Madison will use a 1/5 gallon pitcher to fill an empty 7/8 gallon jug for her lemonade stand. How much lemonade will she need to fill the jug?

1.Between 2 and 3
2.Between 3 and 4
3.Between 4 and 5
4.Between 5 and 6

9514 1404 393

Answer:

  77/85

Step-by-step explanation:

Given:

  cos(A) = 4/5

  sin(B) = 15/17

Find:

  cos(A-B)

Solution:

From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...

  sin(A) = 3/5

  cos(B) = 8/17

__

Alternatively, you can use the Pythagorean identity to find ...

  sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5

  cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17

__

Then application of the angle difference formula is straightforward.

  cos(A -B) = cos(A)cos(B) +sin(A)sin(B)

  cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85

  cos(A -B) = 77/85

_____

Some graphing calculators can express the result ...

  cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294

  ... as the fraction 77/85

Answer:

Graph B

Step-by-step explanation:

Let take a look of original graph, cos(x)

The amplitude of that graph is 1.

The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.

We need to find the x intercept.

[tex] \cos(0 ) = 1[/tex]

so

[tex]2 \cos(3(0)) = 2[/tex]

The graph should intersecting at point

0,2 so the answer is

Graph B

Answer:

B on edge

Step-by-step explanation:

Answer:

4 1/10

Step-by-step explanation:

4.1

= 4 + 1/10

= 4 1/10

Hope you understand!

Answer:

The answer to this question is 13

Answer:

y=-3x+4

Step-by-step explanation:

Using the formula y=mx+b

mx= slope b= y-intercept

hence,

y=-3x+4 has a y-intercept of (0,4)

Answer:

A y=3x +4

Step-by-step explanation:

since when x=0 then y will be at +4

Y=3(0)+

Answer:

10

Step-by-step explanation:

Hope this helps

Answer:

10

Step-by-step explanation:

-5(-2)

negative times negative in multipling and divding the answer is always a positive

mˆDG=151∘∘

An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string

The measure of angle ∠DHG of the circle is = 151°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of angle ∠DG of the circle be A

Now , the value of A is

Let the measure of m∠DHG = ( 11x - 36 )°

The measure of m∠GHF = ( x + 12 )°

And , the angles m∠DHG = m∠EHF ( vertically opposite angles )

And , the angles m∠GHF = ∠DHE ( vertically opposite angles )

So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360°  ( total angle of a circle = 360° )

On simplifying , we get

2 ( 12x - 24 ) = 360

Divide by 2 on both sides , we get

12x - 24 = 180

Adding 24 on both sides , we get

12x = 204

Divide by 12 on both sides , we get

x = 17

Now , the measure of m∠DHG = ( 11x - 36 ) = 151°

Hence , the measure of m∠DHG  of circle is 151°

To learn more about central angle click :

https://brainly.com/question/11877137

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Answer:

Answer:

add all the numbers and divide by 4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67

F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5

[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]

Long Answer:

Yes, a rhombus is a quadrilateral with 4 equal sides. Every square has 4 equal length sides, so every square is a rhombus.

Short Answer:

Yes

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Answer:

400mm

Step-by-step explanation:

20x20=400

Answer:

Step-by-step explanation:

Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.

Answer:

$542.50

Step-by-step explanation:

Answer:

|-9| = 9

That is the absolute value for the loss of yards

Answer(In bold)/Step-by-step explanation:

Compute the probability that a randomly selected peanut M&M is not blue

P (blue) = 23%

P (blue)C = 1 - P(blue) = 100% - 23% = 77%

Compute the probability that a randomly selected peanut M&M is green or red.

P (green) = 15%

P (red) = 12%

P (green or red) = P(green) + P(red) = 27%

Compute the probability that three randomly selected peanut M&M’s are all yellow.

P (yellow) = 15%

(P(yellow))3 = 0.338%

There was replacement in the selection process.  

If you randomly select six peanut M&M’s, compute that probability that none of them are brown.

P(brown) = 12%

P(brown)C = 1 - P(brown) = 100% - 12% = 88%

(P(brown)C)6 = 46.440%

Answer:

Point W

Step-by-step explanation:

9514 1404 393

Answer:

  -5

Step-by-step explanation:

The given linear equation simplifies to ...

  g(x) = 2x -x

  g(x) = x

For x = -5, this is ...

  g(-5) = -5

Answer:

Following are the solution to these question:

Step-by-step explanation:

Following are the binomial distribution with parameters:

[tex]n = 12\\\\p = 0.24[/tex]

For point a:

[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]

For point b:

[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]

For point c:

[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]

Answer:

3 and 21/22

Step-by-step explanation:

You convert the fractions so they have the same number as the denominator and then subtract them.

9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by ...

  C = πd

For the given diameter, the circumference is ...

  C = π(20 m) = 20π m

The penguin swam half that distance, so swam ...

  (1/2)(20π m) = 10π m

The penguin swam 10π meters.

Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

5.25

Step-by-step explanation:

Answer: 30°

Step-by-step explanation:

we have to find the angle adjacent with the right angle. For this we use the (-).

At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.

Answer:

[tex]17m^6 + 2mn[/tex]

Step-by-step explanation:

[tex]16m^6 -15mn +m^6 + 17mn[/tex]

Combine like terms, rewrite the equation and perform the operations between the coefficients,

[tex]16m^6 +m^6 -15mn+17mn[/tex]

[tex]17m^6 + 2mn[/tex]

Answer:

2,-1.5

Step-by-step explanation:

To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.

[tex]\frac{2+2}{2} ,\frac{4+(-7)}{2}[/tex]

=[tex]\frac{4}{2} , \frac{-3}{2}[/tex][tex]\frac{4}{2} , \frac{-3}{2}[/tex]

=2,-1.5

Here's the answer for you

Answer:

$80.66 and $48

Step-by-step explanation:

1.

Find the total cost of your outfit. 49+25=$74

Find 9% of 74 by doing 0.09x74, which is 6.66. This means that the sales tax is $6.66. 74+6.66=$80.66.

2.

Find 25% of 64 by doing 0.25x64=16. 64-16=$48.