4.Beyunka is creating a diagram to prove that a certain triangle is a right triangle.
In her diagram, she uses three white quadrilaterals that are squares. Which
diagram could be the one that Beyunka is creating?
Option 'D' is the correct option.
The correct diagram for Beyunka creating is given in option D.
What is Right triangle?
When an angle of a triangle is measure 90 degree then the triangle is called a right triangle.
Given that;
Beyunka is creating a diagram to prove that certain triangle is a right triangle.
Since, The right triangle is satisfy the Pythagoras theorem.
Now, By option D;
Let sides of a triangle are,
Hypotenuse (H) = c
Perpendicular side (P) = a
Then, The base of the right triangle = √H² - P² = √c² - a²
And, All other diagrams are not satisfy the Pythagoras theorem.
Thus, The correct diagram for Beyunka creating is given in option D.
Learn more about the right triangle visit:
https://brainly.com/question/15249087
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can anybody tell me if this is correct please? thank you.
Answer:
Yep
Step-by-step explanation:
You're correct, Well done!
Answer:
Yes that is correct!
Step-by-step explanation:
(38 x 25)/100 = $9.50
38 - 9.50 = $28.50
hello, i need to solve for x on this one
Answer:
x = 12.1532°
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite Leg = 4
Hypotenuse = 19
Step 2: Solve for x
Substitute in variables [sine]: sinx = 4/19Inverse trig: x = sin⁻¹(4/19)Evaluate: x = 12.1532°Can someone please help me out with the last one
ASAP I WILL GIVE OUT BRAINLY
Answers:
x = 7Area of shaded region = 162 square unitsYou may need to leave off the "square units" portion.
=============================================
Explanation:
For now, ignore the smaller rectangle and its dimensions. The larger rectangle has sides 3x and x+5, which I'll call the length and width.
L = 3x
W = x+5
The perimeter of any rectangle is P = 2(L+W). Plug in those values of L and W, and also the given perimeter P = 66. Isolate x.
P = 2(L+W)
2(L+W) = P
2(3x+x+5) = 66
2(4x+5) = 66
8x+10 = 66
8x = 66-10
8x = 56
x = 56/8
x = 7
-------------------
Now that we know x, we can find the area of the rectangles.
As you probably can guess, the shaded region is the difference of the two areas.
A = area of larger rectangle
A = (length)*(width)
A = (3x)*(x+5)
A = (3*7)*(7+5)
A = 252
B = area of smaller rectangle
B = (x+3)*(x+2)
B = (7+3)*(7+2)
B = 90
C = area of shaded region
C = A - B
C = 252 - 90
C = 162 square units is the area of the shaded region.
You get a gift of $1,000. You decide that you want to invest all of the money in a savings account. However, your bank has two different savings plans. Determine the final amount in the account for each plan in 5 years. Round your answers to two decimal places if needed.
Plan A: The bank gives you 4% interest rate and it is compounded every two months.
Plan B: The bank gives you a 10% interest rate and compounds the interest every 6 months.
Final Account balance for Plan A: $
Final Account balance for Plan B: $
Step-by-step explanation:
write what you know
P = 1,000
n = 5 years
Plan 1
i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%
write and solve
future value = p(1+i)^n = 1000(1+0.24)^5
plan 2
i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%
write and solve
future value = p(1+i)^n = 1000(1+0.20)^5
I need help with number 15 and 18 it’s due today please help me!
Answer:
15. A. Communtative
18. A. (n . 60) + (n . 5)
Step-by-step explanation:
15. Commutative property states that, if the order of positions of number is changed while performing addition or multiplication, the result remains unchanged.
18. n.65 = (n.60) + (n.5)
Please help
(x + 7/2) = (I don't what sign it is but it says plus minus square root sign over 5/2)
Answer:
Step-by-step explanation:
Hope this helps u!!
A refrigerator is sold for $1998 and a 11% profit is made.
Find the original cost of that refrigerator.
Answer:
Cost Price = $1800
Step-by-step explanation:
Let cost price (CP) be x
Selling price(SP) = 1998
Profit = Selling price - cost price = 1998 - x
[tex]profit \% = \frac{SP - CP}{CP}[/tex]
[tex]\frac{11}{100} = \frac{1998-x}{x}[/tex]
[tex]0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800[/tex]
Nicky wants to surround a 25 in. by 16 in. painting with a frame that is w inches wide. Which quadratic function represents the combined area A of the picture and the frame?
A. A(w) = 4w2 + 32w + 400
B. A(w) = 4w2 + 42w + 400
C. A(w) = 4w2 + 64w + 400
D. A(w) = 4w2 + 82w + 400
Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
Given:
Length of painting = 25 inch
Height of painting = 16 inch
Width of frame = w inch
Find:
Area of Picture with frame
Computation:
New length of painting = 25 + w + w
New length of painting = 25 + 2w inch
New height of painting = 16 + w + w
New height of painting = 16 + 2w
Area = l x b
So,
Area of Picture with frame = [25 + 2w][16 + 2w]
Area of Picture with frame = 400 + 50w + 32w + 4w²
Area of Picture with frame = 4w² + 82w + 400
find the surface area of the given prism
Answer:
Hello! answer: 432
Step-by-step explanation:
12 × 8 = 96
12 × 8 = 96
12 × 6 = 72
12 × 6 = 72
8 × 6 = 48
8 × 6 = 48
Then you add them all up so...
96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!
The sum of two numbers is 84. One number is 6 more than the other. What is the smaller of the two numbers?
Answer:
The answer is 36. Say 42 + 42 is 84. Since one of the number is 6 more than the other, add 6 the first 42 and subtract 6 from the other number which will be 48 + 36 = 84. So the smaller of the two is 36.
Step-by-step explanation:
Patrick made a scale drawing of a newly planted hotel the height of the scale drawing is 27 inches what would be the actual height, in meters, of the hotel if it was constructed.
pls hurry lol
Answer:
0.6858 meters
Step-by-step explanation:
Which of the listed values are equal to the sine of C A.)b/a B.)c/a C.)c/b D.)cos B E.)5.Cos C F.)cos (90°-C) G.)cos(90°-B)
Answer:
Sine of C=?
Among the given options which is the correct one.
Step-by-step explanation:
Consider a right-angle triangle ABC.
[tex]angle B=90^{0}[/tex]
In a right angle triangle, one angle [tex]90^{o}[/tex].
The sum of all the angles is [tex]180^{o}[/tex].
[tex]angle A +angle B+angleC=180^{0}angleA+90^{0} +angle C=180^{0}\\angleA+angleC=180^{0} -90^{0} \\angleA+angleC=90^{0} \\angleA=90^{0} -angle C[/tex]
Consider the trigonometric ratios and use the traingle ABC.
[tex]SinC=\frac{AB}{AC}[/tex]
[tex]CosA=\frac{AB}{AC}[/tex]
[tex]angleA=angle(90-C)\\Hence,\\SinC=Cos(90-C)[/tex]
Answer:
OptionF).[tex]Sine of C=Cos(90^{0} -C)[/tex]
simplify each expression. State any excluded values, Show your work.
2x^2+6x/10x^3
help ༎ຶ‿༎ຶ
Answer:
[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]
Step-by-step explanation:
[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]
[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]
[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]
[tex]\\ 2x^{2} + \frac{3x^{4}}{5}[/tex]
[tex]\frac{5(2x^{2} )}{5} + \frac{3x^{4}}{5}[/tex]
[tex]\frac{5(2x^{2} )+3x^{4}}{5}[/tex]
[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]
[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]
Write x as a logarithm in the following: 10^x=7
Answer:
x = log 7
Step-by-step explanation:
10^x=7
Take the log base 10 on each side
log10 (10^x)=log10 (7)
We dont need to write the 10, it is implied
log(10^x)=log (7)
The exponent goes out front since log a^b = b log a
x log 10 = log 7
log 10 = 1 since the base is 10 log10(10) =1
x = log 7
Select the two figures that are similar to each other.
Help plz question in picture
Answer:
B and D are correct
Step-by-step explanation:
Imagine if c, b, and k were equal to 5. Then, multiply to figure out how much Mia earned. Solve the rest of the equations while still using 5 in place of the variables. If they are the same as your first answer, it is right
Which Player has not won at least 2 superbowls-
A. Tony Jones
B. Steve Young
C. Ronnie Lott
D. Drew Brees
The sum of three consecutive even integers is 108. What is the largest number
Answer:
38
Step-by-step explanation:
Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
If the tax rate is 8%, what is the sale price of the Jeans Including tax?
Answer:
$34.56
Step-by-step explanation:
First, find the discount price.
20% of 40
20/100 x 40= $8
Deduct the discount from the original price.
40 - 8 = $32
This is the discount price.
Now, find 8% (tax) of the price.
8/100 x 32 = $2.56
Add it to the price.
32 + 2.56 = $34.56
Hope this helps!
Solve the equation x = $rrº for r.
O A. r= »3.2 (57)
O B. r =
3.0
5%
O C. r = 3x - 571
O D. r =
570
32
Answer:
32 $
Step-by-step explanation:
HELP URGENT !!!!!!!
Please help me with this
Answer:
a one is the answer for 1st questionWhich number is closest to the square root of 48
?
5.9
7.3
6.9
6.3
Answer:
6.3 is closest to the square root of 48
I bet you!
Answer:
6.9
Step-by-step explanation:
[tex]\sqrt{48}[/tex] =6.92820323
So, the closest is 6.9
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B. ∠EYL and ∠AYS
D. ∠SYL and ∠EYA
Step-by-step explanation:
A vertical angles are the pair of angles on the opposite sides of intersecting lines
In the given figure, the pair of intersecting lines are;
Line AYL and line SYE
The vertical angles formed by the lines [tex]\overline{AYL}[/tex] and [tex]\overline {SYE}[/tex] are;
From East to West (left to right direction) angles ∠EYL and ∠AYS
From the direction of 'H' ∠SYL and ∠EYA
Therefore, the correct options are;
B. ∠EYL and ∠AYS and D. ∠SYL and ∠EYA.
C=400-5x+0.125x^2 where x is the number of gas grills produced. How many units should be produced each day to yield a minimum cost ?
Answer:
x=20
Step-by-step explanation:
take the derivative and set to zero
c prime = -5 + .25x
0 = -5 + .25x
.25x = 5
x=20
how to express a polynomial sum in simplest form?
Answer:
Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.
Step-by-step explanation:
I WILL GIVE 100 POINTS
Answer:
Er you just multiply by 9.
Step-by-step explanation:
1*9 = 9
3*9=27
1*9=9
27*9=243
The answer:
x: 9
y: 81, 3
x*3
y/3
I need help PLEASE HELP ME
Answer:
x ≥5 or 5 ≤x
Step-by-step explanation:
2x ≤ 5x - 15
Subtract 5x from each side
2x-5x ≤ -15
-3x ≤-15
Divide each side by -3, remembering to flip the inequality
-3x/-3 ≥ -15/-3
x ≥5
Check x=10
2*10 ≤5*10 -15
20 ≤50 -15
20 ≤35
True
Which of the following is a proper fraction?
4/5
4/3
3/2
5/4
Answer:
the following is a proper fraction
4/5
Answer:
4/5 is correct answer as numerator is smaller than denominator
HELP LOL
Just need the numbers
Answer:
Note*: I included the given ones.
Top row: 64^1 — 64^1/2 — 64^ 1/3 — 64^0 — 64^-1/2 — 64^-1
Bottom row: 64 — 32 — 4 — 0 — 1/8 — 0.015625