What is the volume of this rectangular prism 5/2 cm 4 cm 1/2

Answer:

<FGH and <JKL are supplementary

<AED and <BEC are complementary

Step-by-step explanation:

For supplementary angles, the sum of the pair of angles must be 180degrees

Given;

<FGH = 109degrees

<JKL = 71degrees

Taking the sum

<FGH + <JKL

= 109 + 71

= 180

Since the sum of the angles is 180, hence <FGH and <JKL are supplementary

Similarly;

Given

<AED = 45degrees

<BEC = 45degrees

Taking the sum

<AED + <BEC

= 45 + 45

=90degrees

Since the sum of complementary angles is 90degrees, hence <AED and <BEC are complementary

Answer:

not good destroy body mind effect

Given:

The compound inequality is:

[tex]-1>n\geq 5[/tex]

To find:

The reason for no solution of the given inequality.

Solution:

We have,

[tex]-1>n\geq 5[/tex]

This inequality can be written as two separate inequalities.

[tex]-1>n[/tex] and [tex]n\geq 5[/tex]

The inequality [tex]-1>n[/tex] represents all real values less than -1.

The inequality [tex]n\geq 5[/tex] represents all real values greater than or equal to 5.

Both inequalities [tex]-1>n[/tex] and [tex]n\geq 5[/tex] have no common values. Therefore, the given inequality has no solution. Hence proved.

Answer:

10

Step-by-step explanation:

360=95+95+15+7x+15+7x

360-95-95-15-15=7x+7x

140=14x

140/14=x

10=x

Answer:

cos B = 8/17

Step-by-step explanation:

The cosine function is defined as (adjacent side) / (hypotenuse), and in this case is 8/17.

Answer:

see my explantion!!

Step-by-step explanation:

8000*0.05=400

400*18=7200$

Answer:

D) 146

Step-by-step explanation:

Exterior angle thm:

42 + 104 = x

x = 146

Answer:

593 m

Step-by-step explanation:

Total distance covered = perimeter of the trapezoid

= 100 + 75 + 250 + the length of the slant side (2nd swim)

Apply Pythagorean theorem to find the slant side (hypotenuse) since it forms a right triangle if we consider the distance between the parallel bases of the trapezoid.

Thus, let "x" represent the side length we are looking for.

Applying Pythagorean theorem, we have:

x² = 75² + (250 - 100)²

x² = 75² + 150²

x² = 28,125

x = √28,125

x = 167.705098 ≈ 168 m

✔️Total distance covered = 100 + 75 + 250 + 168 = 593 m

Answer:

7/27

Step-by-step explanation:

the amount of students total is 27 people because you just add all of the values in the chart together.

after that, you need to find how many student didn't do the homework, and the amount is 7 because 3 students passed the test but didn't complete their homework and 4 students failed the test and didn't complete their homework.

Answer:acute angle less than ninety so around fourth five

Step-by-step explanation:

Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

let be the real price x :

x - x × ( 25/100 ) = 1350

x - x × ( 1/4 ) = 1350

x - x/4 = 1350

4x - x / 4 = 1350

3x / 4 = 1350

3x = 1350 × 4

3x = 5400

x = 5400 ÷ 3

x = Rs 1800

Answer:

a) 3x(y-3)

b) (x-2)(X+2)

Step-by-step explanation:

See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)

Answer: The Cars Average Speed Will Be 60Mph.

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

Answer:

C

Step-by-step explanation:

Doug:  400/1042 = .3838 = 38.4%

Ben:  342/1042 = .3282 = 32.8%

Chris:  300/1042 = .2879 = 28.8%

Answer:

Doug 38.4%, Ben 32.8%, Chris 28.8%

Answer:

Step-by-step explanation:

W(-4,-10) lies on third quadrant.

M(-12,0) lies on second quadrant or can say in x axis

C(8,3) lies on first quadrant.

K(11,-5) lies on fourth quadrant.

Answer: 3/10, 0.3, 30%

Step-by-step explanation: If you count the shaded rectangles individually, you can find the numerator and denominator of the fraction. For the decimal, it would have to be 0.3 because 0.3 has "three-tenths", which is 3 in the tenths place. For the percentage, 3/10 is equal to 30/100 because 30/100 can be simplified to 3/10.

I hope you find this helpful, have a nice day.

Answer:

add 33 to both sides

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )

- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )

x = - 132

Answer:

First step is to make x the subject of the equation.

Step-by-step explanation:

[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]

Answer:

Step-by-step explanation:

Area = angle / 360 * pi * r^2

angle = 45

r = 2

pi = 3.14

Area = 45 / 360 * 3.14 * 2^2

Area = 365.2 / 360

Area = 1.57 square inches.

Answer:

a = π/2 in²   Exact answer

a = 1.5707963268  in²     Decimal approximation

Step-by-step explanation:

a = (∅/360) * πr²

a = (45/360) * π(4)

a = π/2 in²   Exact answer

a = 1.5707963268  in²     decimal approximation

Answer:

Dimensions of the tabletop is 2.8 cm × 2.8 cm.

Step-by-step explanation:

From the picture attached,

ABCD is a tabletop with leaves AEG, BEF, CFH and GDH.

Dimensions of the tabletop ABCD,

Length = AB

Width = BC

Coordinates of A → (1, 3)

Coordinates of B → (3, 5)

Coordinates of C → (5, 3)

Coordinates of D → (3, 1)

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

AB = [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     ≈ 2.8 units

BC = [tex]\sqrt{(5-3)^2+(3-5)^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]2\sqrt{2}[/tex]

     = 2.8 units

Therefore, dimensions of the tabletop is 2.8 cm × 2.8 cm.

Answer:

805

Step-by-step explanation:

Answer:

i have no clue

Step-by-step explanation:

[tex]C. \: 8 \sqrt{3} [/tex]✅

Step-by-step explanation:

[tex] \sqrt{192} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 3} \\ = \sqrt{ {8}^{2} \times 3 } \\ = 8\sqrt{3}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Answer:

12

Step-by-step explanation:

radius is half of diameter

Thє rαdíus f α círclє ís 6 cm. thє díαmєtєr σf thís círclє ís 12 cm .

➟ Rαdíus ís thє hαlf σf círclє

Answer: 15 percent of 28.50 is 4.275

So 28.50 + 4.275 = 32.775

So $32.77

Answer:

32.78 100% correct did usa test prep

Step-by-step explanation: