Answers
Answer:
SinZ=24/40 = 12/20 = 3/5
C)
The value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.
What are trigonometric ratios?The trigonometric ratios are the ratios of sides of two sides of right angled triangle used in trigonometry. Trigonometric ratios are used to find the value of the acute angles in a right triangle when the sides of the triangle are given.
We have,
A right-angled triangle XYZ with the given values,
Angle Y = 90°
And,
YZ = 32, XY = 24 and XZ = 40,
Now,
Using the trigonometric ratios,
i.e.
[tex]Sin Z=\frac{Perpendicular}{Hypotenuse}[/tex]
i.e.
[tex]Sin Z=\frac{XY}{XZ}[/tex]
So,
[tex]Sin Z=\frac{24}{40}[/tex]
On simplifying,
We get,
[tex]Sin Z=\frac{3}{5}[/tex]
So,
The option C is the correct answer for the given triangle find out using trigonometric ratio,
Hence, we can say that the value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.
To know more about trigonometric ratios click here
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Related Questions
help ! question 6 . I’ll give brain.
Answers
Answer:
B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
put me as brainliest
The sides of a triangle are in the ratio 2:3:4 and the longest side is 20 cms longer than the shortest side. Compute the length of each side.
Answers
Answer:
40 cm ; 30cm ; 20cm
Step-by-step explanation:
Given that:
Sides of a triangle are in the ratio 2:3:4
Let :
length of the sides = 2x, 3x, 4x
longest side = 4x
Mid side = 3x
Shortest side = 2x
Length of longest side is 20 cm longer than shortest side
4x = 2x + 20 - - (1)
4x - 2x = 20
2x = 20
x = 10
Hence,
longest side = 4x = 4*10 = 40 cm
Mid side = 3x = 3 * 10 = 30 cm
Shortest side = 2x = 2 * 10 = 20 cm
Which of the following equations shows the commutative property of multiplication?
A.8x0=0
B.3 x 11 = 11 x 3
C.7 + 7 + 7 = 3 x 7
D.(4 x 2) x1 = 4 x (2 x 1)
Answers
Answer: D.(4 x 2) x1 = 4 x (2 x 1)
Solve forj.
-1/3=j/4-10/3
Answers
Answer:
j=12
Step-by-step explanation:
[tex]-\frac{1}{3}=\frac{j}{4}-\frac{10}{3}[/tex] is what we start with. first, do the inverse of -10/3. therefore, we add 10/3 to both sides.
[tex]\frac{9}{3}=\frac{j}{4}[/tex] is what we end up with. then simplify.
[tex]3=\frac{j}{4}[/tex] is what we have after simplifying. next we do the inverse of dividing by 4, so we multiply by 4.
[tex]12=j[/tex] is the final answer. or j=12. hope this helps!
1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.
Answers
Answer:
-47 Feet
Step-by-step explanation:
He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.
PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
Answers
Answer:
ccccccccccccccccccccc
Answer:
y=2x+4
Step-by-step explanation:
If you look at the table y goes up by 2 every time x goes up by 1 and when x is 0 y is 4 so its y=2x+4
solve for answer z/7+19>3.5
Answers
Answer:
z > -108.5
Step-by-step explanation:
1. z/7+19>3.5
Subtract 19 from both sides
2. Z/7 > -15.5
Multiply both sides by 7
3. Z > -108.5
Leon tried to solve an equation find leons mistake 1/2w-12=18
Step one : 1/2w=30
Step two: w=15
Answers
Answer:
They made a mistake of the value of W. If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.
Step-by-step explanation:W-
Answer:
Step two
Step-by-step explanation:
step one isn't wrong
and he infact made a mistake
How many solutions does a system of equations have when solving results in the statement 3=5
Answers
Answer:
No solutions
Step-by-step explanation:
Answer:
they usually have the sum of an answer that they divided
Step-by-step explanation:
Find the slope and the y-intercept of the line.
- 9x+3y=-6
Answers
Answer:
slope is 3 and y intercept of -2
Step-by-step explanation:
Help PLS anybody good at GEOMETRY?!
NUMBER 15
Answers
A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.
Answers
Step-by-step explanation:
radius
(2,2)-(1,-3)=(1,5)
radius= 5.09 units
46.2 is 77% of ______.
Answers
Answer:
60
Step-by-step explanation:
In any triangle with 105 angle, is the. Longest side always the opposite side
Answers
Answer:
yes
Step-by-step explanation:
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship
Answers
Answer: D
Step-by-step explanation: did you get it right
Answer:
D
Step-by-step explanation:
The scatter plot shows a regression line of advertising dollars spent and sales. What advertising dollar has the greatest error term?
A) $250,000
B) $262,500
C) $275,000
D) $337,500
Answers
Answer:c
Step-by-step explanation:
The points (2, 5) and (1, 1) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=
x-
Answers
the bottom of a 15 foot ladder is placed 3 feet back from the wall. How far up the wall will the top of the ladder reach? ( round to 1 decimal place.
a) 15 feet
b) 18 feet
c) 14.7 feet
d) 15.3 feet
Answers
Answer:
It’s c
Step-by-step explanation:
It’s simple
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
4:3
Step-by-step explanation:
16:12=8:6=4:3
Answer:
4:3
Step-by-step explanation:
16 and 12 can both be divided by 4
16/4 = 4 12/4 = 3
so your simplified ratio is 4:3
Is the relation a function?
Answers
Answer:
Yes
Step-by-step explanation:
There is only one y value for each x value. That is the definition of a function.
Hope I helped!!!
Answer:
i believe all you have to do is divide the (x) nums into the (y) nums and if there whole nums it is a function
Step-by-step explanation:
The table shows the participation in a school's debate club during the last four years.
Year
1 2 3 4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
The greatest growth was between years 3 and 4. The growth between those years was about 32%.
The greatest growth was between years 1 and 2. The growth between those years was about 5%.
The greatest growth was between years 3 and 4. The growth between those years was about 8%.
o The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Answers
Answer:
The greatest growth was between years 1 and 2. The growth between those years was about 36%.
Step-by-step explanation:
Divide 19 by 14 to check, it gets you 1.357 which rounds to 1.36, or an increase of 36%
susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
Answers
What is the value of x?
155
105
A. 55°
B. 160°
C. 50°
O D. 20°
Answers
=C.
Rewrite the expression by factoring out (w-5)
Answers
Answer:
(w - 5)(2w² + 7)
Step-by-step explanation:
Given
2w²(w - 5) + 7(w - 5) ← factor out (w - 5) from each term
= (w - 5)(2w² + 7)
A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
Answers
9 = 3(6) + b
9 = 18 + b, b = -9
Y = 3x - 9
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
Learn more about the straight line here:
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Can someone please help
Answers
Answer:
2x+7
Step-by-step explanation:
F(x+3)=2(x+3)+1
F(x+3)= 2x+6 +1 =2x+7
Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Company A is cheaper than Company B.
Answers
Answer:
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Step-by-step explanation:
Let the number of hours be represented by t
For Company A
Company A charges $45 per hour and a $150 equipment fee.
150 + 45t
For Company B
Company B charges $35 per hour and a $200 equipment fee.
200 + 35t
Write an equation for each situation, in terms of t,t, and determine
The interval of hours,t, for which Company A is cheaper than Company B is given as:
Company A < Company B
Hence:
150 + 45t < 200 + 35t
Collecting like terms
45t - 35t < 200 - 150
10t < 50
t< 50/10
t < 5
When the number of hours t is less than 5 hours, Company A is cheaper than Company B
Answer:
This is the correct answer on Delta Math
Step-by-step explanation:
terms and like terms in the expression 4a−9+3a.
Answers
Examples to help:
2a + 4 (Unlike terms cannot be simplified)
4a + 3b (Unlike terms cannot be simplified)
6a – 3a = 3a
8b – 8b = 0
5a – 3 (Unlike terms cannot be simplified)
6a – 4b (Unlike terms cannot be simplified)
These are not the awnsers they are just examples
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answers
Hi there!
[tex]\large\boxed{\left \{ {{y\geq -x + 3} \atop {y > 2x - 3}} \right.}[/tex]
We can begin by looking at the solid-line pictured in the graph.
Using the slope-formula, we can derive the slope from this line:
[tex]\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }[/tex]
Plug in points from the line:
[tex]m = \frac{0- 3 } { 3 - 0} = -1[/tex]
We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:
y ≥ -x + 3
The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:
[tex]m = \frac{1-(-3)}{2-0} = 4/2 = 2[/tex]
The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.
Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:
y > 2x - 3
Find all solutions of
- 2r +4-8=0
Answers
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide