If tanθ = 4, what are possible values of cos(θ)?
A. -1/5, 1/5
B. 1/5, 4/5
C. -1/√17, 1/√17
D. 1/√17, 4/√17

Answer:

95.36 ft

Step-by-step explanation:

Volume of a Cone[tex]=\frac{1}{3}\pi r^2 h[/tex]

Radius=7 ft, Height=12 ft

Therefore the volume of sand in the cone

[tex]=\frac{1}{3}\pi *7^2*12\\=615.7522$ ft^2[/tex]

If the sand was used to build as pyramid with a base of 4ft by 5ft.

Volume of a Pyramid[tex]=\frac{1}{3}*$Base Area* Height[/tex]

[tex]615.7522=\frac{1}{3}*(4*5)* Height\\615.7522=\dfrac{20}{3}* Height\\$Multiply both sides by \dfrac{3}{20}\\$Height =615.7522*\dfrac{3}{20}\\\\$Height of the pyramid=95.36 ft[/tex]

Answer:

26

Step-by-step explanation:

Thus, f(b)−f(a)b−a=3(4)−(3(1))4−(1)=26.

Answer:

Opposites are basically the negative and positive of a number.  I cannot think of something for a real world situation though.

Step-by-step explanation:

Answer:

5(x-4)-6

Step-by-step explanation:

If we subtract 6 from both sides, using the additive property of equality, we get that y, or f(x), equals 5(x-4)-6

Answer: 58.016

Step-by-step explanation:

Answer:

58.016

Step-by-step explanation:

9.8×5.92=58.016

Answer:

No.

Step-by-step explanation:

If you find the volume of the box which is 300, then divide by 2, you get 150. That's a whole number.

Answer:

7920, 2925

Step-by-step explanation:

The four-digit number has to be a multiple of 5 and also a multiple of 9. So, the last number is either a 0 or a 5, and the addition of the 4 digits must be equal to 9, 18, 27, et cetera, like every multiple of 9.

For the case: _920, the addition of digits gives 11, then the only possible first digit is 18-11 = 7

For the case: _925, the addition of digits gives 16, then the only possible first digit is 18-16 = 2

Answer:

In decimal form it's 0.69897000... and in exact form it's 5

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

7(2 - x) = 28

Distribute

14 -7x = 28

Subtract 14 from each side

14-7x-14 = 28-14

-7x = 14

Divide each side by -7

-7x/-7 = 14/-7

x = -2

Answer:

5/4 i think

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

Answer:

[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]

Step-by-step explanation:

we are given some coordinates

(1,6),(2,19),(3,38),(4,63),(5,94)

we want to figure out the quadratic equation which passes those coordinates

notice that, the coordinates in quadratic sequence

we know that,

A sequence is quadratic if and only if it has second difference

recall that,

these formulas are necessary to figure out a,b and c

because we know that

Quadratic equation standard form:

[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]

therefore to figure out a,b and c these formulas are important

let's figure out a:

we got that 2nd difference is 6 thus

[tex] \displaystyle 2a = 6[/tex]

divide both sides by 2

[tex] \displaystyle \frac{2a}{2} =\frac{ 6}{2}[/tex]

[tex] \displaystyle a = 3[/tex]

let's figure out b:

by using the second formula we can figure out b

our [tex]U_1[/tex] and [tex]U_2[/tex] are 6 and 19 respectively

substitute:

[tex] 3 \cdot 3 + b = 19 - 6[/tex]

simplify multiplication:

[tex]9+ b = 19 - 6[/tex]

simplify substraction:

[tex]9+ b = 13[/tex]

cancel 9 from both sides:

[tex]b = 4[/tex]

let's figure out c:

our [tex]U_1[/tex] is 6

substitute:

[tex] \displaystyle 3 + 4 + c = 6[/tex]

simplify addition:

[tex] \displaystyle 7 + c = 6[/tex]

cancel 7 from both sides:

[tex] \displaystyle c = - 1[/tex]

altogether substitute a,b and c to quadratic equation:

[tex] \displaystyle 3 {x}^{2} + 4x - 1 = 0[/tex]

and we are done!

Answer:

y= mx+b

Step-by-step explanation:

Slope intercept formula:

y=mx+b

m= slope

b= y intercept

Answer:

The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation , y = mx + b becomes y = 0x +b y = b. Also,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.

Step-by-step explanation:

Answer:

dy/dx = d/dx sin(x-3/x+2)

dy/dx = cos(x-3/x+2) . d/dx (x-3/x+2)

dy/dx = cos(x-3/x+2) . (x + 2 - x + 3)/(x+2)²

dy/dx = [5cos(x-3/x+2)]/(x + 2)²

Answer:

it would be like 90 feet

Step-by-step explanation:

hope this helps give me brainiest please

Answer:

1. 17/12

2. 12/17

Step-by-step explanation:

The teacher is 1.42 times as tall as the student and the required fraction is given by 17/12

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here; Height of the student = 4 ft. and height of teacher =5²/₃

Ratio of the height of the teacher and student is

= 5+2/3  / 4   ( 5²/₃=5+2/3 , property of mixed fractions)

= 17/3 × 1/4

=17/12

=1.4166

Thus we can say that the height of teacher is 1.42 times as tall as the student.

Also as given above the teacher's height is 17/12 the students height.

Hence, The teacher is 1.42 times as tall as the student and the required fraction is given by 17/12

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ5                                                                            

choose bag b because there is a higher chance that u will get a power of

Answer:

y=-4x+11

Step-by-step explanation:

We can use the point-slope form of a line to solve this, which is

y - y₁ = m (x - x₁), where (x₁ , y₁) is a point and m is the slope.

We have:

y - 3 = -4(x - 2)

y - 3 = -4x + 8

y = -4x + 11

Hope this helps!

Answer:

I think its D

Step-by-step explanation:

sry if im wrong

Answer:

A dfe

Step-by-step explanation:

The answer is a you can tell because a triangle is equal to 180 do the math is A dfe

Answer: 57

Step-by-step explanation:

The sum of the two inside angles(y + y) , not neighbouring to the outside angle(114), equals to the outside angle) (114

Then

2 y = 114

Y = 57

Answer:

E

Step-by-step explanation:

[tex] {5.6}^{ - 5} \times {3.4}^{ - 7} \times {5.6}^{3} \times {3.4}^{ - 4} = {5.6}^{ - 2}. {3.4}^{ - 4} [/tex]

Hope this helps...

Answer:

49 and 46

Step-by-step explanation:

because they are greater than 45 but less than 50.

Answer:

D . 2x = 5

Step-by-step explanation:

cause it seems like the hanging thing is in balance -> both sides need to be equal in value. the left side contains 2 x-es, and the right side contains 5 ones.

Answer:

The correct option is the letter "C", [tex](x + 2)^2 + (y + 10)^2 = 1.44[/tex].

Step-by-step explanation:

The standard form for a circle's equation has the following structure:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

Where [tex](x_c,y_c)[/tex] are the coordinates of the center of the circle and [tex]r[/tex] is the radius. Applying the data from the problem we have:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2\\\[[x - (-2)]^2+ [y - (-10)]^2 = (1.2)^2\\(x + 2)^2 + (y + 10)^2 = 1.44[/tex]

Therefore the correct answer is the letter "C", [tex](x + 2)^2 + (y + 10)^2 = 1.44[/tex].

Answer:

10 so A

Step-by-step explanation:

Answer:

Either x+15 or x-17.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

First find the values where f(x) = g(x)

These occur when the graphs intersect

x = -2, -1, 2

These are the points where the graphs intersect

Given the choices of -1,2,3,-2

They do not intersect at 3

Answer:

-3, 4, -4

Hope this helps :)

Answer:

-3

Step-by-step explanation:

they all go to the negative side of them every other number. Hope that this helps you and have a great day :)

Step-by-step explanation:

mean=total÷no.

30÷50=0.6

Answer:

A. 240/7

Step-by-step explanation:

10^4x/24 * 10^3x/24 = 10^10

10^7x/24 = 10^10

7x/24 = 10

x = 240/7