1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zvonat [6]
3 years ago
14

Please help me with this question with full solutions!!!

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
8 0

Answer:

\frac{x}{w}, \: \frac{z}{y+v}

Step-by-step explanation:

sin θ = \frac{opposite}{hypotenuse}

Let’s take triangle ABD, where w is the hypotenuse.

sin ∠ABD = \frac{x}{w}

Let’s take triangle ABC (whole triangle), where y + v is the hypotenuse.

sin ∠ABD = \frac{z}{y+v}

Novay_Z [31]3 years ago
5 0

Answer: Choice C

x/w and z/(y+v)

======================================================

Explanation:

All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.

Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).

So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w

x/w is one of the answers

-----------

Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z

Therefore,

sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)

z/(y+v) is the other answer

Side note: triangle ACD is not used at all.

You might be interested in
Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).
QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}

Using the section formula expressed as

[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]

In this case,

\begin{gathered} m=1 \\ n=2 \end{gathered}

where

\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}

Thus, by substitution, we have

\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}

Hence, the y-coordinate of the point P is

0

8 0
1 year ago
17. Evaluate each pair of expressions.<br> a. (-3)-8 and -3-8<br> b. (-3)-9 and -3-9
Semmy [17]
A = -11
B= -12

This is because of how calculations work in negatives. Because they are both negative they work similarly to addition
5 0
3 years ago
Factor completely −5x2 + 10x − 25.
garri49 [273]
5(2x-7)

Hope this helps !

Have a great day!
3 0
3 years ago
Is A ABC similar to DEF? Why or why not?
vova2212 [387]

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

6 0
3 years ago
Read 2 more answers
I don't understand the first one.
Mekhanik [1.2K]
No the 6 times 8 is 48 and the 9 times 12 is 108
8 0
3 years ago
Read 2 more answers
Other questions:
  • Muscles-R-Us is a gym that charges its clients 75 + 30m, where m represents the number of months. What does each part of the exp
    13·1 answer
  • 1/4k = 3 (-1/4k + 3)
    10·2 answers
  • the population of a city is 25,000. if the number of males is 240 more than the number of females, how many males and females ar
    12·2 answers
  • Find the slope (5,4) (5,9)
    12·1 answer
  • Orden the Numbers 3/10, 1/5, 0.25 from last yo greatest
    13·2 answers
  • Example of a number thats not rational and tell me why its not
    15·2 answers
  • Y=3x+5+ what is the answer
    14·1 answer
  • Physics students drop a ball from the top of a 100 foot high building and model its height above the ground as a function of tim
    12·1 answer
  • When a number cannot be divided evenly, the amount left over is called the
    6·1 answer
  • Please help me with math and thank you
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!