If tanA=1/7 and tanB=1/3 prove that cos2A=sin4B

Answer:

You get negatives

Step-by-step explanation:

Imagine that you have 67 and you need to subtract that by 107

you would do 67-107 or 107-67 then add a negative symbol.

67 - 107 = -40

Step-by-step explanation:

to make it easier we bring it to the pure y = ax + b form.

y + 1 = 7/8 x

y = 7/8 x - 1

x = -2

y = (7/8 × -2) - 1 = -7/4 - 1 = -7/4 - 4/4 = -11/4

x = 0

y = (7/8 × 0) - 1 = 0 - 1 = -1

x = 1

y = (7/8 × 1) - 1 = 7/8 - 1 = 7/8 - 8/8 = -1/8

x = 8/7

y = (7/8 × 8/7) - 1 = 1 - 1 = 0

x = 2

y = (7/8 × 2) - 1 = 7/4 - 1 = 7/4 - 4/4 = 3/4

Answer:

True

Step-by-step explanation:

We know that distance = rate * time

21 miles = 7 miles per hours * 3 hours

21 miles = 21 miles

True

Answer:

73.64 ft²

Step-by-step explanation:

bad at explaining but hope this helped <3

Answer:

A. 5.3 B. 5.4

Step-by-step explanation:

A. because its a fraction

B. because it cannot be express as a ratio of two integers

Answer:

5x43

it can only be divided by 1, 5, and 43.

When 215 is written as a product of its prime factor, the result is 5 × 43.

To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:

Divide 215 by the smallest prime number, which is 5. We get:

215 ÷ 5 = 43

43 is a prime number, so we stop here.

Now, the prime factorization of 215 is:

215 = 5 × 43

Learn more about prime factor here: https://brainly.com/question/18187355

#SPJ2

1. The equation is 18 = 3 × x

2. a) The independent variable is the of ounces of lemon juice in the lemonade

b) A = a × b

c) First quadrant

The procedure to find the above answers are presented here as follows;

1. The following is the table of values of the data

[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]

The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;

y ∝ x

∴ y = k × x

Where;

k = The constant of proportionality

k = y/x

Therefore;

k = 6/2 = 9/3 = 12/4 = 15/5 = 3

k = 3

y = k × x

∴ y = 3 × x

Therefore;

The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water  is given by placing y = 18 in y = 3 × x as to get;

18 = 3 × x

∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water

2. The independent variable is the input or causing variable that determines the output variable

Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade

b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;

A = a × b

c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant

Learn more about dependent and independent variable here;

https://brainly.com/question/18456313

Answer:

Jillian spent $14.49 altogether.

Step-by-step explanation:

Let a = pounds of apples, p = pounds of peanuts, and t = total cost

t = 3.09a + 0.87p

t = 3.09(3) + 0.87(6)

t = 9.27 + 5.22

t = 14.49

Answer:

[tex]\frac{16}{81}[/tex]

Step-by-step explanation:

[tex](\frac{27}{8} )^{-\frac{4}{3} }[/tex]

[tex]=((\frac{3}{2} )^3)^{-4/3}[/tex]

[tex]=(\frac{3}{2} )^{-4}[/tex]

[tex]=(\frac{2}{3} )^{4}[/tex]

[tex]=\frac{16}{81}[/tex]

Answer:

16/81

Step-by-step explanation:

a negative exponent means 1/...

the number in the numerator means "to the power of".

the number in the denominator means take the root of that power.

so, we have to take the third root of the expression, or this then to the power of 4, and finally build 1/... if the whole result.

and the sequence is not making a difference.

the third root of of 27/8 = 3/2

this to the power of 4 = 81/16

this 1/... = 16/81

Answer:

please mark me brainlist

Step-by-step explanation:

p = proportion of residents qualified for discounts = 0.70

Sample size = 20

If X is the no of residences selected for discounts then x is binomial with (20,0.7)

P(X>=12) = 0.8867

Answer:

a).

[tex] \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree[/tex]

since sine is in the 2nd quadrant, other angle = 180° - x:

[tex]2x = 45 \degree, \: 135 \degree[/tex]

we must make two rotations since it's a double angle:

[tex]2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ [/tex]

divide each angle by 2:

[tex]x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ [/tex]

Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}

b).

[tex] \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) [/tex]

since ans is negative, we take the quadrants of cosine and tangent:

[tex]3z = 204.8\degree, \: 335.2\degree [/tex]

we make three rotations:

[tex]3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ [/tex]

answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}

Answer:

658ft

Step-by-step explanation:

you first have to calculate the angle next to that 28°angle,if you look at the two they form a 90° so to find that angle you have to subtract 90-28=62

the x is the opposite of angle 62 and the 350 si the adjacent so you can use the tan ratio to find the answer

tan62=opposite/adjacent

tan62=y/350

y=tan62×350

=658ft

I hope this helps

the product of -9/17 and it's reciprocal will be 1

Answer:

Final answer is  ---> -4

Step-by-step explanation:

Answer:

She can not achieve her average.

Step-by-step explanation:

For her homework average to be 8 or above, she needs to have at least 80 total points to be divided among 10 assignments.

If you add up all the values, 5, 0, 4, 8, 10, 9, 4, 6, 2, you would get 48.

She can not achieve her average because even with the maximum amount of points, 10, 58 is still less than 80.

Answer:

No

Step-by-step explanation:

Most of her scores are under 50 or 50

5 2 4 4 0

Answer:

A. 29.91

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(41) = 26 / x

0.869... = 26/x

26 / 0.869... = x

x = 29.91...

Well, it's hard to really help because I can't draw a graph on here, but what you can do is make a list of a couple numbers (say -3, -2, -1, 0, 1, 2, and 3), and then use them as values of x to find y. Once you have found y, use those two values as your coordinate to plot your line:

x = -3, y = -3 + 4 = 1, so the coordinate would be (-3, 1).

x = -2, y = -2 + 4 = 2, so the coordinate would be (-2, 2).

]Hope that helps! Can you do the rest?

Answer:

A. y = 3/7x

Step-by-step explanation:

Direct variation: y = kx

3 = 7k

k = 3/7

y = 3/7x

Answer:

Here is the sample space, its size is 4*3 = 12:

Answer:

According to your question :-

four marbles :-

cubes numbered as :-

_______________________

outcomes :-

At black ..

At blue ..

At yellow ..

At red ..

________________________

Size ...

4 X 3 = 12 size,,

hopes its helps you.

Answer:

y = -2

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-2) / -2 - 8

0/-10

= 0

y = 0x + b

-2 = 0(-2) + b

-2 = 0 + b

-2 = b

Answer:

Y = -2

slope = 0

Step-by-step explanation:

x1 y1  x2 y2

8 -2  -2 -2

(Y2-Y1) (-2)-(-2)=   0  ΔY 0

(X2-X1) (-2)-(8)=    -10  ΔX -10

slope= 0          

B= -2          

Y = -2    

Answer:

?

Step-by-step explanation:

My challenge for brainly plus.

Answer:

[tex]\boxed{=2x(x^2+6y^2)}[/tex]

Step-by-step explanation:

Remember:

[tex](a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\[/tex]

Answer:

5^-2 or 0.04

Step-by-step explanation:

when you times you add the powers

4 + (-6) = -2

5^-2

Answer:

first of all we don't know the exact lift they took but here's your answer:

if they took the plane then that's easy

600×5=3000

105×5=525. 3000-525=2475

while for the bus

3000-60=2940

Answer:

16 ft

Step-by-step explanation:

Slant Height=sqrt(Radius^2+Height^2)

Height=sqrt(20^2-12^2)=sqrt(256)=16 ft

Answer:

2 3/4 feet

Step-by-step explanation:

Answer:

The regular polygon that can be used to form a regular tessellation are the equilateral triangle a square and a regular hexagon

Answer:

3

Step-by-step explanation:

Add up the exponents of the variables

5xyz​ = 1+1+1 = 3

The degree is 3

Answer:

First, just to recap, a  degree of a polynomial is the highest power that it is raised to.

For example, 2x^4 + 3x - 7, is a 4th degree polynomial.

5xyz is a has a degree of 3, since the highest power that it is raised to is to the power of 1, and has 3 terms.

Let me know if this helps!