the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answers
Answer: h = 14.5 ft
Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as
[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
i.e., the ratio of a side and the sin of its opposite angle is constant.
So, for this triangle, height is
[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]
[tex]h=\frac{14sin46}{sin44}[/tex]
[tex]h=\frac{10.07}{0.69}[/tex]
h = 14.51
Height of the main sail rounded to the nearest tenth is 14.5 ft.
Related Questions
How many times can 4 go into 33
Answers
Answer:
8 but you would have a remainder of 1
Step-by-step explanation:
4x8 is 32 so 8 r1
I need serious help, this is hard
Answers
======================================================
Explanation:
M is the midpoint of segment PQ. This means PQ is cut in half into two equal smaller pieces PM and MQ. We can say that PM = MQ.
Furthermore, we can say that PQ is twice as long as either piece, so
PQ = 2*PMPQ = 2*MQWe'll use the second equation to say the following:
PQ = 2*MQ
6x+56 = 2*MQ .... replace PQ with 6x+56
6x+56 = 2*(5x+8) .... replace MQ with 5x+8
6x+56 = 2*5x + 2*8 .... distribute
6x+56 = 10x+16
6x+56-10x = 16 .... subtract 10x from both sides
-4x+56 = 16
-4x = 16-56 ..... subtract 56 from both sides
-4x = -40
x = -40/(-4) ..... divide both sides by -4
x = 10
Once we know the value of x, we use it to find the length of PM
PM = MQ
PM = 5x+8
PM = 5*10+8
PM = 50+8
PM = 58
Note how PQ = 6x+56 = 6*10+56 = 116 is exactly twice as large compared to 58. In other words, 2*58 = 116. This confirms that PQ is twice as long compared to PM or MQ. This helps confirm we have the right answer.
Choose the graph that is represented by the function:
y=- 63/4x2 + x4 - 4
Select one:
a. D
b. B
c. C
d. A
Answers
Answer:
is a. D.
Step-by-step explanation:
I hope you serve my answer and goodluck ^^
The perimeter of a college basket ball court is 96 m and the length is 14m
more than the width. What are the dimensions?
Answers
width=17m
length= 31m
Step-by-step explanation:
width = x
length= x+14
perimeter = 96m
2(x+x+14)=96
4x+28=96
4x=68
x=17
width=17m
length= 31m
Which graph has a slope of -3?
Answers
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
please help me answer all of these
Answers
Answer:
y int:(0,8)
x int:-2&4
vertex:(1,9)
max y=9
axis of symetry x=1
domain: all real number
range: y less than or equal to 9
I GIVE BRAINLIEST MARKS I SWEAR rational functions, construct table values and sketch the graph of rational functions
Answers
Answer:
Download math)way it helps I swear
Step-by-step explanation:
Answer:Hope this is rght I only can answer the first
one.
Step-by-step explanation:
Expression of "three fifths of a number b subtracted from thrice the same number" into mathematical symbol
Answers
Answer:
3b - [tex]\frac{3}{5}[/tex] b
Step-by-step explanation:
Let the number be "b"
So the expression would be:
3b - [tex]\frac{3}{5}[/tex] b
what is it plz ????????????
Answers
Solve the equation 2/3(6x-3/2) = 3 - x Options: (A x=1) (B x = 1 1/4) (C x = 4/5) (D x =2/5)
Answers
Answer:
C x=4/5
Step-by-step explanation:
When is the slope intercept form only y= mx and not y = mx+b?
Answers
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
Students were asked to choose their favorite food.
If 4/10 the students chose pizza and 4/10 chose tacos,
what fraction chose either pizza or tacos?
Answers
Answer:
4/5
Step-by-step explanation:
Simply add the two fractions together
4/10 + 4/10 = 8/10
Then simplify
8/10 = 4/5
4/5 students chose either pizza or tacos
How do you Convert fractions to a decimal
Answers
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answers
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units
My last one please help me
Answers
Answer:
Step-by-step explanation:
Only D has a chance of being correct. 7x means you multiply 7 and whatever x is together.
A and B look like they are added.
C looks like some sort of subtraction has taken place.
D: - 1 * 7 = - 7
4*7 = 28
5*7 = 35
3 definitions of slope
Answers
Mr. Garcia has been asked to give 6 desks to Mrs. Johnson. He needs to keep at least 17 desks for his students. He created a model to find x, the number of desks he must have in order to give 6 desks to Mrs. Johnson. Which inequality represents the model for this situation?
Answers
Answer:
The inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
Step-by-step explanation:
Let Mr. Garcia has [tex]x[/tex] number of desks initially.
He has been asked to give [tex]6[/tex] desks to Mrs. Johnson.
Also, he needs to keep at least [tex]17[/tex] desks for his students.
So, after giving [tex]6[/tex] desks to Mrs. Johnson from the total number of desks he has, he must have at least [tex]17[/tex] desks for his students.
Therefore, the inequality is: [tex]x-6\geq 17[/tex].
Hence, the inequality which represents the model for this situation is [tex]x-6\geq 17[/tex].
A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?
Answers
Answer:4
Step-by-step explanation:
6,-2=x-3=4
Segments DE and AB are parallel
Answers
Answer:
yes segment DE and AB are parallel
Answer:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Step-by-step explanation:
We use the proportion among similar triangles:
CE/CD = CB/AC
and solve for CB:
CB = (CE*AC)/CD
Which agrees with the second answer listed
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answers
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
Somebody pls answer this fast!!!!
A new novel is 540 pages. Emily has read 192 pages in 6 hours. Maria has read 170 pages in 5 hours.
a. Who reads faster, Emily or Maria?
b. How long will it take Maria to read the entire novel at her current rate?
Answers
Answer:
maria reads faster (34 pages in a hour compared to 32) and might finish around 15.88 hours
Step-by-step explanation:
i dont think the second part is right
(3^5)^2/3^-2
Simplify please
Answers
531441
Hope this was helpful
Answer: 531441
Step-by-step explanation:
3⁵*²/3⁻²=3¹⁰/3⁻²=3¹⁰⁻⁽⁻²⁾=3¹⁰⁺²=3¹²=531441for the function h(x) = 4x2 -5x what is the value of (-3)
Answers
Answer:
h(-3) = 51
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = 4x² - 5x
h(-3) is x = -3
Step 2: Evaluate
Substitute in x: h(-3) = 4(-3)² - 5(-3)Exponents: h(-3) = 4(9) - 5(-3)Multiply: h(-3) = 36 + 15Add: h(-3) = 51Answer:
f(-3) = 51
Step-by-step explanation:
f(x) = 4x^2 - 5x
f(-3) = 4(-3)^2 - 5(-3)
f(-3) = 4*9 - (-15)
f(-3) = 36 + 15
f(-3) = 51
1. A book has x pages. How many pages are in the book if Maria read 45 pages of a book on
Monday, 1/2 the book on Tuesday, and the remaining 72 pages on Wednesday? *
(10 Points)
117 pages
234 pages
351 pages
468 pages
Answers
Answer:
234
Step-by-step explanation:
45+72=117
117x2=234
Under his cell phone plan Jason pays a flat cost of $60.50 per month and four dollars per gigabyte he wants to keep his bill at $68.90 per month how many gigabytes of data can use while staying within his budget
Answers
Answer:
2 gigabytes of data
Step-by-step explanation:
Given
Amount Jason keeps per month = $68.90
Cost of flat per month = $60.50
Balance for data = 68.90-60.50
Balance for data = $8.40
If 1Gigabyte = $4
x = $8.40
Cross multiply
4x = 8.40
x = 8.40/2
x = 2.20
Hence Jason can only use 2 gigabytes of data while staying within his budget
Answer:
2.1 gigabytes
Step-by-step explanation:
DELTA MATH
QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING
Answers
Answer:
One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea. The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5. Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."
Step-by-step explanation:
May I have brainiest pls I'm trying to level up!
</3 PureBeauty
A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
Answers
Answer:
point slope form: y - 1 = 4 (x -2)
slope intercept form: y = 4x -7
Step-by-step explanation:
If you want it in point slope form it would be: y - 1 = 4 (x -2)
but if you want it in slope intercept form, you solve this equation
y -1 = 4 (x-2)
y-1 = 4x -8
+1 +1
y = 4x -7 in slope intercept form
What happens to a figure that is dilated by a factor of ½ .
Answers
Answer:
i really dont know
Step-by-step explanation:
For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answers
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]
The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for MEDICARE TAX for this pay period was $
Blank.