Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.
y= -13x -57
Step-by-step explanation:
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical. At a point d = 37 meters from the tree, the angle of elevation to the top of the trees
is a = 29° (see figure). Find the height h of the tree. (Round your answer to one decimal place.)
h =
m
d m
Additional Materials
eBook
Answer:
Height of the tree is 40.0 meters.
Step-by-step explanation:
From ΔABC,
m∠ABC = 90°
Since, m∠ABC = m∠CBD + m∠ABD
90° = 6° + m∠ABD
m∠ABD = 90°- 6° = 84°
By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
84° + 29° + m∠BDA = 180°
m∠BDA = 180° - 113°
= 67°
By sine rule in ΔABD,
[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]
[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]
h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]
h = 39.98
h ≈ 40.0 meters
Therefore, height of the tree is 40.0 meters.
The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.
At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).
∠ABC = 90
We have
In ΔABC
∠ABC = ∠CBD + ∠ABD
∠ABD = 90 - 6
∠ABD = 84
By triangle sum in ΔABD, we have
∠ABD + ∠BDA + ∠DAB = 180
∠BDA = 180 - 84 - 29
∠BDA = 67
Then by the sine rule, we have
[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
If the ratio of boys to girls is 1:2 and there are 10 girls in your class, how many boys are there?
Answer:
5
Step-by-step explanation:
divide 10 by 2
Answer:
There are 5 boys in the class
2x−7=−19 x =
x/-3+5=12 x =
3/4x −5=4 x =
estimate 70 divided 30
Answer:
1.4 estimate: 1
Step-by-step explanation:
Jared has 12 more comic books than Zoe. If they have 28 comic books
altogether, find the number of comic books Jared has.
Your answer
Answer:
20 comic books
Step-by-step explanation:
Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.
Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:
[tex]x+x+12=28\\2x+12=28[/tex]
Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:
[tex]2x=28-12\\2x=16\\x=8[/tex]
We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:
[tex]x+12=\\8+12=\\20\\[/tex]
Therefore, Jared has 20 comic books.
I hope this helps! Please let me know if you have any further questions :)
Enter equations one at a time in order to send a line
through the coins to "capture" them.
Answer:
y = x + 3
y = 3x + 1
Step-by-step explanation:
This does it in two equations.
y = x + 3 and y = 3x + 1 equation will send 2 different lines through the coins to capture them
using the slope intercept equation,
y = mx + b
m = slope
b = y-intercept
let's pick 2 coordinate from the graph,
(-2, 1)(-1, 2)
m = 2 - 1 / -1 - (-2) = 1 / 1 = 1
1 = -2 + b
b = 3
Therefore,
y = x + 3
let check for another equation that will work for another line. Let's use the coordinates (-1, -2)(0, 1) to find slope.
Therefore,
m = 1 - (-2) / 0 - (-1) = 3 / 1 = 3
y = 3x + b
1 = 3(0) + b
b = 1
y = 3x + 1
Check here for similar problems: https://brainly.com/question/22490518?referrer=searchResults
Use triangles ABC and A'B'C' for Exercise. Use the coordinates to find the lengths of the sides.
please help is due in 20 minutes
Answer:
AB = 2
BC = 2
A'B' = 6
B'C' = 6
Step-by-step explanation:
PLEASE, PLEASE HELP D:
write the linear equation given :
1. slope = 1/4; y-intercept =7
2. slope = -3; y-intercept = 2/3
3. slope = 2/3; y-intercept = 2/3
4. slope = -2; y-intercept = -1/2
5. slope = -3/4; y-intercept = -3
Answer:
1. y =1/4x + 7
2.y =-3x + 2/3
3. y =2/3x + 2/3
4.y =-2x - 1/2
5.y =-3/4x -3
Step-by-step explanation:
By using the slope- intercept form of the equation, y=mx + b, where m=slope and b=y-intercept, you can substitute the values of slope and the y-intercepts into the formula y=mx + b
Line segment AB has endpoints A(2, -3) and B(-4, 6). What are the coordinates of the midpoint of AB?
Select the fraction that is equivalent to one half.
HOW DO I DO THIS PLZ HELP
Answer:
1/2 one half
Step-by-step explanation:
Answer:
Multiply both the numerator and the denominator by the same whole number.
For example;
If you multiply 1/2 by 2/2, this will equal 2/4. You can simplify 2/4 to 1/2.
So to find 1/2 to be equivalent to another fraction, multiply both the numerator and the denominator by the same number to find a fraction that equals 1/2.
A rectangle measures 6 inches by 15 inches. If each dimension of the rectangle is dilated by a scale factor of 1/3 to create a new rectangle
Find the area of the shape below. All measurements are in miles.
6
8
1
15.23
1
1
The Smiths spend 5% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,300 on entertainment. What was their total budget last year?
Their total budget last year was
Answer:
$44,000 is the total budget
A small box of nails was 10 2⁄8 inches tall. If the large box of nails was 2 2⁄5 inches taller, how tall is the large box of nails? Answer as an improper fraction.
Answer:
253/20
Step-by-step explanation:
what is the answer for y=__x+__
Answer:
y=1/-4x+4
Step-by-step explanation:
hey
Step-by-step explanation:
Slope (x) is rise/run. From one intersecting point to the next, we find it is moving 4 y down and 1 x over. Using this we conclude the slope is -4/1x (or -4x)
The second number in the system is b, or y-intercept. The line intercepts at 4y. If we combine these together, the outcome is y = -4x + 4
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
Translate quadrilateral ABCD 5 units to the right and 6 units down.
What are the coordinates of the vertices of the image?
Please help and give an answer with in depth information. +15 points
Answer:
D. A'(1,-7), B'(2,-1), C'8,-2) and D'(7,-5)
Step-by-step explanation:
Probably too late, but I took the quiz
Answer:
D
Step-by-step explanation:
Keep it simple, but correct :)
Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = 9x2 − 90x − 221
f(x) = -9x2 − 90x − 221
f(x) = 9x2 − 180x + 221
f(x) = -9x2 − 180x − 221
Answer:
the answer is B) -9x2 -90x -221
A fish is 12 Meters below the surface of the ocean. what is it's evelation
answer these questions if ur smart
Answer:ayyyy more free points
Step-by-step explanation: so i can ask questions
\
It costs $3.50 for ¾ pound of chicken. How much does it cost for 1 pound of chicken?
Answer:
£4.38
Step-by-step explanation:
You need to find 1/4 and then add it on
Question 3(Multiple Choice Worth 1 points)
(05.04 MC)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the outlier is included, then the mean is 84. Which statement is always true about the new data when the outlier is removed?
The mean would decrease.
The mean would increase.
The median would decrease.
The median would increase.
Answer:
The mean would increase
Step-by-step explanation:
The mean would increase
78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase
3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
lunch. Her sister Evelyn has $83 in her lunch account, and she spends $4 per day for lunch. In
how many days will Susan's lunch account balance be less than Evelyn's?
Answer:
i may be entirely wrong but evelyn has more days
susan=18
evelyn=20.75 or 21 if rounded
pls help due asap
:..
Answer:
a
Step-by-step explanation:
Find the area of the parallelogram.
Answer:
12
Step-by-step explanation:
12 is the area
Since,
6×2=12
Translate the sentence into an equation The sum of 5 times a number and 7 is 3
Use the variable b for the unknown number
HELPPPPPP
Answer:
Equation: 5b + 7 = 3
Step-by-step explanation:
Unknown number = b
5 times of number = 5b
Sum of 5b and 7 = 5b + 7
Equation;
5b + 7 = 3
Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Melanie performs the experiment 61 times. The results are shown below: A orange chew was selected 38 times. A cherry chew was selected 5 times. A peach chew was selected 18 times. Based on these results, express the probability that the next chew Melanie removes from the bag will be peach chew as a decimal to the nearest hundredth.
Answer:
0.30
Step-by-step explanation:
Given that:
Total number of trials = 61
Number of orange chews = 38
Number of cherry chews = 5
Number of peach chews = 18
Probability that next chew removed will be a peach chew ;
This is an experimental probability problem ;
Using the relation :
Experimental probability of A;
Number of successes (A) / total number of trials
Hence, Probability that next chew removed will be a peach chew ;
Experimental probability of peach chew :
Number of trails = 61 ; number of successes (peach chew) = 18
P(peach chew) = 18 / 61
P( peach chew) = 0.2950819
= 0.30 ( nearest hundredth)
1/2+ p = -3 solve for p
Answer:
-3.5Step-by-step explanation:
1/2+p= -3
p= -3-1/2
p= -3.5
hope it helped? (3
Please please please help!! I need this URGENT
Dan buys a car for £2700.
It depreciates at a rate of 1.4% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years
Step-by-step explanation:
Answer:
£
2516.22
Step-by-step explanation:
£
2516.22
Order the following set of numbers in ascending order (least to greatest): 2.007; 2.714; 2.09; 2.741; 2.07
Answer:
2.007;2.07;2.09;2.714;2.741
Step-by-step explanation:
2.007 is the least and 2.741 is the greatest
Answer: 2.007, 2.07, 2.09, 2.714, 2.741
Step-by-step explanation:
