Which of the following is a simpler form of the expression startfraction sine (theta) secant (theta) over cosine (theta) tangent (theta) endfraction? sec theta cos theta csc theta tan theta

[tex]\longrightarrow \textsf{The unit of density is\;} [/tex][tex]\sf kg/m^3[/tex]

[tex]\green{ \underline { \boxed{ \sf{Density = \frac{Mass}{Volume}}}}}[/tex]

[tex]\longrightarrow[/tex]The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³

Some basic derived Units :-

Answer:

D

Step-by-step explanation:

1/24x = 1/6

Multiply 1/6 by the reciprocal of 1/24 which is 24/1

Therefore;

X = 1/6 × 24/1

X = 4

Answer:

Solve for x

by simplifying both sides of the equation, then isolating the variable. x=ordw

Step-by-step explanation:

or it could be word

Answer:

x=57

Step-by-step explanation:

I think i already answered this question, but i will rewrite it again! since the angles 'x' and '2x+9' add up to become a supplement angle or a straight line.

We can establish the relation which says that the sum of these two angles is equal to 180.

[tex]x + 2x + 9 = 180[/tex]

[tex]3x + 9 = 180[/tex]

[tex]3x = 180 - 9[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3} = 57[/tex]

Answer:

3ft:1in

Step-by-step explanation:

Given the clay model of a new car = 7in

If the actual car is 21ft, first we will have to convert 21ft to inches

Ift = 12in

21ft = x

x = 21×12.

x = 252in

21ft = 252in

This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.

To know the scale of the model, we will take the ratio of the actual car to the clay as shown

Scale = actual car model/clay car model

Scale = 252/7

Scale = 36/1

We can also use the exact units of both measurement used in question

Scale = 21ft/7in

Scale = 3ft/1in

Hence the scale of the model is 3ft:1in

[tex] - 5(x - 10) = - 50[/tex]

[tex] - 5x + 50 = - 50[/tex]

[tex] - 5x = - 50 - 50[/tex]

[tex] - 5x = - 100[/tex]

[tex] \frac{ - 5x}{ - 5} = \frac{ - 100}{ - 5} [/tex]

[tex]x = 20[/tex]

Answer:

a=21060[tex]in^{3}[/tex]

Step-by-step explanation:

A= B*W*H

A=36*39*15

A=1404*15

A=21060

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

Solving

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

n= -2/7 i= 3 4/7

Step-by-step explanation:

i=3-2n

2(3-2n)-3n=8

6-4n-3n=8

6-7n=8

6-8=7n

-2=7n

-2/7=n

=3-2(-2/7)

3+4/7

i=3 4/7

Answer:

The answer is "20".

Step-by-step explanation:

Given value:

[tex]\to Z_{critical}= 1.96\\\\\to {StdDev} = standard\ deviation = 50 \\\\\to n= 25\\\\[/tex]

formula:

[tex]\bold{Margin error}= Z_{critical} \times \frac{\text{StdDev}}{\sqrt{n}}\\[/tex]

                       [tex]= 1.96 \times \frac{ 50 }{\sqrt{25}}\\\\= 1.96 \times \frac{ 50 }{\sqrt{5 \times 5}}\\\\= 1.96 \times \frac{ 50 }{{5}}\\\\= 1.96 \times 10 \\\\= 19.6 \\\\= 20[/tex]

Answer:

70 m^2

Step-by-step explanation:

I did this quickly, so please check the numbers.

Divide the figure into 3 recdtangles and one triangle.  Calculate the area of each and take the sum.

I realize after looking at the image that one could have made only two rectangles and gotten the same result.

The figure shown would represent a parallelogram if opposite sides are parallel and congruent

It is true that the figure is a parallelogram

The coordinates of the figure are given as:

O = (0,0)

P = (a,b)

S = (a + c,b)

T = (c,0)

Vertices O and T are on the same horizontal level, because they have the same y-coordinate

The above is also applicable to vertices P and S

By observation, we have the following distances:

PS = c

OT = c

This means that the opposite sides are parallel and congruent

Hence, the figure is a parallelogram

Read more about parallelograms at:

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Answer:

x = 0

Step-by-step explanation:

Calculate the product

Any expression multiplied by 0 equales 0

Solution

X = 0

Hope this helps!

Answer:

2.828

Step-by-step explanation:

Answer:

The equation of a line is given by y = mx + c; where m is the slope.

The given equation is y = 5/4 x - 7/4.

Therefore, the slope is 5/4.

Answer:

the answer is (2,6)

Step-by-step explanation:

After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

to get more about percentage visit:

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After each cut, by observing the graph, the remaining area is 80% of the previous area.

It is given that

Actual area = 100cm²

What is the percentage?

The percentage is the value per hundred.

According to the graph,

Area after the first cut =80cm² (80% of the previous are)

Area after the second cut = 64 cm²(80% of 80)

Area after third cut = 51.2 cm²(80% of 64)

So we can observe that area after each cut is 80% of the previous area.

Therefore, after each cut, the remaining area is 80% of the previous area.

to get more about percentage visit:

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Answer:

Whats the question?

Step-by-step explanation:

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel lines have the same slope but different y-intercepts

Perpendicular lines have the negative reciprocal slope.

Step-by-step explanation:

for example 1)8,9,12,8,7,11,3,9,5

we need to find average

first add all the numbers =72

we divide by how many number we havein data base which is 9 (mean count how many numbers we have)

72/9=8

Answer:

3. 2 6 30          6. 8:5

   3 9 45

Step-by-step explanation:

Answer: A

Step-by-step explanation: took the test

The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) -  sin(x)²

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Let revise the identities of double an angle

sin(2x) = 2 sin(x) cos(x)

cos(2x) = cos²(x) - sin²(x)

cos(2x) = 2 cos²(x) - 1

cos(2x) = 1 - 2 sin²(x)

The equation

∵ cos(2x) = cos(x + x)

cos(x)cos(x) -  sin(x)sin(x)

cos²(x) -  sin(x)²

The identity is cosine double angle identity for cosine difference

Learn more about trigonometric;

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#SPJ2

Answer:

Step-by-step explanation:

The equation is

Salary = 11 * x              Where x is the number of hours.

salary = 143

hours = 11

x = ?

143  = 11x                     Divide both sides by 11

143/11 = 11x/11

13 = x

So to get 143 he works for 13 dollars / hour

salary = 13 * x

salary = 91

13 x = 91

13x/13 = 91/13

x = 7

He must work 7 hours to get 91 dollars.

Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar

Given:

To Find:

Solution:

We can solve this question using two methods Unitary Method and Method of proportion.

Unitary Method -

For $143 he work 11 hours

For $1 he work [tex]\dfrac{11}{143}[/tex] hrs

For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs

= 7 hours

He must work 7 hours to get $91.

[tex] \ {\rule{50mm}{3pt}}[/tex]

Method of proportion -

He work 'x' hours for $91. (x as no. of hrs)

[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]

143 : 91 :: 11 : x

Product of mean = Product of extreme

143 × x = 91 × 11

→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs

He must work 7 hours to get $91.

[tex] \ {\rule{90mm}{3pt}}[/tex]

Answer:

5 months

Step-by-step explanation:

Create an Equation:

m=months

Joe- 40m

Mike- 20m +100

Make each equation equivalent:

40m=20m+100

Solve:

40m-20m=100

20m=100

m=5

If you plug it back in, the equation is satisfied:

40(5)=20(5)+100

200=100+100

200=200

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x + 1.

Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.

Using algebra tiles provides a more visual way for us to solve our problems.

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Hence, the correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

To know more about algerbra tiles click the link given below.

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Answer: D

Step-by-step explanation:

Equivalent when u use x=2

1

2*(x+1)*(x-1)*(3x+2)

hope this helps

Answer:

24 monkeys are in the tree

Step-by-step explanation:

We solve it by writing [tex]\frac{60}{100}[/tex] times [tex]\frac{40}{1}[/tex]

Why is it over 100? Because every percent is out of 100!

[tex]\frac{60}{100}[/tex] X [tex]\frac{40}{1}[/tex] (your equation)

60 times 40 = 2400 and 100 times 1 = 100, We get, [tex]\frac{2400}{100}[/tex],

Lastly, we simplify the fraction by 100 on each side:

[tex]\frac{2400}{100}[/tex] / [tex]\frac{100}{100}[/tex]

you get 24

Answer:

The answer is Math. M a t h

Step-by-step explanation:

Good luck!