which of these number lines represents the difference -3-2​

Answer:

[tex]d = 340.7m[/tex]

Step-by-step explanation:

See attachment for question illustration

From the attachment, we have:

[tex]AB = 125m[/tex]

[tex]<A = 41.6[/tex]

[tex]<B = 124.3[/tex]

Required

Solve d

First, we need to calculate <C

[tex]<A + <B + <C = 180[/tex] --- angles in a triangle

[tex]41.6+ 124.3 + <C = 180[/tex]

[tex]165.9+ <C = 180[/tex]

Make <C the subject

[tex]<C = 180 - 165.9[/tex]

[tex]<C = 14.1[/tex]

Next, we apply Sine's law to solve for d

[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]

In this case:

[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]

Make d the subject

[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]

[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]

[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]

[tex]d = 340.663639629[/tex]

[tex]d = 340.7m[/tex]

Hence, the base of the lake is approximately 340.7m

Answer:

16a + 20

12a + 20 + 4a

2(8a+10)

Step-by-step explanation:

Answer:

I think it was 34 cm because it should be not too long

Step-by-step explanation:

this is from my logic perspective

Answer:

y = 2/3x - 4

Step-by-step explanation:

Answer:

y = 98

z = 21

Step-by-step explanation:

in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:

y = 180 - 82

we get y = 98

<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:

4z + 14 = 98

subtract 14 from both sides:

4z = 84

divide both side by 4 to find z:

z = 21

Answer:

y = 82

z  = 21

Step-by-step explanation:

You can get y almost immediately.

82 and y are supplementary. Interior angles on the same side of the transversal = 180

82 + y = 180              Subtract 82 from both sides

y = 180 - 82

y = 98

y and 4z + 14 are equal.

y = 4z + 14                Substitute for y    

98 = 4z  +  14           Subtract 14 from both sides.

98-14 = 4z

84 = 4z                     Divide by 4

84/4 = 4z/4

21 = z

Answer:

30

Step-by-step explanation:

Proportions!

The answer would be B. In the sequence;

0,0,1,1,1,1,2,2,2,3,4,4,8

Zero is mentioned twice, and if you take a glance at the other plots, they all have 3 dots above them, whereas answer choice B has 2 which is what we’re looking for.

Answer:1/2 divided by 10

Step-by-step explanation:

Answer:

[tex]-6048[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]

[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]

[tex]56\left(-108\right)[/tex] = [tex]?[/tex]

[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

Answer:

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

from the first one to second one it goes up by 11 then 13 then 15 then 17 then 19

82+19=101

Answer:

The original amount was: P = $800

Step-by-step explanation:

Given

Interest I = $22.40

Interest rate = r = 2.8% = 0.028

time t =  1 year

Using the interest formula

I = Prt

substituting the values

I = Prt

22.40 = P (0.028) (1)          ∵ I = 22.40, r = 2.8% = 0.028, t =  1

P = 22.40 / 0.028

P = $800

Therefore, the original amount was: P = $800

it's D (800.00)

HAVE A NICE DAY

Answer:

B) 10^0

Step-by-step explanation:

Well when dividing an exponent, you subtract the exponents but keep the base, this is the rule of exponents.

So in this case you got 10^-3/10^-3

SO you subtract the wo exponents and don’t forget to keep the sign

-3-(-3)

or -3+3

so 0

so final answer is 10^0

Answer:

The correct answer is B. 10(0).

Step-by-step explanation:

10^3 =

10 x 10 x 10 =

1,000

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

1,000 ÷ 1,000 = 1

10(0) = 1

Therefore, the correct answer is B. 10(0).

Hope this helps! :D

Answer: V = 311.0

Step-by-step explanation:

Formula: [tex]V = \pi r^2h[/tex]

[tex]V=\pi (3)^2 (11)[/tex]

[tex]V=99\pi[/tex]

V = 311.02

V = 311.0

Answer:

100

Step-by-step explanation:

2.8/n = 0.028

2.8/0.028 = n

100 = n

Answer:

3

Step-by-step explanation:

1/3 yard lengths times 3 equals 3 (or 1 yard).

There are 3 numbers of  1/3 yard lengths are in 1 yard.

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.

A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.

1 yard = 1/3 yard +  1/3 yard +  1/3 yard

The lowest common multiple of the right hand will be 3

So,

1 yard = (1 + 1 + 1)/3 yard

1 yard = 3/3 yards

1 yard = 1 yard

Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.

To learn more about the arithmetic operator

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Answer:

108

Step-by-step explanation:

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

Explanation:

Rotate the arrow so that it is pointing up.

Draw a line separating the arrow into a triangle up top and a rectangle below that.

The rectangular portion has area of 6*4 = 24 square units.

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

The triangular portion up to has area of

0.5*(base)*(height) = 0.5*(4+4+4)*(15-6) = 54

The base is 4+4+4 due to the '4's along the bottom of the triangle. The middle 4 might be the trickiest to spot, but keep in mind that rectangles have opposite sides that are the same length.

The height of the triangle is 15-6 since we start with an overall height of 15, and then subtract off 6 (which was the height of the rectangle).

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

Once you know the areas of the triangle and rectangle, you add them up to get 54+24 = 78 square units.

The value 14 along the diagonal portions of the triangle isn't used. This information is probably put in to distract or trick students. However, if you needed to find the perimeter, then you will use the 14's.

Answer:

$5.34

Step-by-step explanation:

Step-by-step explanation:

$5.34

hope it helps!

......

Answer:

Bro just look up trig triangle calculator

Step-by-step explanation

Answer:

27.5

Step-by-step explanation:

sin(33) = 15/x

x=15/sin(33)

Answer:

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

Step-by-step explanation:

Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm.  Thus we have the rate of change

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

Answer:

4.5 m

Step-by-step explanation:

if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5

Answer:

the answer is 4 (option C)

Step-by-step explanation:

Since the triangles are similar, and in triangle UTV both sides are equal, we can consider QTR also has two equal sides.

therefore, the equation forms:

13x + 3 = 55

13x = 55 - 3

13x = 52

x = 52/13

x = 4

Answer:

445

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

You can count backwards from -1.

-1, -2, -3, -4, and then -5 is the blue dot.

The left side of 0 is the negative side. The right side is the positive side.

Hope this helps!

Answer:

-5

Step-by-step explanation:

If you're going backward on the number line then you are in the negative zone because of -1

Step-by-step explanation:

45% of number = 180

=> 100% of number = 180 * (100/45) = 400.

Hence the number is 400.

Answer:

B, D.

Explanation:

When graphed out it is a vertical line. A vertical line has an undefined slope.

The x intercepts the line at (-2,0).

Answer:

2000

Step-by-step explanation:

Answer:

2000 ml

Step-by-step explanation:

Answer:

208

Step-by-step explanation:

The answer is 208 first I multiplied 18x8=144 than 8ft*5=40

40+8=48 than I did 40 +24=64 after that  I added 144+64=208 so surface area of the pyramid will be 208ft2

Answer:

352

Step-by-step explanation:

Answer:

Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.

Step-by-step explanation:

Hope this helps!!!

Answer:

For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.

For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).

Step-by-step explanation:

The x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.

It is defined as the sum of two or more numbers. The original number is obtained by multiplying the cube root of a number three times; for example, the cube root of x is z.

We have equation:

x³ = 27

Taking cube root both side

∛x³ = ∛27

x = ∛27

x = 3

Thus, the x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.

Learn more about the cube root here:

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