10
8
6
4
-10 8
.6 4.
4
6
8
10
4
-6
8
-10
14. How many solutions does the system contain?
O A. Two
B. One
C. Zero
D. Three

Answer:

Step-by-step explanation:

Law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)

Used to find: the angles of a triangle when we know all three sides

We are looking for: Angle Q. The side opposite Angle Q (30) can be c. Line segments RQ and QS are a(17) and b(18).

30^2 = 18^2 + 17^2 - 2(17)(18) cos (q)

Answer:

B, C, and F

Step-by-step explanation:

There's a certain universal property that we must all understand whenever we apply division: we can never divide by 0. This would be considered undefined.

Look at the answer choices.

- B says 0/0, which is dividing by 0, so this is one of our answers.

- C says -8/0, which is also dividing by 0, so this is another one of our answers.

- Finally, F says 11/0, which is dividing by 0, so this is our last answer.

Thus, the answers are B, C, and F.

~ an aesthetics lover

Answer:

65°46'11"

Step-by-step explanation:

What is the complement of an angle that measures 24° 13' 49” ?

Complementary Angles = they add up to 90°

90° - 24° 13' 49” =

= 89°59'60" - 24° 13' 49”

= 65°46'11"

Answer:

65°46'11'' OR 65.76972222°

Step-by-step explanation:

Explanation above is better than mine

Answer:

[tex]n + 4 - 9 - 5n[/tex]

Answer: C

Step by step:

That's all!

Answer:

C.

Step-by-step explanation:

Answer:

Hey there!

m/-2-7=-9

m/-2=-2

m=4

Find the number line with a dot on the 4!

Hope this helps :)

Using trigonometric relations, it is found that:

[tex]\sin{\alpha}\cos{\alpha} = 0.22[/tex]

We are given that:

[tex]\sin{\alpha} + \cos{\alpha} = 1.2[/tex]

Hence:

[tex]\sin{\alpha} = 1.2 - \cos{\alpha}[/tex]

The basic relation is:

[tex]\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1[/tex]

Hence:

[tex](1.2 - \cos{\alpha})^2 + \cos^{2}{\alpha} = 1[/tex]

[tex]2\cos^{2}{\alpha} - 2.4\cos^{\alpha} + 0.44 = 0[/tex]

Which is a quadratic equation, with coefficients [tex]a = 2, b = -2.4, c = 0.44[/tex].

Using a quadratic equation calculator, and considering that the cosine has to assume a value between 0 and 1, it is found that the solutions are:

[tex]\cos{\alpha} = 0.9742, \cos{\alpha} = 0.2258[/tex]

Since [tex]\sin{\alpha} = 1.2 - \cos{\alpha}[/tex], there are two solution pairs:

[tex](\sin{\alpha}, \cos{\alpha}) = (0.9742, 0.2258)[/tex]

[tex](\sin{\alpha}, \cos{\alpha}) = (0.2258, 0.9742)[/tex]

They result in the same multiplication result, hence:

[tex]\sin{\alpha}\cos{\alpha} = 0.9742(0.2258) = 0.22[/tex]

To learn more about trigonometric relations, you can take a look at https://brainly.com/question/24680641

Answer:

96.2*10^5 gallons

Step-by-step explanation:

gallons of milk produced by 1 cow = 2.6×10^3

No. of cows with local dairy farm =  3.7×10^3

Total of gallons of milk produced by farm = gallons of milk produced by 1 cow * No. of cows with local dairy farm  = 2.6×10^3 * 3.7×10^3 = 9.62*10^6

we have to write it in standard form = 96.2*10^5 gallons

i can be also written as = 9,620,000 Gallons.

9.62 Million Gallons of milk is produced by local dairy farm Yearly.

Answer:

4 times faster

Step-by-step explanation:

From the above question, we have the following information

Let us represent the Distance traveled by Abigail as Y

On her skateboard she travelled two thirds of the way = 2/3Y

She walks the rest of the way home = Y - 2/3Y = 1/3Y

The time she used to walk home is twice the time she used to ride her skate board

Hence, let us represent the time she used to ride her skateboard as S

So, Time she used to walk home = 2 × S = 2S

The question is asking us, how fast ,this is = Speed

The formula for Speed = Distance/ Time

Speed for her skate board = 2/3Y/S = 2Y/3S

Speed as she walks = 1/3Y / 2S = Y/ 6S

How many times faster is Abigail on her skateboard than she is walking is calculated as :

Speed of Abigail while skating ÷ Speed of Abigail while walking

= 2Y/3S ÷ Y/6S

= 2Y/3S × 6S/Y

= 4

Therefore, Abigail was 4 times faster on her skateboard than she is walking.

Answer:

x = 7

Step-by-step explanation:

=> 7x+9 = 8x+2 (Corresponding angles are equal)

=> 8x-7x+2 = 9   (Subtracting 7x to both sides)

=> x = 9-2  (Subtracting 2 to both sides)    

=> x = 7

Answer:

A

Step-by-step explanation:

62 +65=127

C+127=180

C=180-127=53°

so x=53°

53-y=11

y=53-11=42

Answer: A

Step-by-step explanation:

Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.

We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.

62+65+x=180             [combine like terms]

127+x=180                   [subtract 127 on both sides]

x=53

Now that we have x, we can find y by plugging in.

53-y=11                         [subtract both sides by 53]

-y=-42                           [divide both sides by -1]

y=42

Answer: Grandfather is 84 the granddaughter is 7 years old(84 months

Step-by-step explanation:

We know the grandfather and the granddaughters age is a whole number meaning there are no decimals. the nearest number that is whole and lower than 91 is 84. 84 / 12 = 7  we can do this because 84 months is equivalent to 91 years ||| 84 + 7 = 91 therefore that is the answer

Answer:

The age of grandfather is 84 years

The age of granddaughter is 7 months.

Step-by-step explanation:

Given information

Grandfather's age in years is same as granddaughter's age in months.

Let, the age of granddaughter is [tex]x[/tex] in months

Then the age of grandfather will be [tex]12x[/tex] in years

Now , according to the given information

[tex]x+12x=91[/tex]

On solving the above equation

We get,

[tex]13x=91\\x=7[/tex]

Hence ,

The age of grandfather is 84 years

The age of granddaughter is 7 months.

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Answer:

Step-by-step explanation:

The slope is -3

You can now substitute (1,-5) for x and y

-5= -3+b  

b=-2

So in slope intercept form the answer is y=-3x-2

In point slope form the answer is 3x+y=-2

Answer:

-34.5≥ x

Step-by-step explanation:

The inequality represented by this graph is -34.5≥ x

We have given that

A number line going from negative 36 to negative 30. An open circle is at negative 34.5. Everything to the left of the circle is shaded. Negative 34.5 greater-than x Negative 34.5 less-than x Negative 35.5 greater-than x Negative 35.5 less-than x.

inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Simply because the values start from -34.5 and then decrease.

The inequality represented by this graph is -34.5≥ x.

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Answer:

remove insulation ,,,eat low on the food chain

Step-by-step explanation:

u can reduce it by 8 pounds

Answer:

remove insulation

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

Answer:

3) x = 27; m∠FDG = 62°; m∠GOF = 118°

Step-by-step explanation:

2x + 8 + 4x + 10 = 180

6x + 18 = 180

6x = 162

x = 27

Answer:

x = 27; m∠FDG = 62°; m∠GOF = 118°

Step-by-step explanation:I took the test

Answer:

C.21

Step-by-step explanation:

The value of 1/ (2x³ + 3.4y) is 1/33.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction = 1/ (2x³ + 3.4y)

We have the value x= 2 and y=5.

So,  1/ (2x³ + 3.4y)

=  1/ (2(2)³ + 3.4(5))

=  1/ (2(8) + 17)

=  1/ (16+17)

=  1/ 33

Hence, the value is 1/33.

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Answer:

£48

Step-by-step explanation:

56 ÷ 7 = £8

56 - 8 = £48

Please let me know if my answer is correct.

Answer:

48

Step-by-step explanation:

Answer:

Gretas car gets better gas mileage

Step-by-step explanation:

18 km= 18,000 miles

18,000>28

So, Gretas car gets better gas mileage

Hope this help!

Answer:

A

Step-by-step explanation:

The points

The points

A (3, 8),

B (6, 8),

C (6, 3),

D (5, 3)

need to be transformed to points

A'' (–3, 1),

B'' (–6, 1),

C'' (–6, –4),

D'' (–5, –4).

What transformations are made to make Building 4?

Answer:

smaller number = 5

larger number = 10

Step-by-step explanation:

Let

smaller number = x

larger number = x+5

"the smaller number is half of the larger" means

x+5 = 2x

Solve for x

5 = 2x -x = x

Therefore

smaller number = 5

larger number = 10

Answer:

The larger number is 10 and the smaller is 5 less, or 5.

Step-by-step explanation:

Represent the larger and the smaller numbers by L and S.

Then L = S + 5, and S = L/2

Substituting L/2 for S in the first equation, we get L = (L/2) + 5

Multiplying both sides by 2, we get 2L = L + 10, or L = 10.

The larger number is 10 and the smaller is 5 less, or 5.

Answer:

A. No, because the product of the slopes is not -1

Step-by-step explanation:

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

m = (y2 - y1)/(x2 - x1)

Therefore:

Two lines are perpendicular if the product of their slopes is equal to minus one. In this case, m1*m2 = 3*(-0.4) = -1.2 ≠ -1

Answer:

Yes, because the product of the slopes is −1.

Step-by-step explanation:

I took the test :)

Answer:

P = 2x² + 8x - 30

P = 12 (if x = 3)

Step-by-step explanation:

Perimeter Formula: 2l + 2w

Step 1: Find perimeter

2(2x² - 16) + 2(-x² + 4x + 1)

4x² - 32 - 2x² + 8x + 2

2x² + 8x - 30

Step 2: Plug in x = 3

2(3)² + 8(3) -30

18 + 24 - 30

42 - 30

12

Answer:

Scalene and right

The given triangle is the right-angle triangle.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.

Hence, the given triangle is the right-angle triangle.

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Answer:

I got x<3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Add 5 to both sides.  Then:  3x < 9 and x < 3.

The solution is the area to the left of x = 3 (but not touching x = 3).

Answer:

Step-by-step explanation:

(3a) - 27 = 3a - 3^3 = 3(a - 3^2)

Next time, please share all of the answer choices.  Thanks.

Answer:

The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles

Step-by-step explanation:

The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;

The available different lengths of segments joining two vertices of a cube of side length s = 2 are;

2, 2·√2, and 2·√3

Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows

Distinct triangle one = 2, 2, 2·√2

Distinct triangle two = 2·√2, 2·√2, 2·√2

Distinct triangle three = 2, 2·√3, 2·√2

Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.

Number 1: To find number 1 use hypotenuse theory. 180-(69+31) is the equation. After you solve it you get m<1 as 80.

Number 2: Since you already found m<1 find the other angle across from it.

Equation is: 180-80, which equals to 100.

Then once you have two angles use the theory again: 180-(100+45)=35.

Therefore m<2=35.

Number 3: Still using m<1, 180-100=80. Now you have to angles you get the equation:

180-(80+47), which equals to 53. Therefore m<3=53

Answers: m<1=80; m<2=35; m<3=53

Answer:

1= 80

2= 35

3= 33

Step-by-step explanation:

First start by solving for angle 1. A triangle is always equal to 180 degrees so if you know triangle 1 has an angle equal to 69 degrees and another angle equal to 31 degrees then all you would need to do is add them up (this equals 100) and subtract that sum from 180 to find the difference (it's 80.)

Now that you know angle 1 is equal to 80 you can solve angle 2 and 3. When there are intersecting lines, the angles across from each other are always equal. So, it is safe to assume that the angle across from angle 1 is also 80 degrees. This will help us figure out the other angles in triangles 2 and 3. These four intersecting angles will equal 360, therefore because angle 1 and the angle across from it equal 80 degrees, then what we can do is add up 80+80 (which equals 160) then subtract that from 360 (which equals 200.) Because the two undetermined center angles are equal to each other, we can simply divide 200 by 2 to get 100.

Now that we know that triangle 2 has angles equal to 45 and 100 degrees, and triangle 3 has angles equal to 47 and 100 degrees, we can figure out what angles 2 and 3 are. To find angle 2 we will add 45 and 100 to get 145, then we'll subtract it from 180 like before to get 35. To find angle 3 we will add 47 and 100 to get 147, then we'll subtract it from 180 like before to get 33.

Answer:

scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Consider the ratio of corresponding coordinates of the image to original, that is

scale factor = [tex]\frac{2}{10}[/tex] = [tex]\frac{-3}{-15}[/tex] = [tex]\frac{1}{5}[/tex]