Answers
Answer:
A
Step-by-step explanation:
Using the sine ratio on the right triangle on the right to find x
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{70}[/tex] ( multiply both sides by 70 )
70 × sin30° = x , thus
x = 35
-----------------------------------------------
Using the sine ratio on the right triangle on the left to find y
sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{35}{y}[/tex] ( multiply both sides by y )
y × sin42° = 35 ( divide both sides by sin42° )
y = [tex]\frac{35}{sin42}[/tex] ≈ 52.3 ( to the nearest tenth ) → A
Answer:
y = 52.3.
Step-by-step explanation:
Consider the larger triangle on the right:
sin 30 = x / 70
x = 70 sin 30 = 70 * 0.5
= 35.
So, considering the small triangle:
Sin 42 = 35/y
y * sin 42 = 35
y = 35 / sin 42
y = 52.3.
Related Questions
Helppppppppppppppppp
Answers
Answer:
if it's asking for the like point it would be (3,3)
Step-by-step explanation:
i apologize if that's not what it is asking for
I will give a brainlist if you help me with this! :))
Answers
Answer:
The length of [tex]\overline{AD}[/tex] is 20 inches
Step-by-step explanation:
The given parameters are;
Triangle ABC is similar to triangle DEC, therefore, we can write, ΔABC~ΔDEC
[tex]\overline{AC}[/tex] = 30 inches
[tex]\overline{BA}[/tex] = 18 inches
[tex]\overline{ED}[/tex] = 6 inches
By similar triangles formula, we have;
[tex]\overline{BA}[/tex]/[tex]\overline{ED}[/tex] = [tex]\overline{AC}[/tex]/[tex]\overline{DC}[/tex]
Substituting the known values gives;
18/6 = 30/[tex]\overline{DC}[/tex]
Therefore, [tex]\overline{DC}[/tex] = 30/(18/6) = 30/18 × 6 = 10
[tex]\overline{DC}[/tex] = 10
[tex]\overline{AD}[/tex] = [tex]\overline{AC}[/tex] - [tex]\overline{DC}[/tex] = 30 - 10 = 20
[tex]\overline{AD}[/tex] = 20 inches.
what is a linear equation that contains these points?
Answers
Answer:
C
Step-by-step explanation:
If you plug in the numbers into that equation you get
1 = -2(2) + 5
1 = -4 + 5
1 = 1
You can also do this again with x = 5 y = -5
-5 = -2(5) + 5
-5 = -10 + 5
-5 = -5
John is selling sets of Legos and makes a 10% commission on all sales. what would his
commission be on the sale of a $3750 set of Legos?
Commission would be $
Answers
Answer: The commision would be $ 375
Step-by-step explanation:
Find the slope of the line.
Answers
What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.
Answers
Answer:
Solve the equation so it is in the y=mx+b form.
Step 1. 6x+9y = 216
Step 2. 9y = -6x+216
Step 3. y = -6/9x+24
Step 4. Simplify/Reduce to get y = -2/3x+24
Since it is Parallel then the slope is the same so the slope is -2/3x.
Step-by-step explanation:
i need some help I really don't know how to start
Answers
Answer:
14
Step-by-step explanation:
these are similar triangles.
4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4
8 * 7/4 = solution
= 14
Please answer ASAP!!!
Answers
dolphin - 43.3%
lion - 56.3%
rabbit - 47.5%
squirrel - 62 %
tiger - 65.8%
1. dolphin, rabbit, lion, squirrel, tiger
2. average person sleeps 8 hours a day which equals 33.3% ( 8/24 )
3. you, dolphin, rabbit, lion, squirrel, tiger
Determine the type of triangle that is drawn below.
Answers
Answer:
it is an isosceles triangle
Step-by-step explanation:
the two sides of the triangle are equal in length, also the angles opposite to the equal sides are equal. so, it is called as isosceles traingle
what is a better deal
$23 for 10 lb or $32.05 for 15 lb
Answers
$23 for 10 means you’re paying 2.3 per pound while $32.05 for 15 means you’re paying 2.13 per pound. Which means that you’re paying less in the second one
Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.
Answers
Answer:
(X, y) =(3,-3)
Step-by-step explanation:
Use second equation
Apply to the first
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answers
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
Do Recommendations Seventh grade > S Solve for d. 3 + 2d = 5
Answers
If DF=61 and EF=18, find DE.
Answers
Find the gradient of the line segment between the points (5,-2) and (3,-8).
Answers
Answer:
3
Step-by-step explanation:
The gradient of the line can be calculated using the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-8-(-2)}{3-5}[/tex]
= [tex]\frac{-8+2}{3-5}[/tex]
= [tex]\frac{-6}{-2}[/tex]
= 3
What is the new position of the drone relative to the top of the building?
Answers
Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Evaluate each expression
|30-5|-|-7|
Answers
Answer:
18
Step-by-step explanation:
|30 - 5| - |-7| = 18
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
Answers
Answer:
he earned 8 dollars in interest
Step-by-step explanation:
800(1+(.02)(.5))
hopefully im correct
When are two distinct lines parallel?
Answers
Answer:
if the line keeps going and theynever touch
Step-by-step explanation:
Answer:
Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other
Step-by-step explanation:
Please help me with 7
Answers
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
Answers
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
struggling on getting my brain to understand how this works I HATE MATH
Answers
What is the least common multiple of the two denominators?
6/8 and 4/32
-8
-32
-12
-18
Answers
Answer:
32
Step-by-step explanation:
32 × 1 = 32
8 × 4 = 32
Therefore, the LCM is 32
Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn? Write an equation and solve
Answers
Music us enjoy to --- and said aaaa
(15 points) plz ay help would be appreciated and brainly will be given to best answer/for e-f find the value of x,y.z in each figure
Answers
Answer:
For E, each angle is 60° because its an equilateral triangle.
F is 45° for x, 135° for y, lastly z is 22.5°
The math teacher gives each student a map of the amusement park that uses a coordinate plane. The meeting location is at (0, 0) on the map. Each unit is 100 feet. The first ride that you want to try is located at the coordinates (0, 4). The next ride is located at (3, 0). If you walked in a straight line from the first ride to the second ride, how many feet would you travel?
Answers
Answer:
500 ft
Step-by-step explanation:
use this formula
The actual distance between first and second ride is 500 ft.
What is Distance Formula?The distance between two point P(a, b) and Q(c, d).
so, the distance PQ = √(c-a)² + (d- b)²
Given:
Starting point = (0,0)
First ride = (0,4)
Second ride = (3,0)
In map, each unit = 100 ft
Using the distance formula
d = √( 3-0)² + (0-4)²
d = √9+ 16
d= √25
d = 5 units
So, the distance between first ride and second ride in the map is 5 units.
and,1 units = 100 ft
5 units = 500 ft
Hence, the actual distance between first and second ride is 500 ft.
Learn more about distance formula here:
https://brainly.com/question/28956738
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Find the coordinates of the reflection: B (4,5) is reflected over the line y=x
Answers
Answer:
d
Step-by-step explanation:
just try to form the graph it really helps visualising it and finding the reflection i hope this helped
At a grocery store to gallons of milk cost $7.20 and 5 gallons of milk cost $18 write an equation relates the total cost T to the gallons of milk purchased M
Answers
Answer:
$7.20 + (5 x $18) = T
Step-by-step explanation:
3 4/5 - 2 1/3 and if needed simplify
Answers
Answer:
1 7/15 or 22/15
Step-by-step explanation:
Perpendicular Lines
Instructions: Given the following image is a cube, name a segment that is
perpendicular to AH?
Answers
Answer:
HG
Step-by-step explanation:
Where they meet another line at a 90 degree angle.
The segment that is perpendicular to segment AH in the given cube is: HG.
What are Perpendicular Segments?When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.
In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.
Learn more about perpendicular segments on:
https://brainly.com/question/1865107
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