Solve for x: 3(x + 1) = 2(x − 1)

Answer: 8 miles

Step-by-step explanation:

1.25m+6=2m

--1.25m. -1.25m

6=.75

6/.75m=8 mile

s

A 30-60-90 triangle is a right triangle where the three interior angles are 30°, 60°, and 90°.

Let, the shorter leg of a 30 60 90 triangle is equal to a. Then:

If we know the shorter leg length, we can find out that:

In the 30 60 90 triangles :

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If sinθ⋅cosθ = 1/2, then the value of sinθ + cosθ = √2

We know that the trigonometric sine function is nothinng but the ratio of the length of the opposite side of angle to that of the hypotenuse in a right triangle.

And cosine function (cos function) is the ratio of the length of the adjacent side of angle to that of the hypotenuse.

Given that  sinθ⋅cosθ = 1/2

2(sinθ⋅cosθ) = 1             .........(1)

We know that trigonometric identity,

sin(2θ) = 2 sinθ cosθ

so equation (1) becomes,

sin(2θ) = 1            

We know that sin(π/2) = 1

Comparing with equation sin(2θ) = 1 we get,

2θ = π/2

θ = π/4          

Using trigonometric table,

sin(π/4) = 1/√2

and cos(π/4) = 1/√2

The value of  sinθ+cosθ would be,

sin(π/4) + cos(π/4)

= (1/√2) + (1/√2)

= 2/√2

= √2

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The complete question is:

If sinθ⋅cosθ=1/2 find the value of sinθ+cosθ

Answer:

m<1=50

m<2=130

m<3=50

m<4=130

m<5=40

m<6=40

m<7=90

m<8=140

Step-by-step explanation:

The area of the floor in the scale drawing is 60 inches².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangle:

Length = 24 feet

Width = 40 feet

Scale rectangle:

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scaled rectangle.

= Length x Width

= 6 x 10

= 60 inches²

Thus,

The area of the scaled rectangle is 60 inches².

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Answer: A

Step-by-step explanation:

I took the test

Answer:

to solve this problem you have to take 9 over 20 (by assuming replacing the marbles)

9/20 is the experimental probability for a green marble to be picked

9/20 = 45%

Answer:

B 16/3

Step-by-step explanation:

on edg

The volume of the pyramid shown is 16√3 cm³.

Volume of a three dimensional shape is the space occupied by the shape.

Given a solid oblique pyramid.

It has an equilateral triangle as a base with an edge length of 4√3 cm and an area of 12√3 cm².

Volume of the pyramid = 1/3 × base area × height

Base area = 12√3 cm²

Height = 4√3 × tan (30°) = 4√3 × 1/√3 = 4

Volume = 1/3 × 12√3 × 4

             = 16√3 cm³

Hence the volume is 16√3 cm³.

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Answer:

10^-3

10^-7

10^-8

10^-9

10^-6

Step-by-step explanation:

mark me brainliest pls

Answer:

80%

Step-by-step explanation:

divide the number of days that there was sun (4) by the total number fo days (5), then multiply by 100 to get to a percent.

if you have any questions, leave them in the comments and i will try to answer them, if this helped, please give brainliest.

Answer:

50

Step-by-step explanation:

Answer:

72xy1

Step-by-step explanation:

becuz the multiple of 9,6 and 24 is 72 and the multiple of x is 1x which is just x and the multiple of y is 1y

According to a recent study of 35 students,Population-wide, there was a 2.8-hour standard deviation. 16.60 is the population mean's 95% confidence interval.

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Answer:

268°

Step-by-step explanation:

[tex] In\: \odot O, [/tex] AB is diameter.

So, [tex] \widehat{AB} \:\&\: \widehat {BA}[/tex] are semicircular arcs.

[tex] \therefore m\widehat {AB} =m\widehat {BA} = 180\degree [/tex]

[tex] \because \: m\widehat {BC} = m\widehat {BA} - m\widehat {CA} [/tex]

[tex] \therefore \: m\widehat {BC} = (180-92)\degree [/tex]

[tex] \therefore \: m\widehat {BC} =88\degree [/tex]

[tex] \because m\widehat {ABC} = m\widehat {AB}+m\widehat {BC} [/tex]

[tex] \therefore m\widehat {ABC} = 180\degree+88\degree [/tex]

[tex] \therefore m\widehat {ABC} = 268\degree [/tex]

The function which has greater slope is Function 2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Function 1:

y = -2x + 10

and Function 2:

Slope = (5-10)/( 2-0) = -5/2

So, the Equation of line

(y - 10) = -5/2 (x -0)

y - 10 = -5/2x

y = -5/2x + 10

y= -2.5x +10

So, the slope of Function 1 is greater than slope of function 2.

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The answers are given as 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m

A curve is defined as a smoothly- flowing continuous line that has bent. It does not have any sharp turns. The way to identify the curve is that the line bends and changes its direction at least once. Curve of the graph is a pictorial representation of a particular function.

Given :  A object is thrown from the top of the building thus by observing the graph we derive the following information

1) Maximum height = 165 m

2) The object reaches maximum height at t=3 seconds

3) The time it took to reach the ground is 9 seconds

4) The building is 120 m tall

Hence, the answers are  1) 165 m 2)3 seconds 3) 9 seconds 4)120 m

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Answer:

Step-by-step explanation:

(-1, 1):  You can see that a vertical line through x = -1 is the center line (axis of symmetry) of this parabolic graph.  The vertex lies 1 unit above the x-axis:  y = 1.

Answer:

The answer is c- 1/2

Step-by-step explanation:

Answer:

You need to combine like terms

Answer:

12/7 is a improper fraction

Step-by-step explanation:

as a decimal it is 1.71428571429 and as a mixed number it is 1 5/7

Answer:

its gonna be 1 5/7

Step-by-step explanation:

7 goes into 12 1 time and there is 5 left over so thats gonna be 1 and 5/12 or

1 5/12

The Answer is D

I REALLY hope this helps :D

It is the graph of f(x) translated 3 units down.

Answer:

D

Step-by-step explanation:

Because f(x) translated 3 down

Answer:

kt 5.20 yes

Step-by-step explanation:

5.20

Step-by-step explanation:

The rule for g(x) = f(x-1)-3 is g(x) = (x-1)⁶-3(x-1)³ - 1

A function is an expression, rule, or law that defines a relationship between an independent variable and a dependent variable. Based on the information given, we can see that the variables that are illustrated in the question are f and g.

In order to write the rule for g(x) = f(x-1)-3 when f(x) = x⁶ - 3x³ + 2, replace x with x-1 in f(x) and subtract 3. That is:

g(x) =  f(x - 1) - 3

g(x) = (x-1)⁶ - 3(x - 1)³ + 2 - 3

g(x) = (x-1)⁶ - 3(x - 1)³- 1

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Answer:

[tex]A_s=2.28yd^2[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=2yd[/tex]

Pie [tex]\pi=3.14[/tex]

Generally the equation for Area of the shaded part [tex](A_s)[/tex] is mathematically given by

[tex]A_s=Area\ of\ semi-circle(A_c)-Area\ of\ triangle(A_t)[/tex]

Generally the equation for Area of semi-circle is mathematically given by

 [tex]A_c=\frac{1}{2}\pi r^2[/tex]

 [tex]A_c=\frac{1}{2}*(3.14) (2)^2[/tex]

[tex]A_c=6.28yd^2[/tex]

Generally the equation for Area of triangle is mathematically given by

 [tex]A_t=\frac{1}{2} base*height[/tex]

 [tex]A_t=\frac{1}{2} (2+2)*2[/tex]

 [tex]A_t=4yd^2[/tex]

Therefore Area of the shaded part [tex](A_s)[/tex]

 [tex]A_s=A_c-A_t[/tex]

 [tex]A_s=6.28yd^2-4yd^2[/tex]

 [tex]A_s=2.28yd^2[/tex]

x = liters of solution at 20%

y = liters of solution at 70%

[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{acid only}}&\stackrel{\textit{liters of}}{\textit{acid only}}\\ \cline{2-4}&\\ \textit{Sol'n at 20\%}&x&0.2&0.2x\\ \textit{Sol'n at 70\%}&y&0.7&0.7y\\ \cline{2-4}&\\ mixture&50&0.4&20 \end{array}~\hfill \begin{cases} x + y = 50\\\\ 0.2x+0.7y=20 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies x=50-y}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{0.2(50-y) + 0.7y=20} \\\\\\ 10-0.2y+0.7y=20\implies -0.2y+0.7y=10\implies 0.5y=10 \\\\\\ y=\cfrac{10}{0.5}\implies \boxed{y=20}[/tex]

Answer:

Step-by-step explanation:

Perimeter is the addition of all the sides.

So in this question, if you add up all the sides :

14x + 8x +7x +12

Simplify by adding all terms with x :

29x + 12  

(As you can not add a number constant to a variable )

The ratio of surface area to volume is 6:s

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Given that, A cube has an edge length given by the variable “s”. It’s surface area and volume can be given in terms of the edge length by: surface area= 6s² volume= s³

The ratio = 6s² / s³

= 6 / s

Hence, the required ratio is 6:s

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Answer:

3 tan theta=root 3

tan theta=root 3/3

tan theta=0.57

Step-by-step explanation: