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
The distance between the person and the building can be written as:
[tex]x=c\cdot \cos(\theta)[/tex]
C would be the line connecting the top of the building and the person(hypotenuse).
The height of the building is:
[tex]h=c\cdot \sin(\theta)[/tex]
If we get the c from the first equation and plug in the second one we get:
[tex]h=\frac{x}{\cos(\theta)}\cdot\sin(\theta)=x\cdot \tan(\theta)=32ft\cdot3.45=110.4$ft[/tex]
Part 2
If we P and Q are complementary that means that they sum is 90 degrees.
Because of this sin(Q) must be the same as cos(P).
Sum of the angles in any triangle is 180 if we have a right triangle and two complementary angles that means that those two angles have to be 45 degrees. Sin and cos are the same for the 45-degree angle.
I attached the diagram that would make this clear.
Related Questions
what is the solution of the following system?
4x-y=15
3x+2y=-8
(-1,-19)
(2,-7) <--- is this the right answer?
(4,-5)
(5,5),
Answers
Why is it advantages to take market trends into consideration when planning a career path?
Answers
Answer:
Its important because history repeats its self. some jobs won't be available in 5-10 years due to advance in technology, or a job that is fruitful/ profitable in one year may be completely dead and dry in the next.
Step-by-step explanation:
Andrew and Ryan spend a total of $44 at a state fair. There is an entrance fee of x dollars per person, and each ride costs $3.50. If they went on the same number of rides, which equation correctly represents this relationship, where n is the number of rides? Choose all that apply.
A. x + 7n = 44
B. 2(x + n) = 44
C. 2(x + 3.5n) = 44
D. x + 3.50n = 44
E. 2x + 7n = 44
F. 2x + 3.50n = 44
Answers
entrance fee for both of them = 2x
Total cost of rides = 2n x 3.50 = 7n
The total cost is 44
2x + 7n = 44 (Answer E)
2x + 7n = 44
2(x + 3.5n) = 44 (Answer C)
Answer:
C. 2(x + 3.5n) = 44
E. 2x + 7n = 44
Step-by-step explanation:
Hi, to answer this question we have to write an equation that represents the situation:
So, the total money spent by the 2 friends is $44. That cost is equal to the price of the entrance fee (x) multiplied by 2 (since they are 2), plus the cost of each ride (3.50) multiplied by the number of rides (n) and also by 2 (since they are 2)
Mathematically speaking:
2(x + 3.5n) = 44
So, the correct options are
C. 2(x + 3.5n) = 44
E. 2x + 7n = 44 (is equivalent, obtained if we apply distributive property to option C.)
Jeremy is going to roll a fair 6-sided die 180 times. What is the best prediction for the number of times that Jeremy will roll a number greater than 4?
Answers
Answer:
Step-by-step explanation:Close to 60 times but probably not exactly 60 times
Will fan and medal. How is this correct?
3. A family is building a circular fountain in the backyard. The yard is rectangular and measures 7x by 6x and the fountain is going to be circular with a radius of 2x. Once the fountain is build, what will be the area of the remaining yard?
A. 38x^2
B. [x] 2x^2 (21 – 2pi)
C. 42x^2 – 2pix^2
D. 38pix^2,
Answers
The fountain is circular with a radius of 2x.
Since we are looking for the remaining area, we need to know the area of the rectangular backyard and the circular fountain.
The formula for a rectangle is
A=lw
where:
l=length
w=width
So,
A=(7x)(6x)
=42x^2
Now for the area of the circular fountain,
A=
Step [tex]1[/tex]
Find the area of the rectangular yard
the area of the rectangular yard is equal to
[tex]A=L*W[/tex]
where
L is the length side of the rectangle
W is width side of the rectangle
in this problem we have
[tex]L=7x\ units\\W=6x\ units[/tex]
[tex]A=L*W[/tex]
[tex]A=7x*6x[/tex]
[tex]A=42x^{2}\ units^{2}[/tex]
Step [tex]2[/tex]
Find the area of a circular fountain
we know that
the area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
in this problem we have
[tex]r=2x\ units[/tex]
substitute
[tex]A=\pi (2x)^{2}[/tex]
[tex]A=4\pi x^{2}\ units^{2}[/tex]
Step [tex]3[/tex]
Find area of the remaining yard
Subtract the area of a circular fountain from the area of the rectangular yard
[tex]42x^{2}\ units^{2}-4 \pi x^{2}\ units^{2}=2x^{2}[21-2\pi][/tex]
therefore
the answer is the option B
[tex]2x^{2}[21-2\pi]\ units^{2}[/tex]
There are 48 colas and 24 lemon-lime sodas in the cooler. What is the ratio of colas to lemon-lime sodas?
A. 1 to 4
B. 4 to 1
C. 1 to 2
D. 2 to 1
Answers
hope this helped!
let me know if I was wrong.
The concession stand at the local high school sells pretzels and lemonade. The total cost of two pretzels and a lemonade is $5.75. The total cost of two lemonades is $0.25 more than the cost of a pretzel. What is the cost of a pretzel? $1.25 $2.00 $2.25 $2.75
Answers
Cost of a pretzel is equals to $2.25.
What is system of equations?
" A system of equations is a finite set of equations for which we find the common solution."
According to the question,
'x' represents the cost of pretzel
'y' represents the cost of lemonade
As per situation given system of equation are,
Situation1: The total cost of two pretzels and a lemonade is $5.75, which can be represented by equation:
[tex]2x + y = \$5.75[/tex] ____(1)
Situation2: The total cost of two lemonades is $0.25 more than the cost of a pretzel, which can be represented by equation:
[tex]2y = 0.25 +x[/tex] _____(2)
Multiply equation (1) by 2 we get,
[tex]4x + 2y = \$11.5[/tex] ______(3)
Substitute the value of 2y from (2) in (3) to get the cost of pretzel,
[tex]4x + 0.25 +x = \$11.5[/tex]
⇒ [tex]5x = 11.5 - 0.25[/tex]
⇒ [tex]5x = 11.25[/tex]
⇒ [tex]x =\frac{11.25}{5}[/tex]
⇒[tex]x=\$2.25[/tex]
Hence, cost of a pretzel is equals to $2.25.
Learn more about system of equation here
https://brainly.com/question/13997560
#SPJ2
Compounds with high melting points have _____. (1 point)
covalent bonds
metallic bonds
ionic bonds
no chemical bonds
Answers
Of those listed, Ionic bonds have the most rigid interactions with other molecules so have the higher melting points.
Answer:
Melting points are determined by how much the molecules in the compound interact with the other molecules in the compound. Those that have many interactions with the other molecules have higher melting points.
Of those listed, Ionic bonds have the most rigid interactions with other molecules so have the higher melting points.
A car travels from town a to town b at an average speed of 40 miles per hour, and returns immediately along the same route at an average speed of 50 miles per hour. what is the average speed in miles per hour for the round trip?
Answers
Average speed per hour = (40 + 50) ÷ 2
Average speed per hour = 45
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Answer: The average speed is 45 miles/hour.
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PLEASE HELP ME ON THIS N TRY TO EXPLAIN!!!!!!!!
IF 2 PPL ANSWER I WILL GIVE BRAINLIEST IF ITS CORRECT
Answers
Your answer is x + y = 230 and 0.50x + 075y = 138.50.
need help ASAP
Noah has 3 3/4 quarts of motor oil. He puts 1/2 that amount into a riding lawn mower.
How much oil does Noah put into the riding lawn mower?
Express your answer in simplest form.
Answers
William had $45 dollars to spend on vegetables. After buying 6 watermelons, he had $25.50 left. How much did each watermelon cost?
Answers
19.5 / 6 = 3.25 per watermelon
Let us suppose cost of 1 watermelon be x.
Cost of 6 watermelons = 6x.
It is given after buying 6 watermelons, he had $25.50 left.Total amount William spends on vegetable is $45.
We can form an equation with above information's
6x+25.50=45
To solve for x we isolate the x term .25.50 is added to the x term .
Opposite of addition is subtraction .Subtracting 25.50 both sides we have:
6x=45-25.50
6x=19.50
Dividing both sides by 6
x=3.25.
Cost of each watermelon is $3.25.
A rectangle is 999 meters long and 444 meters wide. what is its area?
Answers
Answer:
36
Remember, This is if you actually typed 9 and 4 but copy and pasted.
The equation for area is Width x height.
now replace the Values, which is 9 x 4, and that equals 32.
**The other option
443556
Remember, This is if you actually typed 999 and 444.
The equation for area is Width x height.
Now replace Values, which is 999 x 444, and that equals 443556.
I hope it helped!! <3
The key idea of the transformation called a rotation is moving a plane a specified -------- about a fixed ------.
Answers
2)fixed
hope this helped
The key idea of the transformation called a rotation is moving a plane a specified Distance about a fixed Point
Calculate the sum or difference. Enter the answer as a fraction in lowest terms, using the slash ( / ) as the fraction bar.
3/4 + 4/5
Math~
Answers
Which properties justify the steps taken to solve the system?
4x+3y=25
2x+−5y=19
Drag the answers into the boxes to match each step.
Answers
Multiplication property of equality
Multiplying the second equation by -2
Step 2
Additional property of equality
We add the two equations generated in step 1
Step 3
The division property of equality
We divide both sides of equation obtained in step 2 by 13
Step 4
Substitution property of equality
We substitute the value obtained in step 3 for y in the first equation.
Step 5
Simplify
Step 6
Additional property of equality
We add +3 on both sides of the equation in order to have an equation with a variable x.
Step 7
Division property of equality
We divide both sides of the equation obtained to get the value of x
Answer:
hope this helps :)
Solve each multiplication problem, use the cancellation method if possible, and reduce your answers.
a. 39⁄64 × 8⁄13
b. × 1⁄5 × 4⁄7
c. 3⁄5 × 10⁄12 × 1⁄2
d. 4⁄9 × 54
e. 20 × 3 1⁄5
f. 11 × 2 7⁄11
g. 5 1⁄3 × 5 1⁄8
h2⁄3. 10 2⁄3 × 1 3⁄8
Answers
b. 8/105
c. 1/4
d. 24
e. 64
f. 29
g. 27 1/3
h. 14 2/3
What is the quotient?
3x^2 – 11 + 60/x+5
3x – 11 + 60/x+5
3x^2 – 11 – 50/x+5
3x – 11 – 50/x+5
Answers
Answer:
correct answer 3x – 11 + 60/x+5
Step-by-step explanation:
Addison bought 5/6 yard of ribbon. She used 1/4 yard of ribbon to decorate her scrapbook. How much ribbon did she have left after decorating the scrapbook?
Answers
5/6 = 10/12
1/4 = 3/12
10/12 - 3/12 = 7/12
5/6 - 1/4
12 is the LCM of 6 and 4
10/12 -3/12= 7/12
She is left with 7/12 yard of ribbon
The assessed value of property in Enterprise County is $196,000,000. The county supervisors feel the county needs $9,525,000 in revenue.
What is the tax rate (to 0.1 of a percent)?
5.1
4.9
4.7,
Answers
Answer:
B. 4.9%.
Step-by-step explanation:
We have been given that the assessed value of property in Enterprise County is $196,000,000. The county supervisors feel the county needs $9,525,000 in revenue.
To find the tax rate we need to find $9,525,000 is what percent of $196,000,000.
[tex]\text{Tax rate}=\frac{\$9,525,000}{\$196,000,000}\times 100[/tex]
[tex]\text{Tax rate}=0.0485969387755102\times 100[/tex]
[tex]\text{Tax rate}=4.85969387755102\%[/tex]
Upon rounding our answer to nearest tenth of percent we will get,
[tex]\text{Tax rate}\approx 4.9\%[/tex]
Therefore, the tax rate is 4.9% and option B is the correct choice.
What is the value of y?
A. Cannot be determined
B. 120
C. 60
D. 65
Answers
Chord AC intersects chord BD at point P in circle Z.
AP=3.5 in.
DP=4 in.
PC=6 in.
What is BP?
Enter your answer as a decimal in the box.
Answers
2. You have that:
AP=3.5 in
PC=6 in
DP=4 in
3. Then, by applying the "Intersecting chord theorem", you have:
(AP)(PC)=(BP)(DP)
4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:
(3.5 in)(6 in)/BP(4 in)
5. Now, you must clear BP. Then:
(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP
6. Therefore, the value of BP is:
BP=5.25 in
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≤ −x − 4
(1, 10)
(−1, 10)
(10, 1)
(1, −10)
Answers
The answer is (1,-10)
mafaaaaaaaaaaaaaaaaaaaaaaaa
Answers
_____
-3 ≤ n ≤ 4
Add [tex]2[/tex] to your sides
Like: [tex]-1 + -2 \leq n +2 + -2 \leq 6 + -2 \\ Answer: -3 \leq n \leq 4 (C) [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
f(x) = cot x PRE CALC HELP PLS?!
Answers
is it even? well, even functions use the y-axis as a mirror, so a pre-image on the right-side, will be a mirror of the image on the left-side, but in this case it isn't so, if you put a mirror right on the y-axis, the left-side will look a bit different.
does it have a zero at x = 0? well, just look at the graph, is the line touching the x-axis at 0? nope.
does it have an asymptote at 0? well, surely you can see it right there.
Solve the radical equation. square root 6n-11= n – 3 Which solution is extraneous? A.)2
B.)There are no extraneous solutions to the equation.
C.)7
D.)10
Answers
D) 10
EXPLANATION
We want to solve the radical equation,
[tex] \sqrt{6n - 11} = n - 3[/tex]
Square both sides,
[tex]6n - 11 = (n - 3) ^{2} [/tex]
Expand brackets on right hand side,
[tex]6n - 11 = {n}^{2} - 6n + 9[/tex]
Rewrite in general quadratic equation form,
[tex] {n}^{2} - 12n + 20 = 0[/tex]
Factor to obtain,
[tex](n - 2)(n - 10) = 0[/tex]
Apply the zero product principle to get,
[tex]n = 2 \: or \: n = 10[/tex]
We put n=2 into the equation to get,
[tex] \sqrt{6(2) - 11} = 2 - 3[/tex]
[tex] 1 = - 1[/tex]
This statement is false, hence 2 is an extraneous solution
We put n=10, to get
[tex] \sqrt{6(10) - 11} = 10 - 3[/tex]
[tex] \sqrt{49} = 7[/tex]
[tex]7 = 7[/tex]
This is true, hence the only solution is
[tex]n = 10[/tex]
For which polygon is the sum of the interior angles equal to 720 degrees?
A. Quadrilateral
B. Hexagon
C. Octagon
Answers
Please, help me. I'm not sure what to do.
Factor completely: 8x5 + 28x4 + 12x3
A) 2x3(2x + 6)(x + 1)
B) 2x3(2x - 6)(x - 1)
C) 4x3(2x + 1)(x + 3)
D) 4x3(2x - 1)(x - 3)
Answers
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.
A. 0, -1, 1, 0, 2
B. 0, 1, 1, 2, 3
C. 0, 1, 2, 2, 3
D. 0, 1, 1, 2, 2
Please helppp! Thanks! <3,
Answers
Helpp The Line Segment AB has endpoints at A(5,-3) and B(-2,0)