Here is a right angled triangle:

Work out the area of the triangle.

Answer:

He worked 1.5 hours

Step-by-step explanation:

58-28= 30

30/20 per hour

1.5

Answer:

86,400,000 bacteria

Step-by-step explanation:

2^5=32, 3^3=27, 10^5=100,000

32*27*100,000

Answer:

There are 86400000 bacteria in the Petri dish.

Step-by-step explanation:

Write in standard form:

[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32

[tex]3^{3}[/tex] = 3 x 3 x 3 = 27

[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000

32 x 27 x 100000

= 86400000

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

36

Step-by-step explanation:

(1/3)x - (1/4)x = 3

multiply by 12 to clear the fraction

4x - 3x = 36

x = 36

Answer:

hmmmmm

Step-by-step explanation:

[tex] \frac{{12}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{(3 \times 4) ^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{ {3}^{ \frac{1}{2} } \times {4}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = {3}^{ (\frac{1}{2} - \frac{3}{2}) } \times 2 ^{2 \times \frac{1}{2} } \\ = {3}^{ - \frac{2}{2} } \times 2 \\ = 3 ^{ - 1} \times 2 \\ = \frac{2}{3} [/tex]

[tex] \frac{2}{3} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

Ryan sold 12 cell phones

Step-by-step explanation:

2000+15x12

Answer:

Step-by-step explanation:

Denominators of the fractions are 7 and 3, which are mutually prime numbers.

The LCD is the product of 7 and 3:

Simplify into mixed fraction

[tex]\\ \sf\longmapsto 6\dfrac{5}{7}=\dfrac{47}{7}[/tex]

[tex]\\ \sf\longmapsto 6\dfrac{1}{3}=\dfrac{19}{3}[/tex]

Find LCD

[tex]\\ \sf\longmapsto 7(3)[/tex]

[tex]\\ \sf\longmapsto 21[/tex]

Answer:

The second one : x + 90 + 61 = 180

Step-by-step explanation:

I hope this helps!

Let me know if you need the explanation.

Answer: 2^5

Step-by-step explanation:

2^5= 2x2x2x2x2=32

5^2=5×5=25

Answer:

Step-by-step explanation:

1) Not a polynomial. Because x² is in the denominator.

2) Yes, it is a polynomial.

Standard form: 5x² + 2x - 99

3) Not a polynomial.

[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .

Power of x is a fraction. so , it is not a polynomial.

4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.

5) Yes:

Standard form: -3x⁴ + 12x² + 7x

Answer:

[tex]x=\frac{9}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]

Subtract x (5/6) from both sides:

[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]

Subtract 3/4 from both sides:

** Anything subtracted from zero gives its negation.**

[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]

Multiply both sides by -3, reciprocal of - 1/3

[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]

Express - 3/4 (-3) as single fraction:

[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]

Multiply -3 and -3 = 9

[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]

______________________________________

Answer:

They are the same

Step-by-step explanation:

0.5 = 2/4

Half of 100 is 50

2/4 is half

Answer:

hope it helps you.........

Answer:

brainliest mo munako

Step-by-step explanation:

bago answer pede maliwaag ba

9514 1404 393

Answer:

  c = 108°

  d = 106°

Step-by-step explanation:

There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.

The derived relations we can use in this problem are ...

__

The vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...

  c = 78° +30* = 108°

__

Angles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:

  d + 30° +44° = 180°

  d = 180° -74° = 106°

Answer:

I am not sure but i will say C.

Step-by-step explanation:

Answer:

see the picture

Step-by-step explanation:

By the below figure (6) is the initial equation

(1) next added (b/2a)^2 on both sides to make it whole square on left side which gives (4) in (4) both terms are added on the right side to make it (5)

then square root on both sides gives (2) and now taking b/2a to the right side gives the final quadratic formula (3)

We can obtain the quadratic formula from completing the square method as shown.

The quadratic formula is derived from the completing the square method as follows;

Given the quadratic equation;

[tex]ax^{2} + bx + c =0[/tex]

Dividing through by a we have;

[tex]x^{2} + \frac{b}{a} + \frac{c}{a} = 0[/tex]

Adding half of b to both sides of the equation, we have;

[tex](x + \frac{b}{a}) ^{2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]

Taking LCM of the right hand side;

[tex](x + \frac{b}{2a})^{2} = \frac{b^2 - 4ac}{4a^2}[/tex]

Making x the subject of the formula;

[tex]x = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex]

Learn more: https://brainly.com/question/14283892

Step-by-step explanation:

we start with the first and the third equations, as they have the same content structure.

we multiply the whole first equation by 2, so that the z terms become aligned, and then we add both equations :

-8x + 4z = 28

-2x - 4z = 22

--------------------

-10x + 0 = 50

x = -5

-2x - 4z = 22

-2×-5 - 4z = 22

10 - 4z = 22

-4z = 12

z = -3

y = x + z + 12

y = -5 - 3 + 12 = 4

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

3 × 7

i took the test

Answer:

⇛-13/8 , -11/24, -7/16, -5/12 , -3/8

Step-by-step explanation:

Given numbers are -3/8 , 5/-12, -7/16, -13/18 , 11/-24

The can be written as -3/8, -5/12, -7/16, -13/18, -11/24

The denominators = 8,12,16,18,24

LCM of the denominators = 144

-3/8 = (-3/8)×(18/18) = -54/144

-5/12 = (-5/12)×(12/12) =-60/144

-7/16 = (-7/16)×(9/9) = -63/144

-13/18 = (-13/18)×(8/8) = -104/144

-11/24 = (-11/24)×(6/6) = -66/144

Ascending order of the numbers

= -104/144 , -66/144, -63/144, -60/144, -54/144

-13/8 , -11/24, -7/16, -5/12 , -3/8

Answer:

5/6

Step-by-step explanation:

2/

3

: 4/

5

= 2/

3

· 5/

4

= 2 · 5/

3 · 4

= 10/

12

= 2 · 5/

2 · 6

= 5/

6

25% = 25/100

25% of 28 is 7

~fractions

=====================

understand the steps below!

7 ÷ 25%

= 7 ÷ 25/100

= 7 × 100/25

= 7 × 4

= 28 ✔️

~ nice to help you ^^

Answer:

y= -2x +6

Step-by-step explanation:

x/3

Hope this helped uou, have a good day bro cya)

Answer:

#5) Its line “k”

Well to solve this you need to know what negative slopes are.

They decrease from height from left to right

And also a slope is always calculated like this

rise -> run

Think of it like a bed.

You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.

Rise is going vertical and run is going horizontal.

So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).

#6) 1/2  is the slope of line N. Or (c)

Well n is a potsive slope so we can automatically remove a and b.

And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)

Step-by-step explanation:

Number 1

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

m = (y2 - y1)/(x2 - x1)

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

m = (y2 - y1)/(x2 - x1)

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE