What is the value of y?
B
1
5
5
60°
A
60°
C
5

Answer:

1/2.

Step-by-step explanation:

The inclination of the line to the x axis = 1/3*√3

= √3/3.

This is the tangent of the angle.

The sine of the angle =√3/hypotenuse.

The hypotenuse = √( √3)^2 + 3^2)    (By the Pythagoras theorem)

= √12

= 2√3

Therefore the required sine is  √3/  2√3

= 1/2.

I think that's what you want!!

Answer:

I think the answer is C.

Answer:

The graph is shifted 7 units right and 5 units up.

Answer:

1/25 of a mile per minute, I think

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

V=S:t=1/5÷5=1/5*1/5=1/25

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

Answer:

Step-by-step explanation:

If this is in terms of angles, 4x+6 must be equal to 90 since it is half of the angle produced by a line (180°) So solving for 4x+6=90, x=21

Answer:

128.06

Step-by-step explanation:

think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :

80^2 + 100^2 = c^2

16400 = c^2

c = 128.06

Answer:

i might be wrong but this is what i put

Step-by-step explanation:

In question 3 it was comparing three triangles where now it is using the triangles to find the area of a square instead of proving that they are the same.

Answer:

x=5

Step-by-step explanation:

Use the distributive property and the addition and subtraction properties of equality to solve.

3.5+7.56-8.4x=9.38

11.06-8.4x=9.38

-8.4x=-1.68

x=5

Answer:

options:

B,C,D

Step-by-step explanation:

Answer:

-24 x^7

Step-by-step explanation:

(-2x^2)^3 ·3x

(-2x^2) (-2x^2) (-2x^2)*3x

-8 x^6 *3x

-24 x^7

(1) This series consists of terms of an arithmetic sequence:

179 - 173 = 6

173 - 167 = 6

and so on, so that the n-th term in the series is (for n ≥ 1)

a(n) = 179 - 6 (n - 1) = 185 - 6n

Then the sum of the first 53 terms is

[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = 185\sum_{n=1}^{53}1-6\sum_{n=1}^{53}n[/tex]

[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = 185\times53-6\times\frac{53\times54}2[/tex]

[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = \boxed{1219}[/tex]

(2) This series has terms from a geometric sequence:

-12 / 6 = -2

24/(-12) = -2

-48/24 = -2

and so on. The n-th term is (again, for n ≥ 1)

a(n) = 6 (-2)ⁿ⁻¹

and the sum of the first 19 terms is

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 + (-2) + (-2)^2 + (-2)^3 + \cdots+(-2)^{19}\right)[/tex]

Multiply both sides by -2 :

[tex]\displaystyle-2\sum_{n=1}^{19}6(-2)^{n-1} = 6\left((-2) + (-2)^2 + (-2)^3 + (-2)^4 + \cdots+(-2)^{20}\right)[/tex]

Subtracting this from the first sum gives

[tex]\displaystyle(1-(-2))\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)[/tex]

and solving for the sum, you get

[tex]\displaystyle3\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)[/tex]

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-2)^{20}\right)[/tex]

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-1)^{20}2^{20}\right)[/tex]

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -2^{20}\right) = 2-2^{21} = \boxed{-2,097,150}[/tex]

As the name implies, a two-step equation is an equation that is solved in just two steps. There are several two-step equations; an example that can be set up as a two-step equation is a target savings with an initial amount and a constant rate of savings.

To set up the target savings equation, we consider the following parameters (I will assume values for the parameters).

[tex]Amount = \$1000[/tex]

[tex]Initial\ Capital = \$50[/tex]

[tex]Rate = \$2[/tex]

Let x be the number of savings.

[tex]Initial\ Capital + Rate \times x= Amount[/tex] ----- the equation

Mathematically, we have:

[tex]50 + 2x = 1000[/tex]

The equation is solved as follows:

The first step is to isolate the variable term by subtracting 50 from both sides

So, we have:

[tex]2x = 950[/tex]

The second step is to solve for x by dividing both sides of the equation by 2

[tex]x = 475[/tex]

This means that you have to save $2 in 475 times to reach the target amount

Read more about two-step equations at:

https://brainly.com/question/17180192

Part 1

Let the consecutive multiples be 5x and 5x + 5

ATQ

5x + 5x + 5 = 55

10x = 55 - 5

10x = 50

x = 5

Answer is 25 and 30

Part 2

Let the number be x , x + 1, x + 2

ATQ

x + x + 1 + x + 2 = 93

3x + 3 = 93

3x = 93 - 3

x = 90/3

x = 30

The integers are 30,31 and 32

Part 3

Let the number be x

ATQ

3x - 5 = 10

3x = 10 + 5

x = 15/3

x = 5

The number is 5

Answered by Gauthmath must click thanks and mark brainliest

Answer:

9.75 meters

Step-by-step explanation:

Davis and Catherine are approximately 13.90 meters apart.

To find the distance between Davis and Catherine, we can use the concept of right triangles and apply the Pythagorean theorem.

Let's consider a right triangle where the distance between Davis and Mrs. Kennedy is the base, the distance between Mrs. Kennedy and Catherine is the height, and the distance between Davis and Catherine is the hypotenuse.

According to the given information, Mrs. Kennedy is 7 meters in front of Catherine, and Davis and Mrs. Kennedy are 12 meters apart.

Using the Pythagorean theorem, we have:

(Base)² + (Height)² = (Hypotenuse)²

Substituting the given values:

(12)² + (7)² = (Hypotenuse)²

Simplifying the equation:

144 + 49 = (Hypotenuse)²

193 = (Hypotenuse)²

Taking the square root of both sides:

√193 ≈ 13.89 = 13.90

Therefore, Davis and Catherine are approximately 13.90 meters apart.

Learn more about distance at

https://brainly.com/question/26550516

#SPJ2

Step-by-step explanation:

180-46 = 134

180 - 13 = 177

177-134 = 43

? = 43

Answer:

+6

Step-by-step explanation:Look at the trend of numbers and notice. Maybe put it in a table.

Answer:

Hello,

Step-by-step explanation:

All i can do is to show you the ellipse.

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations.

Step-by-step explanation:

A relative frequency distribution can be regarded as a distriburion that display the proportion of the total number of observations that is been associated with class of values or each of the value, and this relate to a probability distribution that is been used extensively in statistics. A relative frequency distribution gives the lists of the data values with percent of all observations that belongs to each group. The relative frequencies are been calculated through the division of the frequencies for each group using the total number of observations.

It should be noted that In a Relative frequency distributions, the relative frequency is found by dividing the class frequencies by the total number of observations.

Answer:

simple 49+44=93 then you do 180 is the angle of a straight line so we do 180-93=87

[tex]Total \: length = 1 \: yard \\ Finished \: length = \frac{3}{8} \: yard \\ \\ so \: remaining \: length \\ = total \: length - finished \: length \\ = 1 \: yard - \frac{3}{8} \: yard \\ = \frac{8}{8} \: yard - \frac{3}{8} \: yard \\ = \frac{5}{8} yard[/tex]

This is the answer.

Hope it helps!!

Answer:

Relative error = 0.19

Step-by-step explanation:

From the question given above, the following data were obtained:

Measured age = 32 years

Actual age = 27 years

Relative error =?

Next, we shall determine the absolute error. This can be obtained as follow:

Measured age = 32 years

Actual age = 27 years

Absolute error =?

Absolute error = | Measured – Actual |

Absolute error = | 32 – 27 |

Absolute error = 5 years

Finally, we shall determine the relative error. This can be obtained as follow:

Absolute error = 5 years

Actual age = 27 years

Relative error =?

Relative error = Absolute error / Actual years

Relative error = 5 / 27

Relative error = 0.19

Step-by-step explanation:

4.15 × 3.85

= (4 + 0.15) ( 4 - 0.15)

= (4)^2 - (0.15)^2

= 16 -- 0.0225

= 15.9775

HOPE IT HELPS

Answer:

101 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the other not-shaded angle in the lower triangle is also 42 degrees.

the shaded angle is therefore

180 - 37 - 42 = 101 degrees

Answer:

[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]

[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]

[tex]=2^{5-5} 3^{-5}[/tex]

[tex]=2^{0} 3^{-5}[/tex]

[tex]=3^{-5}[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

B(3^-5) and D(2^5*6^-5)

Step-by-step explanation:

I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched

Answer:

Step-by-step explanation:

Sum = -9

Product = 20

Factors = -5 , -4    {-4 * -5 = 20 & -5 + (-4) = -9}

x² - 9x + 20 = 0

x² - 5x  - 4x + 20 = 0     Rewrite middle term

(x² - 5x) - 4x + 20 = 0        Group terms

x(x - 5) - 4(x - 5) = 0         Factor terms

(x-5)(x -4)=0

x -5 = 0   ; x - 4 = 0

x = 5       ; x  = 4

Ans: x = 5 , 4