In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm and XZ=10 cm. What is the length of XN
Answers
Answer:
3.6cm
Step-by-step explanation:
YZ = 10² - 6² = 8
sinX = 8/10 = 53.13º
cos 53.13º = XN/6
XN = 3.6cm
Answer:
[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]
XY = 6 cm , XZ = 10 cm[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]
Length of XN[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]
Let the length of XN be ' x ' & that of NZ be ' 10 - x 'In rt. XYZ :
Hypotenuse (h ) = 10 , Perpendicular ( p ) = YZ & Base ( b ) = 6Using Pythagoras theorem:
[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]
Plug the values & then simplify!
⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]
⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]
⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]
⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]
In rt. YNZ ,
Hypotenuse = 8 cm , Perpendicular = YN , base = 10 - xUsing Pythagoras theorem :
⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]
In rt. XYN ,
Hypotenuse = 6 , Perpendicular = YN , base = xUsing Pythagoras theorem :
[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]
⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]
Now , From Equation ( i ) & Equation ( ii )
⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]
⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]
⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]
⤑ [tex] \large{ \sf{20x = 72}}[/tex]
⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm
Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]
[ Correct me if I am wrong ]
♨ Hope I helped! ♡
♪ Have a wonderful day / night ! ☃
☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Related Questions
What is the median. I have 3 more questions that have to deal with the median.
Answers
Answer:
47.5Step-by-step explanation:
Median - The middle number in a list of numbers starting from least to greatest.
Knowing this, we can start.
The first step is to rewrite all the numbers from least to greatest
15, 19, 28, 32, 43, 52, 66, 72, 72, 81
Now cross off a number from the least and greatest until there is 1 or 2 numbers left
19, 28, 32, 43, 52, 66, 72, 72
28, 32, 43, 52, 66, 72
32, 43, 52, 66
43, 52
If you are left we 1 number, that is your answer. If you are left with 2 numbers, there is an extra step
In the case that you have 2 numbers, you need to add them together, and divide by 2
43 + 52 = 95
95 ÷ 2 = 47.5
Thus 47.5 is our answer
An atom has 3 protons and 4 neutrons and 2 electrons, what is the overall charge on this atom
NOOOO LINKS OR I WILL REPORT
Answers
Answer:
+1
Step-by-step explanation:
Each Proton is +1
Each Neutron is 0
Each Electron is -1
1+1+1+0+0+0+0-1-1=1
Which of the following is the solution to the equation 64^(z+4) = 1024
Answers
6z + 24 = 10
z = -7/3
Which is the slop of the line that passes through the points (-3, 1) and (4, -2)?
A.) slope = -3
B.) slope = -3/7
C.) slope = 1/2
D.) slope = -7/3
Answers
Answer:
The answer is b. ok ok ok ok
Find the Volume of a cone of 10 inches and height of 30 inches.
Answers
Answer:
If the radius = 10, then 3141.59 cubic in.
If the diameter = 5, then 785.4 cubic in.
Step-by-step explanation:
You didn't specify whether the 10 was the radius or diameter.
I used the formula V = 1/3 * h * π * r².
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answers
Answer:
She has 80 apples in all.
Step-by-step explanation:
24=30%
(24÷3)=(30÷3)%
8=10%
(8×10)=(10×10)%
80=100%
What is the answer? Help
Answers
Answer:
2, because it does not have a variable!
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
The answer is 3, I hope this helps!
pls help
In the diagram, line m is parallel to line n.
What is the measure, in degrees, of angle ABC?
Answers
Answer:
I got 55..and I also got 50.......
Which two lines are parallel? (Reading the lines from left to right, identify them as left, middle, or right) What is the slope for the parallel lines? Coordinates: Left (-3,1), (0,3); Middle (-5,-3), (1,1); Right (-1,-3), (3,0) The 1) and 2) lines are parallel. 3) The slope is .
Answers
Answer:
The 1) and 2) lines are parallel.
Step-by-step explanation:
given m||n, find the value of x
Answers
Answer:
x= 154°
I hope it's helps you
Answer:
x=154
Step-by-step explanation:
The figures provides us with a variable and the number 154.
In this situation, the value of x and the given angle are corresponding angles.
The theorem of corresponding angles states that if a transversal is cut by two parallel lines the corresponding angles are CONGRUENT.
When an angle is congruent, they are equal to each other.
So in this case, x=154, x≅154.
Hope it helps! :)
*
30 35 40
45 50 55 60
65 70 75
80
c. Determine the median
Answers
Answer:
median is 55
Step-by-step explanation:
PLZ HELPPPP !!!
What is the height of a cone that has a volume of 90 mand has a radius of 3.5 m?
Answers
Answer:
Step-by-step explanation:
Calculate the volume of a cone by its base and height with the equation volume = 1/3 * base * height. You can calculate the height of a cone from its volume by reversing this equation. Triple the volume amount. For this example, the volume is 100.
Write the domain of
Y= x+1/
(x+2)(x+10)
Answers
(-∞,-10)∪(-10,-2)∪(-2,∞)
Or
[tex]\left\{x|x\ne-2,-10\right\}[/tex]
Both are correct.
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
Note: The unit for Force (the Newton) is measured in .
Answers
Answer:
2.2
Step-by-step explanation:
if force equals mass times acceleration then you divide 7.92(the force) by 3.6(the mass) to find out what would be multiplied by 3.6 to get 7.92.
Sorry if I'm wrong.
The acceleration of an object with F=7.92 newtons and m=3.6 kilograms is 2.2 m / s²
What is force:Force is a pull or push upon an object that causes motion .
Mathematically, force is express as follows:
F = ma
where
m = mass
a = acceleration
Force is measured in Newton.
Let's find the acceleration of an object with F =7.92 newtons and m = 3.6 kilograms.
7.92 = 3.6a
divide both sides by 3.6
a = 7.92 / 3.6
a = 2.2 m / s²
learn more on force here: https://brainly.com/question/11115735?referrer=searchResults
Question 3 please NO spam math grade 7
Answers
Answer:
Step-by-step explanation:
1. right
2. right
3. right
4. right
5. wrong
6. right
im not 100% sure but this is what i think
Which is true about the mapping shown below?
Answers
Answer:
The answer is going to be C.
Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answers
A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Answers
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
ANSWER PLS
NO LINKS AT ALL
Answers
Answer:
David (1), Billy (2), Allen (5), Conner (7).
Step-by-step explanation:
Use M.A.D to find variability. Basically the higher the M.A.D, the greater the variability. And I don't know for sure, so if wrong tell me.
10 A town is planning a new library. The architect uses a computer program to
design the new children's section shown in the diagram.
10
+
- 10
-8
Which expression can be used to find the area of the children's section?
Choose all that apply.
A (5 X 4) + (6 X 10)
B
(11 X 4) + (6 X 6)
C (11 X 10) - (6 X 6)
D(5 X 4) + (6 X 4) + (6 X 6)
E (11 X 4) + (6 X 11 - 15 X 6)
Answers
Step-by-step explanation:
wala bang tagalog na tanong
BRAINIEST ANSWER
FIND THE VOLUME AND ROUND TO THE NEAREST TENTH :)))
Please help
Answers
Answer: 3,150 ft.
Step-by-step explanation: multiply all sides together
Eva signs up for dance classes. She pays a one-time registration fee and then the same monthly tuition. Eva pays $110 the first month and at the end of 9 months has paid $670 in all. Which equation can be used to model the tuition and registration fees?
А. y - 110 = 70(x - 1)
B. y - 70 = 110(x - 1)
C. y - 670 = 70(x - 1)
D. y - 9 = 70(x - 670)
Answers
Answer:
А. y - 110 = 70 (x - 1)
Step-by-step explanation:
А. y - 110 = 70 (x - 1)
Can angles that measure 60, 60 and 60 degrees form exactly one triangle, more than one triangle or no triangle? Why?
Answers
Answer:
Yes, a 60,60,60 angle triangle equals 180
Step-by-step explanation:
Every triangle has to equal 180 degrees or it's not a triangle at all. This forms 1 triangle.
A total of 40 parents volunteered to bring a cake for the Holiday fair.Of the 40 volunteers that brought cake,10 of them brought two cakes. Out of all the cakes at the holiday Fair , 30% were chocolate. How many cakes were chocolate?
Answers
Answer:
15!
Step-by-step explanation:
so 40 people volentered to bring cakes, but 10 brought 2. So (30*1)+(10*2)=50 cakes. So, 30 percent of 50 cakes would be 15. To double check, times 50 by 100 and then 30 percent would become 30 (making super sure the actual answer is 15)
A company surveyed its employees regarding the number of miles
commuted each day. The data set below shows the results
9, 15, 26, 32, 65, 5, 10, 19, 26, 32, 8, 15, 25
30, 40, 7, 12, 21, 27, 35, 60, 29, 23, 14,8
Using a box plot, determine the outlier value of the data set above.
A. 65
OB. 23
C. 60
D. The data set does not contain an outlier.
E. 5
Answers
Answer: According to Study Island the answer is 65
Step-by-step explanation:
In order to determine the outlier value, create a box plot.
To create a box plot, order the data.
5, 7, 8, 8, 9, 10, 12, 14, 15, 15, 19, 21, 23, 25, 26, 26, 27, 29, 30, 32, 32, 35, 40, 60, 65
Find the median, the first quartile (Q1), the third quartile (Q3), and the interquartile range (IQR).
Median = 23
Q1 =
10 + 12
2
= 11
Q3 =
30 + 32
2
= 31
IQR = Q3 - Q1 = 31 - 11 = 20
Find the upper and lower fences for the given data.
Lower Fence = Q1 - 1.5 × IQR
= 11 - 1.5 × 20
= -19
Upper Fence = Q3 + 1.5 × IQR
= 31 + 1.5 × 20
= 61
In the first half of the basketball season, Jean made 15 free throws out of the 25 free throws she attempted, for a free-throw shooting percentage of 60%. How many consecutive free-throw shots would Jean have to make to raise her free-throw shooting percentage to 80%?
Answers
Answer:
She has to make 25 consecutive free throws
Step-by-step explanation:
Let the number of consecutive throws be x
So, that would mean the number of free throws would total 25 + x
while the number of free throws made would be 15 + x
So for us to have an 80% raise ;
That would mean;
(15 + x)/(25 + x) * 100 = 80
100(15 + x) = 80(25 + x)
1500 + 100x = 2000 + 80x
2000-1500 = 100x-80x
20x = 500
x = 500/20
x = 25
Answer:
She has to make 25 consecutive free throws
Step-by-step explanation:
Let the number of consecutive throws be x
So, that would mean the number of free throws would total 25 + x
while the number of free throws made would be 15 + x
So for us to have an 80% raise ;
That would mean;
(15 + x)/(25 + x) * 100 = 80
100(15 + x) = 80(25 + x)
1500 + 100x = 2000 + 80x
2000-1500 = 100x-80x
20x = 500
x = 500/20
x = 25
Step-by-step explanation:
A student evaluated -4+x for x = -9 1/2and got an answer of 5 1/2? What might th student have done wrong.
Answers
Answer:
Step-by-step explanation:
Expression evaluated by the student is,
(-4 + x)
For x = [tex]-9\frac{1}{2}[/tex]
Value of the expression will be,
(-4 + x) = [tex]-4+(-9\frac{1}{2})[/tex]
= [tex]-4-9-\frac{1}{2}[/tex]
= [tex]-13-\frac{1}{2}[/tex]
= [tex]-13\frac{1}{2}[/tex]
While student evaluated the value of the expression as [tex]-5\frac{1}{2}[/tex].
Mistake done by the student may be in the first step [tex][-4+(-9\frac{1}{2})][/tex].
He might have subtracted [tex](-9\frac{1}{2})[/tex] from (-4).
What is the area of the rectangle, in square feet?
9 ft
20 ft
29
58
ОООО
120
180
Answers
The stock price of a company was $25. The stock price fell to $20. Which is the closest to the percent decrease in this stock price?
Answers
Answer:
20%
Step-by-step explanation:
25-20=5
25/5=5
100/5=20
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answers
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.