8. A tree on a 30° slope grows straight up. What are the measures of the
greatest and smallest angles the tree makes with the hill? Explain.
Answers
the slope makes a 30-degree w/ the horizon, then we can draw it out by making a right triangle out of it
we'll get a 30-60-90 triangle
the tree will make 2 angles w/ the slope, one on each side.
so draw the tree on the slope, then you'll get a 60 and 120 degree
it'd be easier if you visualize this problem
hope it helps! I know I sound confusing
The measure of the smallest angle of a tree with a hill is 60°.
The measure of the greatest angle of a tree with a hill is 120°.
Given:
A tree on a 30° slope grows straight up.
To find:
The measures of the
greatest and smallest angles the tree makes with the hill.
Solution:
In figure drawn:
[tex]\angle PQR = 30^o[/tex]
AB= Straight three
Construction:
Draw a parallel line CA to QR through point A.
Now,
[tex]\angle PQR = \angle PAC = 30^o\\\\\angle PAC +\angle PAB = 90^o \text{(Complimentary angles)}\\\\\angle PAB = 90^o -\angle PAC\\\\angle PAB=90^o-30^o=60^o[/tex]
The measure of the smallest angle of a tree with a hill is 60°.
[tex]\angle PAB + \angle BAQ= 180^o\text{(Supplementary angles)}\\\\ \angle BAQ= 180^o-\angle PAB \\\\ \angle BAQ=180^o-60^o=120^oC[/tex]
The measure of the greatest angle of a tree with a hill is 120°.
Learn more about complementary and supplementary angles here:
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Related Questions
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (-2, 2), (1, –3), (8, –1)}
{(-3, –1), (-7, 1), (–6, –1), (-8, 1), (2, –1)}
{(1, 8), (5, 2), (2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (4, 2), (6, –3), (1, –1)}
Answers
Answer:
A
Step-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
Under her cell phone plan, Micaela pays a flat cost of $47 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Micaela can use while staying within her budget.
Answers
Answer:
≤ 4.3 gigabytes
Step-by-step explanation:
Flat fee + cost for x gigabytes = her budget
47 + 5 * x ≤ 68.50
5x = 68.50 - 47 ≤ 21.50
x ≤ 21.50/5 = 4.3 gigabytes
Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.
Let, "x" to represent the number of gigabytes of data Micaela can use while staying within her budget.
The total cost can be calculated by adding the flat cost of $47 to the cost based on the gigabytes used ($5 per gigabyte):
Total Cost = Flat Cost + (Cost per Gigabyte * Number of Gigabytes)
Given that Micaela wants to keep her bill at $68.50 per month, we can set up the equation:
68.50 = 47 + 5x
Now, solve for x:
68.50 - 47 = 5x
21.50 = 5x
Divide both sides by 5:
x = 21.50 / 5
x = 4.3
So, Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.
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how many values of x will satisfy the equation -2|3x-5|=0
Answers
Answer:
1 value
Step-by-step explanation:
spicifically 5/3
The x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
What is modulus?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
According to the question
-2|3x-5|=0
Step1: Dividing -2 both side
|3x-5|=0
Step 2: Open modulus
3x-5=0 and - 3x+5=0
3x=5 and - 3x = - 5
x = [tex]\frac{5}{3}[/tex]
Hence, the x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
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a man has a garden measuring 84 metre by 56 he want to divide them equally into the minimum number of square plot what is the length of each square plot answer please in maths
Answers
Answer:
6
Step-by-step explanation:
84 = 3 x 28
56 = 2 x 28
Minimum number of square plot, each square is 28 x 28
the number is 3 x 2 = 6
you plan to go to a college that charges $12,120 per year. you have $29,000. how many years will you be able to go to that college?
Answers
Answer: You will be able to go for 2 full years.
Step-by-step explanation:
12,120 x 2 = 24,240. You will have $4760 leftover.
Answer: You will be able to go for 2 years and about 3 months
Step-by-step explanation:
tHanks again everyone
Answers
[tex]\\ \rm\rightarrowtail 4x-2y=12[/tex]
[tex]\\ \rm\rightarrowtail 2y=4x-12[/tex]
[tex]\\ \rm\rightarrowtail y=4/2x-12/2[/tex]
[tex]\\ \rm\rightarrowtail y=2x-6[/tex]
Done
The standard deviation for u(90, 230)
Answers
Answer:
Standard deviation is 70
Step-by-step explanation:
square root of 4,900= 70 (solved using standard deviation formula)
Pam read 126 pages of her summer reading book
in 3 hours. Zack read 180 pages of his summer
reading book in 4 hours. If they continue to
read at the same speeds, will they both finish the
215-page book after 5 total hours of reading?
Answers
Answer:
Step-by-step explanation:
No Zack will finish first
Answer:
Only Zack will finish
Step-by-step explanation:
126/3 = 42
42*5 = 210
180 / 4 = 45
45 * 5 = 225
If you can can i have brainliest
find the rate of change from the equation x=1 will mark brainiest
Answers
Answer:
undefined
Step-by-step explanation:
when graphed, x=1 goes up and down which makes it's slope undefined
Answer:
∞(infinity)
Step-by-step explanation:
rate of change for the equation x = 1
use the formula: y = mx + b
where:
y = how far up the line goes
m = slope
x = how far along
b = Y-intercept
the equation is a vertical line,
so the slope = ∞ (infinity)
Why is a convergent and b divergent?
Answers
Part (a)
This sequence is convergent because all we care about are the leading terms for the numerator and denominator. As n gets really large, the leading terms dictate what happens.
The leading term up top is 9n
The leading term down below is 7n
Divide the two items to get (9n)/(7n) = 9/7
We don't have to worry about dividing by zero because n will go off to infinity, and as it does so, the sequence [tex]\{a_n\}[/tex] converges to 9/7
========================================================
Part (b)
As n heads to infinity, the terms of the sequence are approaching 9/7 (they never quite hit the exact value though).
Note how 9/7 = 1.2857 approximately which is larger than 0
So effectively for very large values of n, we're adding on 1.2857 each time or close to it, meaning that this infinite series diverges.
------
For a series like this to converge, the answer to part (a) must be 0. This way at some point, we're effectively adding 0 to the series and we approach some fixed sum.
For example, consider the sequence 1/(7n+1)
As n goes to infinity, the terms of the sequence approach 0
This means that for some very large n, the 1/(7n+1) is basically 0 and we aren't adding much onto the sum to change it. So this sum will converge to a fixed value.
HELP ASAP
3) x'=
Justify:
122
X
Answers
What’s the answer please
Answers
Answer:
to know what scale to use you divide the the highest score by the number of hozirontal line (feint/lighter drawn lines) which are 14.
so 260 ÷ 14 equals = 18.57
I then rounded the 18.57 to the nearest 10th = 20.
so the scale used is 20s
In this image, what is the value of C? Round your answer to the nearest tenth.
Answers
Answer:
C = 7.2
Step-by-step explanation:
What's Pythagorean Theorem?
Pythagorean Theorem is a theorem in which it states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. This can be represented as an equation of a² + b² = c².To find the value of C, we're going to use Pythagorean Theorem! We're given the legs as 4 and 6.
Step 1: Simplify.
[tex]4^2+6^2=c^2[/tex][tex]16+36=c^2[/tex] [tex]52=c^2[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{c^2}=\sqrt{52}[/tex] C ≈ 7.2Therefore, the value of C is 7.2.
Given: 7x/2 < 5.
Choose the solution set.
• {xlx > 10/7}
• {x|x < 35/2}
• {x|x > 35/2}
• {x|x < 10/7}
I have no idea lol.
Answers
Answer:
x < 10/7
Step-by-step explanation:
7x/2 < 5
multiply eech side by the reciprocal(2/7)
x < 10/7
PLS HELP REAL BAD
ILL MARK U AS BRAINLY!!
Answers
Answer:
the answer is 4
Step-by-step explanation:
Answer:
A. 4 divided by 1/6=24
Step-by-step explanation:
I did the test.
Classify the triangle by its angles.
Answers
Answer:
D. obtuse
Step-by-step explanation:
The largest angle tells you the sort of triangle it is. Here, the largest angle is more than 90°, so the triangle is classified as obtuse.
__
If it were exactly 90°, the triangle would be a right triangle. A largest angle less than 90° means the triangle is an acute triangle.
_____
Additional comment
The two angles opposite the obtuse angle have the same measure. That means the triangle can be further classified as isosceles. In an equilateral triangle, all three angles have the same measure: 60°.
27 3/10 - 12 5/9 write in old style math
Answers
Answer:
273/10 - 113/9
Step-by-step explanation:
Answer:
- 15 [tex]\frac{23}{50}[/tex]
Step-by-step explanation:
We need to make [tex]\frac{3}{10}[/tex] and [tex]\frac{5}{9}[/tex] have the same denominator, or bottom half, before we can subtract them.In order to do this, we need to find a number that both 10 and 9 (the bottom numbers) both go into. (Hint! Multiplying them together usually helps!)This number is 90. (See? 10 • 9 = 90!)Since we multiplied 10 by 9 to get 90, we need to multiply the top (3) by 9 too, to get us [tex]\frac{27}{90}[/tex].We multiply [tex]\frac{5}{9}[/tex] by 10 to get us [tex]\frac{50}{90}[/tex].Now we can subtract 27 [tex]\frac{27}{90}[/tex] and 12 [tex]\frac{50}{90}[/tex].27 - 12 = 15 (big numbers)27 - 50 = -23 (fractions)Now we have - 15 [tex]\frac{23}{50}[/tex]If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
what is the initial number of views?
A.0
B.100
C.110
D.11
Answers
Answer:
A
Step-by-step explanation:
O because that is the number that you always start off.
It is 100 because the graph starts there it doesn’t start on (0,0)it starts on (0,100)
Find the value of the sine for A
80 m
60 m
B
a.
4
Iw
d.
Please select the best answer from the choices provided
Ο Α
ОВ
Mark this and return
Sana and Bui
Answers
Answer:
B
Step-by-step explanation:
sin = opp/hyp
The opposite side to angle A is side BC, which has a length of 60.
The hypotenuse is AB, which we can find the length of using the Pythagorean theorem. Using the Pythagorean theorem, we get that AB=100.
So the sine of A = 60/100 = 3/5
Matthew got 36 problems right out of a total of 40 problems on a test. What percent of the problems did he get right?
Answers
Answer: 90%
Step-by-step explanation: Well let us look at it together let’s make a small example, We know that 20 out of 40 would be 50 percent because it’s half. While using this info we can find out that...
1 out of 40 would be 2.5 percent.
2.5 percent times 14.4 = 36 percent.
36 percent of 40 = 90%
~akire lester
Please help ASAP marking brainly
Answers
Answer:
y = 2
Step-by-step explanation:
We are given the value of x (second equation). Let's substitute the value of x into the first equation to find y.
[tex]\rightarrow \dfrac{x}{y} = 6[/tex]
[tex]\rightarrow \dfrac{4(y + 1)}{y} = 6 \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[}x = 4(y + 1)]}[/tex]
Use cross multiplication.
[tex]\rightarrow 4(y + 1) = 6 \times y[/tex]
[tex]\rightarrow 4(y + 1) = 6 y[/tex]
Simplify the distributive property.
[tex]\rightarrow 4(y + 1) = 6 y[/tex]
[tex]\rightarrow 4y + 4 = 6 y[/tex]
Subtract 4y both sides.
[tex]\rightarrow 4y - 4y + 4 = 6 y - 4y[/tex]
[tex]\rightarrow 4 = 2y[/tex]
Divide both sides by 2.
[tex]\rightarrow \dfrac{4}{2} = \dfrac{2y}{2}[/tex]
[tex]\rightarrow 2 = y[/tex]
Thus, the value of y is 2.
Evaluate functions from their graph .
Answers
f(-1) = 3
Emma measured a line to be 16 inches long. If the actual length of the line is 15.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
4.6% (nearest tenth)
Step-by-step explanation:
percent error = (|approx - actual| ÷ actual) × 100
percent error = (|16 - 15.3| ÷ 15.3) × 100
= 4.6% (nearest tenth)
[tex] \sf\% \: error = \frac{ |approx - actual| }{actual} \times 100[/tex]
Approx = 16Actual = 15.3[tex] \tt\% \: error = \frac{ |16 - 15.3| }{15.3} \times 100[/tex]
[tex] \tt\% \: error = \frac{ |0.7| }{15.3} \times 100[/tex]
[tex] \tt\% \: error = \frac{ |0.7| }{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{0.7}{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{ \frac{7}{10} }{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{7 }{ 153 } \times 100[/tex]
[tex] \tt\% \: error = \frac{7 00}{ 153 } [/tex]
[tex] \tt\% \: error =4.57\%[/tex]
Thus, The % error is 4.6% when rounded off to the nearest tenth!!~Determine the solution to the equation given 4(m-2)=18
Answers
Answer:
m=13/2 hope this helped:)
Step-by-step explanation:
Write the equation in standard form for the circle x² + y² + 4y + 3 = 0
Answers
Answer:
x^(2)+(y+2)^(2)=1
Step-by-step explanation:
Ivan said that if a number ends in 0 both 2 and 5 are factors of the number. Is he correct? Why of why not?
Answers
Answer:
yes he is correct bc the number will always be divisive by 2 and 5
X + 14 = 21 what should be done to solve this equation
Answers
Answer:
x+14=21 Add 14 to both sides of the equation. Subtract 14 from the left side of the equation. Add 14 to the left side and subtract 14 from the right side of the equation.
Step-by-step explanation:
Answer: x = 7
Step-by-step explanation:
U first subtract 14 from both sides
x + 14 - 14 = 21 - 14
And then u simplify
and get 7
find the LCD of 1/3and2/7
Answers
Answer:
21
Step-by-step explanation:
find f(343) & f(-64) .
Answers
f(343) = ?
[tex] \sqrt[3]{343} = 7[/tex]
7 + 4 = 11
f(-64) = ?
[tex] \sqrt[3]{ - 64} = - 4[/tex]
-4 + 4 = 0
At a Clover City Council meeting, a plan to fund more sign language programs was presented. The reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. If this is true, the council will agree to fund more programs for these parents. The council decides to take a 175-person volunteer sample of parents in Clover City that have children with auditory issues and conduct a significance test for H0: p = 0.25 and Ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. They will perform the significance test at a significance level of α = 0.05 for the hypotheses.
Part A: Describe a Type II error that could occur. What impact could this error have on the situation? (3 points)
Part B: Out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. What can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses? (4 points)
Part C: What possible defect in the study can you find in Part B? Explain. (3 points)
Answers
Part A: A Type II error in this context is failing to reject the null hypothesis that 25% of parents with hearing impaired children have the ability to pass a sign-language exam when actually less than 25% are able to pass it.
Part B: We fail to reject the null hypothesis because the p-value of 0.96 is larger than α = 0.05. The evidence is not substantial that the proportion of parents with hearing impaired children in Clover City who are able to pass a sign language exam is less than 0.25. The sample proportion of phat = 0.96 is greater than 0.25.
Part C: The sample of 175 parents with hearing impaired children in Clover City was a group of volunteers, so most likely they were confident in their ability to pass a sign language exam which could better the chances of more passing sign language exams.