Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answers
Answer:
height of the tower: 165.8 ft
use tan rule:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here: [ your calculator should be in degree mode [D] ]
x = 37°opposite = height of the toweradjacent = 220Solve:
[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]
[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]
[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]
Related Questions
(2x-3)(3x+4) Pls help urgent
Answers
Use the foil method to multiply each term and then simplify
Answer:
[tex]\boxed{\sf{6x^2-x-12}}[/tex]Step-by-step explanation:
Use the distributive property.
Use the foil method formula.
Distributive property:
⇒ A(B+C)=AB+AC
Foil method formula:
[tex]\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}[/tex]
(2x-3)(3x+4)→ 2x*3x+2x*4-3*3x-3*4
Solve.
[tex]\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}[/tex]
Therefore, the correct answer is 6x²-x-12.I hope this helps you! Let me know if my answer is wrong or not.
I’m posting a lot of these until I reach 90 on ixl, please bear with me lol
Answers
Solution in picture
Answer:
327.5 feet²
Step-by-step explanation:
Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.
Determining the area of the triangle:
Given dimensions:
Height = 11 feetDetermining the base of the triangle:
[tex]22 + b + 5 = 7 + 8 + 17[/tex]
[tex]27 + b = 32[/tex]
[tex]b = 32 - 27[/tex]
[tex]b = 5 \ \text{ft}[/tex]
Substituting the base and the height:
[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]
Simplifying the R.H.S to determine the area:
[tex]\text{Area of triangle} = 5\times5.5[/tex]
[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]
Determining the area of rectangle₁
Given dimensions:
Length = 17 feetBreadth = 5 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{1}} = LB[/tex]
[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]
Simplify the R.H.S to determine the area:
[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]
Determining the area of rectangle₂
Given dimensions:
Length = 5 + 7 feetBreadth = 8 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]
Simplify the R.H.S to determine the area
[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]
[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]
[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]
Determining the area of rectangle₃
Given dimensions:
Length = 17 feetBreadth = 7 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]
Simplify the R.H.S to determing the area:
[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]
Determining the area of the figure:
A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)
= 27.5 + 85 + 96 + 119
= 327.5 feet²
The graph of an exponential model in the form y=a•b^x passes through the points (3,5) and (4, 10).
Which point is also on the graph?
Answers
Answer:
Option C
Step-by-step explanation:
Attached photo might help you out
The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.
Complete the work to determine how many times larger a megaliter is than a hectoliter.
1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.
Answers
The megaliter is 10,000 times larger than a hectoliter
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 mega liter = 10⁶ Liter
1 hectoliter = 10² Liter.
Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter
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Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
Got it right on the assignment.
The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.” Based on historical data, here is the distribution of responses to this item:
Answers
Answer:
There is sufficient evidence to conclude that the distribution of responses is different now than it was historically.
Step-by-step explanation:
Since the p-value is less than the alpha significance level you reject the null hypothesis that the histrocial data matches the current.
We don't have enough evidence to conclude that the distribution of responses is different now than it was historically.
What is human resources department?Human resources are the people who make up an organization's, business sector's, industry's, or economy's workforce.
A more specific concept is human capital, which refers to the knowledge and skills that individuals possess.
The chi-square goodness-of-fit test has a p-value of 0.089 at a significance level of 0.10. We cannot reject the null hypothesis because the p-value is greater than 0.10.
As a result, we lack sufficient evidence to conclude that the distribution of responses is different now than it was previously.
"We don't have enough evidence to conclude that the distribution of responses is different now than it was historically," is the correct answer.
Thus, this can be concluded regarding the given scenario.
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Your question seems incomplete, the probable complete question is:
Transcribed image text: Inference for categorical data (chi-square tests); Unit test The human resources department at a large company regularly conducts an employee satisfaction survey. One them on the survey presents employees with the statement, "I am happy overall at work. Based on historical data, here is the distribution of responses to this item Response Strongly Agree agree Disagree Strongly disagree 70% 15% 5% 10% Historical distribution The human resources department wants to test if the most recent responses fit the historical distribution. Here is a sample of 150 of the most recent responses to the statement along with a chi-square goodness-of-fit test. Response Strongly agree Agree Disagree Strongly disagree Inference for categorical data (chi-square tests): Unit test Response Strongly Agree Disagree Strongly agree disagree Observed 104 20 12 Expected 105 22.5 7.5 15 Components 0.01 0.28 5.63 0.6 x 6.52, DF - 3 P-value=0.089 Assume that all conditions for inference were met. At the a = 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was Inference for categorical data (chi-square tests: Unit test Assume that all conditions for inference were met At the a 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was historically We don't have enough evidence to conclude that the distribution of responses is different now than it was historically There is sufficient evidence to conclude that the distribution of responses is the same as it was historically No conclusions can be made from this test, because O expected counts cannot include decimals. There must have been a mistake in the calculations.
Given A, B and C are sets, consider the following text:
(1) If B ∩ C = ∅ and A ⊂ (B ∪ C) then (A ∪ B) ∩ C = A ∩ B
(2) A ∪ (B ∩ C) ⊂ (A ∪ C) ∩ B
(3) If set A has 9 elements, set B has 7 elements and power set of A - B has 32 elements then power set of B - A has 16 elements.
Which statements are correct?
A. (1) and (2) are correct but (3) is not.
B. (1) and (3) are correct but (2) is not.
C. (2) and (3) are correct but (1) is not.
D. All are correct.
E. All are incorrect.
Answers
Let's check one by one
#1
B$\cap$ C=ØAnd
A$\subset$ (B U C)A$\subset$ B U A$\subset$ CTill now it's ok but
(A UB)$\cap$ CA$\cap$ C U B$\cap$CBut as B$\cap$ C has no elements this expression yields A$\cap$ C
Hence
False#2
Solve RHS
(A UC )$\cap$ BA$\cap$ B U B$\cap$ CBut according to first statement second part has no elements so it yields only
A$\cap$ BAnd
It denotes to common elements of A and B not all elements of A
Hence
False#3
[tex]\\ \rm\Rrightarrow P(A-B)=32[/tex]
[tex]\\ \rm\Rrightarrow 2^{|A-B|}=32[/tex]
[tex]\\ \rm\Rrightarrow 2^{|A-B|}=2^5[/tex]
[tex]\\ \rm\Rrightarrow |A-B|=5[/tex]
[tex]\\ \rm\Rrightarrow A-B=\pm 5[/tex]
As elements can't be negative integer it's only 5.
[tex]\\ \rm\Rrightarrow A\cap B=A-(A-B)=9-5=4\star[/tex]
And
[tex]\\ \rm\Rrightarrow P(B-A)=16[/tex]
[tex]\\ \rm\Rrightarrow 2^{|B-A|}=16[/tex]
[tex]\\ \rm\Rrightarrow 2^{|B-A|}=2^4[/tex]
[tex]\\ \rm\Rrightarrow |B-A|=4[/tex]
[tex]\\ \rm\Rrightarrow B-A=\pm 4[/tex]
Again take it positive 4
[tex]\\ \rm\Rrightarrow B\cap A=B-(B-A)=7-4=3[/tex]
As
[tex]\\ \rm\Rrightarrow A\cap B\neq B\cap A[/tex]
This statement is falseConclusion:-All statements are incorrect
Option EI'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS
In the triangle shown, the ratio of the height to the length of the base is 3:4.
Chose True or False on A-C.
A. The area of the triangle is twice the area of a parallelogram with the same base and height
B. The height is 3/4 the base length.
C. The area is 8.64 mm²
Answers
Answer:
A. False
B. True
C. True
Step-by-step explanation:
A: Area of traingle = 1/2 × Base Length × Height
Area of parallelogram = Base Length × Height
Therefore, Statement A is False.
B: Base on the ratio for height to base length 3:4,
Statement B is True.
C: Base Length = 4.8 ÷ 4 × 3
= 3.6 mm
Area of Triangle = 1/2 × Base Length × Height
= 1/2 × 3.6 × 4.8
= 8.64mm²
Therefore, Statement B is True.
c = y + a solve for y
Answers
Answer:
[tex]\boxed{\sf{y=c-a}}[/tex]Step-by-step explanation:
To solve for y, isolate it on one side of the equation.
c=y+aFirst, switch sides.
c=y+a
y+a=c
Then, you subtract by a from both sides.
y+a-a=c-a
Solve.
[tex]\Longrightarrow:\boxed{\sf{y=c-a}}[/tex]
Therefore, the correct answer is y=c-a.I hope this helps you! Let me know if my answer is wrong or not.
What is the interest rate if a principal of $572 earns $228.80 in interest in four years?
Answers
Answer:
the answer is 10% if it is simple interest you're talking about.
A store pays $98.25 for a surfboard and marks the price up by 40%. What is the amount of the mark-up?
Answers
So the amount of mark up is $39.30.
The volume of a paper cone of radius 2.4cm is 95.4 cm3.
The paper is cut along the slant height from O to AB.
The cone is opened to form a sector OAB of a circle with centre O.
Calculate the sector angle x°.
[The volume, V, of a cone with radius r and height h is V= 1/3 x π x r² x h.]
Answers
The sector angle formed by the cone when it is opened is: 54°.
What is the Curved Surface Area of a Cone?Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.
What is the Area of Sector?Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.
Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:
V = 95.4 cm³
r = 2.4 cm
Plug in the values:
95.4 = 1/3 x 3.14 x 2.4² x h
95.4 = 6.03 x h
h = 15.8 cm
Step 2: Use the pythagroean theorem to find the slant height (l) of the cone
l = √(h² + r²)
Plug in the values
l = √(15.8² + 2.4²)
l = 16 cm.
Step 3: Find the curved surface area of the cone
Curved surface area = πrl = π(2.4)(16) = 120.6 cm².
Step 4: Find the sector angle of the sector formed by the cone when opened
Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².
Area of a sector in a circle = ∅/360 × πr², therefore:
120.6 = ∅/360 × (3.14)(16²)
120.6 = ∅/360 × 803.84
(120.6)(360) = (∅)(803.84)
43,416 = (∅)(803.84)
43,416/803.84 = ∅
∅ = 54°
Therefore, the sector angle formed by the cone when it is opened is: 54°.
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A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a party, how many boxes of crackers should he buy?
Answers
each box is 200z, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.
Surface area please help
Answers
Answer:
238
Step-by-step explanation:
First, you have to figure out the area for each of the boxes, and then you add all of the areas together
An angle measures 46° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
68 and 22 degrees
Step-by-step explanation:
Complimentary angles sum to 90
x + (x-46) = 90
2x = 90 + 46
2x = 136
x = 68 and the other is 68 - 46 = 22
9. At a high school, 40% of the students play an instrument. Of those students, 20% are freshmen. Of the students who do not play an instrument, 30% are freshmen. What is the probability that a student selected at random is a freshman who plays an instrument?
Answers
Answer:
0.6%
Step-by-step explanation:
40% is the percentange of how many students play an instrument. (the whole) 20% is how many freshmen play. (part)
30% are the freshmen. 30% is over 100%.
20 x 100= 2000 and 40 x 30= 1200.
With the answers we got (2000 and 1200) we divide!!
2000÷1200=0.6
Which means the probabillity that the student is a random freshmen is 0.6% :)
What is the y-intercept and the x- intercept(s)?
Answers
Y intercept is 2
Answer:
y-intercept is 2
x- intercept(s) are -4 and 2
Step-by-step explanation:
y-intercept is where the line crosses the y line (vertical)
x- intercept is where the line crosses the x line (horizontal)
can someone please help me with this question
Answers
Answer:
B. 15 inches
Step-by-step explanation:
you multiply 6 x 5 since those are the dimensions of the triangles which equals 30 then you divide by 2 to get an answer of 15
Answer:
i would say A. 10in
Step-by-step explanation:
Someone please
help me I can’t solve this for the life of me!!!!
Answers
Answer:
I would think that It is the first one but if it is not trust the other people
Step-by-step explanation:
My sister needs help again quick
Answers
mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -
correct answer:
6×7-16:4
= 42-4
= 38
5)Find the mean, median, mode, range, first quartile, third quartile, and the interquartile range for
each data set given. Is the data skewed?
a. 7, 12, 1, 7, 6, 5, 11, 10, 14, 16, 16, 8, 9, 11, 12, 3
b. 85, 105, 95, 90, 115, 10, 8, 7, 5, 9, 10, 7
Answers
Answer:
See belowStep-by-step explanation:
DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1Put the data in the ascending order
a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2Find all the numbers
a)
Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very closeb)
Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenet
Help
4.5+0.1x=7-0.25x
Answers
Answer:
x=7.1429 I think that's the answer and I think it's A
Henry has scored 30, 29, 22, and 21 points in his four basketball game so far. How many points does he need to score in his next game so that his average mean is 24 points per game
Answers
Answer:
20
Step-by-step explanation:
I think
sorry
The required Henry needs to score 18 points in his next game to have an average of 24 points per game.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
average = sum of all scores/number of scores
We know that Henry has played four games so far, and his scores are 30, 29, 22, and 21 points. Therefore, the sum of his scores is:
sum of scores = 30 + 29 + 22 + 21 = 102
Let's assume that Henry scores x points in his next game. Then, his total score for all five games will be,
total score = 102 + x
If his average is 24 points per game, we can set up the equation:
24 = (102 + x) / 5
120 = 102 + x
x = 18
Therefore, Henry needs to score 18 points in his next game to have an average of 24 points per game.
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what is the formula of equilateral triangle .class-8
Answers
Answer:
Step-by-step explanation:
The perimeter of an equilateral triangle is:
P = 3a (where a any length of the triangle)
The area of an equilateral triangle is:
[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)
Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:
[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]
Then three important formulas are
[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)
[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]
[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]
Ben makes orange paint by mixing red, yellow and white paint in the ratio 20 : 16 : 1.5. how much of each colour does he need to make 1.5 litres of orange paint?
Answers
Answer:
0.8L = red
0.64L = yellow
0.06L = white
Step-by-step explanation:
R : Y : W
20 : 16 : 1.5
20 + 16 + 1.5 = 37.5
1.5 ÷ 37.5 = 0.04
0.04 × 20 = 0.8L = red
0.04 × 16 = 0.64L = yellow
0.04 × 1.5 = 0.06L = white
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.
Answers
The radius of the balloon given the information in the question is 8.98cm.
What is the radius of the balloon?The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
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On a hike you climbed to an altitude of 125 feet above sea level. Base camp is located at 32 feet below sea level. How far did you climb from base?
Answers
Answer:
32
Step-by-step explanation:
Please tell me how to solve for the area cause I thought the formula was ab/2
Answers
Answer:
Step-by-step explanation:
(a). 5.33 m
(b). 41.65 m²
Vertical angles are always adjacent. True False
Answers
Answer:
False
Step-by-step explanation:
Vertical angles are not always adjacent, but they are always congruent.
Hope that helps!
Answer:
False
Step-by-step explanation:
Hope it will help you*
for the given equation, enter the value of B when x =10. Bx=20
Answers
[tex]b = 2[/tex]
Step-by-step explanation:
[tex]bx= 20[/tex]
insert x=10
[tex]b(10) = 20[/tex]
divide both sides by 10
[tex]b(10) \div 10 = 20 \div 10[/tex]
[tex]b = 20 \div 10[/tex]
simplify
[tex]b = 2[/tex]
Kevin works 2 hours more than emily each time they work together. Using this information, complete the table
Answers
If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.
How many hours do Kevin and Emily work?The number of hours can be expressed as:
The number of hours Emily works = K - 2 or the number of hours Kevin works minus 2.The number of hours Kevin works = E + 2 or number of hours Emily works plus 2.What are the missing numbers?Emily = Kevin4 hours = 6 hous (E+2)5 hours (K-2) = 7 hours 6 hours = 8 hours (E+2)h= j (E+2)Learn more about mathematics in: https://brainly.com/question/15209879
