How do function models help us to understand the world?

Answer:

  (c)  -0.9682

Step-by-step explanation:

In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...

  sin²(A) +cos²(A) = 1

  cos²(A) = 1 -sin²(A)

  cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682

_____

The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.

Answer:

a

Step-by-step explanation:

the solution to the system is at the point of intersection of the linear equations.

the lines intersect at (- 4, 3 )

then solution is (- 4, 3 )

Answer:

Step-by-step explanation:

Answer:

1.6 × [tex]10^{10}[/tex]

Step-by-step explanation:

( 4 × [tex]10^{5}[/tex] )( 4 × [tex]10^{4}[/tex] ) = ( 4 · 4 ) × ( [tex]10^{5}[/tex] · [tex]10^{4}[/tex] ) = 16 × [tex]10^{4+5}[/tex] = ( 1.6 × [tex]10^{1}[/tex] ) × [tex]10^{9}[/tex] = 1.6 × [tex]10^{10}[/tex]

Answer:

5.575

Step-by-step explanation:

divide it by 2 its easy

[tex]\mathsf\blue{♧ANSWER♧}[/tex]

Area = length × width

[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]

[tex] \mathsf \blue{10.125 \: square \: units}[/tex]

Answer:

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Based on the definition of the diagonals of a rhombus, m∠AED = 90°.

A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.

Angle 90 is formed at the intersection of the two diagonals of a rhombus.

In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.

Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.

Learn more about diagonals of a rhombus on:

https://brainly.com/question/20627264

Answer:

(x-5;y+6)

Step-by-step explanation:

1) the difference between the coordinates before translation and after the translation is*: Δx=-5; Δy=+6, then

2) the rule of the translation is: (x-5;y+6).

* for example, the red dot. The difference for X is: -2-3=-5. The difference for Y is: 2--4=+6.

Answer:

70p

Step-by-step explanation:

Amy-

£2.00 - £0.15 = £1.85

so Amy payed £1.85

Tina-

£5.00 - £2.45 = £2.55

so Tina payed £2.55

£2.55 - £1.85 = £0.70

which means tina payed 70p more

Answer:

The answer would be 20.97273616 or (rounded to the nearest cent) would be $20.97

Step-by-step explanation:

The reason for this is that the formula for compounded interest is [tex]A=P(1+\frac{r}{n})^\frac{t}{n}[/tex] where A is the total amount, P is the initial amount, r is the growth factor or the percent, n is the number of compounding periods, and t is the time. You would substitute P for 16, r for 0.14 (14%), n for 2 as it compounded semiannually so it for every 6 months instead of 1 year (annual) so is compounded 2 times per year, and t for 2. And just solve the equation and you get that A is equal to 20.97273616 but since we are talking about money( only round if asked) then it would be 20.97.

Hope this helps!!!!  

Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640

Answer:

yes I can help you with this but I don't know it

Answer:

5/12

is the correct answer

see my question and come there now females

Step-by-step explanation:

Goal: illustrates radius, diameter, chord, center, arc, central angle, and

inscribed angle.

Role: Garden Designer/Landscape Architect

Audience: Math Teacher

Situation: A certified plantita and backyard owner plans to have a unique

garden. As a Landscape Architect, you are asked to make a sample layout of

a circular garden. She asks you to include the following on her garden:

● well

● pond

● bridge

● fountain

● walkways

● benches or chairs

● entrance and exit gates.

● trees, ornamental plants, and herbs

Procedure:

1. Draw a circle.

2. Conceptualize a circular garden and layout using the specified

items mentioned above.

What I Can Do

9

DISCIPLINE • GOOD TASTE • EXCELLENCE

3. Label the parts of circle formed on the garden layout

Please I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

this a a joke...

haha goodbye

Answer:6 inches

Step-by-step explanation:

The place values in 5.6 and 1.78 are the positions of the digits in the numbers

In a number, the non-zero digit at the left-most position is the greatest place value

This means that:

The greatest place value in 5.6 is 5 (i.e. ones place)

The greatest place value in 1.78 is 1 (i.e. ones place)

So, we can conclude that the largest place value common in 5.6 and 1.78 is the ones place

Hence, Nichole is correct

Read more about place values at:

https://brainly.com/question/12386995

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

Answer:

116 degrees

Step-by-step explanation:

the shape is 360 degrees in total

64+64 = 128

360-128 = 232

232/2 = 116

Answer:

see attached graph

Step-by-step explanation:

Given equation:  [tex]y=x^2-4x+3[/tex]

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

where [tex]c[/tex] is the y-intercept

If [tex]a > 0[/tex] then the parabola opens upwards.

If [tex]a < 0[/tex] then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

       [tex]y=x^2-4x+3[/tex]

[tex]\implies y=x^2-x-3x+3[/tex]

[tex]\implies y=x(x-1)-3(x-1)[/tex]

[tex]\implies y=(x-3)(x-1)[/tex]

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

[tex]\implies \dfrac{dy}{dx}=2x-4[/tex]

Set to zero and solve for x:

[tex]2x-4=0 \implies x=2[/tex]

Substitute [tex]x=2[/tex] into the original equation and solve for y:

[tex]\implies y=(2)^2-4(2)+3=-1[/tex]

Therefore, the vertex (or turning point) is at (2, -1)

Answer:

41 ≤ x

x ≤ 45

Step-by-step explanation:

Answer:

-200 =p

Step-by-step explanation:

-40 = -5p

5         5

_______

-200 = p

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we're given that Angela formerly had 8 computer games.

★ She got 3 more video games on her birthday.

★ Then she gave away 4 video games.

_____________________________

_____________________________

[tex]\huge\red{ Solution -}[/tex]

[tex]8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7[/tex]

hope helpful :D

Step-by-step explanation:

e.g. 452 and 397

but also e.g. 448 and 429

Answer:

Step-by-step explanation:

The area of the rhombus is half the product of its diagonals

[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]

[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]

[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]

Answer:

9

Step-by-step explanation:

y= mx+b

m is slope

b is y-int

Answer:

(2,11 2/3)  or (2,(35/3))

Step-by-step explanation:

5x-3y=-25

For x = 2:  

5(2)-3y=-25

10-3y=-25

-3y=-35

y = (35/3) or 11 2/3

(2,11 2/3)

Answer:

X = -2

Y= 5

You use:

5x-3(5)=-25

and

5(-2)-3y=-25