If the two angles are complementary, find the measure of each of angle.

Answer:

0.7 , 0.251 , 0.18 , 0.171

Step-by-step explanation:

0.7 is highest 0.251 is 2nd highest 0.18 is lower and 0.171 is lowest as it is simplified to 0.17 to which is lower than 0.18. I am only 8 years old and you should thank me so yeah.

Answer:

1.5

Step-by-step explanation:

.25*0+1*.25+2*.25+3*.25=1.5

9514 1404 393

Answer:

  4. 8 yds

  5. 30 mi

Step-by-step explanation:

The relation according to the Pythagorean theorem is ...

  c² = a² + b²

This can be solved for 'a' or 'b' to get ...

  a = √(c² -b²)

  b = √(c² -a²)

__

4. b = √(17² -15²) = √(289 -225) = √64 = 8

The length of leg b is 8 yards.

__

5. a = √(50² -40²) = √(2500 -1500) = √900 = 30

The length of leg 'a' is 30 mi.

_____

Additional comment

You may recognize the relevant Pythagorean triples as (3, 4, 5) and (8, 15, 17). A few others that are often seen are (5, 12, 13), (7, 24, 25) and (9, 40, 41). Any of these can be multiplied by some factor, as the (3, 4, 5) triple is in problem 5.

Step-by-step explanation:

2 to the 5th power =2⁵=2×2×2×2×2=32

The value of 2 to the 5th power (2⁵) is equal to 32.

To calculate 2 to the power of 5 (2⁵).

We have to multiply the base number (2) by itself for the number of times specified by the exponent (5).

So, 2⁵ can be calculated as:

2 × 2 × 2 × 2 × 2

= 32

Therefore, 2 to the 5th power (2⁵) is equal to 32.

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Answer:

4 times

Step-by-step explanation:

First you take the number of times and divide them by the number of times he  attempted it. (2)/(8+2) or 1/5. Then you set up an inequality which would look like this. x/20=1/5 then you will cross multiply them to get this equation 5x=20. then you solve for x and you would get x=4. So you can expect him to hit four bullseyes in the next 20 attempts.

Answer:

P[You select a green poker chip] = 1/7

P[You select a white poker chip] = 1/7

Step-by-step explanation:

Given:

Number of chips beg contain = 7 chips

Number of red chips = 4 chips

Number of blue chips = 1 chips

Number of green chips = 1 chips

Number of white chips = 1 chips

Find:

Event A: You select a green poker chip  

Event B: You select a white poker chip

Computation:

P[You select a green poker chip] = Number of green chips / Number of chips beg contain

P[You select a green poker chip] = 1/7

P[You select a white poker chip] = Number of white chips / Number of chips beg contain

P[You select a white poker chip] = 1/7

Answer:

[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]

Step-by-step explanation:

[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]

The x-coordinate will be cosθ and the y-coordinate will be sinθ.

Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.

The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".

Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.

For the point P, the coordinates will be,

x-coordinate: cosθ

y-coordinate: sinθ

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Answer:

x = 7 , − 14

Step-by-step explanation:

I believe this is correct.

Answer:

Step-by-step explanation:

Given,

Size of the lawn he mow's in 1/6 hour = 2/3

Therefore,

Size of the lawn which can be mowed in 1 hour

[tex] = \frac{2}{3} \times 6[/tex]

= 2 × 2

= 4 (Ans)

Answer:

97.68 %

z(lower) = .0227

z(upper) = .999

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Given

[tex]m = (4,-2)[/tex]

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

[tex]m' = (4+2,-2) = (6,-2)[/tex]

[tex]m" = (4,-2+2) = (4,0)[/tex]

[tex]m'''= (4-2,-2) = (2,-2)[/tex]

[tex]m'''' = (4,-2-2) = (4,-4)[/tex]

From the graph, we have:

[tex]A = (4,2)[/tex]

[tex]B = (-4,2)[/tex]

[tex]C = (2,-3)[/tex]

None of the points is 2 units from m

Point m is located at (4,-2), then point C is located approximately 2 units from point m.

A point in a graph is its location denoted using x and y axis.

Given the following information:

Coordinates of point m=(4,-2)

Coordinates of point A=(4,2)

Coordinates of point B=(-4,2)

Coordinates of point C=(2,-3)

Formula used to find distance between two points say (x1,y1) and (x2,y2) is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

D1 distance between m and A is

[tex]D_1=\sqrt{(4-4)^2+(2+2)^2}\\D_1=4[/tex]

D2 distance between m and B is

[tex]D_2=\sqrt{(-4-4)^2+(2+2)^2}\\D_2=4\sqrt5[/tex]

D3 distance between m and C is

[tex]D_3=\sqrt{(2-4)^2+(-3+2)^2}\\D_3=\sqrt5\\D_3=2.2\\[/tex]

D3 is approximately equivalent to 2 not exactly 2.

Thus, point C is approximately at 2 units from m.

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9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

Answer:

Step-by-step explanation:

#1

#2

#1

Equation in point slope form

That's also slope intercept form

#2

Slope

Equation in point slope

It Is My Work From My Laptop

Answer:

12/13

Step-by-step explanation:

The cosine of O

= QO / PO

= 12 / 13

Answer:

A: $100 + $70h = Cost

B: $590

Step-by-step explanation:

A: you can combine the use rate and the driver rate together since they both have the save variable.

B: $100 + $70 (7) = Cost

$100 + $490 = Cost

$590 = Cost

Your answer is 9.27 x 10^5

Answer:

2ap + aq - bq -2bp = (a - b)(2p + q)

Step-by-step explanation:

(2ap + aq) - (bq -2bp)

a(2p +q) -b(q + 2p)    [ taking a common from the first, and b from the second]

(2p + q) [a - b]           [takin (2p + q)]

(2p + q)(a - b)

The completely factored form of the expression 2ap + aq - bq - 2bp is

(a - b)(2p + q).

In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.

Given expression: 2ap + aq - bq - 2bp

Step 1: Look for common factors.

Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.

Step 2: Factor out the common terms.

We can factor 'a' from the first two terms: a(2p + q)

And factor '-b' from the last two terms: -b(q + 2p)

Step 3: Rearrange the expression.

Now we have: a(2p + q) - b(q + 2p)

Step 4: Factor by grouping.

We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)

Step 5: Final result.

Thus, the completely factored form of the given expression is

(a - b)(2p + q).

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Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Answer:

It’s either D or C

Step-by-step explanation:

Answer:

[tex]x = \frac{205}{3}[/tex]

[tex]y =\frac{195}{4}[/tex]

Step-by-step explanation:

Given

[tex]p = 410[/tex] --- perimeter

See attachment for fence

Required

x and y

The perimeter of the fence is:

[tex]p = 2(x + y +5 + y) +x[/tex]

Open bracket

[tex]p = 2x + 2y +10 + 2y +x[/tex]

Collect like terms

[tex]p = 2x+x + 2y + 2y+10[/tex]

[tex]p = 3x + 4y+10[/tex]

Substitute: [tex]p = 410[/tex]

[tex]3x + 4y+10 =410[/tex]

Make 4y the subject

[tex]4y =410-10-3x[/tex]

[tex]4y =400-3x[/tex]

Make y the subject

[tex]y =\frac{400-3x}{4}[/tex]

The area (A) of the fence is:

[tex]A = (y + y + 5) * x[/tex]

[tex]A = (2y + 5) * x[/tex]

Substitute: [tex]y =\frac{400-3x}{4}[/tex]

[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]

[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]

Take LCM

[tex]A = (\frac{400-3x+10}{2}) * x[/tex]

Solve like terms

[tex]A = (\frac{410-3x}{2}) * x[/tex]

Open bracket

[tex]A = \frac{410x-3x^2}{2}[/tex]

Remove fraction

[tex]A = 205x-1.5x^2[/tex]

Differentiate both sides

[tex]A' = 205 - 3x[/tex]

To maximize; set [tex]A' =0[/tex]

[tex]205 - 3x =0[/tex]

Solve for 3x

[tex]3x = 205[/tex]

Solve for x

[tex]x = \frac{205}{3}[/tex]

Recall that: [tex]y =\frac{400-3x}{4}[/tex]

So, we have:

[tex]y =\frac{400-3*205/3}{4}[/tex]

[tex]y =\frac{400-205}{4}[/tex]

[tex]y =\frac{195}{4}[/tex]

Answer: Project A should be chosen as it has the highest NPV.

Step-by-step explanation:

Project A

Present value of inflows:

First find the present value of inflows 3 years from today. Bear in mind that the inflow is constant so this is an annuity:

= 3 million * Present value interest factor of annuity, 8%, 5 years

= 3 million * 3.9927

= RM11,978,100

Discount this value to the present:

= 11,978,100 / (1 + 8%)³

= RM9,508,602

Net Present value = Present value of inflows - Investment

= 9,508,601 - 7,000,000

= RM2,508,601

Project B:

Find present value of costs:

= 2,500,000 +  (2 million * Present value interest factor of annuity, 3 years, 8%)

= 2,500,000 + (2,000,000 * 2.5771)

= 2,500,000 + 5,154,200

= RM7,654,200

Net present value = (16,000,000 / (1 + 8%)⁶) - 7,654,200

= RM2,428,514

Project A should be chosen as it has the highest NPV.

Answer:

C

Step-by-step explanation:

Hi there!

We're given a rectangle with one side marked as 16 and another marked as 12

We need to find the length of the diagonal

Rectangles have a property that makes the opposite sides congruent. Therefore, the side opposite to the side marked as 16 is also 16 and the side opposite to the side marked as 12 is also 12 because of that property.

Now let's look at the shapes cut by the diagonal; they are right triangles.

We only need to look at one of the triangles for this problem

The measures of 12 and 16 in the triangle are the legs (sides that make up the right angle) and the diagonal is the hypotenuse (the side that is opposite to the right angle).

You can absolutely solve for the diagonal/hypotenuse by doing Pythagorean theorem, but there's a shortcut:

3, 4, 5 is a common Pythagorean triple

(3²+4²=5²)

(9+16=25)

(25=25)

You may notice that dividing 12 and 16 by 4 are equal to 3 and 4 respectively

that means it's a 3, 4, 5 triangle, just by multiplied 4

So that means the hypotenuse has to be 5 * 4, which is equal to 20 inches

Therefore the answer is C

Hope this helps!

Answer:

[tex]ax \: \: \: \: \: \: \: \:xb[/tex]

Answer:

Tn=a(-3)^(n-1)

where a is first term and n is number of terms

Step-by-step explanation:

r=-3

Given:

The expression is:

[tex]p^3\cdot p^2\cdot p[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]p^3\cdot p^2\cdot p[/tex]

According to the product property of exponents,

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Using the product property of exponents, we get

[tex]p^3\cdot p^2\cdot p=p^{3+2+1}[/tex]

[tex]p^3\cdot p^2\cdot p=p^{6}[/tex]

Therefore, the value of given expression is [tex]p^6[/tex].

Answer:

d.

the plant is 7mm,then times 2 of itself by on week.

so in 4weeks, it will be .

7×2×2×2×2