Answers
Given:
In triangle [tex]XYZ,m\angle X=90^\circ, m\angle Y=45^\circ, m\angle Z=45^\circ, XZ=y,YZ=15\sqrt{2}[/tex].
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
Using the above ratio for the triangle XYZ, we get
[tex]\sin Y =\dfrac{XZ}{YZ}[/tex]
[tex]\sin 45^\circ =\dfrac{y}{15\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{y}{15\sqrt{2}}[/tex]
[tex]\dfrac{15\sqrt{2}}{\sqrt{2}}=y[/tex]
[tex]15=y[/tex]
Therefore, the correct option is C.
Related Questions
find the circumference of a circle with a radius of 9.8 in. (urgent)
Answers
Answer: 61.58
Step-by-step explanation:
C = 2 π r = 2 · π · 9.8
π = pi
radius times pi (3.14) times 2 (because two radius makes the diameter)
9.8 times 3.14 times 2 = 61.57522in
Now we round.. 61.58
:) I hope this helps!
help thank you very much
Answers
Answer:
B: 76
Step-by-step explanation:
I have to put an explanation.I don't have an explanation.
What is the missing step in this proof
Answers are: A. CAB, ACB, EDB, DEB
B. ADE, DBE, CED, EBD
C. CAD, ACE, ADE, CED
D. CAB, EDB, ACB, DEB
Answers
The missing step in the given proof is ∠DEB ≅ ∠ACE
How to prove similar triangles?From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.
Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.
Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.
Read more about Similar Triangles at; https://brainly.com/question/8691470
#SPJ1
Match each trigonometric function with its right triangle definition. Note that opp = side opposite Angle A, adj = side adjacent to Angle A, and hyp = hypotenuse.
1. hyp/opp
2. hyp/adj
3. opp/adj
4. adj/hyp
5. adj/opp
6. opp/hyp
a. sec A
b. cot A
c. sin A
d. tan A
e. csc A
f. cos A
Answers
Answer:
image pls see <3
Step-by-step explanation:
Algebraically, find the roots of x² - 4x - 5=0,
Answers
Solve using quadratic formula
What is the average of 87 and 62
Answers
Answer:
74.5
Step-by-step explanation:
Answer: The answer is 74.5
Step-by-step explanation:
Hope this helped! :)
I need to determine which ones are parallel, perpendicular, or neither.
Please help
Answers
Answer:
Parallel:
y=3x-7 y=-4x-1 y=1/3x +9 -9x+12y=24 y=x-3
y=3x+1 8x+2y=14 x-3y =3 y=3/4x -5 x-y=8
Perpendicular:
y=-2/5x +3 y=-1/4x 2x+7y=28 y=-5x+1 x+y=7 5x-10y=-20
y=2/5x +8 y=4x-5 7x-2y=4 x-5y=30 x-y=9 y=-2x+6
10x+8y=16
5y=4x-15
Neither:
3x+2y=8 4x+9=18 y=5/3x +7
2x+3y=-12 y=4x+9 6x-10y=10
Step-by-step explanation:
You are paying off a student loan in monthly installments. After
the 4rd payment the remaining balance is $13,900. After the 5th
payment your remaining balance is $13,500. If n is the number of
payments that have been made, what is the nth term rule?
Answers
Answer:
The loan will be paid after 39 monthly installments.
Step-by-step explanation:
Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:
13900 - 13500 = 400
400 x 5 = 2000
2000 + 13500 = 15500
15500/400 = 38.75
Thus, the loan will be paid after 39 monthly installments.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
2.25
Step-by-step explanation:
Find the GCF for the list.
−15x^3 , 6x^4
Answers
Answer:
the GCF is 3x^3
Step-by-step explanation:
Identifying the greatest common factor of an expression like this one involves finding the GCF of each term when the terms are placed side by side: the GCF of -15x^3 and 6x^4 is 3x^3, because 3 and x^3 are the largest factors of their type (constant, power of x) that will divide evenly into -15x^3 and 6x^4.
The end result is 3x^3(-5, 2x). Once again, the GCF is 3x^3.
A man bought an article for Rs 225 and sold it at a gain of 15%. how much was his profit?
Answers
Answer:
225 x 0.15 = 33.75 profit
Step-by-step explanation:
Answer:
Profit: Rs 33.75
Step-by-step explanation:
His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75
Solve for X. Will give brainliest!
Answers
Answer:
57.6
Step-by-step explanation:
Parallel lines cut by transversals have proportional segments.
25/30 = 48/x
25x = 30 * 48
25x = 1440
x = 57.6
g(x)=3x+2 and h(x)=ax+B
where a and b are constants
h(4)=22
g^-1(14)=h(1)
find the value of a and the value of b
Answers
Answer:
a=6
b=-2
Step-by-step explanation:
You can use the hint provided on the mathswatch question page, I've attached it below
step 1
h(4) = ax+b = (ax4)+b = 4a+b
it is given in the question that h(4)=22, therefore 4a+b=22
step 2
work out the equation for inverse g
g^-1(x) = [tex]\frac{x-2}{3}[/tex]
step 3
input 14 into the equation in place of x to find g^-1(x)
[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]
so, g(x)^-1=4
step 4
find h(1):
h(1) = (ax1)+b = a+b
so, h(1)=a+b
step 5
a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))
step 6
Now you have two simultaneous equations:
4a+b=22
a+b=4
then, solve for a:
4a+b=22
- a+b=4
3a=18
a=6
then, input answer for a into either equation (I've gone with the a+b=4 equation):
6+b=4
-6 - 6
b=-2
(p.s i know this is very late but hope it helps someone)
I need to find the unknown dimension of a rectangle if its area is 216 square miles and one dimension measures 6 miles
Answers
Answer:
36 miles
Step-by-step explanation:
The area of a rectangle = Length × Width
One dimension = 6 miles
Area = 216 square miles
Hence, the other dimension = 216 square miles/6 miles
= 36 miles
The unknown dimensions is 36 miles
plz resond and help write a rulew to represent the sequence 13122, 4374, 1458, ...
Answers
Answer:
Starts at 13122, and divides by 3
Step-by-step explanation:
4374 x 3 = 13122
3/4x=2x−5
NEED ANSWER WITHIN THE NEXT HOUR PLEASE GIVING 20 PTS!!!
Answers
Answer:
x = 4
Step-by-step explanation:
1. Write the equation
3/4x = 2x - 5
2. Get the variables on the same side
Let's subtract 2x! Now, since math is a veryyy jealous subject, you're going to do it on the other side too!
-1.25x = -5
3. Divide both sides by -1.25
x = 4
Thank you for the points!!!
How might doing math slowly help with problems that are difficult to understand or hard to solve?
Answers
Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?
A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.
I hope this helped!
~flipohrama
What is 3 1/8 as a percent .
Answers
Answer:
%312.50
Step-by-step explanation:
Answer:
312.50%
(Please tell me if I'm wrong)
The product of all digits of positive integer M is 105. How many such Ms are there with distinct digits?
Answers
Answer:
6
Step-by-step explanation:
105 is a composite number (not prime). If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7. This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.
The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.
That's a permutation problem, and it can be answered easily by thinking this way: given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.
3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number. Here they are:
357, 375, 537, 573, 735, 753
Expand logarithm equation
Answers
Answer:
6log_4(x) - 4log_4(y)
which of the following can be brisk? a.A gift from a relative b.A walk around town c.a bowl of soup d.A fall breeze
Answers
6) Add or subtract:
a) (4x® - 5x + 15) - (11 - 7x - 2x)
b)(9x- 6x® - 7x-2) + (10x - 8x + 11)
Answers
Answer:
a) (4x® - 5x + 15) - (11 - 7x - 2x)
b)(9x- 6x® - 7x-2) + (10x - 8x + 11)
Step-by-step explanation:
a) (4x® - 5x + 15) - (11 - 7x - 2x)
b)(9x- 6x® - 7x-2) + (10x - 8x + 11)
Which of the following could be a rational number
Answers
What are the options???
The area of a square notepad is 100 square centimeters. How long is each side?
Answers
Answer:
Each side is 25 square centimeters
Step-by-step explanation:
100 divided by 4 is 25
1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob
OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC
Answers
Answer:
Um what’s this language?
Step-by-step explanation:
Solve central angle
Answers
Answer:
BC=48 degrees, AD= ??
Step-by-step explanation:
I'm going to find the angle BC so a full circle is 360 degrees but half of a circle is 180 degrees since we are dealing with half a circle its 180, 90 and 42 are already used so lets add these two numbers which is 132 lastly to find out the remaining which is angle BC we have to subtract 180-132 which is 48. So your first answer is 48.
Next is AD which i don't know how to do, Sorry :(
can you solve this? (x−1)2+(y−2)2=4
Answers
Answer:
x=5-y
Step-by-step explanation:
OMG PLEASE HELP AHHH LIKE PLEASE HELP
Answers
Answer:
the ratio used was 1:19
Step-by-step explanation:
let a be the action figure version
let r be the real iron man
let's list out the important things.
a = 4''
r = 6'4''
one foot has 12 inches
convert r into inches:
6 × 12 = 72 (6 feet in r)
r = 76'' (72 + 4)
r = 76''
a = 4''
ratio is 4:76
simplify
4:76
2:38
1:19
the ratio they used is 1:19
good luck,
-cheesetoasty
Help asap please!!!!!!!!!!!!!! 4-26-21 math
Answers
Answer:
2 and x=-2
Step-by-step explanation:
Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. Considering this data, how many of the next 3 donuts Brody eats would you expect to be glazed donuts?
Answers
Answer:1
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(glazed donut)
=
glazed donuts
total
=
3
2+2+5+3
=
3
12
=
1
4
The experimental probability is
1
4
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
4
=
n
20
1
4
(420)
=
n
20
(420) Multiply both sides by (420)
120
= 4n Simplify
20
= 4n Simplify
5
= n Divide both sides by 4
You would expect 5 out of the next 20 donuts Brenna eats to be glazed donuts.