Write the complement of (90° - a)

Answer:

r = 9.61 cm

Step-by-step explanation:

Volume of a rectangular box = length × width × height

= 21.5 cm × 13.5 cm × 6 cm

= 1,741.5 cm³

Volume of a rectangular box = 1,741.5 cm³

Since,

Volume of a rectangular box = Volume of a circular box

Then,

1,741.5 cm³ = Volume of a circular box

Volume of a circular box = πr²h

1,741.5 cm³ = 3.14 * r² * 6 cm

1,741.5 = 18.84r²

r² = 1,741.5/18.84

r² = 92.436305732484

r = √92.436305732484

r = 9.6143801533163

Approximately,

r = 9.61 cm

The "is" means "equals"

So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.

Answer:

Step-by-step explanation:

Product of b and 5 = b*5 = 5b

Inequality:

5b ≥ - 23

Solution:

Divide both sides by 5

b ≥ -23/5

b ≥ -4.6

Answer:

5b≥ -23

Step-by-step explanation:

product of b and 5  - this means multiply

5b

is greater than or equal -  ≥

5b≥ -23

Solving

Divide by 5

5b/5≥ -23/5

b≥ -23/5

Answer:

[tex]x=-4+\sqrt{7}[/tex]

[tex]x= -4-\sqrt{7}[/tex]

Step-by-step explanation:

Quadratic

Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)

∴ [tex]v_{ave}[/tex] = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph

Answer:

9.998 x [tex]10^{-3}[/tex]

Step-by-step explanation:

[tex]{{hope it helps}}}[/tex]

Answer:

13.9 or 14

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 13^2 = c^2

25 + 169 = 197

square root 197 to get c

c = 13.9 (14 rounded up)

Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle

Answer:

8640

Step-by-step explanation:

According to question,

P= 6000

T=3 year 8 months = 11/3 years

R= 12% per annum

Simple interest is given by :

[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]

Now,

Amount = P+SI

Amount=6000+2640

Amount=8640 Rs

8640 Rs amount which will clear her debt

The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is

(   ((x1 + x2) /2), ((y1 + y2)/2)   )

So here the point is

(  (-2+6)/2), (-6+12)/2)  )

= (2, 3)

So it's the second option

Step-by-step explanation:

the answer is in the above image

Answer:

The word for the blank would be "square".

Step-by-step explanation:

Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.

Hope this helped!

Answer:

square

Step-by-step explanation:

the area of a cube is found by squaring the length

Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

Answer: $206

Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.

Answer:

The complex number is;

37 + 55i

Step-by-step explanation:

Here, we want to find the product of the two

We proceed as follows;

(3 + 2i)(17+ 7i)

= 3(17 + 7i) + 2i(17 + 7i)

= 51 + 21i + 34i + 14(i)^2

Recall; i = √(-1)

Thus, we have it that;

51 + 55i -14

= 51-14 + 55i

= 37 + 55i

Answer:

6 a minus 4 b + 11

Step-by-step explanation:

(8a -3b +7) - (2a + b -4)

= 8a -3b +7 -2a-b +4

= 6a -4b + 11

Answer:

"2"

(9-2-3)/2

4/2

2

Step-by-step explanation:

Answer:

The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.

Hence, the correct option is A.

To estimate the population mean we use a t-distribution to calculate the confidence interval. When we use a t-distribution the sample standard deviation is used to estimate the population standard deviation

Answer:

The lengths of the sides are 6, 8 and 10.

Step-by-step explanation:

The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)

The distance between the two points is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

So, the lengths of the sides are

[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]

Answer:  378y^3

Step-by-step explanation:

the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height

if we plug the numbers from the picture in, the formula would look like this:

V = 9y * 7y * 6y

to solve you just multiply them together

V = 378 y^3

Answer:

x is greater than or equal to 3

Step-by-step explanation:

x ≥ 3

x is greater than or equal to 3

so you got the plot right

Answer:

z = 1539.44230769

Step-by-step explanation:

360000 + 102 = 360102

360102 - 200000 = 160102

160102/104z = 1539.44230769

z = 1539.44230769

Answer:

2270 grams

Step-by-step explanation:

If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270

Answer:

option 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then

(x - (- 4) )² + (y - 7)² = 9² , that is

(x + 4)² + (y - 7)² = 81

Answer:

11

Step-by-step explanation:

15-12=3

so

x-8=3

x=11

Answer:

22.5 in.

Step-by-step explanation:

Both triangles have 110º so that means they are equal.

12x15=180 inches

So, X=22.5 inches