Answer:
The side length for A and B is 30 and the side length for B and D is 16, in the new dilated rectangle. The reason we multiplied by 2 is because 2 is greater than 1, and this means the image is an enlargement.
Step-by-step explanation:
Dilation is where the polygon grows or shrinks but keeps the same overall shape. A reduction (think shrinking) is a dilation that creates a smaller image, and an enlargement (think stretch) is a dilation that creates a larger image. If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement. This means that the image, A’, is twice as large as the pre-image A. This means that the image, A’, is twice as large as the pre-image A.
Since 2 is greater than 1, the image is an enlargement
So we do 2*15 and 2 * 8
And we get
30 and 16
The side length for A and B is 30 and the side length for B and D is 16.
In a right triangle, sin (3x+5)^\circ(3x+5) = cos (8x+9)^\circ(8x+9) Solve for x. Round your answer to the nearest hundredth if necessary.
Right triangles are triangles with a measure of 90 degrees
The value of x is 76/11
How to calculate x in the triangleThe equation is given as:
sin (3x+5) = cos (8x+9)
To solve for x, we make use of the following theorem
If sin(A) = cos(B), then
A + b = 90
So, we have:
3x + 5 + 8x + 9 = 90
Collect like terms
3x + 8x = 90 - 5 - 9
Evaluate the like terms
11x = 76
Divide both sides by 11
x = 76/11
Hence, the value of x is 76/11
Read more about right triangles at:
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4. Solve the following equation: 6x + 12 = 4x - 8
Answer:
-10 is the correct answer
Step-by-step explanation:
hope this helps
Answer:
-10
Because I worked it out on paper
Which property will we need to use to solve the equation?
x - 10 = 5
Answer:
Addition Property of Equality
Step-by-step explanation:
To solve this equation, we need to use the Addition Property of Equality because we need to add 10 to both sides to isolate x...
x-10=5
x-10+10=5+10
x=15
help!?!?!?!?!?!!?!?!?!?!?!
you took time typing help that you forgot your Question :D
Order the following numbers from greatest (on top) to least (on bottom). Click on the arrows and drag to move the numbers around.
1 1.
-2/8
-3/7
-0.2
What is the area of the triangle below
Complete the table.
Original Price: Percent of discount: Sell Price:
? 25% $40
PLEASE HELP FASTT 100 points
Answer:
you saved $10.00
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 40 × 25/100
Discount = 40 x 0.25
Answer:
10
Step-by-step explanation:
What is 25% of 40?
Y is 25% of 40
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 25% * 40
Converting percent to decimal:
p = 25%/100 = 0.25
Y = 0.25 * 40
Y = 10
Evaluate x + y + z for x = 2, y = -3, z = -4.
Hey there!
x + y + x
= 2 + (-3) + (-4)
= 2 - 3 - 4
= -1 - 4
= -5
Therefore, your answer is: -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
how do I put (-3,2) and (-2,-3) in slope formula
The slope formula is
(y2-y1)/(x2-x1)
In the point (-3,2),
-3 is x and 2 is y
y2 represents the second y point, and y1 represents the first y point
same for x
so, its
(-3-2)/(-2-(-3))=
-5/1=
-5
What is the value of p in this proportion?
56p=2312
Enter your answer as a simplified fraction in the box.
p =
Answer:
41 28571/100000
Step-by-step explanation:
56p = 2312
We rewrite this expression into this:
p = 2312/56 ≈ 41.286
the answer for it what is it
Answer:
1.378 approximately 1.38
Step-by-step explanation:
we're looking for x which is the opposite in the diagram we've been given the hypotenuse in the question as 1.8
so we use sin = opp/hypotenuse
sin50= x/1.8
x = sin50× 1.8
x= 1.378
approximately 1.38
Simplify this expression
10a + 6x-2a-3x
Answer:
[tex]3x+8a[/tex]
Step-by-step explanation:
Given the following question:
[tex]10a+6x-2a-3x[/tex]
In order to find the answer, we combine like terms and then simplify.
[tex]10a+6x-2a-3x[/tex]
[tex]=6x-3x+10a-2a[/tex]
[tex]6x-3x=3x[/tex]
[tex]10a-2a=8a[/tex]
[tex]=3x+8a[/tex]
[tex]3x+8a[/tex]
Hope this helps.
Find the measure of ∠CBE: A line containing points A, B, and E intersects with a line containing points C, B, and D at point B. Angle ABD is 30 degrees: A. 30° B. 60° C. 90° D. 150°
Answer:
the answer is always c trusttt
100 Points!!!
The table shows the number of calories in different numbers of apples.
Number of apples 3 5 8
Number of calories 195 325 520
How many calories are in 9 apples?
Answer:
585 calories are in 9 apples
Step-by-step explanation:
Number of apples : 3 || 5 || 8
Number of calories: 195 || 325 || 520
Find the unit rate:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{325-195}{5-3}[/tex]
[tex]\frac{130}{2}[/tex]
[tex]65[/tex]
Find equation:
y - 325 = 65( x -5)
y = 65x - 325 +325
y = 65x .....this is the equation to find any number of calories.
put x as 9 here:
y = 65x
y = 65(9)
y = 585 calories
The point M(
–
4,
–
6) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, M'?
will mark branliest
Answer:
M' (- 6, 4 )
Step-by-step explanation:
Under a clockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , then
M (- 4, - 6 ) → M' (- 6, 4 )
Griffin’s General Store is having a 30% off sale on fans. Robert paid $24. 50 for a fan that was on sale. What is the original price of the fan?.
the area of rectangle is 18cm².its length is double than of its breath find its length and breadth
find its perimeter
Answer:
length = 6 cm, breadth = 3 cm, perimeter 18 cm
Step-by-step explanation:
Let the breadth be x,
Then the length will be 2x
area of rectangle = length * breadth
using the formula:
(2x * x) = 182x² = 18x² = 9 x = √9x = 3The breadth is 3 cm
Length:
2x2(3)6 cmperimeter of rectangle:
2( length + breadth )2( 3 + 6 )2(9)18 cmFor more length, area, width questions:
https://brainly.com/question/26671255
Answer:
Step-by-step explanation:
Let the breadth = x cm
Length = 2x
2x *x = 18
x² = 18/2
x² =9
x = √9
x = 3 cm
Breadth = 3 cm
Length = 2*3 = 6 cm
Perimeter = 2*(length + breadth)
=2*(3+6)
= 2*9
Perimeter = 18 cm
Please help me!!!!!!!!
Step-by-step explanation:
Let's turn each mixed fraction into an improper fraction.
[tex]1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} [/tex]
[tex]2 \frac{1}{5} = \frac{5}{5} + \frac{5}{5} + \frac{1}{5} = \frac{11}{5} [/tex]
We'll use 11/5 twice.
Multiply:
[tex] \frac{5}{4} \times \frac{11}{5} = \frac{55}{20} [/tex]
[tex] \frac{55}{20} = \frac{20}{20} + \frac{20}{20} + \frac{15}{20} = 2 \frac{15 \div 5}{20 \div 5} = 2 \frac{3}{4} [/tex]
Multiply the Second problem:
[tex]\frac{5}{6}\times\frac{11}{5}=\frac{55}{30}[/tex]
[tex]\frac{55}{30} =\frac{30}{30} +\frac{25}{30}= 1 \frac{25 \div 5}{30 \div 5} = 1 \frac{5}{6}[/tex]
Compare:
[tex]2 \frac{3}{4} > 1\frac{5}{6} [/tex]
2 3/4 is greater, we can identify this a few ways:
Decimals, 2 3/4 equals 2.75 while 1 5/6 equals 1.83Whole numbers, 2 is greater than 1.Improper fractions, 2 3/4 as an improper fraction is 11/4 while 1 5/6 as an improper fraction is 11/6.Therefore, your answer is >
What are the sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60°?
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
The sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60° are 6√3 and 4√3.
What is a Hypotenuse?This is defined as the longest side of a right-angled triangle and is opposite to the right angle.
The ratios of the sides of a 30/60/90 triangle are x, x√3, 2x (short leg, long leg, hyp). We can infer that the long leg is 6 'units' which is
6 = x√3
x = 6√3.
The hypotenuse is 2x then the hypotenuse is 2(6√3)
= 12√3 when rationalized
= 12√3/3 = 4√3.
Read more about Right angle triangle here https://brainly.com/question/18452950
Choose the expression that represents "the
product of a number and five is two less than the
number."
x/5 = 2-X
5x = 2 x
5x = x-2
x/5 = X-2
Answer:
5x = x - 2
Step-by-step explanation:
"And" means to multiply, so 5 × (x)
two less than a number is "X - 2"
I hope this helps!
A parallelogram's area is given by the expression 4x2 2x 6. The height of the parallelogram is 2x2. Which expression represents the base of the parallelogram? 2 x 2 2 2 x.
Answer:
The answer is B!!HOPE THIS HELPS :)
Step-by-step explanation:
I just guessed it and its right :)
Answer:
b
Step-by-step explanation:
Write the ratio for cosB
Answer:
11/61
Step-by-step explanation:
cos b = adj side/hypotenuse
=11/61
Answer:
CosB = B/H
Base(B)= 11
Perpendicular (P)=60.
Hypotenuse (H)= 61
CosB = B/H
CosB= 11/61
Find the value of x. KU = 3x + 3 UM = 4x - 4
The value of x in the given parallelogram is: x = 7.
What is the Diagonal of a Parallelogram?A parallelogram has two congruent diagonals that bisect each other into equal segments.
Thus:
KU = Um
Substitute
3x + 3 = 4x - 4
Combine like terms
3x - 4x = -3 - 4
-x = -7
x = 7
Therefore, the value of x in the given parallelogram is: x = 7.
Learn more about parallelogram on:
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Find the value of x in the figure.
Answer:
145
Step-by-step explanation:
Q11. Helen invested £6000 for n years in a savings account. She got 3% compound interest each year. At the end of n years Helen had £7379.24 in her savings account. Work out the value of n. You must show your working.
Answer: 100/103, 184481/150000
Step-by-step explanation:
Consider directed line segment PQ. Point P is located at (-10,3). Point R, which is on segment PQ and divides segment PQ into a ratio of PR:RQ = 2:3, is located at (4,7). What are the coordinates of point Q?
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,3)\qquad Q(a,b)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{2:3} \\\\\\ \cfrac{P\underline{R}}{\underline{R} Q} = \cfrac{2}{3}\implies \cfrac{P}{Q} = \cfrac{2}{3}\implies 3P=2Q\implies 3(-10,3)=2(a,b)[/tex]
[tex](\stackrel{x}{-30}~~,~~ \stackrel{y}{9})=(\stackrel{x}{2a}~~,~~ \stackrel{y}{2b}) \\\\\\ R=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-30+2a}}{2+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{9+2b}}{2+3} \right)}~~ = ~~\stackrel{\textit{and we know that is}}{(4~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex][tex]\cfrac{-30+2a}{5}~~ = ~~4\implies -30+2a=20\implies 2a=50\implies a=\cfrac{50}{2}\implies \boxed{a=25} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9+2b}{5}~~ = ~~7\implies 9+2b=35\implies 2b=26\implies b=\cfrac{26}{2}\implies \boxed{b=13}[/tex]
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The coordinates of the point Q are (25,13).
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Let the coordinates of the point Q be represented by Q(a,b).
Given the Ratio from P to Q is 2:3.
The internal division of the line segment using the ratios will be,
PR/RQ = 2/3
3P = 2Q
3(-10, 3) = 2(a, b)
Now, the coordinates of R can be rewritten as,
[tex]R = (\dfrac{-30+2a}{2+3},\ \dfrac{9+2b}{2+3}) = (4,7)[/tex]
Comparing the coordinates,
(-30+2a)/(2+3) = 4
a = 25
(9+2b)/(2+3) = 7
b = 13
Hence, the coordinates of the point Q are (25,13).
Learn more about Coordinates:
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Please help this is due in 20 minutes. If you get I right I will give you 100 points.
It should cut into
2 right angle traingles.One rectangle for baseOne rectangle for b ack.One rectangle for fronti.e 3 rectangles and 2 right angles2 ne t is accurate
Answer:
A) net A
B) AB = 3 in BC = 5 in CD = 8.6 in
C) 106.6 in²
Step-by-step explanation:
Part A:
net A is the correct net for the prismPart B:
From inspection of the diagram:
AB = 3 inBC = 5 inCD = 8.6 inPart C:
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Surface area = 2(4 x 8.6) + (3 x 8.6) + 2(1/2 x 4 x 3)
= 68.8 + 25.8 + 12
= 106.6 in²
pls help only if ur sure of the answer!
Answer:
C
Step-by-step explanation:
[tex]12000 \times {1.05}^{4} = 14586[/tex]
Sasha likes to run on a track that is 58 of a mile. If she runs 7 laps. How many miles did she run? 758 678 548 438
Answer:
4 miles
Step-by-step explanation:
4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps
7 x 0.58=4.06 which is 4 miles
Have a good day :}
Diamond started the day with $280 in her bank account. She purchased 14 books that were all the same price. After she left the store, she had -$20 in her account. How much did each book cost? (Round your answer to the nearest hundredths place)
Answer:
21.43
Step-by-step explanation:
280+20=300=total spent
300÷14=21.4285714
21.4285714 to the nearest hundredths place= 21.43