The horizontal distance between zack and the water fountain will be 141.05 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Zack is standing at the top of a lookout tower and spots a water fountain below. If the lookout tower is 75 feet tall and the angle of depression is 28°.
Then the horizontal distance between zack and the water fountain is given as,
tan 28° = 75 / x
x = 75 / tan 28°
x = 75 / 0.5317
x = 141.05 feet
The horizontal distance between zack and the water fountain will be 141.05 feet.
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After 10 minutes a place was 75 miles
from Chicago, after 17 minutes it was
138 miles from Chicago. What is the
plane's average speed (miles per min)?
The humidity dropped an average of 1⅓% each hour over the last six hours. What was the total change in humidity?
Answer:
-8%
Step-by-step explanation:
Given : The humidity dropped an average of each hour over the last six hours.
which can be written as
Then , the total change in humidity in 6 hours will be:-
Hence, the total change in humidity = -8%
Find the exact value of Cosine (alpha + beta) given sin Alpha = two-fifths for Alpha in Quadrant II and Cosine Beta = one-third for Beta in Quadrant IV.
The exact value of cos (α + β) is (4√2-21) / 15.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Given that,
Sin α = 2/5, and α is in second quadrant,
cos β = 1/3 , and β is in fourth quadrant
Since, α is in second quadrant, the value of cos α will be negative.
The value of cos α, by right angle triangle property,
cos α = -√21 / 5
Since, β is in the fourth quadrant, the value of sin β will be negative.
The value of sin β = - 2√2 / 3
Cos (α + β) = cos α.cos β - sin α. sin β
Substitute the values here,
Cos (α + β) = (-√21 / 5) . 1/3 - 2/5. ( - 2√2 / 3)
= -21/15 + 4√2/15
= (4√2-21) / 15
The value of cos (α + β) is (4√2-21) / 15.
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Answer:
D
Step-by-step explanation:
There is actually 2 questions
a farmhouse shelters 23 animals some of them are ducks and the others are goats . altogether these animals have 62 legs. find how many ducks and goats are in The farmhouse.
in a coin Bank , there are 104 dime and quarters worth a total of $14 . how many of each type of coins are in the bank .
Answer:
not sure but i need points
Step-by-step explanation:
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Minutes for Sarah
to Reach School
38
27
25
26
17
On which day did Sarah reach school in the
shortest amount of time?
How many minutes more did Sarah take to
reach school on Monday than on Thursday?
Answer:
Step-by-step explanation:
Sickbed yeah dondrn lake
There are 1,300 students in Grant Middle School, if the ratio of boys to girls is 6:7, how many students are boys and how many students are girls?
Answer:
Step-by-step explanation:
600 boys 700 girls you can see that 6+7=13 and since it is 1300 we just multiply the ratio by 100 to get the numbers 600 and 700.
What is the slope-intercept equation of the line below?
y-intercept = (0-2)
slope = -1
Answer:
y = -1x -2
Step-by-step explanation:
Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get correct?
Give your answer in its simplest form
Answer:
48/64
Because 48 out of 64
Answer:
3/4 of the marks he got correct
Write an expression in standard form for
the area of the rectangle.
4x - 1
+
2x + 5
Answer:
6x +4
Step-by-step explanation:
add or subtract like terms
describe fully the single transformation which takes shape A to shape B
Answer:
You need to show us the shapes first bro
Step-by-step explanation:
Write the equation of a line that is
parallel to y = 0.5x + 6 and
passes through the point (6, -2).
Answer:
[tex]y=0.5x-5[/tex]
Step-by-step explanation:
Since the equation is parallel, this means that the slope remains the same which is 0.5.
The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.
[tex]-2=0.5(6)+b[/tex]
When solving for b, it will equal to -5.
Therefore the new equation that is parallel is [tex]y=0.5x-5[/tex]
The equation of a line parallel to y = 0.5x + 6 and passes through the point (6, -2) is y = 0.5x + 1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines parallel to each other have the same slope.
The given line can be written as y = 0.5x + 6.
Therefore, The required line also has a slope of 0.5 passing through the point (6, -2).
- 2 = 0.5×6 + b.
- 2 = - 3 + b.
b = 1.
So, y = 0.5x + 1.
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what is 4\5 equal ?\20 round by tens
Answer:
16/20
Step-by-step explanation:
Bryant collected 2 pounds of newspaper for the recycling drive. Luther collected 3 7/8 times as much newspaper as Bryant. How many pounds of newspaper did Luther collect?
Answer:
Luther collected 7.75 pounds of newspaper
Step-by-step explanation:
2 times 3.875
7.75
Zorba ate 75% of his carrots. He started with 24 carrots. How many carrots are left?
Answer:
6
Step-by-step explanation:
75% of 24=18
24-18=6
i’m pretty sure it’s 18 carrots left
Find the slope between (9,-2) and (-1,5)
Answer:
7/-10
Step-by-step explanation:
subtract
5-(-2) = 7
-1-9 = -10
Answer:
The slope is -0.7 or -7/10
Step-by-step explanation:
For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7
I hope that this helps! :)
What is the value of x in the equation: 3x – 5x + 10 = 36
Answer:
-13
Step-by-step explanation:
3x-5x+10=35
-2x+10=36
-2x=36-10
-2x\-2=26\-2
x=-13
-6=8x-14 show all steps please
Answer:
1=x
Step-by-step explanation
Add 14 to both side(because it is opposite)
-6=8x-14
+14 +14
8=8x
Divide both sides by 8
8/8=8x/8
1=1x(or just 1=x)
The answer will be X=1.
Please help I don’t get it
Answer:
the answer is y= 3/4x+2
Step-by-step explanation:
the y intercept is your constant term, which is 2. Your slope is how much the line is incresing with every x. Hope this helped xxx
Y-y1 = m(X-x1)
Y-2 = -3/4 (X-0)
Y-2 = -3/4x
Y = -3/4x + 2
50°
(x + 16)
Please help
Answer:
50o • (x + 16)
Step-by-step explanation:
it stays the same.
Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b =10?
A. The slope 3/5 ·
B. The slope 5/3 ·
C. The slope - 3/5 ·
D. The slope - 5/3 ·
If f(x)=5X^3 - 2 and g(x)= x+1, find (f-g)(x) A. 5x^3+1 B. 5X^4-2 C. 5x ^3-x-1 D. 5x^3-x-3
(f * g)(x)=(5x^3)*(x+1)=5x^4 +5x^3
3Hg(NO3)2
Please help me with this
Answer:
whats the question
Step-by-step explanation
what do i gotta do??
what is 5 plus 2 it is 7
Answer:
The answer is 7.
Step-by-step explanation:
5 + 2 = 7
I hope this helps! If it did, please consider rating and pressing thanks! Have a good day.
Answer:
7
Step-by-step explanation:
HELP ASAP PLEASESSSSS
Find the area of a rectangle with length of 3 inches and width of 8 inches.
Area = _____ square inches.
Answer:
24
Step-by-step explanation:
3*8=24 Inches^2
Answer: 24 sq. In.
Step-by-step explanation: area of a rectangle is l x w, or ab
Help me please ..............
Answer:
NVIDIA GeForce RTX 3080 10GB GDDR6X PCI Express 4.0 Graphics Card
Step-by-step explanation:
Write the statement below as a math expression
twice the difference of a number and eight
A.
2n+8
B.
2n-8
C.
2(n+8)
D.
2(n-8)
helpppp pleaseeeeeeeeeee
Answer:
y=5
Step-by-step explanation:
if the slope is 0, its just a horizontal line passing through 7,5
have a good day lovely :)
The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. Use this information to describe how to draw the line on a graph.
Brainliest
Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.
Answer:
the answer and work if you needed work shown.
Step-by-step explanation:
25 POITNS Suppose a six-sided die has one side numbered with a 9, two sides numbered with a 10, two sides numbered with an 8, and one side numbered with an 11.
What is the expected value of a die roll on this die?
Enter your answer as a number, rounded to two decimal places if necessary, like this: 42.53
Answer:
9.33
Step-by-step explanation:
hope that helps!
DO NOT IGNORE..can we combine a high quality of life with environmental sustainability?
Answer:
Therefore, sustainable development aims at sustaining the present level of resources and providing the present generation with good quality life where good quality of life refers to standard living with all necessary and basic needs.
Step-by-step explanation: