Answer:
-5/16
Step-by-step explanation:
-20 /64
Divide the top and bottom by 4
-5/16
can someone help asap
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swingset is 30.26° and Emir is 14 feet from the ground How many feet is the base of the treehouse from swingset? Round your answer to the nearest foot
ANSWERS:
15 feet
20 feet
18 feet
24 feet
=============================================
Explanation:
Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.
Focus on triangle BCD.
The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.
We know that he's 14 ft off the ground, which explains why AB = CD = 14.
The goal is to find BC = AD = x.
---------------------------
Again, keep your focus on triangle BCD.
We'll use the tangent ratio to say
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(30.26) = 14/x
x*tan(30.26) = 14
x = 14/tan(30.26)
x = 23.9965714046732
That value is approximate. Make sure your calculator is in degree mode.
That value rounds to 24 feet when rounding to the nearest whole foot.
Using the slope concept, it is found that the base of the treehouse is 24 feet from swingset.
What is a slope? The slope is given by the vertical change divided by the horizontal change. It's also the tangent of the angle of depression.
In this problem:
The vertical distance is of 14 feet.The horizontal distance is of x feet.The angle of depression is of 30.26º.Hence:
[tex]\tan{30.26^{\circ}} = \frac{14}{x}[/tex]
[tex]0.5834 = \frac{14}{x}[/tex]
[tex]x = \frac{14}{0.5834}[/tex]
[tex]x = 24[/tex]
The base of the treehouse is 24 feet from swingset.
You can learn more about the slope concept at brainly.com/question/18090623
Solve the range for the data set. (4,11,25,1,17,34,11,30)
a. 32
b. 33
c. 34
d. 35
Answer: b. 33
Step-by-step explanation:
The range is when you subtract the lowest value in the number set by the highest number in the number set. For this particular example, it would be 34-1= 33.
Hope this helps you!
witch is equivalent to 3x+5+7x+2
1. 17
2. 15x+2
3.10x+7
4. 17x
Answer:
option 3
Step-by-step explanation:
Given
3x + 5 + 7x + 2 ← collect like terms
= (3x + 7x) + (5 + 2)
= 10x + 7 → option 3
According to the question
=3x + 5+7x + 2
Combining Like terms
= (3x + 7x) +(5+2)
= 12x + 7
Therefore the correct option is third
10x + 7
Answered by Gauthmath must click thanks and mark brainliest
(1-sinx+cosx)^2 = 2(1+sinx)(1+cosx)
If you're trying to establish an identity, the given equation is not an identity. The proper identity would be as follows:
(1 - sin(x) + cos(x))² = (1 - sin(x))² + 2 (1 - sin(x)) cos(x) + cos²(x)
… = (1 - 2 sin(x) + sin²(x)) + 2 (1 - sin(x)) cos(x) + cos²(x)
… = 2 - 2 sin(x) + 2 (1 - sin(x)) cos(x)
… = 2 - 2 sin(x) + 2 cos(x) - 2 sin(x) cos(x)
… = 2 (1 - sin(x) + cos(x) - sin(x) cos(x))
… = 2 (1 - sin(x) + cos(x) (1 - sin(x)))
… = 2 (1 - sin(x)) (1 + cos(x))
But if you're trying to solve an equation:
(1 - sin(x) + cos(x))² = 2 (1 + sin(x)) (1 + cos(x))
2 (1 - sin(x)) (1 + cos(x)) = 2 (1 + sin(x)) (1 + cos(x))
(1 - sin(x)) (1 + cos(x)) - (1 + sin(x)) (1 + cos(x)) = 0
(1 + cos(x)) (1 - sin(x) - 1 - sin(x)) = 0
-2 sin(x) (1 + cos(x)) = 0
sin(x) = 0 or 1 + cos(x) = 0
sin(x) = 0 or cos(x) = -1
[x = arcsin(0) + 2nπ or x = arcsin(0) + π + 2nπ] or
… [x = arccos(-1) + 2nπ]
We have arcsin(0) = 0 and arccos(-1) = π, so the solution set reduces to
x = 2nπ or x = (2n + 1)π
(where n is any integer)
I NEED HELP !!!!!!!!!!!!!
Instructions find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf tan\Theta=\dfrac{P}{B}}[/tex]
[tex]\\ \sf\longmapsto tan\Theta=\dfrac{13}{46}[/tex]
[tex]\\ \sf\longmapsto tan\theta=0.2[/tex]
[tex]\\ \sf\longmapsto tan\theta=\dfrac{\sqrt{3}}{6}[/tex]
[tex]\\ \sf\longmapsto 3tan\theta=tan60[/tex]
[tex]\\ \sf\longmapsto \theta=\dfrac{60}{3}[/tex]
[tex]\\ \sf\longmapsto \theta=20°[/tex]
The difference between one half of a number and one fifth of it is 561. Find the number.
A. 2805
B. 1870
C. 5610
D. None of these answers
Find the missing value in each figure below. What does “y” equal?
Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
What is the value of q in the equation 5q − 10 = 75?
Answer:
should be 17
Step-by-step explanation:
Given g(x) = x2 - 4x + 7 , find g (3)
a) 4
b) 9
c) 12
d) 1
Answer:
The correct answer would be A. 4
By using the given functions, you can simplify g(3) and you'd get your answer.
Can someone please help me out with this its really urgent Ill mark brainliest
Answer:
smart dot company c=.50t+12
communication plus c=2.50t
Step-by-step explanation:
smart dot has the starting point of $12 per month already so that would be your y-intercept with the equation being y=mx+b , y being the cost m being the amount of money per hour, x being the time spent, and b being the starting cost.
So with that smart dot would be c=.50t+12
with communication plus not having that starting point it would just be c=2.50t
using trig to solve for missing angle
Answer:
[tex]58.99[/tex]
Step-by-step explanation:
[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]
Please hurry I will mark you brainliest
1. Explain a situation where you would expect to have a partial variation.
What makes this example a partial variation?
2. Explain a situation where you would expect to have a direct variation.
What makes this example a direct variation?
You can include a diagram/graph in your explanation if you wish.
Answer:
Here's the answers
Step-by-step explanation:
1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.
2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.
What is the measure of the missing length?
Use the Pythagorean theorem
? = sqrt(52^2 + 19^2)
? = sqrt(2704 + 361)
? = sqrt(3065)
Answer: sqrt(3065)
A factory produces wrenches. The factory wants all of its
wrenches to weigh the same, but will accept a certain level of er-
ror. The inequality below describes the error they are willing to
accept, in pounds:
Answer:
b
Step-by-step explanation:
Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?
Answer:
Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?
Step-by-step explanation:
12 + c = 13.50
OpruonnA seems to be the best, hence, Breaking down in real world terms :
13.50 = total cost
Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume
Cost of perfume = 12
Cost of flowers = c
Total cost of items = $13.50
HELPPPP
You invest $2700 in an account at 1.5% per year simple interest. The equation
that represents this scenario is:
A(n) = 2700 + (n - 1)(0.015. 2700)
How much will you have in the account in year 5? Round your answer to the
nearest dollar.
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?
g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?
'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?
Answer:
Step-by-step explanation:
F. 5/7 chance
G. 9/14 chance
H. You did not mention a blue color in the question.
Answer:
g) a) 11/14
f) 9/14
h) 12/14
Step-by-step explanation:
Probability is just the amount of the specified object over the total amount of objects.
Amount of Red : 2
Amount of Orange: 5
Amount of Green: 3
Amount of Brown: 4
Total: 14
*Formula: (Specified Object)/(Total)*
F) Chances of Red or Orange or Green
=(2+5+4)/14
=11/14
G) NOT be orange
*Formula: (Total)-(Specified)/(Total)*
=(14-5)/14
=9/14
H) NOT blue or red
*Formula: (Total)-(Specified)/(Total)*
=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)
= 12/14
What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:
[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]
Help me with the step by step solution highly appreciated
Answer:
x = -10
x = 6
Step-by-step explanation:
hope this helps:)
Someone please help
41.687510 to binary form
I believe your answer would be 101001.1011000000000000101.
Hope this helps!
Have a great day!
State the degree of each of the following and identify it as a linear or non-linear relation.
a. y = x2 + 2x + 1 b. 3x + 3y = 6
Answer:
a) Degree of 2; non-linear
b) Degree of 1; linear
Step-by-step explanation:
a) The degree is the highest power of the variable in the given equation:
Given y = x^2 + 2x + 1
From the given equation, we can see that the highest power of x is 2. Hence the degree of the equation is 2.
Any equation with degrees of 2 and above is a non-linear equation. Hence the equation is a non-linear equation
b) For the equation 3x + 3y = 6
Divide through by 3
x + y = 2
From the given equation, we can see that the highest power of x and y is 1. Hence the degree of the equation is 1.
Any equation with a degree of 1 is a linear equation. Hence the equation is a linear equation
A map in a particular city shows that a city block to be a rectangle that is 264 feet wide and 900 feet long. If a person was to walk from the top left corner to the lower right corner along the diagonal of the block, they would walk approximately _____. Round your answer to the nearest whole foot. Enter only the number.
Answer:
1164
Step-by-step explanation:
The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.
Using the formula for the Pythagorean theorem, we can set up the following equation:
c² = a² + b²
where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.
In this case, we can substitute the known values for a, b, and c to get:
c² = 264² + 900²
c² = 69696 + 810000
c² = 879696
c = √879696
c = 937.92110
Rounded to the nearest whole foot.
c = 938 feet
Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
5. Dylan walks into a video arcade with a pocketful of quarters. He spends them
at a rate of nine every half hour until he runs out. If the amount of quarters Dylan
has is graphed over time, which feature of the graph corresponds to Dylan's
initial amount of quarters, before he spends the first one?
The y-intercept
The slope
The x-intercept
The minimum value
Answer:
The y-intercept
Step-by-step explanation:
Have a good day :)
If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make
Answer:
13
Step-by-step explanation:
(iii) n(U) = 25, n(A) = 16 and n (B) = 2 n(AUB)=?
Answer:
n(AuB)=n(A)+n(B)=18
This is the answer
Which of the lists of letters all have line symmetry?
1. (A, B, C, D)
2. (W, X, Y, Z)
3. (L, M, N, O)
4. (S, T, U, V)
Answer:
The first row
Step-by-step explanation:
Letters A,B,C,D
==================================================
Explanation:
Check out the diagram below to see where the lines of symmetry are located.
For the letter A, we have a vertical line through the center that is the mirroring line. Reflecting one half over that line generates the other half.
For letter B, we have a horizontal line through the center. This applies to letters C and D as well.
This is why answer choice 1 is the final answer.
-----------
For letter Z, we have neither a vertical nor a horizontal mirror line. This letter doesn't have any lines of symmetry (though it does have rotational symmetry). So we can rule out answer choice 2.
Letter N is pretty much the same idea as letter Z. There aren't any lines of symmetry but we do have rotational symmetry. So we can rule out answer choice 3.
Lastly, we can rule out answer choice 4 because letter S has the same properties as letters Z and N.
what is the solution to 4 (1/2x + 7) =12
Answer:
-8
Step-by-step explanation:
Solve the brackets first
4/2x+28=12
then group the like terms
2x=12-28
2x/2=-16/2
x= -8
i hope this helps
Answer:
1/2x + 7=12/4=3
1/2x = 3-7=-4
x=-4/0.5
x=-8
can someone pls help me
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
