LCM of (2^3×3×5) and (3×5) is​

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

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Answer:

x will be equal to 7 comic books

The number of books Maria is ordering is 7 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of comic books Maria orders be = x

The cost of x books is = y

Now , the equation for the total cost be

y = 8x + 4   be equation (1)

Now , the total cost of all the books be = $ 60

So , substituting the value of y as 60 in equation (1) , we get

60 = 8x + 4

Subtracting 4 on both sides of the equation , we get

8x = 56

Divide by 8 on both sides of the equation , we get

x = 7 books

Therefore , the value of x is 7

Hence , The number of books Maria is ordering is 7 books

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Answer:

in triangle ACD

<D =<B=90° inscribed angle from the diameter is 90°

base AC=2×OA=2×15=30unit

perpendicular =CD=12unit

area of triangle ACD

=1/2 base×perpendicular=1/2×30×12=180unit²

In triangle ABC

base=AC=30 unit

perpendicular=BC=18unit

area of traingle ABC =

1/2 base×perpendicular=1/2×30×18=270unit²

Area of quadrilateral =area of traingle [ABC+ACD]

=180+270=450 square unit ans..

Answer:

[tex]13 \div 24[/tex]

13/24

Step-by-step explanation:

[tex]7 \div 8 - 1 \div 3[/tex]

[tex]taking \: the \: lcm \: of \: 8 \: and \: 3[/tex]

[tex]21 - 8 \div 24[/tex]

[tex]13 \div 24[/tex]

if it helps don't forget to like and mark me

Answer:98

Step-by-step explanation:

because it is a rectangle at a slight angle so base * height

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Answer:

x = 33 , y = 25

Here's your solution

=> let both number be x and y

=> so, x + y = 58

=> x - y = 8

=> solving both equation { add both }

=> 2x = 66

=> x = 33

=> now putting value of x in equation

=> 33 + y = 58

=> y = 58 - 33

=> y = 25

hope it helps

Answer:I’m not sure but I thinks it’s b might be wrong

Step-by-step explanation:

Answer:

7 1/3

Step-by-step explanation:

Add the whole numbers in the equation:

3+4=7

This will get you 7 1/3

Step-by-step explanation:

x= 0, y = 2

have a great day

Answer:

Step-by-step explanation:

Sin(35) =  opposite / hypotenuse

Sin(35) = 4 / hypotenuse                  Multiply both sides by the hypotenuse

hypotenuse * sin(35) = 4                  Divide by Sin(35)

hypotenuse = 4/Sin(35)

Sin(35) = 0.5736

hypotenuse = 4/0.5736

hypotenuse = 6.9737

Rounded answer 6.97

Answer:x/4+3

Step-by-step explanation:

8/1×1/4=8/4=2

X/1×1/4=x/4

4/1×1/4=1

Answer:

2 + [tex]\frac{1}{4} x[/tex] + 1

Step-by-step explanation:

Answer:

What is the minimum:

What is the maximum:

What is the range:

How many data are displayed in the table?

Answer:

First sample size, [tex]n_{x}[/tex] = 20

Second sample size, [tex]n_{y}[/tex] = 20

Sample mean of first sample, [tex]\bar{x}[/tex] = 5.44

Sample mean of second sample, [tex]\bar{y}[/tex] = 3.49

Sample Standard deviation of first sample, [tex]\sigma_{x}[/tex] = 1.75

Sample Standard deviation of second sample, [tex]\sigma_{y}[/tex] = 1.13

Step-by-step explanation:

Given - The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.

To find - Use appropriate symbols for the six numbers reported in this paragraph.

Proof -

First sample size, [tex]n_{x}[/tex] = 20

Second sample size, [tex]n_{y}[/tex] = 20

Sample mean of first sample, [tex]\bar{x}[/tex] = 5.44

Sample mean of second sample, [tex]\bar{y}[/tex] = 3.49

Sample Standard deviation of first sample, [tex]\sigma_{x}[/tex] = 1.75

Sample Standard deviation of second sample, [tex]\sigma_{y}[/tex] = 1.13

Answer:

$324

Step-by-step explanation:

if

=> 1hr = $8

then,

=> 40.5 x 8 = 324

=> 40.5 hr = $324

She earned $324 this week.

hope this helps and is right :)

Answer:

$324

Step-by-step explanation:

So, First we have to establish what we are solving for, in this equation we are solving for how much money Katie made this week after working 40.5 hours at a salary of $8 per hour.

To find how much Katie made we have to multiply 40.5 and 8!

Let's make it easier by splitting 40.5 into 40 and 0.5

40 × 8 = 320

0.5 × 8 = 4

320 + 4 = 324

Katie made $324 this week!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

18$

Step-by-step explanation:

2 tuna sandwiches= 14$

1 tuna sandwich= 14÷2 = 7$

1 tuna sandwich + 1 chicken sandwich = 16$

7$ +1 cs= 16$

1 chicken sandwich = 16$- 7$

1 chicken sandwich = 9$

2 chicken sandwiches = 9x2 = 18$

Answer:

15 165

Step-by-step explanation:

m1 + m2 = 180

x-18 +5x = 180

6x = 198

x = 33

m1 = 15

m2 = 165

Answer:

The answer is b Maria will run 1.75 miles more than her goal.

Step-by-step explanation:

For this you take the total number of miles divided by miles per day. 17.5 divided by 2.75 is approximately six slightly over. That remaining time is less than 1 day so she can’t do 2.75 over her goal and the other options talk about going under so that leaves us with option two.

Hope this helps.

solution in attachment

hope it helps

Answer:

C IS THE ANSWER

Answer:

The integers are 7 and 3

Step-by-step explanation:

if you put x as smaller number and y as bigger number you can write two equations:

x+y^2=52 and y-4=x

In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7

y-4 to get x, plug 7 in and you get x=3

y=7 and x=3

Answer:

7 and 3

Step-by-step explanation:

We will let x equal the larger one

y will be the smaller one

We can write the two equations

x-y=4

y+x²=52

We will solve this through substitution

we will take the first equation and add y to moth sides

x=4+y

we then substitute this into our second equation

y+(4+y)²=52

distribute the square

y+8y+y²+16=52

y²+9y-36=0

Factor this

(y-3)(y+12)=0

Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)

Plug in y=3 into our first equation

x-3=4

x=7

Answer:

[tex]\frac{17}{24}[/tex]

Step-by-step explanation:

First, you have to make all of the fractions have a common denominator. You can find the LCM (least common multiple) of 6 and 8.

6, 12, 18, 24 . . .

8, 16, 24 . . .

Their LCM is 24.

So now, change the fractions:

1         4

----  =  -----

6        24

Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.

1         3

----  =  -----

8        24

Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.

So if we have 1 band practice, we know that

24        1

----  =   ----  =   1

24        1

So the fraction of practice time spent playing music is:

[tex]\frac{24}{24}-\frac{3}{24} -\frac{4}{24}=\frac{17}{24}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:it is b because u multiply.

Answer:

the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the  value of theta, I take it.  Add 2 to both sides

2cos(theta) = 2                            Divide by 2

2cos(theta)/2 = 2/2

cos(theta) = 1

So theta = 0 degrees.

So 0,360 .... n*360 is the general solution.

Answer:

27

But tell me the exact question it has on there

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

61 x 2 = 122 hope this helps:)

Answer:

C, E, and F

Explanation:

There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.

A better way is to simply solve each equation for x.

You could rewrite

2x + 7 < -3

as

2x + 7 = -3

and solve:

Subtract 7 from both sides

[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]

Now divide both sides by 2

[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]

Now we can simply replace the equals sign with the inequality

x < -5

Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.

Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:

[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]

Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.

These answers are:

C. -10

E. -8.24

and

F. -15/2 which is -7.5

NOTE: -5 is equal to but not less than -5 so G is not included.

Answer:

c

Step-by-step explanation: