Answer: x = 9.6
=========================================================
Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
--------------------------
Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
The circle shown has a radius of 4 cm.
Not drawn
to scale
What is the length of the diameter of the circle?
cm
Answer:
[tex]r = \frac{d}{2} \\ d = r \times 2 \\ \: \: = 4 \times 2 \\ d = 8[/tex]
PLEASE HELP ILL GIVE YOU BRAIN GAIN !!!!!
Answer:
v= 8p= 5b= 8n= 6m= -16x= 20Step-by-step explanation:
on the picture
if it's helpful ❤❤❤
THANK YOU.
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
O
$0.72
$0.75
$0.89
$1.72
There is no 1.44
Answer:
i don't wanna tell u the wrong answer but I think it is A
Because it says 8 neclaces for EACH of her two friends
So i divided 11.52 by 16
So i got 0.72 I am sorry if it is wrong Have a great day!
Solve this 2 step equation
d/12 - 6 < 1
Answer:
d<84
Step-by-step explanation:
Let's solve your inequality step-by-step.
d
12
−6<1
Step 1: Simplify both sides of the inequality.
1
12
d−6<1
Step 2: Add 6 to both sides.
1
12
d−6+6<1+6
1
12
d<7
Step 3: Multiply both sides by 12.
12*(
1
12
d)<(12)*(7)
=d/12-6<1
Mandy deposited $30 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will she have in 3 years?
Plz help
Answer:
The answer is $34.73
Can you help me if you have spare time???l Need help asap!!
Answer:
1. ×=14. 2. ×=17. 3. ×=15. 4. x=48
Please Help
help please I hope you help me thanks
Answer:
Every number of years 365 and I have been trying to get a hold of
Please which answer is correct
Answer:
Hai
Step-by-step explanation:
I guess it's should be the first option
Find the missing length x
Which length
there isn't any picture ?????
^o^
Answer:
i do not know the answer...
Yoko has $250 to spend on art supplies. How much money would she have left if she buys a $140 camera and must also pay 8.2% of the $140 in sales tax?
Answer:
she would have 98.52 left
Step-by-step explanation:
250.00 - 140.00 = 110.00
140.00+8.2% =151.48
250.00 - 151.48 = 98.52
I=$119.88, P=?, r=3.6%, t=3 years. Find the Principal.
Answer:
t
Step-by-step explanation:
djjwnzbsiwnnkwnxojex
How do I solve for x??
The two angles given are vertical angles which mean they are the same.
x +40 = 60
Subtract 40 from both sides:
x = 20
Answer:
x=20
Step-by-step explanation:
These are verticle angles, meaning the two should equal one another. If one angle is 60, its vertical angle is x+40.
x+40=60
x=20 (subtract 40 from both sides)
how do I write an equation of the trend line in slope intercept form?
Answer:
y=mx+b
Step-by-step explanation:
Answer:
You can see that it also uses the slope. You'll plug in your x1 and y1 along with the slope into the formula. Then you'll evaluate and rewrite it in the slope-intercept form by solving for the y variable. From this, we see that our equation for the trend line is y = (1/3)x + 2, and we are done!
Step-by-step explanation:
Hope this helps
Question 1
Tell whether the angles are complementary or supplementary. Then find the value of x.
The angle is complementary but I don't know the value of x.
the angles are
x and (x-20)
Answer:
55
Step-by-step explanation:
If they're complementary, that means they add up to 90 so:
x + x - 20 = 90
Then, solve.
[tex]2x - 20 = 90\\2x = 110\\x= 55[/tex]
the first floor of a house consists of a kitchen And dining room. The areas of the living room ,kitchen, and dining room are in the ratio of 3:2:1. The combined area of all three rooms is 576 square feet.
A. What is the area of the dining room?
B. What is the area of the kitchen?
C. What is the area of the living room?
Answer:
A: 96 B:192 C:288
Step-by-step explanation:
3+2+1=6
Divide 576 by 6 to get 1/6, you will get 96.
so 96 is the area of the dining room.
Multiply 2 times 96, since that would be 2/6.
That would be 192.
So 192 would be the area of the kitchen.
Here's a trick: all you need to do is add 96 and 192 now (or multiply 96 by 3), because that is half of the areas, 3/6.
So 96 times 3 is 288.
The living room is 288.
To check our work, we can add 288 by 96 by 192.
We would end up with 576, which was our original number.
So 288:192:96.
The scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet.
Answer:
he was 9 ft in and swam a total of 87 ft total.
PLEASE HELP!!!
y = ✓[?]
[tex]y^{2}=5*6+5\\ y^{2}= 5*11\\\sqrt{55}[/tex]
If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
Answer:
GF = 16.25
Step-by-step explanation:
If G is the circumcenter of triangle ABC, AG = 6x + 1, GC = 9x – 11, and BC = 38, find GF.
Step 1
We find x
AG = GC
6x + 1 =9x - 11
Collect like terms
1 + 11 = 9x - 6x
12 = 3x
x = 12/3
x = 4
Step 2
We solve for AG
GC = 9x + 11
GC = 9(4) + 11
GC = 36 + 11
GC = 25
Step 3
Solving for GF, using Pythagoras Theorem
GF² + BG² = GC²
GF² = GC² - BG²
GF = √GC² - BG²
GF = √25² - 19²
GF = √264
GF = 16.248076809
GF = 16.25
Write an algebraic expression to model the unknown number problem the quotient of a number and nine Which stetements are true? Select all that apply You can replace "a number with a variable to represent an unknown value O Quotient means the result of subtracting two numbers. Division Words divided by Division involving a variable is represented as a fraction quotient 9 The correct expression is sharing The correct expression is grouping Done
Answer:
a c and e
Step-by-step explanation:
Answer:
1GET GOING3ALL MOST THEREYAY5THERE IS YO ANSWERS(1,3,5)Explain how to find the zeros of the given polynomial: x3+3x2–x−3
What are the zeros?
Answer:
Step-by-step explanation:
The zero (root) of a function is any value of the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x-axis.
~~~~~~~~~
f(x) = x³ + 3x² - x - 3
f(-3) = ( - 3 )³ + 3( - 3 )² - ( - 3 ) - 3 = 0
f(-1) = ( - 1 )³ + 3( - 1 )² - ( - 1 ) - 3 = 0
f(1) = ( 1 )² + 3( 1 )² - ( 1 ) - 3 = 0
Answer:
The zeroes of the function are x = -3, x = -1, and x = 1.
Step-by-step explanation:
We are given a polynomial and asked to find the zeroes of the polynomial. Our given polynomial is:
[tex]x^3 + 3x^2 - x - 3[/tex]
The zeroes of a polynomial are the solutions or roots of the function. This is where if the line were graphed, the line would intersect the x-axis at those points (sometimes there will only be one).
This is a cubic polynomial. We can use a factoring technique referred to as grouping, which is most effective when factoring a trinomial with the only satisfaction met is: a > 1.
However, it can also be used when a > 1 is not true.
We can work with an example polynomial first and then work through solving the given polynomial.
An example polynomial would be:
[tex]10x^2 + 8x - 9 = 0[/tex]
In grouping, our main goal is to factor as quickly as possible. If you examine the polynomial, there is no common factor between 10x², 8x, or -9, so we cannot take out a GCF and need to use another factoring technique.
Since a > 1, we can instantly jump to using the grouping factoring technique.
Please note that the parent function for a quadratic is [tex]ax^2 + bx + c = 0[/tex].
To group:
We want to find the product of the terms a and c. So, with our example polynomial, a is 10, b is 8, and c is -9. Therefore, let's find the product of 10 and -9.Using ac, we will list all available factors. After doing this, we will find two factors of ac that will add up to give us b.These two factors are then substituted with b and c in the following parent equation: [tex]ax^2 + bx + cx + d[/tex].Finally, the equation is factored using parentheses in the following format: [tex](ax^2 + bx)(+ cx + d) = 0[/tex]After we group the function, we take the GCF out of both parentheses sets and write it as a coefficient to the remaining bit of the parentheses. The two GCFs are a set of terms and the remaining portion is the other set of terms.Let's use grouping to solve [tex]x^3 + 3x^2 - x - 3[/tex].
Because we already have four terms, we can skip steps one through three and go straight to step four.
[tex](x^3 + 3x^2)(-x - 3)[/tex]
Now, we need to take the GCF of both parentheses sets. Let's do this with our first set of terms.
You can divide x² out of both x³ and 3x², so x² is the GCF, leaving x and 3 behind.Then, we can also do this with our second set of terms.
There is a -1 implied in front of x, and there is no other common term between -x and -3, so -1 is our GCF, leaving x and 3 behind.Because our remaining terms for both sets match, we have grouped our polynomial correctly. Now, let's combine our GCFs into one term and list our common term as the second term.
[tex](x^2-1)(x+3)[/tex]
Now, we can break apart x² - 1 into more factors.
This is the difference of two squares. The formula for the difference of two squares is [tex](a^2-b^2)=(a+b)(a-b)[/tex]
Our perfect squares are every integer in the spectrum of numbers, so 1 is a perfect square. Therefore, x² becomes x and 1 becomes ±1.
Our new terms would therefore be [tex](x+1)(x-1)(x+3)[/tex].
Finally, to find zeroes of a function, x needs to equal something. Therefore, we can set our terms equal to zero and solve for x.
Term 1 (x + 1)
[tex]x + 1 = 0\\\\x + 1 - 1 = 0 - 1\\\\\boxed{x = -1}[/tex]
Term 2 (x - 1)
[tex]x - 1 = 0\\\\x - 1 + 1 = 0 + 1\\\\\boxed{x = 1}[/tex]
Term 3 (x + 3)
[tex]x + 3 = 0\\\\x + 3 - 3 = 0 - 3\\\\\boxed{x = -3}[/tex]
Therefore, our zeroes are listed above. To finalize our answer, we want to list them in increasing order, so this will be most negative to most positive. Therefore, our final answer is x = -3, -1, 1.
The ratio of pigs to cows at the farm is 1 to 4. If there are 12 pigs on the farm, how many cows are there on the farm?
Answer:
48 cows
Step-by-step explanation:
pigs= 1/4
that means the are 12(3)+12 cows
wich is 48 cows
I WILL GIVE BRAINLIEST PLEASE HELP!!!! If the sun is 56 degrees above the horizon, find the length of the shadow cast by a building 58 feet tall. Round your answer to the nearest tenth.
Answer:45
Step-by-step explanation:
solve this system of equations
plz help
Answer:
(10,30)
x=10
y=30
Step-by-step explanation:
Looking at the first one we know exactly what y is equal to in terms of x so whenever we need a y in the second equation we can just replace it with 3x which means we have
-.5x+35=3x
Solve for x and get
35=3.5x
10=x
We can then plug this x value into the first equation and solve for y
y=10*3
y=30
our answer is therefore (10,30)
Answer:
x = 10; y = 30
Step-by-step explanation:
1. Plug the 3x from the first equation into the second equation to substitute the y.
-1/2x + 35 = 3x.
2. Subtract 3x from both sides. Then subtract 35 from both sides.
-7/2x = -35
3. Multiply by the reciprocal
x = 10
4. Plug in 10 as the x in the first equation
y = 3(10)
y = 30
if yiur premiter is 44 whats your area
Answer:
121
Step-by-step explanation:
-------------11----------------
| |
| 11 11 |
| |
______11_________
Each side equals 11, because 44 / 4 sides = 11
Each side equals 11, area = side x side
area = 11 x 11 = 121
Hope this helps!
can someone please help me!??!?
Answer:
Step-by-step explanation:
V= M - [tex]\frac{5x}{ST}[/tex] - [tex]\frac{23}{ST}[/tex]
S = [tex]\frac{(M)8x- 49}{VT}[/tex]
Answer:
∠SVT = 17° ∠VUT =143°
Step-by-step explanation:
system of Eq.
Eq. 1) 20 + 8x-49 +y =180 ( around one triangle)
8x +y = 209 (Eq 1 simplified)
16x +2y =418 (Eq 1 times 2)
Eq. 2) 40 +8x-49 + 5x+23 +2y =360 (around the whole diamond )
13x + 2y = 346 (Eq 2 simplified)
-(16x +2y = 418 ) ( subtract Eq. 1 from Eq. 2 )
-3x = -72
x = 24°
then ∠S = 5x+23 = 5(24) +23 = 143°
then ∠U = 8x -49 = 8(24) - 49 = 143°
20 + 143 +y =180
y = 17°
check it :
40 + 34 + 286 = 360° ( around the whole diamond )
:) looks good
In the coordinate plane, point W is located at (-11,35). If point W is reflected across the x-axis, what are he new coordinates
Answer:
The new coordinates are (-11, -35)
Step-by-step explanation:
When reflecting across the x-axis, you are just the Y. value. It is the opposite due to the fact that if you're moving something across the horizontal x-axis, it's actually the vertical height changing. So, you just inverse the Y value to its' negative or positive reciprocal.
What were the name of Catholic religious complexes built throughout Europe in the Middle Ages?
Answer:
Cathedrals
Step-by-step explanation: Trust my brain i studied this to
According to police sources, a car with a certain protection system will be
recovered 94% of the time. If 400 stolen cars are randomly selected, what
is the standard deviation of the number of cars recovered after being
stolen?
94 divided by 400
then you will get your answer your looking for
If AABC ~ ADEC, find the value of x and y.
Answer:
please mark the brainliest❤❤
Step-by-step explanation:
[tex] \frac{6}{21} = \frac{x}{28} = \frac{10}{y} [/tex]
(6×28)÷21=8
(28×10)÷8=35
so x=8
y=35
The value of x is 8 units and y is 35 units.
What is Similarity?In geometry, two similar forms are those whose dimensions are identical or have a same ratio but the size or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares.
Given:
ΔABC ~ ΔDEC
Then, AB/ DE = BC / EC = AC/ DC
So, AC/ DC = AB/ DE
x / 28 = 6 / 21
x / 28 = 2/ 7
x= 8 units
and, BC / EC = AB/ DE
10 / y = 6/21
10/ y = 2/7
2y= 70
y= 35 units
Hence, the value of x is 8 units and y is 35 units.
Learn more about Similarity here:
https://brainly.com/question/26451866
#SPJ2
Tickets for a concert cost 90$ plus a 5% fee.what is the final cost of the concert ticket?
Answer:
$94.50
Step-by-step explanation:
5% × 90 = 4.5
=> 90 + 4.5 = 94.5