Answers
Hey there! :)
Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:
- SOH = Sin: opposite over hypotenuse
- CAH = Cos: adjacent over hypotenuse
- TOA = Tan: opposite over adjacent
The question is asking us to find the value of x given the following located in the image provided.
Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.
We must now look at the other given variables in this triangle - specifically where they are located.
While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.
Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.
We now set up our equation to find the value of x:
tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.
Now, we must remove all fractions. We can do this by multiplying both sides by 8.
8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8
Now, we simplify.
8 × tan (51°) = x
Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.
8 × 1.2348 = x
Simplify.
x = 9.9
Therefore, angle x is 9.9
Hope this helped! :)
(Image attached for visual reference)
Related Questions
side and angle properties of a parallelogram (level 2). NO LINKS!!!
Find the value of x, y, and z.
Answers
9514 1404 393
Answer:
x = 59°y = 40°z = 81°Step-by-step explanation:
The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...
z° +40° = 121°
z° = 81°
__
Adjacent angles of a parallelogram are supplementary, so ...
∠CDA +∠BAD = 180°
x° + 121° = 180°
x° = 180° -121°
x° = 59°
__
Alternate interior angles are congruent, so ...
y° = 40°
please help me and use laws of exponents
Answers
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
The computer club spent $27.75 on beverages for the end-of-year picnic. The total cost of the beverages was $0.75 per person. How many people attended the picnic
Answers
The perimeter of a rectangular painting is 244 centimeters. If the width of the painting is 51 centimeters, what is the length?
Answers
Answer:
193 i think
Step-by-step explanation:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooo
qqqqqqqqqnxkkakakzmmz
Answers
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
IF U GET CORRECT U GET BRAINLIEST
The last five houses built in town sold for the prices shown below. Find the mean price. Use pencil and paper. If a new house built in the town sold for $160,000, how would that affect the mean?
prices: $181,00; $187,00; $144,00; $176,00; $175,00
what is the mean price of the houses??
Answers
Answer:
172,600
Step-by-step explanation:
hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were
so 181,000+187,000+144,000+176,000+175,000=863,000
then divide by 5
863,000/5=172,600
hope this helped !
HELP! Will give branliest!
Answers
Answer:
angle 1 is 99
angle 2 is 81
Step-by-step explanation:
3x+x+48=180
4x+48=180
4x=132
x=33
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
Answers
JKkj J JVJ J J J J J J J J J J J J JK K JK JKJ K KJ K JK J
Answers
Answer:
asdfasdfasdfasdf
Step-by-step explanation:
Step-by-step explanation:
ᕙ(⇀‸↼‶)ᕗᕦ(ಠ_ಠ)ᕤ୧( ಠ Д ಠ )୨
A trunk measures 48 inches long, 22 ½ feet wide, and 32 inches high. What is the volume of the box? Answer without units
Answers
Answer:
Volume of trunk = 4,14,720 inches³
Step-by-step explanation:
Find:
Length of trunk = 48 inches
Width of trunk = 22 ½ feet = 45 / 2 = 22.5 feet
Height of trunk = 32 inches
Find:
Volume of trunk
Computation:
1 feet = 12 inch
Width of trunk = 22.5 feet
Width of trunk = 22.5 x 12
Width of trunk = 270 inches
Volume of trunk = Length x Width x Height
Volume of trunk = 48 x 270 x 32
Volume of trunk = 4,14,720 inches³
Question 9 (1 point) Evaluate the expression: For k=4 6k3 la 64 b 24. 384
Answers
How would the graph of the function y=|x|-4 be affected if the function were changed to y=|x|-1?
Answers
Answer:
[tex]y =|x| - 4[/tex] is translated 3 units up
Step-by-step explanation:
Given
[tex]y =|x| - 4[/tex]
Required
The changes that makes it to: [tex]y =|x| - 1[/tex]
By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]
Next, is to calculate the units of translation (c)
Represent the old function as:
[tex]y=\left|x\right|-4 + c[/tex]
Equate y and y
[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]
Cancel out |x|
[tex]-4 + c=-1[/tex]
Solve for c
[tex]c = 4 - 1[/tex]
[tex]c = 3[/tex]
5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?
asap please thank you so much
Answers
Answer:
the plane landed at 10:43 A.M
If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning.
Answers
Answer:
27.91 pretzels.
Step-by-step explanation:
Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
89 / 2.5 / 11 = X
35.6 / 11 = X
3.236 = X
3/4 = 0.75
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
Plz help me well mark brainliest if correct............?
Answers
Answer: 343
hope this helps
If JK= 2x, KL=8, and JL= 4x, what is JK?
(On a line segment)
J 2x K 8 L
|—————————-|————————-|
4x
^_____________|_____________^
Answers
Answer:
JK = 8
Step-by-step explanation:
As JK + KL = JL.
2x + 8 = 4x
–2x –2x
8 = 2x
÷2 ÷2
4 = x.
x = 4.
JK = 2x.
x = 4 → JK = 2x → JK = 2(4) → JK = 8.
who was the artist that cut off his ear?
Answers
Answer:
Vincent Van Gogh
Step-by-step explanation:
He was the artist who cut off his ear in 1888 in December I think...
I hope this helped :))
Can someone help me
Answers
Answer:
8
Step-by-step explanation:
If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.
What is the radius of a hemisphere with a volume of 1773 cm”, to the nearest tenth
of a centimeter?
Answer is - in cms
Answers
Answer:
R=9.5
Step-by-step explanation:
If anyone could pls do this for me
https://brainly.com/question/23716720
Answer:
Radius(r) = 9.5 cm
Happy learning!
Applepi101
WILL
GIVE BRAINLIST
ANSWER
MATH
Answers
Hopefully you can read it ;)
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answers
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
PLEASE HELP ! Determine the type of triangle drawn below.
Answers
Answer:
Scalene,right angled triangle
Hope it helps
In rolling one die, give the probability a number less than 4 will show.
a: 1 over 4
b: one half (1/2)
c: 1 over 3
d: 2 over 3
Answers
Answer:
A die usually has 6 sides.
Answer - B (1/2)
what is the value of 5.4
54 tenths
54 hundredths
54 ones
540 tenths
Answers
Answer:
The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.
Step-by-step explanation:
Hope this helps ❤️
What is the remaining area
Answers
Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC
Answers
Answer:
arc AC = 202°
Step-by-step explanation:
Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.
Thus:
m<P = ½(arc AC - arc CB)
Substitute
78° = ½(arc AC - 46°)
Multiply both sides by 2
2*78 = arc AC - 46
156 = arc AC - 46
Add 46 to both sides
156 + 46 = arc AC
202° = arc AC
arc AC = 202°
Please answer number 5 for brainliest:)
Answers
Darryl and his dad baked 4 apple pies for the family reunion. They cut each pie into
eighths. How many pieces of apple pie did they bring to the reunion?
Answers
Answer:
32 pieces
Step-by-step explanation:
basically its 8 x 4
8x4=32
you get 8 because it says they are cut into eighths and the 4 because of four pies
Answer: 32 pieces of apple pie.
Please mark as brainlist.
The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration.
GPA Monthly Salary ($)
2.6 3,500
3.4 3,800
3.6 4,200
3.1 3,700
3.4 4,200
3.1 2,500
The estimated regression equation for these data is = 2090.5 + 581.1x and MSE = 21,284.
Required:
a. Develop a point estimate of the starting salary for a student with a GPA of 3.0
b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals).
c. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals).
Answers
Answer:
1.) 3833.8
2.) (3428.81 ; 4238.79)
Step-by-step explanation:
1.)
Point estimate of the salary for student with GPA of 3.
Using the regression model given :
Y = 2090.5 + 581.1x
x = 3
Y = 2090.5 + 581.1(3)
= 3833.8
2.)
95% confidence interval :
Y ± Tcritical * √MSE
Y = point estimate at x =3 ; = 3833.8
MSE = 21,284
Tcritical at 95% ; df = n-2 = 6-2 = 4
Tcritical(0.025 ; 4) = 2.776
√MSE = √21284 = 145.89036
Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81
Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79
(3428.81 ; 4238.79)
2 + 2 =
very easy beainliest :)
Answers
Answer:
4
Step-by-step explanation:
1+1+1+1=4
Answer:
wow, hardest question I've ever answered! It's either 4 or 22, I can't decide
Step-by-step explanation: