SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building? Please round to the tenths place. Please show work/steps and provide units with your answer.
2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/ . What is the value of cos P?
A.9/41
B.41/9
C.40/41
D/41/40
Answers
Specifically, [tex]tan74= \frac{h}{34} [/tex]
[tex]h=(34)(tan74)[/tex]<span class="_wysihtml5-temp-placeholder"></span>
[tex]h=118.6[/tex] feet.
Please be sure your calculator is set to degrees (not radians) when you do this problem.
(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.
sin = opp/hyp. As the sin Q = 9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.
cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.
You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.
Related Questions
The mass of Venus is
4.87 x 10^24 kilograms, and the mass of Jupiter is
1,898 x 10^24 kilograms.
The mass of Jupiter is about _____ times the mass of Venus.
Answers
Answer:
The mass of Jupiter is about 389.7331 times the mass of Venus.
Step-by-step explanation:
The question is asking for how much the two masses vary from one another. Since the mass of Jupiter is greater than that of Venus, what value is to be multiplied by the mass of Venus that would give the mass of Jupiter?
Thus, to determine this, we divide the mass of Jupiter by the mass of Venus;
= [tex]\frac{1898*10^{24} }{4.87*10^{24} }[/tex]
= [tex]\frac{1898}{4.87}[/tex]
= 389.7331
Therefore, the mass of Jupiter is about 389.7331 times the mass of Venus.
What is the measure of angle 1?
Answers
80o + 60o = <1
140 = <1 <<<<<<< ==== answer.
In a recent year 36% of all college students were enrolled part time. If 6.2 million college students were enrolled part time that year what was the total number of college students. Round to the nearest million
Answers
1% equals 6,200,000/36, and
100% equals 6,200,000/36*100 = 16,315,789
Hence, there were about 16,000,000 (sixteen million) students.
To find the total number of college students, we solve a proportion equation using the given 36% for part-time students and 6.2 million part-time students to find a total of approximately 17 million students.
Explanation:This problem can be addressed with a simple proportion equation. We know that 36% (or 0.36 in decimal form) of all enrolled college students equals 6.2 million. So, if we let X be the total number of college students, the equation becomes 0.36X = 6.2 million.
To solve for X, we divide both sides of the equation by 0.36 and hence, X=6.2 million / 0.36. After doing the calculation, we get approximately 17.22 million. Since the question asks us to round to the nearest million, our final answer is approximately 17 million total college students.
Learn more about Proportion here:https://brainly.com/question/31548894
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How many lines intersect at point O?
4
2
1
3
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M is the midpoint of PQ, N is the midpoint of MQ, and L is the midpoint of MN. If MN =14, find ML.
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Please mark Brainliest! Lemme know if I can help you with anything else!
-Belle
Distance LN = 6
Distance MQ = 6 X 2
=12 (Remember N is the midpoint of MQ)
Distance MQ = Distance PM = 12units
Hope this helps.
How to solve this???
Answers
A ship is 2.8 degree off course .If the ship is traveling at 14.0 miles per hour,how far off course will it be after 2 hours?
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can someone help me? im not sure if my answers are right
Answers
What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9
Answers
Call (3,-4) one point
Call (-2,5) the second point.
m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5
B<<<< answer
3. Which of the following is a solution to the equation 16= 4x-4?
a.-5
b.-4
c.5
d.16
please help. I'll give a medal + fan I wanna know how
Answers
4x-4=16
taking (-4) to opposite side,
since it has (-) sign , it becomes (+) when we take it to the opposite side
now the equation becomes
4x=16+4
i.e.
4x=20
now, we take 4 to the opposite side
the equation becomes
x=20/4
i.e. x=5
so the answer is
c.5
The area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
Answers
[tex]336 = \frac{1}{2} 48h [/tex]
[tex]336 = 24h [/tex]
[tex] \frac{336}{24} = h [/tex]
[tex] 14 = h [/tex]
Then using Pythagorean theorem
[tex] b^{2} + h^{2} = Hyp^{2} --> 48^{2} + 14^{2} = hyp^{2} [/tex]
[tex] hyp = \sqrt{2304 + 196} = 50 cm [/tex]
Answer:
50
Step-by-step explanation:
First we have to find the height. Since we know the area we can use it to find the height. The area of a triangle is A=bh1/2 or half of the base times the height. So if we plug in what we know and solve, we can find the height. 336=48 x h x 1/2. The height is 14. Now we can solve for the hypotenuse using the Pythagorean Theorem. a^2 + b^2 = c^2 plug in what we know... 14^2 + 48^2 = c^2 simplify to get 196+2304= c^2 and further 2500= c^2 so find the square root of 2500. You will get 50.
Divide by splitting up the numerator. 21x^3y^4-7x^2y^3+14x^2y^2-xy over 7x^2y^2
Answers
[tex]\dfrac{21x^3y^4}{7x^2y^2} - \dfrac{7x^2y^3}{7x^2y^2} - \dfrac{14x^2y^2}{7x^2y^2} - \dfrac{xy}{7x^2y^2}[/tex]
[tex]3xy^2 - y - 2 - \dfrac{1}{7xy} [/tex]
Take a look at the figure. What are the coordinates of the point labeled B in the graph shown?
A. (3, 2)
B. (–3, 2)
C. (–2, 3)
D. (–2, –3)
Answers
use the formula a=h/n to find the batting average a of a batter who has h hits in n times at bat.Solve the formula for h. if a batter has a batting average of .290 and has at bat 300 times, how many hits does the batter have?,
Answers
The formula given is:
a = [tex] \frac{h}{n} [/tex]
To solve for h, we need to isolate the h on one side of the equation.
This can be done as follows:
a = [tex] \frac{h}{n} [/tex]
Multiply both sides by n:
an = [tex] \frac{h}{n} [/tex] * n
h = a*n
Part 2: getting the value of h:
We are given that:
The average (a) = 0.290
n = 300 times
Substitute with the givens in the equation we got in part (1) to get the value of h as follows:
h = a * n
h = 0.290 * 300
h = 87 hits
Hope this helps :)
⭐️ Anyone know how to work this?...
Answers
so its 120
64,55,46,37,28,19 find the math patter what goes next
Answers
From one number to the next, the number decreases by 9.
10 goes next, since 19 - 9 = 10
Hope This Helps!
Perform the indicated operation. (2x + y)(3x^2 + y)
Answers
Answer:
[tex](2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)[/tex]
Step-by-step explanation:
The given expression is [tex](2x+y)(3x^2+y)[/tex].
We expand the parenthesis using the distributive property to obtain;
[tex](2x+y)(3x^2+y)=2x(3x^2+y)+y(3x^2+y)[/tex]
We expand further to get;
[tex](2x+y)(3x^2+y)=6x^3+2xy+3x^2y+y^2)[/tex]
This gives us;
[tex](2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)[/tex]
The equation x2+y2−4x+2y=b describes a circle. Complete the square to find the center of the circle. The center of the circle is ( , ) The radius of the circle is 7 units. What is the value of b in the equation? b=
Answers
divide each coefficient by 2 and square to determine what to add.
(-4/2)^2 = 4 needs to be added to complete the square for x.
(2/2)^2 = 1 needs to be added to complete the square for y.
add to both sides of the equal sign to keep the equation balanced.
x^2 - 4x + 4 + y^2 + 2y + 1 = b + 4 + 1
factor
(x - 2)^2 + (y + 1)^2 = b + 5
The general equation for a circle is:
(x - h)^2 + (y - k)^2 = r^2
with center (h,k) and radius r
compare this to the equation. you see that the center is: (2, -1)
we can write
r^2 = b + 5
given that r = 7
49 = b + 5
49 - 5 = b
44 = b
What happens to the maximum point of f(x) = -2x2 + 3x + 1, when the function is changed to f(x) = -2x2 + 9x + 1?
A) it shifts up and left
B) it shifts up and right
C) it shifts down and left
D) it shifts down and right
Answers
One way to do this problem, is to identify the vertex. Since it is a parabola that opens downward, the maximum point is the vertex.
Using the expression: -b/2a, you can find the x-coordinate for the vertex.
Then, input that value into the function to find the y-coordinate for the vertex.
For the first equation, you will get (0.75, 2.125) for the vertex.
For the second equation, you will get (2.25, 11.125) for the vertex.
By comparing these points, you see that the vertex shifts up and to the right.
Option B is correct.
I hope this helps, Good luck!
Answer: B
Step-by-step explanation: I did the usa test prep
Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the tip of the tree's shadow at point C. BE is two and a half times EC. Tanya is 5 feet, 3 inches tall. How tall is the tree in feet?
Answers
18 feet and 4.5 inches
Explanation
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.
When the sum of 7 and three times a positive number is subtracted from the square of the number, 0 results. find the number?
Answers
x^2 - (7 + 2x) = 0
x^2 - 2x - 7 = 0
The required number is 10.
Given that,
When the sum of 7 and three times a positive number is subtracted from the square of the number, 0 results. That number is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Let the number be x,
The sum of 7 and three times a positive number is subtracted from the square of the number 0.
x²-x(3 + 7) = 0
x² = x(10)
x = 10
Thus, the required number is 10.
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Instead of focusing on the absence of mental illness as an indication of mental health, Abraham Maslow and CarlRogers would focus more on____________ (1 point),
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satisfying basic physiological needs
creating pyramidal charts
outcome and behavior
the full realization of an individual's self
Then the answer is the last option.
Abraham Maslow and CarlRogers would focus more on the full realization of an individual's self.
Find the Value of X.
3
8
4
6
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You should take that difference and compare If to the size of the wheel left side, 6.
The difference should be equivalent for the other sides as well.
1:6 2:?
1:1 =2:12
2x+ 4 = 12
2x = 8
X=4
6 grade course 1 countdown 8 and 7 weeks
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Part B - 16
2. Box number 1 and 2
3. I am not sure.
What’s the correct answer
Answers
[tex]total = 11 + 3x[/tex]
For 10 weeks:
[tex]14 + 17 + 20 + 23 + 26 + 29 + 32 + 35 + 38 + 41 = 275[/tex]
Total:
Andrew will have earned $275 after 10 weeks
The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles.
What type of trianglr is created by the three cities?
A. An acute triangle, beacuse 22^2+54^2>51^2
B. An acute triangle, beacuse 22^2+51^2>54^2
C. An obtuse triangle, beacuse 22^2+54^2>51^2
D. An obtuse triangle, beacuse 22^2+51^2>54^2,
Answers
The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.
54 is the hypotenuse since it is the longest side.
Following the Pythagorean Theorem, a^2 + b^2 = c^2:
54^2=2916
51^2=2601
22^2=484
It becomes 2601+484 = 2916.
When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute.
Answer:
B
Step-by-step explanation:
Kim had 160 cards in a box.She gave 4/10 of the cards to maddy.How many cards did Kim have left in the box
Answers
[tex]\text {Cards gave to Maddy = } \dfrac{4}{10} \times 160 = 64 [/tex]
[tex]\text {Cards left = } 160 - 64 = 96 [/tex]
------------------------------------
Answer: Cards left = 96
------------------------------------
Trig question how do I find m
Answers
Angle E = 26.565 Degrees
What is 4.738rounded to the nearest thousandth? (Points : 1) 4.73 4.74 4.738 4.739
Answers
4.738 rounded to the nearest thousandth remains 4.738, as it is already at the required decimal precision.
To round to the nearest thousandth, you look at the digit in the thousandth place, which in this case is an 8. You do not need to alter the number since it is already at the thousandth decimal place. Therefore, 4.738 rounded to the nearest thousandth is simply 4.738.
In a pond, lotus flower multiply its self after every 4 days. One lotus multiplies into two after four days, into 4 after 8 days, into 8 after 16 days and so on. If you see one lotus flower in a pond today, how many flowers will be there in the pond after 32 days.
Answers
# of flower: 1, 2, 4, 8, 16
# of days: 4, 8, 16, 32
You are doubling the number of flowers to find the number of days. Or half the number of days is the number of flowers. So, in 32 days there are 16 flowers.