A farmer uses 3/5 of his land to grow cassava, 1/3 of the remainder for yam and the rest for maize. Find the part of the land used for maize

Answer:

<B = 32°

c = 9.43

Step-by-step explanation:

To find the measure of <B, add up the measures of the two angles that you know and subtract from 180°.

58° + 90° = 148°

180° - 148° = 32°

The measure of <B is 32°.

To find the length of side c, use the Pythagorean Theorem.

a² + b² = c²

5² + 8² = c²

25 + 64 = c²

89 = c²

c = √89

c = 9.433981132 ⇒ 9.43 (rounded to two decimal places)

The length of side c = 9.43.

Hope that helps.

Answer:

w²-30w+210=0

Step-by-step explanation:

2w + 2l = 60 , w + l = 30, l = 30 - w

wl = 210

w(30-w) -210 = 0

30w - w²-210 = 0

w²-30w+210=0

Answer:

C. snowball sampling

Step-by-step explanation:

Snowball sampling also known as referral sampling or chain sampling is a sampling method in research where the participants in the research are recruited to find new participants. This is a non-probability sampling method because participants choose other participants through their own insight.  Just as a ball takes up more snow as it rolls by, so also this research method takes up more participants as it progresses.

So, when the field researcher who wanted to learn about a political organization's recruiting pattern begins by interviewing a participant who in turn suggests another participant, he has applied the snowball sampling method.

Answer:

140/221.

Step-by-step explanation:

For the triangle containing  angle α:

The adjacent side is -√(13^2-5^2) = -12.

For the triangle containing angle β:

Hypotenuse = √(-8)^2 + (15)^2) =  17.

cos(α - β) = cos α  cos β   + sin α   sin β

= ((-12/13) * (-15/17) + (-5/13)* (8/17)

= 180/221 + - 40/221

= 140/221.

Answer:

108

Step-by-step explanation:

it's a quadrilateral

interior angles add up to 360

x + 2x - 75 + x + x - 35 = 360

5x - 110 = 360

5x = 360 + 110

x = 470 ÷ 5

x = 95

and x - 35 = 60

2x - 75

= 190 -75

= 115

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x + x - 35 + 2x - 75 = 360, that is

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94 , then

x - 35 = 94 - 35 = 59

2x - 75 = 2(94) - 75 = 188 - 75 = 113

Thus

The 4 angles are 59°, 94°, 94°, 113°

Answer:

$600

Step-by-step explanation:

1800/300 = 6

6 x 100 = $600

Answer:

$600

Step-by-step explanation:

1800/300 = 6

6 x 100 = $600

Answer:

No

Step-by-step explanation:

I believe at the point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.

Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)

The given function is not continuous. The correct option is D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.

The point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.

It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.

Because there is a sudden change in the function it will be termed a discontinuous function.

Hence, the function is not continuous, and the correct option is D.

To know more about continuous function follow

https://brainly.com/question/18102431

#SPJ5

Answer:

5inch

Step-by-step explanation:

15_10=5

because full length is 15 cm given on another side and length of some part of another side is. given.so we have to subtract it

Answer:

5 inches

Step-by-step explanation:

You can notice that the 15 in side is parallel to the 10 in side and the missing side

let x be the missing side

so x is 5 inches

Answer:

tan A has the ratio a/c

Step-by-step explanation:

Pleased to help u...

Answer:

x=7

2x+45=59

3x+55=76

Step-by-step explanation:

Answer:

7°, 59°, 76°

Step-by-step explanation:

The equation for the sum of the angles:

Solving for x:

The angles:

Answer:

The correct option is;

As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞

Step-by-step explanation:

The values given are;

x,      f(x)

-4,     18

-3,     9

-2,     6

-1,      3

0,      0

1,      -3

2,     -6

3,     -9

4,     -18

Based on the table, as the magnitude of x increases in the positive direction,  the magnitude of f(x) increases in the negative direction

Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞.

Answer: 2.73 cm

Step-by-step explanation:

Given that :

Side (a) of cube = 4.4cm

Volume of a cube (V) = a^3

V = 4.4^3

V = 85.184cm^3

Therefore, volume of the sphere made = 85.184cm^3

Volume of sphere = 4/3 πr^3

Where r = radius

85.184 = (4/3)*(22/7)*r^3

85.184 = (88/21)*r^3

85.184 = 4.1905 * r^3

r^3 = 85.184 / 4.1905

r^3 = 20.327884

Take the cube root of both sides

r = 2.73 cm

Answer:

SAS Postulate (third option)

Step-by-step explanation:

A trick that I use is that s stands for side and a for angle

the picture shows that two sides are the same which means the SS

and one angle is the same, hence the one A

Hope this helps!

Answer:

The answer is 1/5 + z = 3/5

Step-by-step explanation:

Answer:

1/5+z=3/5

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

To solve for x, we will follow the steps below:

First note that exterior angle =two  opposite interior angle

From the diagram below

(25x) ° + (57 + x)°   = (45x)°

25x° + 57° + x° = 45x°

next step is to collect the like term

45x° - 25 x°  - x°  =  57°

19x° = 57°

Divide both-side of the equation by 19

19x°/ 19 = 57° /19

On the left-hand side of the equation 19 will cancel out 19 leaving us with just x°  while on the right-hand side of the equation 57 will be divided by 19

x  =   3

Answer:

3.88 feet

Step-by-step explanation:

let the length the ladder reaches be x

[tex] \tan(57) = \frac{x}{8} [/tex]

[tex]x = 8 \tan(57) [/tex]

x = 3.8775938143

Answer: 46 eggs

Step-by-step explanation:

There are 12 eggs in a dozen.  Thus, there are 3 5/6*12, or 46 eggs.

Hope it helps <3

Answer:

1/6

Step-by-step explanation:

I think this is tricky.

when you randomly choose the 1st two times, it doesn't matter as long as Na was not chosen, otherwise the probability would become ZERO for the 3rd one be Na.

So, after 1st two is removed, there are only 4 left in the pool, so picking Na at the 3rd draw is 1/4 probability.

But, come to think of it, when 1st draw, you have to draw the other 5 out of 6, 2nd draw the 4 out of 5, then 3rd is 1 Na out of the 4.

So, 5/6 x 4/5 x 1/4 = 1/6

Hey there! I'm happy to help!

When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D

0.3n=45

To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.

0.3n÷0.3=45÷0.3

n=150

Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!

Have a wonderful day! :D

Hi there! :)

Answer:

a = 12 units.

Step-by-step explanation:

Using the Pythagorean Theorem (c² = a² + b²), where

c = length of the Hypotenuse

a = length of the shorter leg

b = length of the longer leg

We can calculate the length of "a" by substituting in the values into the equation:

c = 15

a = "x"

b = 9

----------------

15² = x² + 9²

Simplify the squares:

225 = x² + 81

225 - 81 = x²

144 = x²

Take the square root of both sides:

√144 = x

x = 12 units.

Therefore, the length of a = 12 units.

Answer:

a= 12

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

b= 9

c= 15

a= x = what we are looking for

For this problem, we need to set c² equal to x² and b², which would look like:

15²= x²+9²

225= x²+81

Subtract 81 from both sides

144=x²

Square root both sides

x=12

a= 12

[tex]\dfrac{2ax+3}{ax+3}=-1[/tex]

Rewrite -1 as a fraction

[tex]\dfrac{2ax+3}{ax+3}=\dfrac{-1}{1}[/tex]

Cross multiply

[tex]2ax+3=-1(ax+3)[/tex]

Distribute the -1

[tex]2ax+3=-ax-3[/tex]

Add both sides by ax

[tex]3ax+3=-3[/tex]

Subtract both sides by 3

[tex]3ax=-6[/tex]

Divide both sides by 3a

[tex]x=-\dfrac{6}{3a}[/tex]

Simplify

[tex]=-\dfrac{2}{a}[/tex]

That's the value of x respect to a. Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

[tex]\frac{2ax+3}{ax+3} =-1\\2ax+3=-ax-3\\2ax+ax=-3-3\\3ax=-6\\x=-\frac{2}{a}[/tex]

Answer:

5/14

Step-by-step explanation:

I assume after testing the 1st car, it is not placed back into the pool.

So, 1st test orange is 5/8

2nd test orange is 4/7.

Both had to be true, so 5/8 x 4/7 = 5/14

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

1. Relations are the set of y (output) and x (input) values that are related. A function is when each input has a relation with one output.

2. The mathematical formula is the formula of Pythagoras theorem. Where the length c (hypotenuse) is equal to the square root of the sum of the legs squared.

Answer:

[tex]\large \boxed{\sf \ \ \ -1, \ -5, \ -\dfrac{1}{4} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

Let's determine the possible rational zeros of this polynomial function using the rational zeros theorem:

[tex]P(x) = 4x^4 + 13x^3-49x^2-73x-15[/tex]

First of all, what is the rational zeroes theorem?

If P(x) is a polynomial with integer coefficients

and if (p and q being integer)

[tex]\dfrac{p}{q}[/tex]

is a zero of P(x), meaning

[tex]P(\dfrac{p}{q})=0[/tex]

then p is a factor of the constant term of P(x) and

q is a factor of the leading coefficient of P(x).

How to apply it here?

The constant term of P(x) is -15

The leading coefficient of P(x) is 4

so p is a factor of -15

q is a factor of 4

15 = 1 * 5 * 3

4 = 2 * 2 * 1

q can be 1, 2, 4

-p can be 1, 3, 5, 15

so it gives the following potential solutions

-1, -3, -5, -15

[tex]\dfrac{-1}{2}, \dfrac{-3}{2}, \dfrac{-5}{2}, \dfrac{-15}{2}[/tex]

[tex]\dfrac{-1}{4}, \dfrac{-3}{4}, \dfrac{-5}{4}, \dfrac{-15}{4}[/tex]

Let's compute P(x) for x in this list of potential solutions

x P(x)

-1 0

-3 -264

-5 0

-15 148680

-0.5 7.875

-1.5 -39.375

-2.5 -185.625

-7.5 4948.125

-0.25 0

-0.75 7.96875

-1.25 -15.9375

-3.75 -324.84375

It gives -1, -5 and -0.25

Conclusion

The possible rational zeroes of P(x) are

-1

-5

[tex]\dfrac{-1}{4}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

yeah....same!

Step-by-step explanation:

I'm having the same problem I thought it was just me

Answer:

Lucy needs to invest $55,194.16

Step-by-step explanation:

The given information are;

The interest rate of the account = 7% compounded daily

The amount at the end of 6 years = $84,000

The time duration = 6 years

The amount Lucy

The formula for compound interest is

[tex]A(t) = P \times \left ( 1 + \dfrac{r}{n} \right )^{n \times t}[/tex]

Where;

r = The interest rate = 7% = 0.07

n = The number of times a year = 365

t = The number years = 6 years

A(t) =  The amount after 6 years = $84,000

P = The initial amount invested

Therefore, we have;

[tex]\$ 84,000 = P \times \left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}[/tex]

[tex]P = \dfrac{\$84,000}{\left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}} =\dfrac{\$84,000}{1.522} = \$55,194.16[/tex]

Therefore, Lucy needs to invest $55,194.16.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]

Required

Why is the function not continuous at x = 3

First substitute 3 for x at the denominator

[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]

Factorize the numerator and the denominator

[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]

[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]

[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]

Divide the numerator and denominator by (x - 3)

[tex]f(x) = \frac{x+2}{x+3}[/tex]

Substitute 3 for x

[tex]f(3) = \frac{3+2}{3+3}[/tex]

[tex]f(3) = \frac{5}{6}[/tex]

Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;

Then the function is continuous

Answer:

A: f is not defined at x = -3

Step-by-step explanation: EDGE 2020

Answer:

b^8

Step-by-step explanation:

When multiplying exponents with the same base, we can add the exponents

b^2 * b^6

b^ (2+6)

b^8

Answer:b8 x

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b6"   was replaced by   "b^6".  1 more similar replacement(s).

STEP

1

:

Multiplying exponential expressions

1.1    b2 multiplied by b6 = b(2 + 6) = b8

Final result :

 b8x