Answer:
miles to travel directly south = 54 miles (to the nearest mile)
extra miles = 68 miles (nearest mile)
Step-by-step explanation:
We need to find the height of the right triangle in the diagram.
To do this, use the sine trig ratio.
[tex]\sin(x)=\sf\dfrac{O}{H}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleH is the hypotenuseGiven:
[tex]x[/tex] = 27°
O = height (h)
H = 120 miles
Substituting the given values into the formula:
[tex]\implies \sin(27^{\circ})=\sf\dfrac{h}{120}[/tex]
[tex]\implies \sf h=120 \sin(27^{\circ})[/tex]
[tex]\implies \sf h=54.47885997...[/tex]
Therefore, the shipmate will have to travel 54 miles (to the nearest mile) directly south.
To find the number of extra miles have been traveled, we first need to find the base length of the right triangle.
To do this, use the cos trig ratio.
[tex]\cos(x)=\sf\dfrac{A}{H}[/tex]
where:
[tex]x[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]x[/tex] = 27°A = base (b)H = 120 milesSubstituting the given values into the formula:
[tex]\implies \cos(27^{\circ})=\sf\dfrac{b}{120}[/tex]
[tex]\implies \sf b=120 \cos(27^{\circ})[/tex]
[tex]\sf \implies b=106.9207829...[/tex]
Therefore, the base of the right triangle is 106.9207829... miles
To find the extra miles, sum the hypotenuse and the height of the triangle, then subtract the base.
Extra miles = (120 + 54.47885997... ) - 106.9207829...
= 67.55807707...
= 68 miles (nearest mile)
#1
Apply sines
sin27=Perpendicular/Hypotenuse0.45399=P/120P=120(0.45399)P=54.5ft#2
Total distance travelled =120+54.5=174.5ft
Base:-
cos27=B/1200.89=B/120B=120(0.89)B≈106ftExtra distance:-
174.5-10668.5ftFind the surface area
Answer:
pt for the triangles then 2(5x7) and 1(7x6) add it all together
Step-by-step explanation:
[HELP!!!]
Ivy solved a division problem by subtracting and keeping track as shown. Identify the problem she solved.
Answer:
314 / 13 = 24.1538461538
Hope This Helps! :)
All the extra numbers do not have to be included it was just the way my brain works.
What is the value of x in the following equation?
Answer:
B. 15/8
Step-by-step explanation:
[tex]\frac{1}{3} x+7=3x+2[/tex]
[tex]3x-\frac{1}{3}x= 7-2[/tex]
[tex]\frac{8}{3} x=5[/tex]
[tex]x=\frac{5}{\frac{8}{3} }=\frac{(5)(3)}{8}[/tex]
[tex]x=\frac{15}{8}[/tex]
Hope this helps
Classify Each triangle by its angle and sides.
Answer:
8. Scalene 9. Isosceles
Step-by-step explanation:
8) Acute Scalene
9) Right Isosceles
Step-by-step explanation:Triangles can be classified in 3 ways based on their angles: acute, obtuse, and right. There are 3 ways to classify based on sides: scalene, isosceles, and equilateral.
Definitions
Acute - a triangle with 3 acute angles (angles under 90 degrees)
Obtuse - a triangle with 1 obtuse angle (angle greater than 90 degrees)
Right - a triangle with 1 right angle (90-degree angle)
Scalene - a triangle with sides of all different lengths
Isosceles - a triangle with 2 equal sides and angles
Equilateral - a triangle with 3 equal sides
Question 8
From the 2 angles we are given, we can tell that all of the angles are different. This must mean that the sides are also different. Since the sides are different, this must be a scalene triangle. Additionally, the missing angle is 100 degrees; thus, it must be an obtuse triangle.
Question 9
The marks on the 2 sides mean that these lines are equal. Therefore, it must be an isosceles triangle. One of the angles is marked with a box. This means that the angle is 90 degrees. So, it is a right triangle.
Beinggreat78, Answer fast!
Answer:
[tex]I~am~here!!![/tex]
C. ⇒ 2 : 4. This is because 2 may be a multiple of 1, however, 3 is not a direct multiple of 4.
help me oo000-00000of
Answer:
x = 15, y = 5
Step-by-step explanation:
total score of A = 6x
total score of B = 25*8 = 200
total score of C = 20y
(6x+200)/(x+25)=7.25
6x+200 = 7.25x+181.25
18.75 = 1.25x
x = 15
and
(6x+200+20y)/(x+25+20) = (6x+200+20y)/(x+45) = 6.5
plug in x
(290+20y)/60 = 6.5
290 + 20y = 390
20y = 100
y = 5
Brainliest! and LOTS of points, help PLEASE
Complete the missing number problem.
N = 32 ÷ (5 - 1)
N = 32 ÷ _
N = _
Fill in the blanks!
Thank you to the people that answer!!
You select 32 marbles from a bag. The results are as follows: 6 blue marbles, 5 green marbles, 4 red marbles, 8 white marbles, and 9 yellow marbles. Find P(not green).
Answer:
19%, 13% 25% 28%
Step-by-step explanation:
6/32=
19%
5/32=
16%
4/34=
13%
8/32=
25%
9/32=
28%
Select all of the equations that are equivalent to `3x+45=180`.
A. 3 (x + 45) = 180
B. 3 (x + 15) = 180
C. 3 (x + 15) = 60
D. x + 15 = 60
E. 3x = 135
Answer:
Option B and Option D
Step-by-step explanation:
B = 3*x = 3x, 3*15 = 45.
D=3* x + 15.
3x = 135 and x + 15 = 60 are the equations that are equivalent to 3x+45=180
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We have to solve the equation 3x+45=180
Now isolate x on one side of the equation.
We can do this by subtracting 45 from both sides, giving us 3x=135, and then dividing both sides by 3 to get x=45.
Therefore, the equivalent equations are:
3x = 135
x + 15 = 60
Hence, 3x = 135 and x + 15 = 60 are the equations that are equivalent to 3x+45=180
To learn more on Equation:
https://brainly.com/question/10413253
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Multiple Samples
2 of 22 of 2 Questions
Question
Each dot on the dot plot shows the number of people in a 10-person random sample who said they will vote for a certain candidate in a local election.
A dot plot with 10 dots: 1 dot above 4; 1 dot above 5; 1 dot above 6; 2 dots above 7; 3 dots above 8; and 2 dots above 9.
How many samples does the dot plot represent?
Enter your answer as a number, like this: 42
Answer: 10
Step-by-step explanation: Add all the dots
Rachel has given $1000 to put into a savings account. She earns 2% simple interest every month. Rachel hopes to buy a car in 8 months. Help Rachel determine whether she will have enough money if the car will cost $1500. How much money will she be short or long?
Answer:
She is short on money
Step-by-step explanation:
1000 x 2% = 20
20 x 8 = 160
1000 + 160 = 1160
She is $340 short
Answer fast and correctly for brainliest!!!!!
Answer:
B. (5,6)
Step-by-step explanation:
A dilation triples the coordinates which leads to (3,6) then you add 2 to the x value which gets you (5,6)
Can someone please help:)
Answer:
False
Quadrant || contains ordered pairs of the form (Positive number, Negative number
The point (-6,0) is located on the y-axis
The origin is located in Quadrant |.
True
The ordered pair (2,-5.2) is located in Quadrants IV.
To Plot points in Quadrant |||, move left and down from the origin.
Step-by-step explanation:
The ordered pair (2,-5.2) is located in Quadrants IV. True
True, because Quadrants IV contains order pairs of the form of (+,-)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Quadrant || contains ordered pairs of the form (Positive number, Negative number False
False, because Quadrant || contains order pairs of the form (-,+)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The point (-6,0) is located on the y-axis False
False, the abscissa or x-coordinate is −6 and the ordinate or y-coordinate is 0. We know, any point on the x-axis has the form (a,0) and any point on the y-axis has the form (0,a), where a is any number.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The origin is located in Quadrant |. False
Origin always in the middle.
We know, the origin is the point of intersection of the x-axis and the y-axis. That is, when x=0 and y=0, we get the origin.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
To Plot points in Quadrant |||, move left and down from the origin. True
Starting at the origin then move left would give us to Quadrant || and then down would give us Quadrant |||.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Kavinsky
Answer:
True: The ordered pair (2,-5.2) is located in Quadrants IV.
To Plot points in Quadrant |||, move left and down from the origin.
False:
Quadrant || contains ordered pairs of the form (Positive number, Negative number The point (-6,0) is located on the y-axis The origin is located in Quadrant |.
Step-by-step explanation:
Please help!!!!!!!!!! im struggling
Answer:
2
Step-by-step explanation:
If you look at how many lines are lines up at the ten that is the answer
Answer:
2
Step-by-step explanation:
find the quotient of 156.38 and 100.
Answer:
move the decimal two times to the left and you get 1.5638
50 PT REWARD IF U ANSWER RIGHT. NO SPAM!!!!!1
Answer:
height of the tree : 17.63 m
create a proportional equation:
[tex]\hookrightarrow \sf \dfrac{1.85}{39.55-35.4} =\dfrac{h}{39.55}[/tex]
[tex]\hookrightarrow \sf \dfrac{1.85}{4.15} =\dfrac{h}{39.55}[/tex]
[tex]\hookrightarrow \sf (39.55)1.85} =(4.15)h}[/tex]
[tex]\hookrightarrow \sf 4.15h= 73.1675[/tex]
[tex]\hookrightarrow \sf h= \dfrac{73.1675}{4.15}[/tex]
[tex]\hookrightarrow \sf h=17.63072...[/tex]
[tex]\rightarrow \sf h=17.63[/tex]
Answer:height of the tree : 17.63 m
Step-by-step explanation:
Triangle RST is made of points R(-10, 5.6), S(0, 7) and T(-6, -34).
If it is reflected across the x-axis to form triangle R'S'T', enter the coordinates of S'.
Answer:
S'= (0,-7)
Step-by-step explanation:
When reflecting coordinates across the x-axis, you would flip the sign of the y number (x,y) -> (x,-y). So in this case (0,7) -> (0,-7)
Kobe collected data on the weight, in pounds, of 5 different dogs at an animal shelter. The mean of his data was 38, the median was 37, and the mode was 35. Give an example of a data set with these measures of center. Show that your data set meets the requirements
KA YALL ( I think i got one tell me if im corrector not but i need two :)
Answer:
C
Step-by-step explanation:
you can remove the brakets in C and it simplifies down to whats in B
#1 Please answer, i'm timed (EDGE 2022)
The answer is B) [tex]2(\frac{2}{5}x+2) =\frac{4}{5}x+4[/tex]
If it is incorrect it should be D) [tex]2(\frac{2}{5}x+4)=2\frac{2}{5} x+8[/tex]
please help! its for khan academy
Answer:
A=4000
B=560
C=32
Step-by-step explanation:
500*8=4000
70*8=560
8*4=32
Answer:
A = 4000
B = 560
C = 32
574 x 8 = 4592
Step-by-step explanation:
To find the area of A, we must multiply 500 by 8 because those are the dimensions.
500 x 8 = 4000
Therefore, A = 4000
To find the area of B, we must multiply 70 by 8.
70 x 8 = 560
Therefore, B = 560
To find the area of C, we must multiply 4 by 8.
4 x 8 = 32
Therefore, C = 32
To find the total area, we can add the area of A, B, and C together.
4000 + 560 + 32 = 4592
I hope this helps and please mark me as brainliest!
I need help, please if you dont know it that's ok
Answer:
39.25 sq in
Step-by-step explanation:
A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds
The correct option regarding the representation of the second bin on the histogram is given by:
D. at least 2.4 pounds but less than 4.8 pounds.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.The intervals are closed on the left and open on the right.According to the second bullet point, the second bin represents measures of at least 2.4 pounds but less than 4.8 pounds, hence option D is correct.
More can be learned about histograms at https://brainly.com/question/25836450
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Answer:
the answer is D
Step-by-step explanation:
What is the height of the cone.
By examining this image:
⇒ we see a right triangle made up of sidelength of h, 8, and 17
⇒ we know this is a right triangle because there is a little square
⇒between lines of length 8 and h
⇒ which indicates this angle is 90 degrees
⇒ which indicates we have a right triangle
Since we have a right triangle
⇒ we can use the Pythagorean Theorem
Definition of Pythagorean Theorem: square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.*look at the image attached for a better explanation
Now let's form an equation (based on the Pythagorean Theorem)
[tex]h^2 + 8^2 = 17^2\\h^2 = 17^2- 8^2h^2 = 289 - 64 = 225\\h^2 = 225\\h = 15[/tex]
Thus h = 15cm
Hope that helps!
Answer the following about estimating 321/6.
Answer:
A) 300/6. B) Underestimate.
Step-by-step explanation:
321/6 is 53.5
300/6 is 50
and 360/6 is 60.
50 is closer to 53.5 than 60 is so the closest aproximation would be 300/6
PLS help I've been stuck on this for HOURS, I WILL CHOOSE BRAINLIEST
I can't do percent's.
Answer:
121/220 = 55%
88/220 = 40%
66/220 = 30%
The answer would be b
:)
Have an amazing day!!
Please rate and mark brainliest!!!
:( NEED HELP ASAP, WILL CHOOSE BRAINLIEST
Answer:
y=1x or just y=x might be a good line of best fit for this data
Answer:
y=x
Step-by-step explanation:
i just did it on paper sorry if you need to show work but i also double checked on a calculator soo yeah good luck also i just posted a question could you pleaseeee help me on it! or really anyone!
Please help will give brainiest!!! 4. The pathway of a quarter being thrown off a bridge can be modeled by the equation h = -16t2 + 72t + 120. At what time does the quarter reach a height of 50 feet?
2 different questions 2 different answers I’ll give 20 points for whoever answers both right