which expression is equivalent to 100 + 20

Answer:

cosJ ≈ 0.38

Step-by-step explanation:

This is a 5- 12- 13 right triangle

with HI = 12, HJ = 13, IJ = 5

cosJ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IJ}{HJ}[/tex] = [tex]\frac{5}{13}[/tex] ≈ 0.38 ( to nearest hundredth )

The required value of Cos(J) for the given triangle is 0.38.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

In the given ΔHIJ the sides are given as,

JH = 13  and HI = 12.

Now, apply Pythagoras theorem to obtain,

IJ² + HI² = JH²

⇒ IJ² = 13² - 12²

⇒ IJ = 5

Use trigonometric ratio to obtain,

Cos(J) = IJ/HI = 5/13 = 0.38

Hence, the value of Cos(J) is obtained as 0.38.

To know more about Pythagoras theorem click on,

https://brainly.com/question/343682

#SPJ2

Answer:

B

Step-by-step explanation:

(x+y)-(-z)

=(x+y)-(-z)

=(x+y)+z

=x+(y+z)

Hello,

In all reply x²'s coefficient is 1.

The polynom will be (x+i)(x-5)= x²+ix -5x-5i

Answer  C

Answer:

14 units

Step-by-step explanation:

A = - 2, B = 12

Therefore,

d(A, B) = 12 - (-2) = 12 + 2 = 14 units

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]

[tex]\huge\textsf{c + c - 7c}[/tex]

[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]

[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]

[tex]\large\textsf{= 2c - 7c}[/tex]

[tex]\large\textsf{= \bf -5c}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Answer:

[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]

[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]

[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]

[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]

Answer:

72° and 108°

Step-by-step explanation:

let one angle be x then the other angle is 1.5x

A linear pair sum to 180° , so

x + 1.5x = 180 , that is

2.5x = 180 ( divide both sides by 2.5 )

x = 72

1.5x = 1.5 × 72° = 108°

The two angles are 72° and 108°

Answer:

do you have wazapp I can send full pic of the answer here

Answer:

Step-by-step explanation:

33

Answer:

thats right

Step-by-step explanation:

odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)

Answer:

The slope is 9.

Step-by-step explanation:

Answer:

Slope = 9

Step-by-step explanation:

Slope intercept form is y = mx +b (where m is slope and b is y intercept).

Here, m= 9 (slope) and b=0 (y intercept)

Answer:

31

Step-by-step explanation:

[tex]3+7[/tex] × 4        Multiply first

3 + 28           Then add

31

Answer:

43.6 (approximately)

Step-by-step explanation:

Diagonal measures of the screen is,

√(35²+26²)

= √(1901)

= 43.6 (approximately)

Answered by GAUTHMATH

We calculate the dioglonal using the Pythagorean theorem

[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]

Answer:

f(2) = - 5

Step-by-step explanation:

Using the recursive rule and f(1) = - 3 , then

f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5

Hello,

if p is false then ~p is true

if q is false then ~q is true

if ~p is true and ~q is true then ~q and ~p is true

There is step to step calculation

Hope is helpful

Answer:

y = 2.5

Step-by-step explanation:

Given

10y - 5 = 20 ( add 5 to both sides )

10y = 25 ( divide both sides by 10 )

y = 2.5

Answer:

5/2

Step-by-step explanation:

The given equation to us is ,

[tex]\implies 10y -5 = 20 [/tex]

Add 5 both sides ,

[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]

[tex]\implies 10y = 25[/tex]

Divide both sides by 10 ,

[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]

[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]

Step-by-step explanation:

70

*4

___

280.......ans

Answer:

[tex]Height = x - 5[/tex] --- one of the dimension

Step-by-step explanation:

Given

[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]

Required

The side dimension

Factorize the given expression

[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]

Factor out x - 5

[tex]Volume = (4x^2 + 3)(x - 5)[/tex]

Volume is the product of base area and height'

Hence:

[tex]Area = 4x^2 + 3[/tex]

[tex]Height = x - 5[/tex]

Answer:

A,C,D.

Step-by-step explanation:

Answer:

Part A

Group A is a cluster of points with similar property or relationship.

Point B is an outlier. This is the point outside of the common relationship.

Part B

There is a negative tendency. As number of hours spent on computer games increase, the test scores decrease.

Step-by-step explanation:

so basically A, and B

Answer:

x = 55°

Step-by-step explanation:

120° = x° + 65° (alternate interior angles are congruent)

Subtract 65 from each side

120° - 65° = x° + 65° - 65°

55° = x

Therefore,

x = 55°

Answer:

6.25 gallons

Step-by-step explanation:

If 125 gallon tank in equivalent to 5ft

1 foot is equal to 12inches...

5 ft ×12 =60 inches

So 125 gallon tank= 60 inches

If 60 inches = 125 gallon

3 inches = 125 × 3 / 60

= 375/60

= 6.25 gallons

Answer:

x= -33

Step-by-step explanation:

expand the equation : 2/3x +4 =-18

Then simplify to 2/3x=-22

multiply both sides by 3/2x to get x=-33

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

x + 6 = (3/2)(-18)

x + 6 = -27

x = -33

Answer: $96.86

Step-by-step explanation:

Lily owed megan = $129.42

she has paid megan = $32.56

The remaining amount Lily has yet to pay Megan = $129.42 - $32.56 = $96.86.

Please mark me the brainliest

Answer:

For the first equation we have:

A*x = b

solving for x, we get:

x = b/A

If it always has a solution, then we can not have A = 0, because that causes an undefined operation.

so for example, if we have A = 1 and b = 2

x = b/A = 2/1

For the other case,

A*y = 0

dividing both sides by A

y = 0/A = 0

y = 0

Here we have only one possible solution, the trivial one, y = 0.

And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)

Answer:

[tex]Ratio = 1 : 6[/tex]

Step-by-step explanation:

Given

[tex]n = 24[/tex]

Results:

[tex]1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 2[/tex]

[tex]1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 0[/tex]

Required

Ratio of students not participating to all students

Students not participating are represented with 0;

So, we have:

[tex]n(0)= 4[/tex]

The ratio is then calculated as:

[tex]Ratio = n(0) : n[/tex]

[tex]Ratio = 4 : 24[/tex]

Divide by 4

[tex]Ratio = 1 : 6[/tex]

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer:

Step-by-step explanation:

x²-9=x²-3²

Ax

B

Step-by-step explanation:

.....

...

..

Answer:  2.50 dollars

Explanation:

Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.

Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.

From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5

This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.

Answer:

so both tables are proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

Step-by-step explanation:

/ means divided by

divide y by x

for both tables

in each table

if y divided by x

show the same number

for every row

then its proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

so both tables are proportional

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]