Which of the numbers below is less than 48.975? Select all that apply. A) 48.9 B) 48.98 C) 48.963 D) 49​

Answer:

63 = x

Step-by-step explanation:

We know that a triangle's angles always add up to 180º. Since Line DC is a 180º line, we can subtract 128 from 180.

180 - 128 = 52º

The angle next to A is 52º.

Then, we add 52 and 65 to get the sum of the two angles.

52 + 65 = 117

Finally, subtract 117 from 180 to get our x.

180 - 117 = 63

x = 63

To check, add all the angle values together and if they equal to 180, your answer is correct.

63 + 52 + 65 = 180. Correct!

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

Explanation:

Through the remote interior angle theorem, adding the remote interior angles x and 65 results in the exterior angle 128. Note how the exterior angle is not adjacent to any of the interior angles (which is where the "remote" portion comes from).

x+65 = 128

x+65-65 = 128-65

x = 63

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

A longer method involves finding interior angle BAC using the given exterior angle

angle BAC = 180-(exterior angle DAB)

angle BAC = 180-128

angle BAC = 52

So far, the triangle BAC has two known interior angles 65 and 52. The missing angle x adds onto the previous two getting us 180

x+65+52 = 180

x+117 = 180

x = 180-117

x = 63

We get to the same x value.

Answer:

15

Step-by-step explanation:

OPTION 1:

We can use the distance formula to find the distance between these two points.

[tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

X2 is -9, X1 is 0, Y2 is -10, and Y1 is 2, so we can substitute inside the equation.

[tex]\sqrt{(-9-0)^2 + (-10-2)^2}\\\\\sqrt{9^2 + -12^2}\\\\\sqrt{81 + 144}\\\\\sqrt{225}\\\\15[/tex]

OPTION 2:

We can look at the change in x and the change in y and use the Pythagorean Theorem to find the missing length of the hypotenuse.

The x changes by 9, and the Y changes by 12.

[tex]a^2+b^2=c^2[/tex] is the Pythagorean Theorem. We know a and b, so we can substitute inside the equation.

[tex]9^2 + 12^2 = c^2\\\\81+144=c^2\\\\225=c^2\\\\c=15[/tex]

Hope this helped!

Answer: The distance is 15 units.

Step-by-step explanation:

Find the difference in the x and y coordinates and square them and add them together.

(0,2) and (-9,-10)  The x coordinates are 0 and -9  and the y coordinates are 2 and -10.

0-(-9) = 9

2-(-10) = 12

9^2 + 12^2 = d^2

  81 + 144 = d^2

   225 = d^2

d = [tex]\sqrt{225}[/tex]  

  d= 15

Answer:

Your answer will be 1.35

Answer:

1) The distance between the ends of the arch is approximately 98.6

2) The eight of the arc is approximately 12.3

Step-by-step explanation:

1) The function for the height of the arch, h(x) = -0.005061·x² + 0.499015·x

Where;

x = The distance from the ends of the arch = 0, which gives;

0 = -0.005061·x² + 0.499015·x

Factorizing the above equation, we get;

0 = x·(-0.005061·x + 0.499015)

Which gives;

x = 0 or (-0.005061·x + 0.499015) = 0

-0.005061·x + 0.499015 = 0 gives;

-0.005061·x = -0.499015

x = -0.499015/(-0.005061) ≈ 98.6

Therefore, the height of the arch is zero at distance x = 0 and x = 98.6

Which gives the distance between the ends of the arch = 98.6

2) The height of the arc function h(x) = -0.005061·x² + 0.499015·x, whereby the coefficient of x² is negative, shows that it is ∩-shaped, the coordinates height and therefore, the height, is given by equating the derivative of the function to zero as follows;

d(h(x))/dt = d(-0.005061·x² + 0.499015·x)/dt = 2×(-0.005061)×x + 0.499015

d(h(x))/dt = 0 gives;

2×(-0.005061)×x + 0.499015 = 0

x = -0.499015/(2×(-0.005061)) ≈ 49.3

Therefore, the height of the arc, is the height at the point where x = 49.3

Therefore, we find the height of the arc from the height equation as follows;

h(x) = -0.005061×(49.3)² + 0.499015×49.3 ≈ 12.3

The eight of the arc is approximately 12.3.

Consider first two digits and then the next two digits.If there are three digits in the given number then first consider the first digit and then the take two digits together

6 | 4489 | 6x

36

12x | 889 |

Now the number 889 has 9 in units place so take a share number which has 9 at the end (ex.3*3=9 and 7*7=49)

So put 7 in the place of x and multiply the x value with 12x(that is 127) u will get the remainder as 0

Therefore the square root of 4489 is 6x*6x i.e. 67*67=4489

Answer:

The other guy got it

Step-by-step explanation

Answer:

[tex]\huge \boxed{\mathrm{36\sqrt{3} +72 \ mm^2}}[/tex]

Step-by-step explanation:

The height of the triangle is important to find the area of the rectangle.

We can split the triangle in half, we get a right triangle.

Apply Pythagorean theorem to solve for the height.

3² + b² = 6²

b² = 6² - 3²

b² = 36 - 9

b² = 27

[tex]b= 3\sqrt{3}[/tex]

The length of the rectangle is 3 + 3 + 3 + 3  =  12 mm

The width is 3 + [tex]3\sqrt{3}[/tex] + 3  = [tex]3\sqrt{3}+6[/tex] mm

The area of a rectangle is length × width.

[tex]12(3\sqrt{3}+6)[/tex]

Distribute.

[tex]36\sqrt{3} +72[/tex]

The area of the rectangle is [tex]36\sqrt{3} +72[/tex] mm².

Answer:

D

Step-by-step explanation:

So we are given the limit:

[tex]\lim_{x \to 0} (x^2+10)[/tex]

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

[tex]\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10[/tex]

Therefore, the limit equals 10.

Answer:

y = -1

Step-by-step explanation:

Notice that the line x = 9 is a vertical line, therefore a line perpendicular to it will be a horizontal line of the form y = constant number.

Since we want it to go through the point (9, -1), then we know that that y value needs to be "-1", and the equation of the line will be given by the expression:

y = -1

Answer:

y =1

Step-by-step explanation:

[tex](9,-1)=(x ,y)\\\\x =m_1 =9\\m_2 = \frac{-1}{m_1} = \frac{-1}{9} = -\frac{1}{9} \\\\Substitute \:the \:values\:into ;\\y =mx+b\\\\-1 =-\frac{1}{9} (9) +b\\-1 = -1+b\\-1+1 = b\\0 =b\\m= 1 \\Substitute\:the\:new\:values\:into ;\\y = mx+b\\y = 1 x +0\\ y= 1[/tex]

Answer:

[tex]width=12[/tex]

Step-by-step explanation:

The formula for the area of a rectangle:

[tex]Area=length*width[/tex]

Insert the known values:

[tex]180=15w[/tex]

Solve for w. Isolate the variable by dividing both sides by 15:

[tex]\frac{180}{15}=\frac{15w}{15} \\\\12=w[/tex]

w is equal to 12, so the width of the rectangle is 12 cm.

:Done

Answer:

Step-by-step explanation:

1.  Symbolically, we get:  62 - 5x < 40

2.  y - 7.3 < 3.4.  Solve for y by adding 7.3 to both sides, obtaining:

     y < 10.7    This is both the 'range' and the 'solution'

3a)      4b =  9b + 45, or -5b = 45, or b = -9

3b)      5a + 10 = 4a - 4

Combining like terms results in a = -14

Answer:

[tex]\bold{\dfrac{11}{2 }}[/tex]

Step-by-step explanation:

Given the geometric series:

[tex]\{\dfrac{1}2, -1, 2, -4, ..... \}[/tex]

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

[tex]S_n=\dfrac{a(1-r^n)}{1-r} \ \{r<1 \}[/tex]

[tex]a[/tex] is the first term of the geometric series

[tex]r[/tex] is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

[tex]a = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{-1}{\dfrac{1}{2}} = -2[/tex]

[tex]n=5[/tex]

So, applying the formula for given values:

[tex]S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}[/tex]

So, the answer is

[tex]\bold{\dfrac{11}{2 }}[/tex]

Answer:

654000 Rupees

Step-by-step explanation:

If we assume that the opera house was full every day then it would be 872 x 50 for the price of 1 day

872 x 50 = 43600

We multiple that number by the amount of days open so is would be 43600 x 15

43600 x 15 = 654000

Therefore it will make 654000 Rupees

Answer:

A.  1.6 m/s²

Step-by-step explanation:

Use the formula given and solve for g.  Use the length for L and the time for T.

T = 2π√(L/g)

T/2π = L/g

(T/2π)² = L/g

g = L/((T/2π)²)

g = 1/((4.9/2π)²)

g = 1/(0.7799)²

g = 1/0.6082

g = 1.64

[tex] \Large{ \boxed{ \mathbb{ \pink{SOLUTION:}}}}[/tex]

The AP would be like:

Now,

➝ First term = 1

➝ Common difference = 2

➝ No. of terms = 50

By using formula,

[tex] \large{ \boxed{ \rm{S_n = \frac{n}{2} \bigg(2a + (n - 1)d \bigg)}}} [/tex]

Here,

Proceeding further,

➝ S50 = 50/2{ 2 × 1 + (50 - 1)2 }

➝ S50 = 25{ 2 + 49 × 2 }

➝ S50 = 25{ 100 }

➝ S50 = 2500

⛈️ Sum of 50 terms of AP = 2500

Shortcut trick:- n^2

Then, Sum of 50(n) terms = 50^2 = 2500

☘️ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Answer:

2500

Step-by-step explanation:

The Sum of First 50 Odd Natural Numbers:

1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75+77+79+81+83+85+87+89+91+93+95+97+99

= 2500

Answer:

34n=42?

Step-by-step explanation

-16+5n=-7(-6+8n)+3

1.) multiply

-16+5n=42+-56n+3

2.) add like terms

-16+5n=-45+-56n

3.) find lower number, and add the opposite

29n+5n=42

4.) add n's

34n=42 ?

Answer:

Step-by-step explanation:

-16 + 5n = -7(-6 + 8n) + 3

Expand the terms in the bracket

That's

- 16 + 5n = 42 - 56n + 3

Group like terms

That's

Send the constants to the right side of the equation and those with variables to the left side

We have

5n + 56n = 16 + 42 + 3

Simplify

61n = 61

Divide both sides by 61

We have the final answer as

Hope this helps you

Answer:

True

Step-by-step explanation:

Answer:

  A.  True

Step-by-step explanation:

The graph passes the horizontal line test, so the inverse relation is a function.

__

The horizontal line test requires any horizontal line intersect the graph in at most one place.

Answer:

0

Step-by-step explanation:

Group like terms= 3r-3r-50+50

Add similar elements= -50+50

Answer=0

I hope this helps!

Step-by-step explanation:

From the question

Perimeter = 2L + 2W

L = 24 units

W = 11 units

Substitute the values into the above formula

That's

P = 2(24) + 2(11)

P = 48 + 22

P = 70 units

Therefore the perimeter of the rectangle cannot be 60 units since the values when substituted into the above formula will give us 70 units

Hope this helps you

Answer:

Hope it helps u .

mark as brainlist

Answer:

Cost of the pen = Rs.100

Step-by-step explanation:

Let the marked price = x

When the shopkeeper is selling for x, his gain = Rs. 20

Cost price = Marked price  - Gain = x - 20 --------(I)

After discount:

Discount = 10%

Marked price after discount = (100 - 10)% of x = 90% of x

                                               = 0.9 * x = 0.9x

When the shopkeeper is selling for 0.9x, his gain = Rs.8

Cost price = Marked price - gain = 0.9x - 8   -------(II)

From (I) and (II)

x - 20 = 0.9x - 8

x   = 0.9x - 8 + 20

x = 0.9x + 12

x - 0.9x = 12

0.1x = 12

x = 12/0.1

x = 120

Marked price of pen = Rs.120

Cost price = 120 - 20

Cost price  = Rs. 100

Answer:

D. 360 cubic cm.

Step-by-step explanation:

The volume = l * w * h

= 12 * 6 * 5

360 cu cm.

The  volume of the rectangular prism is  360 cubic cm

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Characteristics of a rectangular prism

Volume = length x width x height

12 x 6 x 5 =  360 cubic cm

A similar question was solved here: https://brainly.com/question/12449923?referrer=searchResults

Answer:

2n-7

Step-by-step explanation:

the product of 2 and a number is 2 times a number, so number is n. (this is multiplicaiton) it then becomes 2n. 7 less than that is 2n-7. (If it's less than, it goes after the variables 2n)

Explanation:

7 less --> -7

product of 2 and a number --> 2x

Answer:

2x-7

I hope this Helps!!

Answer:

[tex]\huge\boxed{b=-8}[/tex]

Step-by-step explanation:

[tex]4b+8=3b\\\\4b+8-8=3b-8\\\\4b=3b-8\\\\4b-3b=3b-3b-8\\\\\boxed{b=-8}[/tex]

Answer:

b = -8

Step-by-step explanation:

4b+8=3b

Subtract 4b from each side

4b-4b+8=3b-4b

8 = -b

Multiply each side by -1

-8 = b

Step-by-step explanation:

5x-4=-3-x

5x+x=4+(-3)

6x=1

x=1/6

Answer:

Step-by-step explanation:

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

Move constant to R.H.S and change it's sign

Similarly, Move variable to L.H.S and change it's sign

⇒[tex] \sf{5x + x = - 3 + 4}[/tex]

Collect like terms

⇒[tex] \sf{6x = - 3 + 4}[/tex]

Calculate

⇒[tex] \sf{6x = 1}[/tex]

Divide both sides of the equation by 6

⇒[tex] \sf{ \frac{6x}{6} = \frac{1}{6} }[/tex]

Calculate

⇒[tex] \sf{x = 0.16}[/tex]

Hope I helped!

Best regards!!

Answer:4.5 ft squared

Step-by-step explanation:

3*1.5/2=4.5

explanation:

Answer:

my name is yeff

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2 -

Step-by-step explanation:

if u flip the shape to make a diamond

Answer:

C. 3m+24/4

Step-by-step explanation:

Given that (3m/4 - 2) + 8

Then we solve

= (3m/4 - 8/4) + 8

= (3m - 8)/4 + 32/4

= (3m - 8 + 32)/4

= 3m + 24 /4

Therefore the answer is C

Alternatively, we can simplify the equation by

Given that, the equation is ( 3m/4 - 2 ) + 8

We then remove parenthesis

= 3m/4 - 2 + 8

= 3m/4 + 6

= 3m/4 + 24/4

Then add the numerators and leave the denominator

= 3m + 24 /4

This also equals option C.

Hence, it can be concluded that, the correct answer is Option C: (3m + 24)/4

Answer:

x = 10

Step-by-step explanation:

Step 1: Write out equation

16 = 9 + x - 3

Step 2: Combine like terms

16 = x + 6

Step 3: Subtract 6 on both sides

10 = x

Step 4: Rewrite

x = 10

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{16 = 9 + x - 3}[/tex]

Subtract 3 from

⇒[tex] \sf{16 = 6 + x}[/tex]

Swap the sides of the equation

⇒[tex] \sf{6 + x = 16}[/tex]

Move 6 to right hand side and change it's sign

⇒[tex] \sf{x = 16 - 6}[/tex]

Subtract 6 from 16

⇒[tex] \sf{x = 10}[/tex]

Hope I helped!

Best regards!!

Answer:

In domain: -2.

Not in domain: 2, 4.

Step-by-step explanation:

The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.

So, set the expression under the square root greater than or equal to 0 and solve for x:

[tex]-2x\geq 0\\[/tex]

Divide both sides by -2. When dividing by a negative, we flip the sign:

[tex]x\leq 0[/tex]

So, the domain of the function is all real numbers such that x is greater than of less than 0.

-2 is less than 0. So, it is in the domain.

2 is not less than 0. So, it is not in the domain.

4 is not less than 0. So, it is also not in the domain.