Answer:
D. whole numbers, integers, and rational numbers
hope it helps
From A to B a private plane flies 2.8 hours at 110 mph on a bearing of 64 degrees . It turns at point B and continues another 1.7 hours at the same speed, but on a bearing of 154 degrees to point C. Round each answer to three decimal places. a. At the end of this time, how far is the plane from its starting point? b. On what bearing is the plane from its original location?
Answer:
a. 360.323 m
b. [tex]95.265^{o}[/tex]
Step-by-step explanation:
Distance covered from A to B = speed x time
= 110 x 2.8
= 308 m
Distance covered from B to C = speed x time
= 110 x 1.7
= 187 m
The sum of angles at B = [tex]64^{o}[/tex] + [tex]26^{o}[/tex]
= [tex]90^{o}[/tex]
a. The distance of the plane from it starting point to C can be determined by applying the cosine rule.
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
Sot hat;
[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex] - 2(187 x 308) Cos [tex]90^{o}[/tex]
But, Cos [tex]90^{o}[/tex] = 0
So that,
[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex]
= 34969 + 94864
= 129833
b = [tex]\sqrt{129833}[/tex]
= 360.323
The distance from A to C is 360.323 m.
b. Applying the sine rule;
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{Sin90^{o} }[/tex]
[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{1}[/tex]
Sin A = [tex]\frac{187}{360.323}[/tex]
= 0.5190
⇒ A = [tex]Sin^{-1}[/tex] 0.5190
= [tex]31.265^{o}[/tex]
The bearing of the plane from its original location = [tex]64^{o}[/tex] + [tex]31.265^{o}[/tex]
= [tex]95.265^{o}[/tex]
Using the Sine and Cosine rule on the triangle generated using the information given, the distance and bearing of the plane from its original location are :
360.32 mile 95.26°Using the Cosine Rule :
b² = a² + c² - 2abCosBb² = 187² + 308² - 2(187)(308)Cos(90°)
b² = 187² + 308² - 0
b² = 129833
b = √129833
b = 360.32 miles
B.)
Using the Sine rule :
a/sinA = b/SinB = c/SinC
187/sinA = 360.32/sin90
187/sinA = 360.32/1
sinA × 360.32 = 187
sinA = 187 / 360.32
sinA = 0.51898
A = Sin¯¹(0.51898)
A = 31.264
Hence, bearing of C from A = (64° + 31.264) = 95.26°
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Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram.
what is the expression for the area of the new parallelogram???
Answer:
b*h
Step-by-step explanation:
therethere are four sides to a parallelogram and two of them would be h and b and you must multiply that by n then each other
New area:
(b*n) * (h*n) = (b*h)n^2
2y - 7 = 35
A
28
B
21
C
14
D
9
Answer:
Do u know the answer to
Step-by-step explanation:
Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)
A) 3.3 in
B) 6.7 in
C) 7.9 in
D) 9.0 in
Answer:
21
Step-by-step explanation:
2y-7=35
2(21)-7 = 35
42-7= 35
35 =35
1 A camera is capable of snapping 3/4 of a picture per second. How many pictures can be snapped within a 36-second period?
Answer:
27
Step-by-step explanation:
36*(3/4)
I just put that in a calculator so
24 point question
Graph f(x) =1/2x+2
Use the line tool and select two points to graph the line.
Please just give the x, y coordinates because I’ve tried to look at other ones and the way it was explained confused me a bit. Thank you
Answer:
(0,2), (2,3)
Step-by-step explanation:
I know that 0,2 would be a point because it is the constant in the problem, but I am not to sure about 2,3.
lipka reads a book of 1/34 hrs everyday she reads the entire book in 6 days how many hours in all were required by her to read the book
Answer: She needs 10 1/2 hours to read the book.
Step-by-step explanation:I day = 1 3/4 hours
6 days = 1 3/4 x 6
6 days = 7/4 x 6
6 days = 42/4
6 days = 10 1/2 hours
Find the slope (m) and the y intercept please show work
Answer:
m=2/5
b=3.8
Step-by-step explanation:
To find slope you need to use slope formula which is (y2-y1)/(x2-x1) so you need two points from the table and plug them into this. I'll use the first two points (-2, 3) and (-1, 5)
(5-3)/(3--2)
2/5
our slope is 2/5(m)
now to find the y int(b)
we have out slope intercept formula which is y=mx+b
plug in our slope
y=2/5x+b
now take a random point from our tabell and apply it to our equation I'll use (-2, 3) again.
3=2/5(-2)+b
3=-4/5+b
3=-0.8+b
add 0.8 to each side
3.8=b
b=3.8
A hobby shop sells small and large toy cars. A small toy car is $5.50, and a large toy car is $9. What is an equation that relates the cost, Cin dollars
with the number of small toy cars, S, and the number of large cars, L. purchased?
Answer:
C = 5.50S + 9L
.............
The equation that relates the cost, Cin dollars with the number of small toy cars, S, and the number of large cars, L is C = 5.50S + 9L.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A hobby shop sells small and large toy cars. A small toy car is $5.50, and a large toy car is $9.
Let S be the number of a small toy car and L be the number of a large toy car.
The equation can be made:
Total cost:
C = 5.50S + 9L
Thus, the equation that relates the cost, Cin dollars with the number of small toy cars, S, and the number of large cars, L is C = 5.50S + 9L.
Learn more about the linear equation here:
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Solve |x + 3| – 1 = (x + 2)2 by graphing.
Answer:
x= -2, -1
Step-by-step explanation: The solution is the x-value of the point of intersection
I need help pls pls pls pt.2
Answer:
where is the Worksheet
Step-by-step explanation:
there is no Worksheet
Translate the following word sentence into a numerical expression: When you square five times a number, you get three more than the number. Let x be the number. **PLEASE HELP I REALLY DON'T GET THIS AND I ALREADY ASKED MY TEACHER**
Answer:
[tex]5x^{2}[/tex]×3x
what would the answer be?
Answer:
-2y
Step-by-step explanation:
10x+ -2y = 3
-10 -10
-2y = -7
-2 -2
What is the volume of the rectangular prism?
Answer:
180
Step-by-step explanation:
5 time 6 times 6 is 180
GEOMETRY HELP ILL VOTE YOU BRAINLIEST I PROMISE PLEASE
Answer:
x=29
Step-by-step explanation:
4x-18+5x-71=180
9x=269
x=29
Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data with an outlier: 15, 19, 22, 26, 29, 81 How is the median affected by the outlier? The outlier slightly affected the median. The outlier made the median much higher than all the other values. The outlier made the median much lower than all the other values. The median is the exact same number in both data sets.
Answer:
The outlier slightly affected the median.
Step-by-step explanation:
Given :
Data without an outlier: 15, 19, 22, 26, 29
Data with an outlier: 15, 19, 22, 26, 29, 81
The median :
Data without outlier :
0.5(n + 1) th term
n = 5
0.5(5 + 1) = 0.5(6) = 3rd term
3rd term = 22
Data with outlier :
0.5(n + 1) th term
n = 6
0.5(6 + 1) = 0.5(7) = 3.5th term
(3rd term + 4th term) /2
(22 + 26) / 2
48 / 2
= 24
From the result obtained ; The outlier slightly affected the median.
Answer:
A) The outlier slightly affected the median.
Step-by-step explanation:
Without the outlier, the median is 22, and with the outlier, the median is 24. So the outlier slightly affected the median.
Hope this helps :)
What is the value of k in the equation StartFraction k Over 3 EndFraction minus 5 = 34?
[tex]\huge\text{$k=\boxed{117}$}[/tex]
[tex]\displaystyle\frac{k}{3}-5=34[/tex]
To find the value of [tex]k[/tex], we need to isolate it on one side of the equation. Add [tex]5[/tex] to both sides of the equation, then multiply both sides of the equation by [tex]3[/tex].
[tex]\displaystyle\begin{aligned}\frac{k}{3}-5+5&=34+5\\\frac{k}{3}&=39\\\frac{k}{3}*3&=39*3\\k&=\boxed{117}\end{aligned}[/tex]
Find the slope of the line that passes through the points (2, -3) and (5, -4).
2/3(9x-6)= 4x + 10
3
6x-4=4x+10
What is the value of x in the equation?
A X = 7
B X = 8
B X = 3.2
D X = -12
Answer:
the answer will be A. x=7
Your answer should be 7
HELP!!!!!!
The line graphed by the equation, y =2/3 x +1/4 , has a slope of 1/4 and a y-intercept of 2/3. True False
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
Answer:
False; the slope is 2/3 and the y intercept is 1/4
I hope this is good enough:
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?
please healp
Answer:
(96/5) mph, or 19.2 mph
Step-by-step explanation:
Average speed = (total distance traveled) / (total time elapsed)
Here we need to calculate the two elapsed times (going and returning)
Going: t1 = d/(24 mph)
Returning: t2 = d/(16 mph)
Less time is required for the outward bound trip.
16d + 24d
Total time elapsed: t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr
16*24
Thus, the average speed is (total distance traveled) / (total elapsed time)
2d
which here is --------------------- = (96/5) mph, or 19.2 mph
(5/48)d
If we take average speed into account in any direction, it equals (24 + 16) / 2 = 40 / 2 = 20mph.
What is average speed?Average speed is calculated by dividing a number by the time it takes to obtain that number. The SI unit of speed is meters per second.The average speed is represented by a scalar value. The magnitude indicates its absence of direction.Since this distances were the same, the average speed can be calculated directly by adding the speeds and dividing by 2. There is no need to weigh anything.If we consider speed in any direction, the average speed is:
(24 + 16) / 2 = 40 / 2 = 20mph
However, if direction is important, one number must be negative because the directions are opposite:
(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)
Depending on the circumstances, either of these could be your response.
To learn more about average speed, refer to:
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How many terms are in the algebraic expression 3x^2 + 4y - 1
Answer:
3
Step-by-step explanation: There are 3 terms there
Answer:
3Step-by-step explanation:
The terms of this given expression are 3x^2, 4y and 1. Thus, there are three terms.
Can someone please help me!?!?!?
3. Alt. Interior Angles
4. definition of midpoint
which expression has the same value as 7 ÷ 9/10
A) 7 x 10/9
B) 1/7 ÷ 910
C) 7 x 9/10
D) 1/7 ÷ 10/9
Answer
A.) 7* 10/9
When you divide fraction you change the symbol and flip the fraction and A is that equation.
Answer:
7 ÷ 9/10 = 7.777
a. 7 × 10/9 = 7.777
b. 1/7 ÷910 = 0.000
c. 7 × 9/10 = 6.3
d. 1/7 ÷ 10/9 = 0.128
therefore the answer is a
Step-by-step explanation:
Hope this helped!!! have a wonderful day!! :):):):)
4. How do you solve x2 + 9x - 3 = 0 using the completing-the-square method?
Answer:
i used to have a problem with this
Step-by-step explanation:
URGENT!! I WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
find the length of side x in simplest radical form with a rational denominator
Answer:
x = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
Because of 45 45 90 triangle rule, we can see that the length opposite of the right angle is [tex]\sqrt{6}[/tex]. Using the 45 45 90 triangle rule, the side opposite to the right angle is x[tex]\sqrt{2}[/tex]. Then we solve for x and get x=[tex]\sqrt{3}[/tex].
Hope this helps and have a nice day!
Question 5 points)
Determine if the two triangles shown are similar. If so, write the similarity statement.
A) ASUD - ATUE
B) ASUD - AEUT
C) Impossible to determine.
D) The triangles are not similar
triangles are not similar
Answer:
The triangles are not similar
Step-by-step explanation:
cuz it ain't duhhhhh
3.7(x−5.9)=−26.64
help
Answer: -1.3
Step-by-step explanation:
What is 0.8 as a fraction?
Answer:
8/10
Step-by-step explanation:
Answer: 0.8 = [tex]\frac{4}{5}[/tex]
Step-by-step explanation: We need to change 0.8 into a fraction.
0.8 = [tex]\frac{8}{10}[/tex]
[tex]\frac{8}{10}\\[/tex] = [tex]\frac{4}{5}[/tex]
Therefore, your answer is [tex]\frac{4}{5}[/tex]
hope this helps!
lovelymoonlight
U GET BRAINLIEST IF U ANSWER
WHICH ONES ARE POSITIVE OR NEGATIVE SUMS
–5 + (–2)
Choose...
5 + (–2)
Choose...
-3 + 4
Choose...
0 + (–3)
SPACE THEM OUT SO I KNOW
THANKSSSSSSSSSSS
Answer:
Below :)
Step-by-step explanation:
-5+(-2)= -7
5+(-2)= 3
-3+4= 1
0+(-3)= -3
1 and 4 are negative sums, 2 and 3 are positive! :)
Answer:
-5+(-2) will be -7 so negative sum
5+(-2) will be 3 so postive sum
-3+4 will be 1 so postive sum
and finally 0 + (-3) is -3 so negative sum
hope this helps!
Independent Practice : Rectangular Prism
GRAHAM CRACKERS A manufacturer wants to double the volume of the graham cracker box.
The manufacturer will either double the height or double the width.
GRAHAM
CRACKERS
a. Which option uses less cardboard? Justify your answer.
h 9 in
w 2 in
16 in.
b. What is the volume of the new graham cracker box?
Answer:
a). Amount of cardboard required will be less when manufacturer doubles the width.
b). Volume of the new cracker box = 216 in³
Step-by-step explanation:
Volume of the Graham cracker box = volume of the rectangular prism formed
= Length × Width × Height
= 6 × 2 × 9
= 108 in³
a). To double the volume of the rectangular prism, manufacturer either doubles the height or doubles the width.
When manufacturer doubles the height,
Amount of cardboard required = surface area of the rectangular prism
= 2(lw + wh + hl)
= 2(6×2 + 2×18 + 18×6)
= 2(12 + 36 + 108)
= 2(66)
= 132 in²
When manufacturer doubles the width,
Surface area of the rectangular prism = 2(6×4 + 4×9 + 9×6)
= 2(24 + 36 + 54)
= 2(114)
= 228 in²
Therefore, amount of cardboard required will be less when manufacturer doubles the width.
b). Volume of the new Graham box = 2(Volume of the old box)
= 2 × 108
= 216 in³