The height of the redwood tree can be determined through trigonometry, using the tangent of the angles given and the distances provided. The height of the tree from point B is found to be 1.8 feet, and the total height of the tree from point A is found to be approximately 30.9 feet.
Explanation:In this question, we can use trigonometry to solve the problem. From point B, we see two angles. The smaller angle, 85.8°, is the angle from the line extending to the tree and line AB, and the greater angle is 90°. Therefore, the angle between the line extending to the top of the tree and line AB is (90-85.8)= 4.2°.
Using the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle, we can solve for h. Tan 4.2° = h/24.8 feet. Solving for h gives us h = 24.8 feet * tan 4.2°. Using a calculator, we find that h is approximately 1.8 feet.
Similarly, let's calculate the height from point A. From point A, the angle of elevation to the top of the tree is 10.4°. The distance from the tree to point A is the sum of the length of AB (24.8 feet) and the length from B to the tree (h/tan 85.8°). So, the total height of the tree is h (from point B) + distance from A to the tree * tan 10.4°. This calculation gives us h = 1.8 feet + (24.8 feet + 1.8 feet/tan 85.8°)*tan 10.4°. After doing the calculations, we find that the height of the tree is approximately 30.9 feet when rounded to one decimal place.
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Which is a simplified form of the expression -9(g + 2) – (g + 2)? A. -10g + 2 B. -10g – 2 C. -10g + 20 D. -10g – 20
Answer:
-10 (g + 2) thus a:)
Step-by-step explanation:
Simplify the following:
-9 (g + 2) - (g + 2)
-9 (g + 2) - (g + 2) = -10 (g + 2):
Answer: -10 (g + 2)
find the greatest common factor of 3y^2 -4y
Answer:
y.
Step-by-step explanation:
y is common to both terms so the GCF is y.
Factoring we get:
y(3y - 4).
Answer:
Step-by-step explanation:
3y^2 = 3 * y *y
4 y = 4 * y
GCF = y
3y^2 -4y = y*(3y - 4)
A laptop is $891.99 before sales tax. If the sales tax rate is 7.5%, find the total of the laptop WITH the sales tax included.
Answer:
958.88925
Step-by-step explanation:
the percentage of tax is that much of the total price. if there is 50% sales tax (unrealistic) and the item costs 100 dollars without any tax, then the tax would be 50 dollars. To find this, turn the percent into a decimal (move the decimal place to the left twice) and multiply that by the price. To do this with this problem, use this strategy. 891.99 times 0.75= 66.89925+891.99=958.88925. might need to be simplified tho, hope this helps
(4,0) reflected across x axis and y axis
Answer:
The x axis is horizontal (sideways) while the y axis is vertical (up and down)
Step-by-step explanation:
are y=2x+6 and 6t=2x+9 perpendicular
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x+9 y = 2 x + 9 must have a slope that is the negative reciprocal of the original slope.
Missing: 6t= | Must include: 6t=
Four research teams each used a different method to collect data on how
fast a new brand of paint dries. Assume that they all agree on the sample size
and the sample mean (in minutes). Use the confidence level; confidence
interval) pairs below to select the team that has the smallest sample
standard deviation.
O
A. Confidence Level: 99.7%; Confidence Interval: 42 to 48
B. Confidence Level: 95%; Confidence Interval: 40 to 50
O
C. Confidence Level: 95%; Confidence Interval: 35 to 55
D. Confidence Level: 68%; Confidence Interval: 44.5 to 45.5
Answer:
Option D.
Step-by-step explanation:
Recall that the wider the confidence interval, the greater the variability.
In other words, wider confidence interval will have bigger sample standard deviation.
For option A, the width is |48-42|=6
For option B, the width is |50-40|=10
For option C, the width is |55-35|=20
For option D, the width is |45.5-44.5|=1
Therefore the team in option D has the smallest sample standard deviation.
As for the confidence level, it is just telling us the extent to which we confidence that, the parameter is within the interval
Answer: D
Step-by-step explanation:
if 8 and 15 are two smallest values in a pythagorean triple, what is the largest value, c, in the triple
Answer:
c = 17
Step-by-step explanation:
Use the Pythagorean Theorem to solve this problem.
The equation is a² + b² = c².
"a" and "b" are the length of the two shorter sides or values.
"c" is the length of the longest side or value, also the hypotenuse.
Since we know the two smaller values, we can replace "a" and "b" with 8 and 15. It does not matter which letter you decide to replace with which number.
Then simplify and isolate "c" to find the largest value.
a² + b² = c²
8² + 15² = c² Substitute "a" and "b". Square the numbers to simplify
64 + 225 = c² Add to simplify
289 = c²
√289 = √c² Square root both sides
√289 = c "c" will be isolated because √ and ² are reverse operations
c = √289 Put 'c' on the left side for standard formatting.
c = 17 Answer
Therefore the largest value, c, is 17 in the triple.
Final answer:
Using the Pythagorean theorem, a² + b² = c², we find that the largest value in the Pythagorean triple with the smallest values 8 and 15 is 17.
Explanation:
If 8 and 15 are the two smallest values in a Pythagorean triple, we can use the Pythagorean theorem to find the largest value, often denoted as c, in the triple. The formula for the Pythagorean theorem is a² + b² = c². Solving for c gives us c = √(a² + b²).
Using 8 as a and 15 as b, we can substitute these values into the equation:
c = √(8² + 15²)
c = √(64 + 225)
c = √289
c = 17
Therefore, the largest value in the Pythagorean triple is 17.
A turboprop plane flying with the wind flew 400 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the plane in calm air and the rate of the wind.
Answer:
Rate of the plane in calm air is 90 miles/hr and rate of the wind of wind is 10 miles/hr
Step-by-step explanation:
Average speed of plane in with wind = 400 /4 = 100 miles/hr
Average speed of plane against wind = 400/5 = 80 miles/hr
Consider the speed of plane in wind be x miles/hr and speed of plane against wind be y miles/hr
As such speed of plane in wind would be x + y miles/hr and speed of plane against wind would be x - y miles/hr . i.e
x+y = 100
x-y = 80
by solving these two equation, we get
2x=180
x= 90 miles/hr
y=100-90
y= 10 miles/hr
hence, Rate of the plane in calm air is 90 miles/hr and rate of the wind of wind is 10 miles/hr
10. Write an equation in slope-intercept form for a line that is parallel to the line
y= 2/5x +1
If two lines are parallel to each other, then they have the same slope, but different y-intercepts.
So any y-intercept works basically
You could do y=2/5x+2 if you wanted or y=2/5x-7 or something like that
Hope this helped.
Anna departs from the city A with coordinates (1, 1) towards city B with coordinates (9, 11). At the same time, Mary departs from city B towards city A. Find the coordinates of point C, where Anna and Mary meet, if the ratio of Anna to Mary's rates is 3:5 respsectivley
Answer:
C = (4, 4.75)
Step-by-step explanation:
Point C will divide segment AB into the ratio 3:5, matching the respective rates of travel. Then the location of point C can be found from ...
C = (5A +3B)/(3+5)
C = (5(1, 1) +3(9, 11))/8 = (5 +27, 5 +33)/8 = (4, 4.75)
The point where Anna and Mary meet is (4, 4.75).
Answer:
4, 4.75
Step-by-step explanation:
Which best describes the range of the function f(x) = 2(one-fourth) Superscript x after it has been reflected over the y-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0
"All real numbers greater than 0" best describes the range of the function after it has been reflected over the y-axis ⇒ 3rd answer
Step-by-step explanation:
The form of the exponential function is [tex]f(x)=a(b)^{x}[/tex], where
a is the initial value (value f(x) at x = 0)b is the growth/decay factorThe domain of the function is {x : x ∈ R} (all real numbers)The range of the function is {y : y > 0} (all positive real numbers)∵ [tex]f(x)=2(\frac{1}{4})^{x}[/tex]
- Compare it with the form above
∴ a = 2 ⇒ initial value
∴ b = [tex]\frac{1}{4}[/tex] ⇒ decay factor because its between 0 and 1
∵ The domain of the function is the values of x
∴ The domain of the function is {x : x ∈ R} ⇒ all real numbers
∵ The range of the function is values of y
∴ The range of the function is {y : y > 0}
∵ Reflection over the y-axis change the sign of x
∴ The image of f(x) is [tex]y=2(\frac{1}{4})^{-x}[/tex]
- That means, all x-coordinates of the points on the graph
opposite in signs, but that does not effect the domain
because the domain is all real numbers
∵ There is no change of the sign of y
- That means reflection over y-axis does not effect the range
∴ The range of the function after reflection is the same as the
range of f(x)
∴ The range of the image of f(x) is {y : y > 0}
"All real numbers greater than 0" best describes the range of the function after it has been reflected over the y-axis
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Answer:
C
Step-by-step explanation:
edge 2020
number 24 only A B C and D
Answer:
a) V = 288 - h
b) (0,288)(1,276)(2,264)(3,252)(4,240)
c) graph the above point
d) Volume decreases as height increases
Step-by-step explanation:
Step 1 :
a)
The given equation is V = 12(24-h)
Using the distributive property we have
V= 12*24 - 12 * h = 288-h
b)
The ordered pairs (h,V) can be obtained by giving different values for h and computing the corresponding V values
When h = 0 ,V= 288 -0= 288
When h = 1 ,V= 288 -12*1= 276
When h = 2 ,V= 288 -12*2= 264
When h = 3 ,V= 288 -12*3= 252
When h = 4 ,V= 288 -12*4= 240
Hence the ordered pairs are (0,288)(1,276)(2,264)(3,252)(4,240)
Step 3 :
The above points can be graphed using the values of h in the x axis and the values of V in the y axis
Step 4:
The above equation shows that the value of the volume V decreases as the value of h increases and becomes negative for values of h >24
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
V = one-third pi (7 squared) (4) feet cubed
V = one-third pi (4 squared) (7) feet cubed
V = 3 pi (7 squared) (4) feet cubed
V = 3 pi (4 squared) (7) feet cubed
Answer:
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
Answer:
B
Step-by-step explanation:
Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?
A $750,000
B $75,000
C $15,000
D $1,500
3x+6y=24 turned into a graphing equation
Answer:
Step-by-step explanation:
3x + 6y = 24
6y = -3x + 24
y = -3/6x + 24/6
y = -1/2x + 4 <=====
Jeff has ten packages that he wants to mail. Nun identical packages weigh 2 7/8 pounds each. A tenth package weighs two times as much of one the nine packages. How many ponds do all packages weigh?
Answer:31.625
2 7/8 8 times 9 =25.875 +(2.875 times 2) =31.625
A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working
Final answer:
To determine the probability of drawing one red bead and one white bead from a bag, calculate the probability of each sequence (red then white, white then red) occurring and add them together. The result is that the probability that one bead of each color is taken is 4/11.
Explanation:
To find the probability that one red bead and one white bead are taken from a bag containing 7 red beads and 4 white beads (11 beads in total), we follow these steps:
Calculate the probability of drawing one red bead first and then one white bead.
Calculate the probability of drawing one white bead first and then one red bead.
Add the probabilities from step 1 and 2 together to find the total probability of drawing one bead of each color.
The probability of drawing one red bead first is 7/11 since there are 7 red beads out of 11 total beads.
After drawing a red bead, there are now 10 beads left in the bag, with 4 being white. So, the probability of drawing one white bead next is 4/10.
Multiplying these two probabilities gives us the probability of this particular sequence occurring: (7/11) * (4/10) = 28/110, which reduces to 2/11 when simplified.
We do a similar calculation for the reverse sequence, where a white bead is drawn first followed by a red bead. The probability for the first white bead is 4/11, and for the red bead after that, it's 7/10 since one white bead is already taken.
Multiplying these probabilities gives us: (4/11) * (7/10) = 28/110, which also simplifies to 2/11.
Finally, to find the total probability we add the probabilities of both sequences together: 2/11 + 2/11 = 4/11.
So, the probability that one bead of each color is taken is 4/11.
Which expression is equivalent to -2(3a + 6b) + (4a - 2b)?
A) -2(a + 7b)
B) -2(a - 7b)
C) 2(a + 7b)
D) 2(a - 7b)
Answer:
Option A) -2(a+7b) is correct
Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)
The equivalent expression to the given expression is -2(a+7b)
Step-by-step explanation:
Given expression is -2(3a+6b)+(4a-2b)
To find the equivalent expression to the given expression :
-2(3a+6b)+(4a-2b)
=-2(3a)-2(6b)+4a-2b ( apply the distributive property a(x+y)=ax+ay )
=-6a-12b+4a-2b
=-2a-14b ( adding the like terms )
=-2(a+7b) ( taking common term -2 outside )
Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)
The equivalent expression to the given expression is -2(a+7b)
Therefore option A) -2(a+7b) is correct
so the right option is A.
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8. An 18-foot ladder is placed 5 feet from a wall. How far up the wall does the ladder
reach?
Answer: is it 13 feet up?
What percent of $4 equals $1
Answer:
25%
Step-by-step explanation:
25% is 1/4(one-fourth)
4 dollars times 1/4 is 1 dollar.
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?
Answer:
a^2-9ab+3ab^2
Step-by-step explanation:
Solved on paper so i can't show work but I did it properly i swear
Answer:
if you found this off edge its Option B
Step-by-step explanation:
the altimeter in a plane
what is 5 times 5
and also what is 5 plus 5 bc im rly silly
Answer:
5 x 5 = 25 and 5 + 5 = 10
Step-by-step explanation:
You multiply 5 Five times.
So you get 5,10,15,20,25!
The answer is 25
You add 5 two times.
So you get 5 plus 5!
5,6,7,8,9,10!
The answer is 10
Hope this helped!
~Oreo!!
Answer:
5x5=25
5+5=10
Step-by-step explanation:
Consider the function f(x)=√2x−6. If f−1(x) is the inverse function of f(x), find f−1(−4).
To find the inverse function f−1(x) for f(x)=√(2x−6), we first express f(x) as y, swap x and y, remove the square root by squaring both sides, solve for y, and substitute -4 into the new expression. This calculation reveals that f−1(-4) is 11.
Explanation:To find the value of f−1(-4) for the function f(x)=√(2x−6), we need to find the value of x such that f(x) equals -4. Here is how to find the inverse function:
First, replace f(x) with y: y = √(2x−6).Next, swap x and y to begin finding the inverse: x = √(2y−6).Square both sides to eliminate the square root: x² = 2y − 6.Rearrange the equation to solve for y: 2y = x² + 6.Divide both sides by 2: y = (x² + 6)/2.This new y is actually f−1(x), the inverse function.To find f−1(-4), substitute -4 into the inverse function:
y = ((-4)² + 6)/2
y = (16 + 6)/2
y = 22/2
y = 11
Therefore, f−1(-4) = 11.
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To find f−1(−4) for the function f(x) = √(2x − 6), solve for x in terms of y, square both sides, solve for x, and then substitute the value to find that f−1(−4) equals 11.
To find the value of f−1(−4) for the function f(x) = √(2x − 6), follow these steps:
Solve for x in terms of y by setting y = f(x):
y = √(2x − 6)
Square both sides to eliminate the square root:
y2 = 2x − 6
Solve for x:
x = (y2 + 6) / 2
Replace y with x to get f−1(x):
f−1(x) = (x2 + 6) / 2
Now, find f−1(−4):
f−1(−4) = (−42 + 6) / 2 = (16 + 6) / 2 = 22 / 2 = 11
Thus, the value of f−1(−4) is 11.
I need 152 pencils and each pencil cost $2.00 each box comes with 5 pencils each.how many pencils will it take to get 152
For this case we have that each pencil box has 5 pencils, so:
[tex]\frac {152} {5} = 30.4[/tex] pencil boxes, this can be rounded to 31 pencil boxes.
On the other hand, if we have each pencil cost $2 then:
[tex]152 * 2 = 304[/tex]
Thus, the 152 pencils cost $304
Answer:
31 pencil boxes
152 pencils cost $304
How do you use a calculator
Answer
Push in the numbers you want to find the answer to and click the equal sign.
Answer:
First, you get a calculator or open a calculator app on you computer. Second, you press in any number you like. Ex. 125. (There are limits of how many digits can go in a calculator). Third, You press symbols on the calculator. Ex. %, - + etc. Fourth, You press the equals sign. ( = ) You can add numbers and symbols on your total. Warning: If you want a quotient with a remainder, don't use a calculator. It'll give you a decimal. Not a quotient with a remainder.
I hope this helps and could you give me the brainiest if possible? Thanks. : )
Step-by-step explanation:
3(-3a-1) what is the answer if you answer it correct you get 10 points
Answer: the best answer is 3(-3a-1)
Step-by-step explanation:
The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of flour, and 5/2 cup of chocolate chips. What is the total number of cups of ingredients needed in making chocolate cookies?
Answer:
[tex]\frac{51}{8}[/tex] cups.
Step-by-step explanation:
It is given that the ingredients for making chocolate cookies are [tex]\frac{3}{4}[/tex] cup of brown sugar, [tex]\frac{1}{4}[/tex] cup of white sugar, [tex]\frac{3}{2}[/tex] cup of butter, [tex]\frac{11}{8}[/tex] cup of flour, and [tex]\frac{5}{2}[/tex] cup of chocolate chips.
Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.
So, it will be given by
[tex](\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2})[/tex] cups
= [tex]\frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8}[/tex] cups
= [tex]\frac{51}{8}[/tex] cups. (Answer)
A circle has a diameter of 7.6feet. Which measurement is the closest to the circumference of the circle in feet.
Answer:
23.9
Step-by-step explanation:
A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet?
TRUST ME
Which would be a reasonable first step in solving the equation 6(x+4)=75
Answer:
x = 8 3/6
Step-by-step explanation:
6(x+4) = 75
6X+24 = 75
-24 = -24
6x -0 = 51
6x/6 = 51/6
x = 8 3/6
The first step in solving equation is divide by 6 both side and x = 8.5.
What is simplification?To simplify simply means to simplify something. Simply or simplification in mathematics refers to simplifying an expression, fraction, or problem. By writing the fraction in its simplest or lowest form and canceling all common factors from both the numerator and denominator, it simplifies fractions and makes the problem easier to solve.
Given 6(x + 4) = 75
divide both side by 6
(6(x + 4))/6 = 75/6
x + 4 = 12.5
subtract 4 from both sides
x + 4 - 4 = 12.5 - 4
x = 8.5
Hence value of x is 8.5 and first step in solving the equation is divide by 6.
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