Answers
Answer: B i guess
Step-by-step explanation:
The hypotenuse side XY of given right angle at Z is [tex]5\sqrt{2}[/tex].
Given that in triangle XYZ :
∠X=45°
∠Y=45°
XY=5
And right angled at Z, that is, ∠Z=90°.
Since, ∠X=∠Y=45°
Therefore, XZ=YZ=5
Now,
[tex]\sin \theta = \dfrac{hypotenuse}{opposite}[/tex].
Here, θ=45°.
Therefore,
[tex]\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}[/tex]
Thus, the side XY=[tex]5\sqrt{2}[/tex].
Learn more about Right triangle here:
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Related Questions
Simplify
2×3^x - 3^x-1 / 18^x × 2^-x
Answers
Step-by-step explanation:
Collect like terms: 6∧x - 3∧x - 1/ 18∧x · 2
3∧x - 1/ 18∧x · 2
Calculate the product: 3∧x - 2/ 18∧x
Find common denominator: 54∧x/ 18∧x - 2/ 18∧x =
54∧x - 2/ 18∧x
PLEASE HELP
Question 1 options:
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answers
Answer:
28.574
Step-by-step explanation:
18.2 x 3.14 then divied by 2
Which letter represents 1/8 on the following number line ?
Answers
Answer:
the answer is p
Step-by-step explanation:
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this...
Answers
Answer:
I solved question number 8.
a) p= 9
b) p = 17
I solved number 9 but I'm not sure about it
i) 119
ii) 14165
Is 16x2 - 16x + 4 a perfect square?
Answers
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
a class has eight boys and 12 girls. what is a ratio of boys to girls?
Answers
Answer:
8:12
Step-by-step explanation:
Answer:
8:12
= 2:3
hope
this
helps
r
3. Identify the vertical intercept of the graph. What does
it tell you about the situation?
Answers
Answer:
Vertical intercept of a graph
The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.
Step-by-step explanation:
btw so hard question mate, enjoy the answer
4. Evaluate f(x) = - 9x + 8 at the given value. f(5)
Answers
Answer:
-37
Step-by-step explanation:
f(x) = - 9x + 8
f(5) = - 9*5 + 8 = -37
Answer: -37
Step-by-step explanation:
f(5) = -9x + 8
f(5) = -9(5) + 8
f(5) = -45 + 8
f(5) = -37
Verify the identity shown below.
tan∅+cot∅=sec∅×csc∅
Answers
Answer:5
That is exactly correct! Just two things: First, tan,sin,cos, etc hold no meaning on their own, they need an argument. So just be sure to write tanx, cosx etc rather than just tan or cos.
Finally, you could save time on your proof by noticing on the fourth step that
1cosxsinx=1cosx1sinx=secxcscx
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Step-by-step explanation:
PLEASSSSEEEEEEEEE HELLLLLPPPPPPPPPPPPPPP
Q what is 2+2
A A.4 B. 1 C 2 D 3
Answers
Use point-slope form to write an equation of the given line. Solve the equation for y.
у
Х
Answers
farmer johnson is planting a garden in the park. he has a square garden bed that is 21 feet long. He divides the bed into squares for vegetables. The squares are 3 by 3 feet long.How many different vegetable squares could he have?
Answers
Answer:
3
Step-by-step explanation:
3x3=9
21/9= 3
The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.
Answers
Answer:
40 m²
Step-by-step explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²
The given formula can be used to determine the volume of a cylinder V= BH = Area
Answers
Answer:
5626.9 m cubed
Step-by-step explanation:
I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you
Answers
Answer:
Step-by-step explanation:
Im going to assume they want x+108.
You have 2 expressions sitting on a line, so when added to each other they must = 180
So add and set up an equality
x+108+x+78=180
Combine like terms
2x+186=180
Solve
2x+186=180
-180 -180
2x+6=0
-6 -6
2x=-6
________
2
x=-3
Substitute X for -3
-3+108=
105.
hamid has gain weight he now weighs 88kg
Answers
Answer: what’s the question?
Step-by-step explanation:
y = x + 2
y = -5/2x-5
Answers
{ y = -5/2x - 5
x + 2 = -5/2x-5
x = -2
y = -2 + 2
y = 0
(x,y) = (-2,0)
——
Check for solution
{ 0 = -2 + 2
{ 0 = -5/2 (-2) - 5
{ 0=0
{ 0=0
(a+13)(a-8) using standard formulae expand
Answers
R1 V
Х
Х
Complete the following table, by using x for no and ✓ for yes:
N No. Z
Q 04 R
e.g.: 0
✓ ✓ ✓
-6 X X
0,12543
V2
1
4
22
7
V-8
5
끓
0,999....
Answers
Answer:
✓ ✓ ✓
-6 X X✓ ✓ ✓
-6 X X
Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?
Answers
Answer:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
The vertices of the quadrilateral ABCD are;
A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)
The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0
The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1
The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²) = √2
The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0
The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1
The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²) = √2
Therefore;
The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]
Given that the slope of a line gives the inclination of the line on a graph, we have;
The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]
Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.
The value of a boat is $23,400. It loses 10% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
Answers
Answer:
Value of boat = $23,400
Loss of value by boat per year = 8%
To find: - Monthly percent decrease in value of boat.
Solution: - Decrease of value per year = 8% of $23,400 = $1,872. Monthly decrease in value = $1,872/12 = $156. Monthly percentage decrease = ($156/$23,400) * 100 = 0.6667 or 0.67 (rounded to nearest hundredth)
Step-by-step explanation:
Leila needs to buy plastic spoons. Brand A has a box of 25 spoons for $1.97. Brand B has a box of 48 spoons for $2.98. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answers
Answer:
The unit price is the price of a single unit.
To find it, you need to find the quotient between the total price and the number of objects you get for that price.
Brand A:
You get 25 spoons for $1.97
Then the unit price is:
unit price of brand A = $1.97/25 = $0.079
Brand B:
You get 48 spoons for $2.98
Then the unit price is:
unit price of brand B: $2.98/48 = $0.062
Here we can see that the unit price for brand B is smaller, then the better buy is brand B.
Factorize i) 6y² - 24 y
Answers
Answer:
6y (y + 4)
(pick out the common factors) \
hope its righ!
Hope it helps you ❤️. ❤️❤️❤️❤️
AC =using the Distance Formula
A. 10
B. 5
C. 15
Answers
Answer:
√41
Step-by-step explanation:
Here we want to find the value of AC
A = (-4,0)
C = (1,4)
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
D = √(4-0)^2 + (1-(-4)^2
D = √4^2 + 5^2
D = √(16+25)
D = √41
——-PLEASE HELP W/ EXPLANATION——-
Answers
Answer:
I think it is 94 hope it works
Express the recurring decimal 0.136 as a fraction in its simplest form.
Write your working in the box, below, and use x in the working.
Write fractions using the / sign. Eg you would write as 1/2
Answers
Explanation -
X = 0.136136136...
10x = 1.36136136
100x = 13.6136136...
1000x = 136.136136..
1000x - x = 999
136/999
Please pls help me :(
Answers
Im on that to, maybe i can help you !! :)
VERY EASY !!!!!!!!! ASAP
Answers
Answer:
onkine survey tool i think
Answer:
cookies
Step-by-step explanation:
An artist can create 4 pieces of pottery in 2 hrs. What is the artists unit rate in minutes without units?
Answers
Answer:
2 piece per hour
Step-by-step explanation:
Given data
Quantity= 4 pieces
time= 2 hours
Required
The unit rate
rate= quantity/time
rate= 4/2
rate= 2 piece per hour
Tom made $450 selling CDs last month. That total increased to $513 this month. What was the percent increase? (pls answer)
Answers
Answer:
14%
Step-by-step explanation: