELP!
The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?
d
15
sin A=-
17
sin =-
8
17
8
sin =
17
sin e
15
17
Answer:
I dont know what sin is
Step-by-step explanation:
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
Help Me, Now! C. At what value of x will each function equal 90? Both functions will equal 90 when x =
Answer:
When x=2
Step-by-step explanation:
Well in the first one it tells you that 2x is 90.
In the second it's y=40x+10
So you plug 2 in as the x.
y=40(2)+10
y=80+10
y=90
Hope this helps
Answer:
Step-by-step explanation:
Simplify Using Laws of Exponent (4x^-2)^3
Answer:
64*x^-6
Step-by-step explanation:
Simplify Using Laws of Exponent (4x^-2)^3
Given data
(4x^-2)^3
Let us open the bracket
=4^3*x^-2*3
=64*x^-6
=64x^-6
Hence the equivalent is
64*x^-6
A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? y=x+ [] Simplify the fraction completely.
Answer:
y=0.5x-3
Step-by-step explanation:
m=(-12+14)/(-18+22)=0.5
y+14=0.5(x+22)
y=0.5x-3
5. Use coordinate notation to describe the
dilation. (Example 3)
Answer:
This is a reduction dilation :)
Step-by-step explanation: