This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?

Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

General term of GP: a

1

r

n−1

10

th

term of GP =a

1

r

9

=45(0.2)

9

=23040×10

−9

=2.304×10

−5

Answer:

1536

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

Here a₁ = 3 and r = 2 , then

a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536

The triangles can be proven similar by the congruent theorem of triangles

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the two triangles be ABC and DEF

Now , the two triangles will be similar if

The three sides are equal

So , AB = BC = CD and

DE = EF = FD

And the two triangles are congruent if

By ASA theorem - two angles are the same and a corresponding side is the same

And ,

By SAS theorem : Two sides are equal and the angle between the two sides is equal

And ,

By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal

Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF

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Answer:

Step-by-step explanation:

-2x+3x=-21+6

or x=-15

Answer:

x=3

Step-by-step explanation:

-2x-6=3x-21

Add 21 to both sides of the equation

Add 2x to both sides of the equation

Divide each side by 5 to isolate x

Answer:

oh nah 1.98

Step-by-step explanation:

Answer:  45

Step-by-step explanation:

divide 90 by 2

middle school math

Answer:

x=-1/2

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Amplitude of the sine function is 1.

So if its multiplied by -3, its amplitude is 3 (its always positive).

The midline of sin x is 0.

The midline of sin 2x is also 0.

The midline of -3*sin 2x is also 0.

So if you subtract this function by 5, then the new midline is -5.

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

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Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

Answer:

b :)

Step-by-step explanation:

If you simplify it you get:

|-3|<|9|

3 < 9

true

and -3 < 9

true

Answer:

1/5

Step-by-step explanation:

12/60=1/5

Answer:

26

Step-by-step explanation:

○= 7

□=5

◇=4 (The triangle)

Answer:

Option (2)

Step-by-step explanation:

Equations of the lines have bee given as,

y = [tex]\frac{4}{3}x-5[/tex]

y = [tex]\frac{4}{3}x+3[/tex]

Both the equations are in the slope intercept form. (y = mx + b)

They have same slopes but different y-intercepts.

Same slopes of the equations define the lines to be the parallel lines.

Therefore, Option (2) will be the correct option.

Answer:

11

Step-by-step explanation:

3^2 + 1 • 2 = 11

NOTE:

'^' is the exponent symbol

Answer:

1. 25

2. 3 hours

3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes

Step-by-step explanation:

Answer:

Cosine

Step-by-step explanation:

sine = soh=o/h

cos=cah=a/h

tangent=toa=o/a

If you look at right triangle the slanted line is the hypothese. it will always be. so thats h. the adjacent is the line connected the the angle you are looking for. and opposite is the line thats away from the angle.

Answer: x=10

Step-by-step explanation:

Picture below.

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

area of trapezium= 1/2×sum of parallel sides× height

=1/2×(9+9+7)×8

=1/2×25×8

=100

I hope this helps( ╹▽╹ )♥

x 3

Step-by-step explanation:

Answer:

± 15 cm  

Step-by-step explanation:

In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.

In the second case, the uncertainty or error is also ± 1 cm.

Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm  

So, the total error in both cases is ± 15 cm.

Answer:

F

Step-by-step explanation:

Dependent is the y-axis and independent is the x-axis. So your answer is F.

Hope this helps, thank you !!

Answer:

£824

Step-by-step explanation:

3% of 800 + 800

1% = ÷100

800 ÷ 100 = 8

8×3=3%=24

800 +24 =£824

Answer:

am not really sute bt its ..no

Answer:

x=4/7

Step-by-step explanation:

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

= 7/2 × 7/2

= 49 / 2

= [tex]24\frac{1}{2}[/tex]

Hence, the simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

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Answer:

28.27

you just have to know the formula