Answer:
X=2.46
Step-by-step explanation:
In the diagram below, BC = QR = x, AC = PR = y, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
y у
y
B
R
х
Q
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to cho
from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°
What is the Pythagroean Theorem?The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.
Since we know that ΔPQR is a right triangle, then:
x² + y² = PQ²
We are also given that x² + y² = z², so by substitution, we have:
z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.
Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.
Learn more about the Pythagorean theorem on:
https://brainly.com/question/343682
#SPJ2
The cost of a new television is $948. If the value of the television decreases by 4.5 every year, which function models the value of this television x years after it was purchased?
Wendy randomly chooses a positive integer less than or equal to 2020. The probability that the digits in Wendy's number add up to 10 is m/n, where m and n are relatively prime positive integers. Find m+n.
Answer:
107
Step-by-step explanation:
Probability = numbers that add up to 10 / total of numbers
There are 120 positive integers between 1 - 2020 that add up to 10.
120 / 2020
convert to its simplest form by dividing by 20
6 / 101
m + N = 101 + 6 = 107
What is the minimum?
Awnsers:
48
50
45
49
34
Answer:
45
Step-by-step explanation:
help and pls get it right
Answer:
V= 32Step-by-step explanation:
Multiply all lengths and the answer will be your volume.
2 x 2 x 8 = 32
Answer:
32 in ^3
Step-by-step explanation:
5 1/2in
10in
6 1/4in
Answer:
5 1/2in
10in
6 1/4inhhjghtdddyggkkjh
Johnny bought 10 cupcakes for 12 dollars, how much would 15 cost?
Answer:
18
Step-by-step explanation
10=12
must mean 5=6
12+6=18
15=18
18 dollars
he also has diabetes and drinks diet coke
solve for x
10/3=x/(-5/2)
Answer:
X=(10/3)*(-5/2)
X=-8.33
Answer:
-25/3
Step-by-step explanation:
khan said so
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rhombus
3x - 4 = 17
3x = 21
x = 7
there is no y
Mr. Jackson paid for his purchase of fishing equipment with $75. He bought 16 weights and 24 packages of worms. The cost of each weight was $1.16, and the cost of each package of worms was $2.25. How much change should Mr. Jackson receive?
Answer:
2.44$
Step-by-step explanation:
75$ - 18.56 (weights) = 56.44
56.44$ - 54 (worms) = 2.44$ extra
whst number represents 3.5 x 10^9
Answer:
B - 3,500,000,000
Step-by-step explanation:
no explanation provided
Light travels at approximately 2.998 x 10^5 kilometers per second. There are 6.048 x 10^5 seconds in one week. About how many kilometers does light travel in one week?
A 1.813 x 10^5
B 1.813 x 10^10
C 1.813 x 10^11
d 1.813 x 10^25
Points (-3, 3) and (2, -9) are located on the coordinate plane. What is the distance between these two points?
Answer:
13
Step-by-step explanation:
pythagorean theorem, draw a vertical and horizontal line 5^2+12^2= 13^3
PLZ HELP!!! I’ve retaken this like 4 times and I just don’t get it I need the answer plz
Answer:
a) 65 degrees
b) 60 degrees
Hope that helps! Good luck! :)
-Aphrodite
Step-by-step explanation:
Complete the sentence below.
The amplitude of the graphs of the sine and cosine functions is __
and the period of each is
__
The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.
And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.
The amplitude of each of the graphs of the sine and cosine functions is 1
The period of each of the graphs of the sine and cosine functions is 2π.
By definition, the amplitude of the graphs of the sine and cosine functions is defined as the vertical distance between the x - axis which is also called the sinusoidal axis and the peak value which is the maximum or minimum points located on the graph curve function. The basic graphs of sine and cosine function are the same and they have an amplitude equal to 1. By definition, the period of the graphs of the sine and cosine functions is defined as the the distance between two peaks of the graph or the period for which the graph repeats. In this case the time period is always 2π.Read more at; https://brainly.com/question/3919296
What is the value of 3x +2 when x = 5
Answer:
17
Step-by-step explanation:
Always put questions like these with an equal sign
3x + 2 = ?
plug in x value (x = 5)
3(5) + 2 = ?
solve
15 + 2 = ?
answer
17 = ?
Step-by-step explanation:
hope it helps you have a nice dayhelp me please ill choose brainliest if bestt
15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5
A. y = 3x
B. y = [tex]\frac{10}{x}[/tex]
C. x = [tex]\frac{y}{3}[/tex]
D. y = [tex]\frac{x}{10}[/tex]
Answer:
y=10/x
Step-by-step explanation:
Y=k/x
Y=2 & x=5 implies k=10
Hence, y=10/x is the desired equation of the hyperbola
...................................................................................................................................................
Answer:
The equation is and y = 2 , x = 5 the value of k is 10 .
Step-by-step explanation:
As given
y varies inversely with x.
Where k is the constant of proportionality .
Thus the equation for the inverse variation .
As given
y = 2 when x = 5
Put all the values in the equation .
k = 2 × 5
k = 10
Thus the constant of variation is 10 .
Therefore the equation is and when y = 2 , x = 5 value of k is 10 .
...............................................................................................................................................
y
=
10
x
Explanation:
y
varies inversely with
x
⇒
y
∝
1
x
∴
y
=
k
x
y
=
2
,
x
=
5
gives
2
=
k
5
⇒
k
=
2
×
5
=
10
y
=
10
x
Answer link
...............................................................................................................................................
Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for any x
...............................................................................................................................................
The answer is y=10/x
please help me out thank you so much whoever does !!
Answer:
62°
Step-by-step explanation:
A right angle is 90 degrees, so we'd do 90 - 28 = 62
hope this helps!
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
Answer:
72 kg
Step-by-step explanation:
For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?
We are given the ratio
cement: sand:stones
= 1:2:4
The sum of proportion =
1 + 2 + 4 = 7
We are given the kg of sand = 144kg
Step 1
We find the total kg of cement, sand and stones = x
Using the proportion of sand,
2/7 of x = 144kg
2/7 × x = 144kg
2x/7 = 144kg
Cross Multiply
2x = 7 × 144kg
x = 7 × 144kg/2
x = 504kg
Therefore the total kg of cement, sand and stone = 504kg
Step 2
The amount of cement required is calculated as:
1/7 × 504 kg = 72 kg
Therefore, 72kg of cement is required.
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15 feet above him. What is Tristan's depth?
Answer:
Tristan is 18 feet below the surface. or Tristans depth is -18ft
Step-by-step explanation:
if Nick is -33 depth and Tristan is 15 feet above him, then you d
-33+15 = -18
so Tristan must be at -18 depth
Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book? PLEASE HELP MEEEEE!!
Answer:
Harry needs to read 199 more pages
Step-by-step explanation:
2/3 x 597 = 398
597 - 398 = 199
Someone help plz make sure it’s right will mark brainiest if it is
Answer:
B 33°
Step-by-step explanation:
sin x = 29/53
= 33.17
Which is a reasonable estimate for 7473 - 2875
Answer: the answer is 4,598.
Susanna baked a cake she and her family ate ⅜ of the cake and gave ⅛ of the cake to her neighbor to eat how much cake does susanna have left
Answer:
They would have 4/8 left or 1/2 reduced
Step-by-step explanation:
Because they ate almost half then gave the last bit to the neighbor so they have 4/8 of there cake left or reduced 1/2 of their cake left
Find the surface area and leave your answer in terms of TT=pi
14 mm
29 mm
a
ОООО
800 pi
1357pi
1147 pi
1204 pi
Evaluate the expression below for x = 4 6 (x +7)
Answer:
D. 66
Step-by-step explanation:
6×(4+7)
6×11
=66
[tex]10 \times 10 + 8 - 6 + 5 = [/tex]
[tex]6 - 5 \div 6 + 9 = [/tex]
[tex]4 + 4 - 4 + 4 + 5 = [/tex]
Randall has a box that measures 12 inches × 9 inches × 8 inches. If Randy wants to cover the box with aluminum foil, how much foil will it take to cover the entire outside of the box?
Answer:
[tex]A=552\ inches^2[/tex]
Step-by-step explanation:
The dimensions of a box measures 12 inches × 9 inches × 8 inches.
We need to find the area of the aluminium required to cover the entire outside of the box.
We know that the surface area of the cuboidal box is given by :
[tex]A=2(lb+bh+bl)\\\\=2(12\times 9+9\times 8+8\times 12)\\\\=2\times 276\\\\=552\ inches^2[/tex]
So, the required area of the foil is equal to [tex]552\ inches^2[/tex].
Hiiiooo! Can someone please help me out with this!❤️
Answer:
8
Step-by-step explanation:
6² + b² = 10²
36 + b² = 100
-36 -36
b² = 64
[tex]\sqrt{64}[/tex] = 8
b² = 8
hope this helps