Answer:
UV = 4; VW = 7, UW ≈ 8.06
m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°
Step-by-step explanation:
Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.
UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√
Square.
UW=16+49‾‾‾‾‾‾‾√
Simplify.
UW=65‾‾‾√
Use a calculator to approximate.
UW≈8.06
Therefore, UW≈8.06.
Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.
UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√
Square.
UV=16+0‾‾‾‾‾‾√
Simplify.
UV=16‾‾‾√
Simplify.
UV=4
Therefore, UV=4.
Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.
VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
Simplify.
VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√
Square.
VW=0+49‾‾‾‾‾‾√
Simplify.
VW=49‾‾‾√
Simplify.
VW=7
Therefore, VW=7.
The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.
Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.
Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.
Therefore, m∠V=90°.
By the definition of tangent, tan∠U=VWUV.
Take the inverse tangent of both sides.
m∠U=tan−1(VWUV)
Substitute 7 for VW and 4 for UV.
m∠U=tan−1(74)
Use a calculator to calculate the inverse tangent.
The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.
m∠U≈60°
Therefore, m∠U≈60°.
The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.
The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.
So, m∠U+m∠W=90°.
Substitute 60° for m∠U.
60°+m∠W≈90°
Subtract 60° from both sides.
m∠W≈90°−60°
Simplify.
m∠W≈30°
Therefore, m∠W≈30°.
Serena paid $194.99 for a game system and then bought two equally price games. If she spent a total of $284.97, what is the price, P, of one game? Right and solve an equation
Answer:
44.99
Step-by-step explanation:
284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.
I need help plz......I'll give brainliest:
The sum of two numbers is 44. The smaller number is 12 less than the larger number. What are the numbers?
x+(12+x)=44
2x+12=44
2x=32
x=32/2
x=16
The two numbers are 16, 28
Hope I helped :)
what is 69% of 69 what is 69% of 69
Answer:
69% of 69 is 47.61 :)
Need help please and thank you
Perimeter= 4x+8 and Area= 2x+1x^2+2
I posted a photo on how I found these two answer.
Hope this helped
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
Tom created a mixed-media mural of a flag to celebrate the 4th of July. He spent $57 on paint and 4 times as much on fabric. How many money did he spend altogether?
Answer:
$285
Step-by-step explanation:
57 by 4 is 228 then add 57 to 228 which is 285
it’s sad when I help people because they can’t do the same thing for me pls just for once answer this pls :(((((((
Answer:
D
Step-by-step explanation:
It compares two values.
Hope this helps!
Answer:
D because it have asked the question
When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:
Answer:
11
Step-by-step explanation:
Work backwards and reverse the operations to find the original number.
Reverse the operations for add four: 8 - 4 = 4
Reverse the operations for take the square root: 4² = 16
Reverse the operations for subtract six: 16 + 6 = 22
Reverse the operations for double the number: 22 ÷ 2 = 11
Which of the following number is odd? *
A. 68,458
B. 92,162
C.28,952
D. 28,923
Answer:
D. 28,923
Step-by-step explanation:
We are given four numbers and are asked to find out which number is odd.
An odd number is a number that cannot be split evenly, if it is split, it will end up in either a fraction or a decimal.
Even numbers are the opposite, so which would be the answer?
This would be D. 28,923. 28,923 divided by 2 gives you a decimal. Which is 14461.5, all the other choices give you whole numbers.
what is the answer to this ?
-25x + 40
Step-by-step explanation:
-8 (4x-5) + 7x
-32x + 40 + 7x
-32x +7x + 40
-25x + 40
what is this polygon called and is it a regular polygon or irregular polygon
Answer:
hexagon because it have 6 sides
Step-by-step explanation:
it is irregular because it sides are not equal
THIS POLYGON IS IRREGULAR BECAUSE THIS IS HEXAGON AND IT IS IRREGULAR
an hexagon is a six sided irregular polygon
What is polygon?
a simple closed curve which does not interest itself made up if only line system is called a polygon
REGULAR POLYGON- polygon whose all side are of equal length and all angles are of equal measure
are called regular polygon
EX - SQUARE
IRREGULAR POLYGON- polygon which are not regular are called a regular polygon quadrilateral and Isosceles triangle is an example
please help, this is really important if you could show work that would be amazing :))
Step-by-step explanation:
step 1. x = 70° (alternate interior angles)
step 2. y = 90° (same side interior angles).
Katherine has a fish tank shaped like a triangular prism in her living room. The triangle that forms the base of the tank has a base of 24 inches and a height of 20 inches. The entire tank is 36 inches tall. What volume of water is needed to fill the tank if the tank is only filled to 6 inches below the top?
Answer:
[tex]Volume = 7200in^3[/tex]
Step-by-step explanation:
Given
[tex]B = 24[/tex] --- base of the tank base
[tex]h = 20[/tex] --- height of the tank base
[tex]H = 36[/tex] --- height of the tank
Required:
Determine the volume of water needed for 6 inches below the top
First, calculate the area of the tank base.
[tex]Area = \frac{1}{2}Bh[/tex]
[tex]Area = \frac{1}{2}*24*20[/tex]
[tex]Area = 12*20[/tex]
[tex]Area = 240[/tex]
If the tank is filled 6 inches below the top, this means that the height of the water is H - 6.
So, the volume is:
[tex]Volume = Area * (H - 6)[/tex]
Substitute 240 for Area and 36 for H
[tex]Volume = 240 * (36 - 6)[/tex]
[tex]Volume = 240 * 30[/tex]
[tex]Volume = 7200in^3[/tex]
Which expression is equivalent to (b^n)^m?
Answer:
(a^m)^n = a^mn ( I think sum like that)
Step-by-step explanation:
Apply the power rule and multiply exponents.
Simplify:
3b - 3 and 3.5b + 4
Step-by-step explanation:
3b-3=3(b-1)
3.5+4=7,5
1.N% of 40 is 10. Solve for N. Just put the number.
2.Mia finished 60% of her homework in 45 minutes. how many minutes will it take her to complete all of her homework? Remember her total homework is 100%
Step-by-step explanation:
N% of 40=10N/100×40=10
N=10×100/40=25
2.
60%of homework=45min
1%of homework=45/60=3/4min
100%of homework =3/4 ×100=75 min
A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?
Answer:
Step-by-step explanation:
There are three times as many orange cats as black and white cats,
o = 3(b + w)
two times as many black and white cats as grey cats,
b + w = 2g
three fewer gray cats than white cats,
g = w - 3
three times as many white cats as calico cats,
w = 3L
and five white cats
w = 5
There is a problem with this.
There are 5 white cats.
There are 3 times as many white cats as calico cats.
That means there are 5/3 calico cats.
How can the number of a certain type f cats be a non-whole number?
It seems that the number of white cats must be a multiple of 3, but 5 is not.
Answer:
hi
Step-by-step explanation:
Write 7,062.01 in expanded form
Which THREE statements describe how to find the product of 5×103?
Answer:
multiply 5×1,000 B multiply 5×10 three times and then add the products C move the decimal point in the number five, three place values to the left D move the decimal point in the number five, three place values to the right E move the digit 5, three place values by adding three zeroes to increase its value.
Answer:
Three statements to find 5x103=515
Step-by-step explanation:
5x(100+3)5x((25x4)+3)5x((50x2)+3)How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.
Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.
Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.
Answer:
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601
Step-by-step explanation:
The Smith Family and the Jones family went to a buffet dinner at a restaurant. The restaurant charges one price for adults and another price for children. The Smith family has two adults and three children, their bill was $40.50. The Jones family has three adults and one child, and their bill was $38.00. Determine the price of one adult and one child ticket.
8Answer:
5
Step-by-step explanation:
Simplify the expression. Drag and drop a number into each box to complete the simplification.
Answer:
The first one is 3, the second one is 9, the third box is 63 and the last box is 67
mid-segment definition
Answer:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle.
Step-by-step explanation:
hope this helps :)
Which of the following is a solution for
f + 8 < 10
Answer: there are no answer choices but f > 2
Step-by-step explanation:
Your teacher is giving a test that has 5 more four-point questions than six-point questions.
The test is worth 120 points. Which system represents this information?
Answer:
x-y=5
4x+6y=120
Step-by-step explanation:
let x = # of 4-point questions
ley y = # of 6-point questions
# of 4-point questions is 5 more than # of 6-point questions
x=y+5 or x-y=5
now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:
4x+6y=120
The System of Equation is
x-y=5
4x+6y=120
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be number of 4-point questions.
ley y be number of 6-point questions.
as, the 4-point questions is 5 more than 6-point questions
So, x=y+5
or x-y=5.................(1)
Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.
So, 4x+6y=120....................(2)
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
what is the decimal word form of 120.95?
please help me i have no idea how to do this and i’m failing
Answer:
x = 6.4
Step-by-step explanation:
ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4
Answer:
x=5
Step-by-step explanation:
see image
i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.
I need help how to get the answer please help!
Answer:
w=10
Step-by-step explanation:
You would have to set 5w-4=46.
5w-4=46
Add 4 to both sides
5w=50
Divide both sides by 5
w=10
Answer:
W=10
Step-by-step explanation:
5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there
Evaluate the expression when a=5 and b= -5.
-a +8b
