Find the length of the third side. If necessary, round to the nearest tenth.
16
12
Answer:
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Step-by-step explanation:

F( 1 ) = 2 - 6( 1 ) = - 4

F( 2 ) = 2 - 6( 2 ) = - 10

F ( 3 ) = 2 - 6( 3 ) = -16

Answer: [tex]24^{\circ}[/tex]

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of [tex]u=1\ m/s[/tex]

Motor boat traverses the river from east to west at a speed of [tex]v=2.5\ m/s[/tex]

South component of boat velocity must compensate the river velocity in order to travel in west direction.

[tex]\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}[/tex]

Answer:

Step-by-step explanation:

There are several ways in which to express this ratio. First and according to the size the model is to the real car:

m = .03c or [tex]m=\frac{3}{100}c[/tex] or conversely, you could state the expression according to the size of the real car as compared to the model:

c = 33 1/3m (the car is 33 and a third times the size of the model).

Answer: 1/2x + 2

Step-by-step explanation:

To get the slope you can look at the image. I got the y intercept by graphing the line and manually finding it. I forget how to solve for it

Answer:

[tex]162.07[/tex]

Step-by-step explanation:

An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:

[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]

Substitute,

[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]

[tex](m<ABD)+(m<DBC)=90[/tex]

[tex]42+(m<DBC)=90[/tex]

Inverse operations,

[tex]42+(m<DBC)=90[/tex]

[tex]m<DBC=48[/tex]

Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.

In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).

[tex]tan(\theta)=\frac{opposite}{adjacnet}[/tex]

Substitute,

[tex]tan(48)=\frac{180}{adjacent}[/tex]

Inverse operations,

[tex]tan(48)=\frac{180}{adjacent}[/tex]

[tex]adjacent=\frac{180}{tan(48)}[/tex]

[tex]adjacent=162.07[/tex]

Answers:

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Explanations:

Answer:

1: gets steeper

2: gets less steep

3: negative

Step-by-step explanation:

"As the value of m changes from 1 to 3, the graph gets steeper."

m is the slope of the line, and when it increases, there's more "rising" then "running", so it becomes more steep.

"As the value of m changes from -6 to -1, the graph gets less steep."

When the value of m increases, it gets more steep. It makes sense since -6 is less than -1. However, in this scenario, the negative sign doesn't "affect" the slope of the graph. It just flips the graph over the y-axis.

So you have to think of it as if the negative signs were gone and it was 6 to 1.

In that case, the slope is decreasing, so it's getting less steeper.

"If the value of m is negative, the slope of the line is negative."

The m variable represents the slope in slope-intercept form, so if m is negative, that's the same as saying the slope is negative.

Hope this helps (●'◡'●)

Answer:

FALSE. isn't it supposed to be 3 : 4.

Step-by-step explanation:

Simplified would be 27÷ 9 =3 and 36 ÷ 9 =4

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Explanation:

The ratio 4:3 has the first part (4) larger than the second part (3)

The ratio 27:36 has it flipped around, where the second part is the larger item this time.

Based on this alone, we can see that there's no way that 4:3 is the same as 27:36

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Another way you can look at it is to divide both parts of 27:36 by the GCF 9

The ratio 27:36 fully reduces to 3:4 and not 4:3. The order matters.

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Or you could go in verse of the previous section. Multiply both parts of 4:3 by 9

So the ratio 4:3 is equivalent to 36:27 which is not the same as 27:36. Again, the order is important.

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Yet another approach:

Treat the ratios like fractions. If they were equal, then 27/36 = 4/3 would be true.

Cross multiplying leads to 27*3 = 36*4 and that becomes 81 = 144 which is false. So saying 27:36 reduces to 4:3 is also false

Answer:

The product of 1/3(2/5) represents the number of hot dogs that were served on sesame buns WITH ketchup

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 1200≥25x+45y

b) YES, because:

1200≥25(15)+45(15)

1200≥375+675

1200≥1050

Answer:

[tex](x-\frac{1}{2})^2=\frac{81}{4}[/tex]

Step-by-step explanation:

Hi there!

[tex]x^2-x-20=0[/tex]

This equation is written in the form [tex]ax^2+bx+c=0[/tex]. First, use partial factoring:

[tex](x^2-x)-20=0[/tex]

For x^2-x, the b value is -1 in [tex]ax^2+bx+c[/tex]. To complete the square, take the square of half of 1 and add it in the parentheses as the c value:

[tex](x^2-x+\frac{1}{2}^2 )-20=0[/tex]

However, when adding values to one side of the equation, we must to the same to the other side:

[tex](x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2[/tex]

Complete the square:

[tex](x-\frac{1}{2})^2-20=\frac{1}{4}[/tex]

Move 20 to the other side

[tex](x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}[/tex]

I hope this helps!

Answer:

anong grade Mo na ba?

Step-by-step explanation:

grade?

Answer:

1

Step-by-step explanation:

no exponent

Answer:

c = 18 - 3d

Step-by-step explanation:

d =  days after birthday

Answer:

C = 18 - 3t

Step-by-step explanation:

18 - 9 = 9

9 / 3  = 3

18 = chocolates at the beginning.

C = 18 - 3t

The answer is C = 18 - 3t.

Answer:

B. 9k^2 + 5k - 1

Step-by-step explanation:

4k^2 + 5k - 3 + 5k^2 + 2

= 4k^2 + 5k^2 + 5k - 3 + 2

= 9k^2 + 5k - 1

Answer: (B) [tex]9k^2+5k-1[/tex]

Step-by-step explanation:

Add [tex]4k^2 + 5k^2[/tex]

Then [tex]-3+2[/tex] and you get -1

Answer:

x

Step-by-step explanation:

[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]

[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]

Answer:

The answer is "[tex]1\frac{1}{2}[/tex]"

Step-by-step explanation:

Please find the graph file of the question in the attachment.

Its first step is the lightest and heaviest evil. [tex]4 \frac{1}{4}[/tex] is the lightest bag, and [tex]5 \frac34[/tex] is the heaviest bag. To remove it now, it is not permissible to remove it as a mixed fraction, therefore convert each fraction into an improper fraction by multiplying the whole integer to the numerator, then adding a numerator to this amount, multiplied by the numerator. Follow those steps to find out [tex]4 \frac{1}{4}[/tex]  is the wrong part.

[tex](4\times 4+1=17) \ so\ 4\frac14=\frac{17}{4}.[/tex] The process is the same for [tex]5 \frac34 (5\times 4+3=23) \ so \ 5 \frac34= \frac{23}{4}.[/tex]

You now deduce the numerator but just not the negative, to deduct both. You subtract, as the question is raised far as[tex]\frac{23}{4}-\frac{17}{4} =\frac{6}{4}[/tex] is involved. The last stage is that this is transformed into blended families, dividing its count by the denominator, 6 divided by 4 is identical to 1.5. 1 is a full amount so you don't modify it, but you do need to change the 5 decimals to [tex]1.5=1 \frac{5}{10}[/tex] and the last step is [tex]1\frac{1}{2}[/tex]to reduce.

4/6

Mr. williams wants to buy 4/6

Answer:

there is some missing information  here

if the pas is a dozen brownies

1/2 of a pan is 6 2/3 of 6 would be "4"

how much mac-n-cheese are being made?

that information would be needed to solve this

Step-by-step explanation:

[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]

Answer:

La ingeniería es la opción más preferida y la contabilidad es la opción menos preferida entre los diferentes estudios.

Step-by-step explanation:

Los resultados obtenidos de la encuesta a estudiantes que siguen diferentes carreras luego de completar su 4 grado en la escuela secundaria. Cuando los estudiantes terminan sus estudios de secundaria, prefieren dedicarse más a la ingeniería. La escala salarial de los ingenieros es alta y también la demanda de ingenieros es alta en el país. La segunda mejor opción para los estudiantes serán los estudios comerciales, luego elegirán medicina, contabilidad y otros estudios. Las opciones están disponibles para que los estudiantes elijan su carrera preferida en la que identifiquen su interés.

Answer:

x = 29.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos x = adj side/ hypotenuse

cos x = 67/77

Taking the inverse cos of each side

cos^-1( cos x) = cos^-1 (67/77)

x = 29.52626525

To the nearest tenth

x = 29.5

Answer:

I'm sorry I'm not good at math

Step-by-step explanation:

sorry

Answer:

3/13

Step-by-step explanation:

Answer:

Your answer is 3/13

Step-by-step explanation:

Using the Pythagorean theorem:

Hypotenuse = sqrt( 20^2 + 15^2)

Hypotenuse = sqrt( 400 + 225)

Hypotenuse = sqrt(625)

Hypotenuse = 25

Answer: 25 inches

Answer:

25 inches

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

20^2 + 15^2 = c^2

400 +225 = c^2

625=c^2

Taking the square root of each side

sqrt(625) = sqrt(c^2)

25 = c

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

[tex]\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}[/tex]

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

[tex]\bf\implies a^m \times b^m = (ab)^m [/tex]

Using this property , we have ,

[tex]\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}[/tex]

This can be written as ,

[tex]\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}[/tex]

Simplifying using ( a+b)(a-b) = a² - b² ,

[tex]\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1} [/tex]

Subtracting the numbers inside the brackets ,

[tex]\rm\implies (-1)^{2n - 1 }[/tex]

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

[tex]\rm\implies\boxed{\quad \red{ -1 }\quad }[/tex]

Hence the required answer is (-1) .

Answer:

(x + 14)² + (y – 21/2)² = 1

Step-by-step explanation:

The equation of a circle can be written as seen below

(x – h)² + (y – k)² = r²

Where (h,k) is at the center and r = radius

We are given that the radius is 1

We are also given that the center is at (-14,21/2)

So we know that r = 1, h = -14, and k = 21/2

So to find the equation of the circle we simply substitute these values into the equation of a circle

Equation of a circle: (x – h)² + (y – k)² = r²

r = 1, h = -14, and k = 21/2

Substitute values

(x – (-14))² + (y – 21/2)² = 1²

1^2 = 1

The two negative signs before the 14 cancel out and it changes to + 14

The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1

Answer:

-2/8

Step-by-step explanation:

All you need to do is to find the common denominator which is 8

so 4/8 is good to go and remains as it is

For 3/4 you have to multiply the fraction by 2, both numerator and denominator

you will get 6/8

so 4/8-6/8 would give you -2/8 or -1/4

Answer:

41/10

Explanation:

sqrt16 = 4

sqrt17 = 4.12

4.1 = 41/10 and 4<4.1<4.12

Answer:

The answer is C. because 7 is in set A and set B.

Answer:

{7}

Step-by-step explanation:

A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}.

A ∩ B  This means intersection.  What is in both of the sets for A and B

{7}

Answer:

61.716 seconds (62 if round up is needed)

Step-by-step explanation:

36 / 7 = 5.143

5.143 * 12 = 61.716