Answers
For the given triangle, the tan of angle A equals C.
Step-by-step explanation:
Step 1:
For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.
So we need to calculate the value of BC for the given triangle
Step 2:
In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.
To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.
sin A = [tex]\frac{oppositeside}{hypotenuse}[/tex] .
Step 3;
The length of the opposite side = a,
The length of the hypotenuse side = 400 units.
[tex]\sin A=\frac{a}{400}, \sin 25^{\circ}=0.4226[/tex]. So
[tex]0.4226=\frac{a}{400}, a=0.4226 \times 400[/tex] = 169.04 feet.
So the change in elevation is 169.04 feet.
Related Questions
A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 10, negative 8, negative 6, negative 4, negative 2, 0.
Which is an x-intercept of the continuous function in the table?
(0, –6)
(3, 0)
(–6, 0)
(0, 3)
Answers
(3,0)
Explanation:
The x-intercept is the x value when f(x)=0.
On the table, when f(x) is 0 the x value was 3.
Answer:
(3, 0)Step-by-step explanation:
The given table is
x f(x)
-2 -10
-1 -8
0 -6
1 -4
2 -2
3 0
Remember, x-intercept has the form [tex](k,0)[/tex] where [tex]k[/tex] is a real number. In other words, x-intercept are points with a null y-coordinate.
As you can see in the given table, the x-intercept is at [tex](3,0)[/tex].
Therefore, the right answer is the second choice.
The coordinates of triangle BCD are B(8.2), C(11, 13) and D(2,6). Which equality proves that triangle BCD is isosceles? (d =
V(x2-x} + ()2 + y)2)
BC = CD
BC = BD
CD = BD
DB = CB
Answers
Answer:
BC=BD
Step-by-step explanation:
This is the correct answer for Usatestprep
Answer:
BC=CD
Step-by-step explanation:
A farmer has a plot of land
Answers
Answer:
good for the farmer
Step-by-step explanation:
Answer:
He can grow stuff
Step-by-step explanation:
IF IT RIGHT YOU CAN GET 5,000 POINTS AND MARK which of the following pairs of numbers provide the best estimate of Which of the following pairs of numbers provide the best estimate of Which of the following pairs of numbers provide the best estimate of
A.√36 and √64
B.√64 and √81
c.√36 and √49
D.√49 and √64
Answers
Answer:
The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.
Step-by-step explanation:
Since the square root of 53 is: 7.28...
sqrt(36) = 6
sqrt(64) = 8
sqrt(81) = 9
sqrt(49) = 7
Option D would be the best estimate
Answer: The best is Option D, because the number 7.28 is between 7 and 8 which is a good estimate.
Answer:
D
Step-by-step explanation:
A.√36 and √64 = 6 +8
B.√64 and √81 = 8+9
c.√36 and √49 6+7
D.√49 and √64 7+8
The estimate of 53? is below 8 and above 7 so it is D
Please help
14 points up for grab
Answers
Answer:
200
Step-by-step explanation:
separate the two squares
the squares are 10 x 10 so the area is 100
since there are two of the same size squares that means 100 x 2
there ya go
Are these correct? If not help me please??
Answers
Answer: no, no, yes, no, yes, yes
Step-by-step explanation:
x + 1, 2x, these are not equivalent
no
10x, 5(x+5)
5(x+5) distribute the 5 to get 5(x+5) = 5x + 25
5x + 25 is not equal to 10x, so no
no
1 + 2x = 2x + 1, these are equivalent since the constant and coefficients are the same
yes
2x, 2x - 5, these are not equivalent since once has a constant of -5 while the other does not
no
15x -1, 3(x+4x) - (3-2)
3(x+4x) - (3-2) combine like terms
3(5x) - (1) multiply through parentheses
= 15x -1
so 15x - 1 = 3(x+4x) - (3-2), these are equivalent
yes
1/2 * (4x-2),2x-1
1/2 * (4x-2) multiply through parentheses to get
2x - 1
so these two are equivalent
yes
The answer #2 is no and the number #5 is yes.
#2 is no, as you cannot add or subtract if they are not similar. Since in the second part the answer is 5x + 25.
#5 is yes because when there is a subtraction in front of a parenthesis, expressions within the parenthesis must change their sign.
Find the value of each variable using sine and cosine.
Answers
Answer:
Step-by-step explanation:
Sin 50° = [tex]\frac{opposite}{hypotenuese} = \frac{8}{n}[/tex]
[tex]n=\frac{8}{sin 50}[/tex] = 10.44
Cos 50° = [tex]\frac{adjacent}{hypotenuese} = \frac{m}{n}[/tex]
m = n cos 50 = 6.71
The value of each variable using sine and cosine are,
⇒ n = 10.44
⇒ m = 6.71
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in image.
Now, By using trigonometry identity we get;
⇒ sin 50° = Opposite / Hypotenuse
⇒ sin 50° = 8 / n
⇒ n = 8 / sin 50°
⇒ n = 10.44
And,
⇒ cos 50° = Adjacent / Hypotenuse
⇒ cos 50° = m / n
⇒ m = 10.44 cos 50°
⇒ m = 6.71
Thus, The value of each variable using sine and cosine are,
⇒ n = 10.44
⇒ m = 6.71
Therefore, The value of each variable using sine and cosine are,
⇒ n = 10.44
⇒ m = 6.71
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Owen and Jesse go to a restaurant for breakfast. a 7%sales tax is applied to their $21.60 bill.
if Owen and Jesse add a 15% tip after the tip is applied what is the total cost Including tip
Answers
The total cost is about $26.58
The total cost including the sales tax and the tip is approximately $26.58.
The total cost including the sales tax and the tip is calculated as follows:
First, calculate the sales tax by multiplying the bill amount by the sales tax rate:
Sales tax = $21.60 × 7% = $21.60 × 0.07 = $1.512.
Add the sales tax to the original bill to get the total after sales tax:
Total after sales tax = $21.60 + $1.512 = $23.112.
Next, calculate the tip by multiplying the total after sales tax by the tip rate:
Tip = $23.112 × 15% = $23.112 × 0.15 = $3.4668.
Finally, add the tip to the total after sales tax to get the final total cost:
Total cost including tip = $23.112 + $3.4668 = $26.58 (rounded to the nearest cent).
. What is a Golden Rectangle? Why is it important in architecture and art? Look around you right now. Do you see anything that looks like a Golden Rectangle in your classroom?
Answers
Answer:
see below
Step-by-step explanation:
A golden rectangle is one that has an aspect ratio of the "golden ratio". That ratio is an irrational number:
Φ = (1+√5)/2 ≈ 1.618034
This number is the positive solution to the equation ...
x = 1/(x -1)
__
Books have been written about the properties of the Golden Ratio and all the ways it shows up in Nature and in mathematics. For example, the ratios of sequential numbers in the Fibonacci sequence approach the Golden Ratio in the limit.
__
The proportion is often called the "divine proportion" because of the ways it shows up in nature. Some say a rectangle with this proportion is most pleasing to the eye. Hence, it may show up in architecture and art for that reason. A 5×8 photo is approximately this shape.
(The 1.6:1 aspect ratio is one that used for some video screens. It isn't quite as wide as the 16:9 aspect ratio seen more commonly. It is somewhat longer and narrower than the aspect ratio of common paper sizes.)
_____
The attached graph shows rectangles with the proportion of Φ.
A Golden Rectangle is a rectangle with side lengths in the golden ratio (approximately 1:1.618), known for its aesthetically pleasing proportions. Its importance in architecture and art stems from its use to create harmonious and balanced designs. Students often study golden rectangles to improve their understanding of symmetry and composition in art and architecture.
A Golden Rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1 : 1.618. This ratio is also known as Phi. The significance of the golden rectangle in architecture and art lies in its aesthetically pleasing proportions which have been utilised since antiquity. It is believed that the human eye finds shapes and proportions based on the golden ratio to be naturally beautiful.
In architecture and art, the golden rectangle has been used to structure designs with a sense of harmony and balance. Modern artists such as Georges Seurat and Piet Mondrian have integrated the golden rectangle into their works to create compositions that are pleasing to the eye.
When constructing a golden rectangle, students may use a computer drawing program, maintaining its proportions even when resizing it. They can use this golden rectangle as a template over scanned images of Renaissance paintings or their own compositions, incorporating elements such as doorways or windows that conform to its proportions.
By understanding and using the golden rectangle, students can explore symmetry and visually satisfying geometrical forms, enhancing their artistic or architectural work.
which two beverages have a sum of 5/8 of the students votes favorite beverages iced tea 3/8 fruit juice 2/8 water 1/8 soda 2/8 _fraction of student votes
Answers
Answer:
The two beverages can be (iced tea,fruit juice) or (iced tea,soda).
Step-by-step explanation:
Given : Beverages iced tea [tex]\frac{3}{8}[/tex], fruit juice [tex]\frac{2}{8}[/tex], water [tex]\frac{1}{8}[/tex], soda [tex]\frac{2}{8}[/tex].
To find : Which two beverages have a sum of [tex]\frac{5}{8}[/tex] of the students votes ?
Solution :
We have to get the two beverages whose sum became [tex]\frac{5}{8}[/tex] .
The possible ways are
1) Iced tea + Fruit juice = [tex]\frac{3}{8}+\frac{2}{8}[/tex]
Iced tea + Fruit juice = [tex]\frac{5}{8}[/tex]
2) Iced tea + Soda = [tex]\frac{3}{8}+\frac{2}{8}[/tex]
Iced tea + Soda = [tex]\frac{5}{8}[/tex]
Therefore, the two beverages can be (iced tea,fruit juice) or (iced tea,soda).
What are three equivalent ratios for 3 : 3 1/2
Answers
Answer:
6 : 79 : 10 1/212 : 14Step-by-step explanation:
Multiply the given values by any number you like. The results will be integers if the number is even.
×2 gives 3×2 : (3 1/2)×2 = 6 : 7
×3 gives 3×3 : (3 1/2)×3 = 9 : 10 1/2
×4 gives 3×4 : (3 1/2)×4 = 12 : 14
2 prime numbers with the sum of 34
Answers
Answer:
The two numbers are 15 and 19
Sure, the two prime numbers that add up to 34 are 17 and 17.
The two-way table shows data for a florist’s inventory by flower and color. A 5-column table has 3 rows. The first column has entries roses, tulips, total. The second column is labeled red with entries 25, 11, 36. The third column is labeled Pink with entries 8, 14, 22. The fourth column is labeled white with entries 16, 12, 28. The fourth column is labeled total with entries 49, 37, 86. What is the probability that the florist randomly selects a tulip for a bouquet? P(tulip) = StartFraction 11 Over 37 EndFraction P(tulip) = StartFraction 37 Over 86 EndFraction P(tulip) = StartFraction 37 Over 49 EndFraction P(tulip) = StartFraction 49 Over 86 EndFraction
Answers
Answer:
37/86
Step-by-step explanation:
eh
The probability that the florist randomly selects a tulip for a bouquet using the given table is; 37/86
How to find probability from tables?From the given table we see that;
Total number roses = 49
Total number of tulips = 37
Now, we want to find the probability that the florist randomly selects a tulip for a bouquet. Thus;
P(selecting tulip for a bouquet) = total number of tulips/total number of bouquets
Thus;
P(selecting tulip for a bouquet) = 37/(49 + 37)
P(selecting tulip for a bouquet) = 37/86
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Does the equation open up or down?
Y = -3x2 +7x - 2
Answers
Answer:
Opens downward, like a frowning face
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
Since the coefficient of the x^2 term is negative, the parabola makes a frown and opens upside down
Classify a triangle with angle measures of 63 degrees and 27 degrees.
Acute
Obtuse
Right
Not Possible
Answers
Answer:
right
Step-by-step explanation:
The sum of all three angle measures in a triangle will always equal 180 degrees. So, if you subtract 63 and 27 from 180 you will have your third angle measure, which is 90.
So now your 3 measures are 63, 27, and 90. Since one of the angles is a 90-degree angle, the triangle must be a right angle because a right angle has a measure of 90 degrees.
I hope this helps!
Answer:
Right triangle
Step-by-step explanation:
First angle of triangle = 63°
Second angle of triangle = 27°
Third angle of triangle = 180°-(63°+27°) = 90° ∴sum of three angle of triangle is 180°
As one angle is 90°(right angle), therefore it is a right triangle.
Thanks if you help and braknly
Answers
Answer:
Range: 12 - 32 Median: 15
Step-by-step explanation:
The range is pretty simple... It is the lowest number in the set to the highest number in the set. The lowest number is 12 and the highest number is 32.
The median of a set of numbers is the number that's in the middle. This is different from the mean because you're not finding the average, but actually the middle number.
To find the median, order the numbers from lowest to highest...
12, 13, 13, 15, 16, 19, 32
So, the median of this set is 15, because it is the middle number.
3,456,321 rounded to the nearest hundred thousand
Answers
Answer:
3,456,000
Step-by-step explanation:
brainliest please ;)
For what number A does the equation 3Ax - 24 = 5x - 9 + x$ have no solutions for x?
HELLLLPPPP
Answers
Answer:
A=2
Step-by-step explanation:
3Ax - 24 = 5x - 9 + x (simplifying the right side)
3Ax - 24 = 6x - 9
Equating the term x,
It will have no solution when 3A = 6 ⇒ A = 2
To see why:
3(2)x - 24 = 6x - 24
and this can never equate to 6x - 9 and have no solutions for x.
Determine whether the given measures can be the lengths of the sides of a triangle write yes or no
2,2,6
Answers
NO.,the given measures can not be the lengths of the sides of a triangle
Step-by-step explanation
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
so, Find the range for the measure of the third side of a triangle given the measures of two sides.
here given measures are 2,2,6
2+2 = 4 which is less than the third side 6
= 4 < 6
This not at all a triangle.
Hence, the given measures can not be the lengths of the sides of a triangle
SOS help i can't figure out this math problem
Answers
f(x) = 9x^3 + 2x^2 - 5x + 4
g(x) = 5x^3 - 7x + 4
9x^3 - 5x^3 = 4x^3
2x^2 - 0 = 2x^2
-5x - (-7x) = 2x
4 - 4 = 0
FINAL ANSWER:
4x^3 + 2x^2 + 2x
Use the distributive property to write the following expression in expanded form. 3(2x+11y)
Answers
Answer:
6x + 33y
Step-by-step explanation:
3(2x+11y) Distribute the 3 to the 2x and the 11y separately
6x + 33y This is the expression in expanded form.
If this answer is correct, please make me Brainliest!
Answer: 6x+33y
Step-by-step explanation:
a farmers land is separated into sections of size 2 1/7 acres. Suppose there are 2 2/3 such sections. how many acres of land does the farmer own
Answers
Answer:
5 5/7 acres
Step-by-step explanation:
The product is ...
(2 1/7 acres/section)(2 2/3 sections) = (15/7)(8/3) acres = 40/7 acres
= 5 5/7 acres
The farmer owns 5 5/7 acres of land.
The farmer's land amounts to approximately 5.71 acres. The problem involves conversion of mixed numbers to improper fractions and multiplication.
Explanation:The problem involves the concepts of multiplication and fractional numbers in mathematics. If one section is 2 1/7 acres and there are 2 2/3 such sections, you multiply these two amounts to find the total acreage. First, convert the mixed numbers to improper fractions: 2 1/7 becomes 15/7, and 2 2/3 becomes 8/3. Multiply the numerators together (15*8=120) and the denominators together (7*3=21) to get 120/21, which simplifies to about 5.71 acres.
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Tommy wished he practiced more before his violin concert. If he had practiced 1 1/2 more hours one week, he would have averaged 8 hours per week for the four week prior to his concert. How many hours did he practice in the 4 weeks?
Answers
Answer:
30.5 hours
Step-by-step explanation:
If he were to average 8 hours PER week for 4 weeks, his total sum would have been:
8 * 4 = 32 hours
But he fell short of it. By how much?
By [tex]1\frac{1}{2}[/tex] hours!
So, he practiced 1 1/2 hours LESS THAN 32 hours, so his practice time is:
[tex]32-1\frac{1}{2}\\=32-1.5\\=30.5\\=30\frac{1}{2}[/tex]
So, he practiced 30.5 hours in the 4 weeks
Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of 1/36.
An equivalent expression is 65 · 6-7.
Answers
Answer: its d and e
Step-by-step explanation:
What is the solution to the equation x + 14 = 63?
Pleas help
Answers
Answer:
x = 49
Step-by-step explanation:
x + 14 = 63
x = 63 - 14
x = 49
Answer:
49
Step-by-step explanation:
Subtract 14 for both sides
A parachutist's speed during a free fall reaches 70 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 20 seconds of free fall? In your computations, assume that 1meter is equal to 3.3 feet
Answers
Speed is 231 ft/s.
Distance is 4620 ft.
Solution:
First we have to convert the unit of speed from m/s to ft/ s.
Then for 20 seconds, we have to calculate the feet covered by the parachute.
[tex]1 meter $=3.3$ feet\\\\$\frac{70 \frac{m}{s} \times 3.3 f t}{1 m}=231 \frac{f t}{s}$[/tex]
In 20 seconds, the parachute covers the distance of,
[tex]231 \frac{f t}{s} \times 20 s=4620 \mathrm {ft}[/tex]
Which of the following is the minimum value of the function y =
x2 + 6x + 6?
Answers
Answer:
y=8x+6
Step-by-step explanation: Just add the 2x and the 6x together to get 8x, then add 6. All I did was simplify the equation.
Please answer ASAP. If you do I will post a new question and will give you more points.
Answers
Answer:
volume of cube = side × side × side
Step-by-step explanation:
1120 × volume of one cube
1120× (1/8)
1120/8
= 140 units
Hope it helps you
Thanks
Steve os three times as old as Thresa. in four years he will be twice as old as she will be. How old is each one?
Answers
Answer:
Theresa is 4 years old while Steve is 12
The length of a ribbon is 7/ 8 meter. Sun Yi needs pieces measuring 1/ 7 meter for an art project. What is the greatest number of pieces measuring 1 /7 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon?
Answers
To find the greatest number of pieces measuring 1/7 meter that can be cut from a ribbon of length 7/8 meter, divide the length of the ribbon by the length of each piece. The greatest number of pieces that can be cut is 6. Subtract the total length of the 6 pieces from the original length of the ribbon to find how much ribbon will be left.
Explanation:To find the greatest number of pieces measuring 1/7 meter that can be cut from a ribbon of length 7/8 meter, we need to divide the length of the ribbon by the length of each piece. So, 7/8 divided by 1/7 is equal to (7/8) x (7/1) = 49/8 = 6.125. Since we can't have a fraction of a piece, the greatest number of pieces that can be cut is 6. This means 6 pieces measuring 1/7 meter can be cut from the ribbon.
To find out how much ribbon will be left after cutting the 6 pieces, we need to subtract the total length of the 6 pieces from the original length of the ribbon. Each piece measures 1/7 meter, so the total length of the 6 pieces is (1/7) x 6 = 6/7 meter. Subtracting this from the original length, we get 7/8 - 6/7 = 49/56 - 48/56 = 1/56 meter. Therefore, there will be 1/56 meter of ribbon left after Sun Yi cuts the ribbon.
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