Answers
Answer:
For ∆1 , x = 20 , y = 10√2
For ∆2 , x = y = 11
Step-by-step explanation:
Here in the first right angled triangle one of the angles is 45°. And one of the known side is 20 . We need to find out the value of x and y.
Since two angles are 90° and 45° , therefore the third angle will be 45° . And as we know that the sides opposite to equal angles are equal. Therefore ,[tex]\rm\longrightarrow \underline{\underline{ x =20}}[/tex]
Again , we use ratio of sine to find y , as ,
[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]
[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{20}{y}\\ [/tex]
[tex]\rm\longrightarrow y =\dfrac{20}{\sqrt2}=\dfrac{2\times 10}{\sqrt2}\\ [/tex]
[tex]\rm\longrightarrow \underline{\underline{ y = 10\sqrt2}} [/tex]
[tex]\qquad\rule{200}2[/tex]
Again , in the second Triangle , we may use ratio of sine to find the value of y , as ;
[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]
[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{y}{11\sqrt2}\\ [/tex]
[tex]\rm\longrightarrow y =\dfrac{11\sqrt2}{\sqrt2}\\ [/tex]
[tex]\rm\longrightarrow \underline{\underline{ y = 11}} [/tex]
Again , we know that the sides opposite to equal angles are equal . Therefore here ,[tex]\rm\longrightarrow \underline{\underline{ x =11}}[/tex]
Related Questions
The vertices of AXYZ are X(1, –4), Y(-2, -1), and Z(3, 1). For the
translation T-4.-3) (AXYZ), give the vertices of AX'Y'Z'.
()
Answers
Answer:
X'₍₋₃ , ₋₇), Y'₍₋₆ , ₋₄), Z'₍₋₁ , ₋₂₎
Step-by-step explanation:
X₍₁ , ₋₄₎ translation T₍₋₄ , ₋₃₎ => X'₍₁₊ ₋₄ , ₋₄₊ ₋₃₎ => X'₍₋₃ , ₋₇)
Y₍₋₂ , ₋₁₎ translation T₍₋₄ , ₋₃₎ => Y'₍₋₂ ₊ ₋₄ , ₋₁₊ ₋₃₎ => Y'₍₋₆ , ₋₄)
Z₍₃ , ₁₎ translation T₍₋₄ , ₋₃₎ => Z'₍₃₊ ₋₄ , ₁₊ ₋₃₎ => Z'₍₋₁ , ₋₂)
A trolley charges $3.00 just to get in the car and $1.00 for each mile traveled. How much would it cost to travel 5 miles? 8 miles? 20 miles?
Answers
Answer:
5 miles = $8
8 miles = $11
20 miles = $23
Step-by-step explanation:
If admission is 3 dollars, then we already know that is the minimum we have to pay. The rest of the money we spend on the trolley depends on how many miles we travel on it. If each mile is 1 dollar, then we can use a variable to represent the number of miles since there are numerous possible answers.
The basic equation to represent the scenario is:
3 + x
Since x represents the amount of miles traveled, we can replace it with 5, 8, or 20.
3 + 5 = 8 dollars
3 + 8 = 11 dollars
3 + 20 = 23 dollars
please help me I don’t get it and It has to be turned in in 15 mins
How do you graph Y= -3 +6
With this graph
Answers
Answer:
a horizontal line at three on the y axis
Step-by-step explanation:
In 1990, a donut shop sold 500 donuts per day. In 2000, they sold 700 donuts per day. Assuming a linear relationship, how many donuts did they sell per day in 2015?
Answers
Answer:
1,000
Step-by-step explanation:
In 1990, 500 donuts were sold per day. In the year 2000 the number of donuts sold went up by 200 to reach 700 donuts per day. Since we are to assume it's a linear relationship, it would mean that every ten years the number of donuts sold would go up by 200/day. In 2010 the shop would be selling 900 donuts per day. So, in 2015, The shop would be selling 1,000 donuts per day since only 5 years had passed since 2010 and after 5 years it would only go up by 100/day.
(20+1 )*15 - 300*15= ?
PLEASE HELP!!
Answers
At the beginning of the month we had a current account of € 467. After withdrawing five identical amounts from the account, we were left with € 88. How Much Money Do We Make Every Time?
Answers
Answer:
€75.80
Step-by-step explanation:
Start with €467.
End up with €88.
Total amount withdrawn:
€467 - €88 = €379
The total amount was withdrawn in 5 equal amounts.
Each amount taken is:
€379 ÷ 5 = €75.80
What is the point-slope form of a line with slope 4/5 that contains the point (-2, 1)?
A. y - 1 = 4/5(x + 2)
B. y + 1 = 4/5(x - 2)
C. y - 1 = 4/5(x - 2)
D. y + 1 = 4/5(x + 2)
Answers
Hi! Let me help you! :)
We are given the slope of the line and a point that it passes through.We can use the Point-Slope formula:y-y1=m(x-x1)y-1=4/5(x-(-2)y-1=4/5(x+2)Answer:
y-1=4/5(x+2)
Hope you find it helpful.
~Nature~
Enjoy your day! :)
Please help on 19 this needs to be finished tonight and I’m desperate I need help really bad my mom doesn’t understand this and my dad knows how to do it but can’t explain it and I don’t have any older siblings so I’m on my own when it comes to math please help me please
Answers
Step-by-step explanation:
[tex](4 {x }^{2} + 3 {y}^{2} ) {}^{0} \\ rule \: of \: zero = {x}^{0} = 1 \\ answer = 1[/tex]
How far to get to the the coldest place on Earth?
Answers
Answer:
Oymyakon is the coldest permanently-inhabited place on Earth and is found in the Arctic Circle's Northern Pole of Cold. In 1933, it recorded its lowest temperature of -67.7°C.
hope it will help
can somone help me with tjis pls
Answers
Answer:
LinePlanePlease mark as Brainliest
By using the definition of collinear and coplanar points, we will see that
7) Collinear points: All lie on the same line.8) Coplanar points: All lie on the same plane.What do collinear and coplanar mean?We say that a given set of points is collinear if all the points belong to the same line, just to give an example, any pair of two points is collinear, as we always can find a line that passes through two points.
On other hand, a set of points is coplanar if the points lie on the same plane. Remember that a plane is defined by a line and a point outside of it.
With these definitions in mind, we can answer:
7) Collinear points: All lie on the same line.8) Coplanar points: All lie on the same plane.If you want to learn more about collinear and coplanar, you can read:
https://brainly.com/question/1593959
what is two ways to rewrite 21x^2 -42x +14 in equvalent form? i really need help here lol-
Answers
Answer:
7(3x^2-6x+2)
Step-by-step explanation:
21, 42, 14 they can be divided by 7 so we put 7 out
A camera has a listed price of $801.99 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$870.16 dollars
Step-by-step explanation:
Given the following question:
Original cost = $801.99
Sales tax of 8.5%
In order to find the answer, we find 8.5% of the original cost of the camera. After that, we simply add that number to the original cost of the camera to find our answer.
[tex]\frac{8.5\times801.99}{100} =8.5\times801.99=6816.915\div100=68.16915[/tex]
[tex]68.16915[/tex]
[tex]9>5[/tex]
[tex]68.17[/tex]
Sales tax is $68.17
[tex]801.99+68.17=870.16[/tex]
Total price for the camera including tax is "$870.16."
Hope this helps.
Two quantities that form a proportion are?
Answers
9+16x=17x+4 solve for x
Answers
[tex]9 + 16x = 17x + 4 \\ 9 - 4 = 17x - 16x \\ 5 = x[/tex]
hope this helps!
~god bless you~
~diva~
Please help meeee!!!
Answers
Answer:
q.1. [tex]12[/tex]
q.2. [tex]72[/tex]°
q.3. [tex]KU=12[/tex]
Step-by-step explanation:
solve the linear system using elimination
4x - 3y = 8
5x - 2y = -11
Answers
Answer:X=-7 and y=-12
Step-by-step explanation:
The solution is in the file below
Can someone please help me?
Answers
2,0 -5,6
Liz has 28 coins in her pockets that are nickels and quarters. She has a total of $4.60. How much money does liz have in her pocket from nickels alone?
Answers
Answer: 12
Step-by-step explanation:
ignore the papers in the back lol
Please help! It's homework! Question 8.
Answers
Answer:
2467 = 200 (1.67) 2000
Step-by-step explanation:
diver theat ovlqmeIf you know the circumference of a circle how do you find diameter?
Answers
Answer:
circumference of a circle = [tex]\pi[/tex]d
Step-by-step explanation:
circumference of a circle = 2[tex]\pi[/tex]r
where r = radius
diameter of a circle d = 2r
where r = radius
Therefore, circumference of a circle = [tex]\pi[/tex]d
How do I find the value of x?? please help
Answers
Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*
180* - 160* = 20*
Answer: x = 20*
13 is 65% of what number?
Answers
Answer:
20
Step-by-step explanation:
set up equation
13/x=65/100
cross multiple: 1300=65x
divide 1300/65=20
help me find the answer!! 2-step equation
Answers
[tex] \looparrowright \sf3\leqslant \dfrac{y}{ - 5} + 7[/tex]
[tex] \looparrowright \sf3 - 7\leqslant \dfrac{y}{ - 5} [/tex]
[tex] \looparrowright \sf - 4\leqslant \dfrac{y}{ - 5} [/tex]
[tex] \looparrowright \sf - 4 \times - 5\leqslant {y}[/tex]
[tex] \looparrowright \sf 20\leqslant {y}[/tex]
name the points, lines and planes in the given figure.
Answers
Hello!
name the points,
A,B,C,D, E,F, G H
lines
AB,AD, BC, DC, AE, BF, CG, DH, EH, EF, HG, GF
and planes in the given figure.
ABCD, AEHD, BFGC, EHGF
A car salesperson had $79,327 in total monthly sales in June and $88,798 in July. The salesperson earned $3,890 in commission from those combined sales.
What is the salesperson's commission as a percent of total sales for the two months?
Enter your answer, rounded to the nearest tenth of a percent, in the box.
%
Answers
Answer:
its 2.3%
Step-by-step explanation:
i did the test
Answer:
2.3%
Step-by-step explanation:
I took the test and forgot to submit my answer lol
what is the gradient of the blue line ??
Answers
Answer:-5
Step-by-step explanation:
The solution is in the attached file below
The gradient of the blue line that passes through the points (-1, 0) and (0, -5) is -5.
What is the slope ( gradient ) of the line?The Slope (gradient) is simply expressed as a change in y over the change in x.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
The blue line in the graph runs through points (-1, 0) and (0, -5).
To find the gradient (slope) of the blue line passing through the points (-1, 0) and (0, -5), we use the slope formula.
Point (-1,0): x₁ = -1 and y₁ = 0
Point (0, -5): x₂ = 0 and y₂ = -5
Plug the coordinates into the above formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{-5 - 0}{0 - (-1)}\\\\Simplify:\\\\m = \frac{-5 - 0}{0 + 1}\\\\m = \frac{-5}{ 1}\\\\m = -5[/tex]
Therefore, the slope is -5.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ2
The area of a rectangular rug is 21 square feet. The perimeter is 20 feet. What are the dimensions of the rug?
Answers
Answer: The length is 7, the width is 3.
Step-by-step explanation:
7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.
7+7 is 14,
3+3 is 6
14 + 6 is 20 which is the perimeter.
Question 1 of 10
Which inequality represents all values of x for which the product below is
defined?
VX-6. Vx+3
O A. X2-3
O B.X26
O c. x20
O D. Xs6
Answers
Answer:
B. x ≥ 6
Step-by-step explanation:
The value √(x-6) is only defined for x ≥ 6, where the argument of the square root function is non-negative.
Similarly, the value √(x+3) is only defined for x ≥ -3.
The product can only be computed where both functions are defined:
(x ≥ 6) ∩ (x ≥ -3) = x ≥ 6
what is ratio of perimiters
Answers
Answer:
Ratio of their perimeters is equal to the ratio of their corresponding side lengths. the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.
Want to be friends. Just asking
Answers
Answer:
yes I know is that possible
Answer
sure
Step-by-step explanation: