Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how
Answers
Answer:
y=46.445
x=24.04
Step-by-step explanation:
rule for first triangle which is right isosceles triangle with angles 30-60-90
sin 30 = opp/hypt.
0.5= opp/34
opp=17 which is the height
the part of y in the first triangle = a^2+b^2=c^2
a^2= 17^2 , b^2=y , c^2 =34
y ( first triangle )= √867=29.445
second triangle is right angle triangle 45-90-45
x= 24.04
sin 45= opp/hypt.
1/√2 =17/x
x= 17*√2 = 24.04
solving for other part of y in the right triangle
h= y = 17
the whole base y= 29.445+17 = 46.445
Related Questions
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
It’s not 17 or 1.8 I have tried and those are wrong
Answers
Answer: 122 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.
Replacing with the values given:
Tan 7 = 15/x
x = 15/tan 7
x = 122 ft
Feel free to ask for more if needed or if you did not understand something.
Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.
Answers
Answer:
105= 7x or 7x=105 x=15
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two legs if the hypotenuse is 39 feet.
Answers
Answer:
leg 1= 36 feet
leg2 = 15 feet
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.
leg1 = x
leg2 = x-21 (21 feet less than the other leg)
Replacing with the values given:
39^2 = x^2 + (x-21)^2
1,521 = x^2 + x^2 -42x +441
0 = 2x^2 -42x +441-1,521
0= 2x^2 -42x -1,080
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x=-(-42)± √(-42)²-4(2)-1080] /2(2)
x= 42± √10,404] /4
x = 42± 102 /4
Positive:
x = 42+102 /4 = 36
leg 1= 36
leg2 = 36-21 =15
Feel free to ask for more if needed or if you did not understand something.
The length of shorter leg is 15 feet and other leg is 36 feet.
Pythagoras theorem:Let us consider that, length of shorter leg is x feet.
So that, length of other leg is [tex](x+21)[/tex] feet.
It is given that, the hypotenuse is 39 feet.
Apply Pythagoras theorem,
[tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]
Since, side can not be negative.
So that, we have to consider x=15 feet.
Length of other leg[tex]=x+21=15+21=36feet[/tex]
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
Thomasina wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
Answers
Answer:
1
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)
A whole number is rational (2 for example can be written as 2/1).
It could have been 2 or 3 or 33.
HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.
Answers
Answer:
Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....
Step-by-step explanation: yeah
Answer:
i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.
Step-by-step explanation:
volume = 1
0.5 +0.5 = 1
volume 2
1+1 = 2
you just need to use the word distribution and show like this
(V): amount / 2 = new amount (adding cm^3)
To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.
(V): L x Wx H =
You then multiply the amount of books if you was not given the measure of the bookcase shelf.
IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.
H/2 = first and enter below the new height.
(V): L xWx H = this is the whole shelf
(V) = / 2 you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1 by (/2)
Use the found answer
LAbel
MAth text books (V) =
Bounty paper towells (V) =
Then see how many cubic sheets fit.
ie) if they measure 30cm x 1cm x 30xm
and the shelf measures 30cm x 60 x 60
you can count up from the second values as the first values fit the length
The width = 1 x 60 - 60 books. (example 1cm Width thickness)
Then see the height does not change to the height of the books.
IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height
then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%
To calculate percentage decrease: see above
First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.
You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% = amount x 0.50 = 1/2 new amount.
For this graph, Mark the statements that are true.
Answers
Use the discriminant to determine the number of real solutions to the quadratic equation. 11m2+12m+4=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answers
Answer:
0
Step-by-step explanation:
The discriminant is
12^2 - 4*11*4 = -32
Since it is negative, there are 0 real solutions
If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? a.)(f + g)(x)≥3 for all values of x b.)(f + g)(x) ≤ 3 for all values of x c.)(f + g)(x) ≤ 6 for all values of x d.)(f + g)(x) ≥6 for all values of x
Answers
Answer:
Answer (a)
Step-by-step explanation:
(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.
Since |x| cannot be less than zero, the range of this composite function
(f + g)(x) = |x| + 3 is [3, infinity). That is, the smallest value is 3. This corresponds to Answer (a).
14. Compare the graph below to the function
Answers
Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) = [tex]\sqrt{x}[/tex]
When translated by 3 units left,
f(x + 3) = [tex]\sqrt{(x+3)}[/tex]
g(x) = [tex]\sqrt{(x+3)}[/tex]
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) = [tex]k\sqrt{(x+3)}[/tex]
Since a point (1, 4) passes lies on the transformed function.
g'(1) = [tex]k\sqrt{(1+3)}[/tex]
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
if y=Kxz SQUARED, FIND K IF X=3. Z=2. y=60
Answers
Answer:
y = kxz²
k= y/xz²
x= 3 y = 60 z= 2
k = 60/3(2)²
k=60/12
k= 5
Hope this helps.
Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8
Answers
what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answers
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answers
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
10.1 Populations and Samples
1. A company uses a computer to identify their 600 most loyal customers
from its database and then surveys those customers to find out how
10.2 Making Inferences from a Random Sample
2. A university has 30,330 students. In a random sample of 270 students,
18 speak three or more languages. Predict the number of students
at the university who speak three or more languages.
10.3 Generating Random Samples
A store receives a shipment of 5,000 MP3 players. In a previous shipment
numbers 1 through 300 represent defective MP3 players, and the numbers
numbers to simulate a random sample of this shipment. The clerk lets the
301 through 5,000 represent working MP3 players. The results are given.
13 2,195 3,873 525 900 167 1,094 1,472 7095,000
they like their service. Identify the population and determine whether
of 5,000 MP3 players, 300 were defective. A store clerk generates random
3. Based on the sample, how many of the MP3 players might the clerk
4. Can the manufacturer assume the prediction is valid? Explain.
5. How can you use random samples to solve real-world problems?
the sample is random or biased,
predict would be defective?
ESSENTIAL QUESTION
Answers
I think you can multiply how many are defective in a sample by how much more stuff there is
Answer:
I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.
Step-by-step explanation:
1.(Please,I cannot understand it .I think it is incomplete.)
2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.
3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.
4.No, the manufacturer cannot assume the prediction is valid.
The sample size of 10 is too small compared to the size of the shipment.
5.You can use random samples by using them for graphs which numbers are too big.
Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}
Answers
Hey mate!!
Answer:
n(A)=12
Solution,
A={3,6,9,12,15,18,21,24,27,30,33,36}
Just count the elements,
There are 12 elements in the set.
So the cardinal number of the set is 12.
Hope it helps...Answer:
[tex]12[/tex]
Step-by-step explanation:
A = {3,6,9,12,15,18,21,24,27,30,33,36}
To find the cardinal number,
just count the numbersSo, according to that,
there are 12 numbers in this set.
So, it's clear for us that, the cardinal number of this set is 12
n (A)= 12
hope this helps
brainliest appreciated
good luck! have a nice day!
Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior
Answers
Answer:
∠DHGStep-by-step explanation:
Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.
Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.
Therefore, the right answer is ∠DHG.
Help pleasseee •-•
1. The dot plot below shows the vertical jump of some NBA players. A vertical jump
is how high a player can jump from a standstill. Draw a box plot of the heights for the
vertical jumps of the NBA players above the dot plot.
Answers
If AB = 10, BD = 5, and DE= 12, what is the length of BC?
Answers
Answer:
BC = 24
Step-by-step explanation:
In the picture attached, the missing triangles are shown:
Data
AB = 10BD = 5DE= 12Then, AD = 10-5 = 5As a consequence of the "Side Splitter" Theorem:
AD/DE = AB/BC
Replacing with data and solving for BC
5/12 = 10/BC
BC = 10*12/5 = 24
The length of BC is 8 units.
The given figure is image 1.
From the image: AD = AB + BD = 10 + 5 = 15.
From the image triangle ABC and ADE are similar.
So their sides will be in the same ratio.
[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]
Learn more: https://brainly.com/question/13769924
Solve for the missing value x 3:9=x:81
Answers
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
does anyone know the answer to this ?
Answers
Step-by-step explanation:
The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.
The hypotenuse of a right triangle is 55 inches long. One leg is 2 inch(es) longer than the other. Find the
lengths of the legs of the triangle. Round your answers to the nearest tenth of an inch. Answer: The lengths are
Answers
Answer:
Step-by-step explanation:
Angles: 45°: 45°: 90°
Ratio of sides: 1:1:√2
Given c= 55
a =c/√2
a=55/√2 = 38.9
b=a+2 = 38.9+2 =41.9
The length of the legs of the triangle is 41.9
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
Angles are: 45°: 45°: 90°
The ratio of sides: 1:1:√2
Given c = 55
a = c/√2
a = 55/√2
a = 38.9
b = a+2
b = 38.9+2
b =41.9
Thus, the length of the legs of the triangle is 41.9
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
There are 2200 students in a school. 52.5% of them are male. How many are female?
Answers
___________________________________
Total number of students=2200
Total percent of male=52.5%
Total percent of female=100%-52.5%
=47.5%
Total number of female= 47.5% of 2200
=47.5/100*2200
=1045
So the total number of female is 1045
hope it helps
Good luck on your assignment
________________________________
Answer:
[tex]1045[/tex]
Step-by-step explanation:
[tex]no. \: \: of \: \: students = 2200[/tex]
First let's find the percentage of female.
[tex]100\% - 52.5\% = 47.5\%[/tex]
So now let's find how many female students are there in the class
[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Help out please thank you
Answers
Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10
Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.
PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((
Answers
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
Calculate the radius of the circular rug. Use 3.14 for π.
Enter your answer in the box below.
____ feet
Answers
Answer:
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
You're welcome and don't forget to click THANKS
Answer:
\sqrt{\frac{153.86}{3.14} } = r
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
\sqrt{\frac{153.86}{3.14} } = r
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answers
Answer:
D
Step-by-step explanation:
Took it on Ed but it might be different
Answer:
D
Step-by-step explanation:
I did the math :)
3x - 36 + 2y = 0
Help! Please show work and match the algebraic function to the correct graph.
Answers
Answer:
The answer is Graph III.
Step-by-step explanation:
Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :
[tex]3x - 36 + 2y = 0[/tex]
[tex]2y = - 3x + 36[/tex]
[tex]y = - \frac{3}{2} x + 18[/tex]
Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.
How did you figure out the number of windows on 10 floors?
Answers
Answer:
There are 40 windows on the 10th floor
Step-by-step explanation:
Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.
4 + 5 /3 squared - 2 squared
Answers
Answer:
[tex]\frac{25}{9}[/tex]
Step-by-step explanation:
[tex]4+\frac{5}{3} ^2-2^2=\frac{5}{3}^2=\frac{25}{9}[/tex]
ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33
Answers
Answer:
The length of side A is 12 cm
Step-by-step explanation:
This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.
Given
Side A corresponds to 24 cm
Length 6 cm corresponds to Length 12 cm
Required
Find A
The given parameters can be represented mathematically as;
[tex]\frac{A}{24} = \frac{6}{12}[/tex]
With this expression, the value of A can be easily solved
First; multiply both sides by 24
[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6 * 24}{12}[/tex]
[tex]A = \frac{144}{12}[/tex]
[tex]A =12[/tex]
Hence, the length of side A is 12 cm
Answer:
ANSWER:A
Step-by-step explanation:
ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!
byeeeeee:)
<3
