1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5

Answers

Answer 1

Answer

(tan x + 3)=5

Step-by-step explanation:


Related Questions

Pls help me, is for my gf

Answers

Answer:

tell ur gf good luck because what this is

also no hablo español

Answer:

x-bar, the average between all the values, x1+x2+x3/3

The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds

b.) 0.25 seconds

c.) 0.5 seconds

d.) 1 second

Answers

Answer:

c. o.5seconds

Step-by-step explanation:

y=-16t^2 +4t+2

=-2(8t^2 -2t-1)

=-2(8t^2 -4t+2t-1)

as the object hits the ground y =0

0 =-2(4t+1)(2t-1)

(4t+1)(2t-1)=0

t=-1/4 meangless

t=1/2

=0.5seconds

The time at which the object hit the ground is 0.5 second.

The correct option is (C).

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

y= -16t² +4t+2

Now, the time at which the object hit the ground

y = 0

-16t² +4t+2 = 0

-2(8t² -2t-1) = 0

8t² -2t-1 = 0

8t² -4t + 2t -1 = 0

(4t+1)(2t-1) = 0

So, 4t+ 1= 0 or 2t- 1=0

t= -1/4 or t = 1/2.

Hence, the object will hit the ground at t= 0.5 second.

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Select the equation of a straight line that is parallel to the line 4y = 3x + 5.

Answers

Answer:

B)

Step-by-step explanation:

4y = 3x + 5 has a slope of 3/4

4y = 3x - 1 has a slope of 3/4

parallel lines have equal slopes

The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.

To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line

The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:

y = (3/4)x + 5/4.

The slope of the given line is (3/4).

To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:

A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.

B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.

C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.

D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.

Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.

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What is the area of a rectangle with 4 1/3 length and 2 1/2 width?

Answers

2 would be the answer too this question

If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole

Answers

Answer:

t = 18 minutes.

Step-by-step explanation:

We can find the time by using the following kinematic equation:

[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]  

[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]  

Where:  

Δy: is the difference between the initial and the final height = 50.4 m

t: is the time  

a: is the acceleration

v₀: is the velocity of the drill = 2.8 m/min

Since the speed of perforation is constant, the acceleration is zero so:

[tex]\Delta y = v_{0}t[/tex]    

Then, by solving the above equation for "t" we have:

[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]

Therefore, it takes 18 minutes to drill the hole.  

I hope it helps you!    

Find the surface area

Answers

Answer:

144

Step-by-step explanation:

Surface Area is the area of every side.

Top and bottom:  6*8/2=24 (area of a triangle)

small side: 6*4=24

medium side: 4*8=32

large side: 4*10=40

So answer 24+24+24+32+40=144

Have a Great Day! (This is my first answer)

What is one example of a rectangular prism with a volume of 64?
That's NOT 4x4x4 or 8x4x2!!!

Answers

Answer:

16 × 2 × 2

Step-by-step explanation:

64 = 2 × 2 × 2 × 2 × 2 × 2

=> 16 × 2 × 2

A:Alternate interior angles
B:Corresponding angles
C:Consecutive interior angles
D:Vertical angles

Answers

relationship between v and x is C:Consecutive interior angles

Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.​

Answers

Answer:

36.6

Step-by-step explanation:

The amount of area Lisa will paint is 288 square inches.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to determine the area Lisa will paint:

From the question, we have the following parameters that can be used in our computation:

Triangular prisms (1) to (6)

The area Lisa will paint is the literal surface of the shape

Using the above as a guide, we have the following:

Literal Area = (a + b + c) * h

Where

a, b and c = 6, 8 and 10

h = 12

Substitute the known values in the above equation, so, we have the following representation

Literal Area = (6 + 8 + 10) * 12

Evaluate

Literal Area = 288

The above is the literal surface area of the prism

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1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5

Answers

key ans lang yan sana makatulong HAHAHA

There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored pencils are there?
Draw a picture and solve vertically.

Answers

Answer:

I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31

Step-by-step explanation:

If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31

So therefore 31 of the pencils are colored. Hope this helps!

The amount of interest accrued on
a $7,000 loan with 6% interest after t years.

Answers

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.

Answers

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 132, find the numbers.

Answers

Let the larger number be x

The smaller number would be 1/5x

X - 1/5x = 132

Simplify:

4/5x = 132

Divide both sides by 4/5:

X = 165

1/5x = 1/5(165) = 33

The numbers are 165 and 32

If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?
Question 9 options:

A)

∠A + ∠C ≅ ∠B

B)

∠A ≅ ∠B

C)

∠A ≅ ∠C

D)

∠B ≅ ∠C

Answers

Answer:

A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary

Answer:

Answer A is incorrect

Step-by-step explanation:

Just took the test

f(x) = 6x + x 2 I have to find the x-intercept

Answers

Answer:

x= -6,0

Step-by-step explanation:

y=6x + x²

at x intercept, y=0

0= 6x +x²

-6x=x²

therefore,

x=0, x=-6

what shape is that? Please don't answer the question, i just need to know the shape.​

Answers

Answer:

Rectangle.

Step-by-step explanation:

It has 4 sides.

Answer:

It is a Wedge

Step-by-step explanation:

Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge

Use the standard algorithm to find the product of 125 x 16.
Ok

Answers

Answer:

2,000

Step-by-step explanation:

125 x 16  = 2000

In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1

Answers

Answer: 7 x + 6 = 6 x minus 3

Step-by-step explanation:

2 (x + 3) + 5 x = 3 (2 x minus 1)Now you distribute.2(x) + 2(3) = 2x+6And 3(2x) minus 3(1) = 6x minus 32x+6+5x = 6x minus 3Then combine like terms2x +5x=7x and there are no other like terms on either side of the equation.7x+6= 6x minus 3

Answer:7x+6=6x-3

Step-by-step explanation:

Y=-2x find Oder pairs

Answers

The answer is d1 to the second power because you divide to the second

Which rectangle has a greater length?
a. area = 80 cm^2 (5cm)
(?cm)

b. area = 120 cm^2 (8cm)
(?cm)

Answers

Answer:

the answer for the question is 1.5

The line AB is shown on the grid.
0%
6-
a) Find the gradient of a line
perpendicular to AB.
5-
3-
b) Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.
B В
+
Х
-B
LE
0
ab
А
2-

Answers

Answer:

1) The gradient of a line perpendicular to AB.→ [-2}

2) The equation of the line perpendicular to AB and passing

through the midpoint of AB. →[y=-2x+6]

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

hope it helps....

have a great day!!

Answer:

-2

Step-by-step explanation:

yep

Factorise 18a²y - 27ay?

Answers

Answer:

Factorise 18a²y - 27ay

=9ay(2a-3)

Step-by-step explanation:

9ay(2a-3)

hope it is helpful to you

Help me and I’ll give you brainliest

Answers

Answer:

49

Step-by-step explanation:

What is the measurement of angle x

Answers

C is a vertical angle which the vertical side is corresponding to the vertical side of x°.

105°+54°+y°=180°

159°+y°=180°

y°=21°

Meaning, x=21°.

Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

see image for question

Answers

Answer:

the correct option is " A= 5t+100 ".

Help me plz I suck at math

Answers

I think it is B but i am not sure

Your company is considering offering 500 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 100 managers, 200 factory workers, and 400 miscellaneous staff, find the following probabilities, leaving the answers as formulas.

a. All the managers will be offered the opportunity.
b. You will be offered the opportunity.

Answers

Answer:

a)

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b)

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Step-by-step explanation:

Given

The total number of opportunities to employees for transfer = 500

Company currently has  100 managers, 200 factory workers, and 400 miscellaneous staff

a) All the managers will be offered the opportunity

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b) You will be offered the opportunity

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Please help me on this for my quiz: If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?

Answers

Answer:

k = -5

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 2

y = -10

Work:

y = kx

-10 = 2k

k = (-10)/2

k = -5

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