If a and b are real numbers such that a > 0 and b < 0, then which of the following is equivalent
to
Jal - b?

Answer:

i, 1.875 ft

ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.

Step-by-step explanation:

i. How deep will the water be if the box is resting on its largest face?

Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.

V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³

This is also the volume of the water when it is resting on its largest face.

Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face

So, h' = V/A'

= 75 ft³/ (8 ft × 5 ft)

= 15/8 ft

= 1.875 ft

ii, Explain your reasoning.

Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.

Answer:

[tex]A=107 square\ unit[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]\angle MNP= 48m[/tex]

 [tex]\angle MN=16 unit[/tex]

Generally the equation for Area of a sector A is mathematically given by

 [tex]A=\frac{\theta}{360}*\pi*r^2[/tex]

 [tex]A=\frac{48}{360}*3.14*16^2[/tex]

 [tex]A=107.18 square\ unit[/tex]

 [tex]A=107 square\ unit[/tex]

Answer:

10.4

Step-by-step explanation:

Area of sector=central angle/360(area)

=46/360(π5^2)

=10.04

Step-by-step explanation:

TPC and DPC are supplementary angles so

DPC=180-123=57°

Answer:

m arc BDT = 270°

Step-by-step explanation:

m arc BDT = 360° -90° = 270°

________________

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

Feel free to mark this as brainliest :D

Answer:

6

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

?^2 + 8^2 = 10^2

?^2 +64 = 100

?^2 = 100-64

?^2 = 36

Take the square root of each side

? = sqrt(36)

?= 6

Answer:

I think it is the $4.20 because if you do the math technically the 4.20 is less for more

Step-by-step explanation:

Answer:

d) Acute

Step-by-step explanation:

if all three angle measures are less than 90 degrees, the triangle is acute

Answer:

B. x = 2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

check by substituting each given value of x into the function

x = 0 ⇒ y =  × 0² = 0

hence (0, 0) is correct

x = 2 ⇒ y =  × 4 = 3

hence (2, 4 ) is incorrect

x = 3 ⇒ y =  × 9 = 6  

hence (3, 6 ) is correct

x = 5 ⇒ y =  × 25 = 18  

hence (5, 18 ) is correct

Answer:

27.5cm^2

Step-by-step explanation:

you can cut the triangle to make two right triangles

so 11 is the height and the width is 2.5 since your cutting the triangle in half

so 11x2.5=27.5 since its a right triangle you have to divide by two 27.5/2=13.75

that's the answer for one of the triangles now multiply it by two since you need the two right triangle to make the other triangle so the answer is 27.5

Answer:

B. -11

Step-by-step explanation:

ascending order means least to greatest.

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...

3, -1, [tex]\sqrt{5}[/tex], 13, -11

-11 is the least number because it is the greatest negative number

Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

Answer:

33464.25

Step-by-step explanation:

Using BODMAS : brackets, division, multiplication, addition

[tex]177\times ((177+(9-4+7)) +\frac{90}{8}\\\\177\times (177+12) +\frac{90}{8}\\\\177\times 189 +\frac{90}{8}\\\\\\177 \times 189 + 11.25\\\\33453 + 11.25\\\\33464.25[/tex]

Answer:

35444.25

Step-by-step explanation:

OFC by computing them

Answer:

Look below.

Step-by-step explanation:

1. 3000

2. 5000

3. 6000

4. 7000

Starting from left to right.

Answer:

Step-by-step explanation:

use the idea of similar triangles.

6/3 = 3/x

2x = 3

x = 3/2

Answer:

Step-by-step explanation:

convert 1 day into hours

1 day=24 hour

2/24

=1/12

1 day = 24 hours

So,

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Answer:

It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.

Step-by-step explanation:

hope this helps and is right. p.s i really need brainliest :)

Selling price = 8600 + Profit

Selling price = 8600 + ( 8600 × 20/100 )

Selling price = 8600 + ( 86 × 20 )

Selling price = 8600 + 1720

Selling price = Rs 10,320

Answer:

[tex]31\:\text{square units}[/tex]

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]

Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]

Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]

Thus, the area of the entire figure is:

[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]

Answer:

45

Step-by-step explanation:

6a 6b

2 : 3

30 : x

30×3

2

=45

Answer:

true.

Step-by-step explanation:

hope this helps, i looked it up :)

Answer:

I say A or B but in favor A

Step-by-step explanation:

Answer:

Around 140

Step-by-step explanation:

It's over 90 degree angle

Answer:

a

Step-by-step explanation:

b

The equation can be solved to find the height of the lamppost 'h' is

D. tan52° = h/18

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information we have a reference angle of 52° opposite to it is the height(h) of the pole and a shadow which is the adjacent side is 18 feet.

We know, tan = opposite/adjacent.

Therefore, tan52° = h.18.

learn more about trig ratios here :

https://brainly.com/question/14977354

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Answer:

C. 600 m²

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.

The area of a parallelogram is the product of its base and its height. It is given by the formula:

Area = base * height

We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:

Area = base * height = 40 m * 15 m = 600 m²

Another accepted answer is -5-i, but if your teacher wants only one answer, then I'd go for 5+i

======================================================

Work Shown:

[tex]\sqrt{24+10i} = a+bi\\\\\left(\sqrt{24+10i}\right)^2 = (a+bi)^2\\\\24+10i = a^2+2abi+b^2i^2\\\\24+10i = a^2+2abi+b^2(-1)\\\\24+10i = a^2+2abi-b^2\\\\24+10i = (a^2-b^2)+(2ab)i\\\\[/tex]

Equating terms, we have this system

[tex]\begin{cases}24 = a^2-b^2\ \text{.... real terms}\\10 = 2ab\ \text{.... imaginary terms}\end{cases}[/tex]

Solve the second equation for b to get b = 5/a

Plug that into the first equation to solve for 'a'

[tex]24 = a^2-b^2\\\\24 = a^2-\left(\frac{5}{a}\right)^2\\\\24 = a^2-\frac{25}{a^2}\\\\24a^2 = a^4-25\\\\0 = a^4-24a^2-25\\\\a^4-24a^2-25 = 0\\\\(a^2-25)(a^2+1) = 0\\\\(a-5)(a+5)(a^2+1) = 0\\\\[/tex]

Setting each factor equal to zero would lead to...

We're told that 'a' is a real number, so we ignore the solutions "a = i and a = -i". The only possible solutions are a = 5 and a = -5

If a = 5, then,

b = 5/a = 5/5 = 1

So

[tex]\sqrt{24+10i} = a+bi = 5+1i = 5+i[/tex]

or in short,

[tex]\sqrt{24+10i} = 5+i[/tex]

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

If a = -5, then b = 5/a = 5/(-5) = -1

So it's very possible that we could also say

[tex]\sqrt{24+10i} = -5-i\\\\[/tex]

If you wanted to combine the two we would use the plus/minus notation like so

[tex]\sqrt{24+10i} = \pm(5+i)\\\\[/tex]

This is due to (5+i)^2 and (-5-i)^2 both having the same result of 24+10i. Hence the plus/minus. If your teacher wants one answer only, then I'd go for 5+i, as we could consider it a "principal" square root in a sense.

Answer:

F'

Your answer is correct

Step-by-step explanation:

The image most of the time we will put ' prime on it to let the other know that this is the image

Answer:

, hope u understand and happy

Answer:

Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more

Step-by-step explanation: