5. Solve

1. 2/3 × 3 =

2. 3/4 × ------- = 18/4

3. 9/12 × 4 =

4. ------- × 8 = 48/8

5. 6/3 is the -------- multiple of 1/3

4th grade math ​

Answer:

13 = x

Step-by-step explanation:

Remark

The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.

You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360

A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360

Givens

Angles

The Total is 360 degrees

Solution

3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360    Combine like terms

20x + 100 = 360                  Subtract 100 from both sides

20x = 360 - 100

20x = 260

x = 13

Check

Answer:

8

Step-by-step explanation:

x/16 = 6/12

cross multiply

12x=6*16

12x=96

divided by 12

x=8

Answer:

25/49

Step-by-step explanation:

probability of red and red is (3/7)(3/7) = 9/49

Probability of blue and blue is (4/7)(4/7) = 16/49

Probability of same color = prob. of red and red or prob. of blue and blue

= 9/49 + 16/49

= 25/49

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                            y - y₁ = m(x - x₁)

m = -5

(-2, 7)    ⇒   x₁ = -2,  y₁ = 7

y - 7 = -5(x - (-2))

y - 7 = -5(x + 2)            

(a, 2)   ⇒   2 - 7 = -5(a + 2)

                   -5 = -5a - 10

                   5a = 5 - 10

                     5a = -5

                       a = -1

Answer:

Hello! its 1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The by product of nuclear power is radiation as it is dangerous for health of living creatures and environment.

Answer:

Part VI: [tex]\displaystyle y = sec\:x[/tex]

Part V: [tex]\displaystyle y = 3csc\:(2x + \frac{\pi}{2}) \\ y = 3sec\:2x[/tex]

Part III: In addition, although this is a secant graph, it can also be a cosecant graph when you apply the C-value of [tex]\displaystyle -\frac{\pi}{2}[/tex]to the equation.

Part II: [tex]\displaystyle \frac{\pi}{2}[/tex]

Part I: [tex]\displaystyle \pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3csc\:(2x + \frac{\pi}{2})} \\ y = Acsc\:(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]

OR

[tex]\displaystyle \boxed{y = 3sec\:2x} \\ \\ y = Asec\:(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS the secant graph, if you plan on writing your equation as a function of cosecant, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3csc\:2x,[/tex]in which you need to replase "secant" with "cosecant", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosecant graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosecant graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the secant graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2},[/tex]and with that, the cosecant graph of the secant graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3csc\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, we can move forward. To find the period, in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are at [tex]\displaystyle \frac{5}{6}\pi = x, \frac{\pi}{3} = x, -\frac{\pi}{6} = x, and\:-\frac{2}{3}\pi = x.[/tex]From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{\frac{\pi}{2}} = -\frac{\pi}{6} + \frac{2}{3}\pi.[/tex]So, the period of this function is [tex]\displaystyle \frac{\pi}{2}.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of the graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = 0.[/tex]

*So, double-check your first two answers because they are incorrect.

I am delighted to assist you at any time.

Answer:

Since, traveling from Boston to New York is 240 miles, then we do 240÷T.  So the answer will be 240÷T.

Answer:

240/2

Step-by-step explanation:

Answer:

Volume of Cylinder=πr²h

22/7*2/1*2/1*5/1=

440/7=62.857 to nearest tenth

62.860, if u like u put the zero.

Answer:

y=10

Step-by-step explanation:

Assuming that "y" is the output and you input the -2 into the "x" variable, you would solve it like this

y=-3(-2)+4

Use order of operations

y=6+4

Add

y=10

Answer:

19.7ft

Step-by-step explanation:

i just know

Answer: x=22.0 (nearest tenth)

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos, Tan.

To which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin and then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos, then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A' is for Opposite over Adjacent.

Because we have the Adjacent (angle next to 60°) and the Hypotenuse we would be using Cos.

So first you would write:

Cos 60=11/x

Then we would have to do the inverse to 'undo' the equation to get x on it's own. This would then look like:

x Cos 60=11

Then we do the inverse again:

x=11/Cos 60

so, x=22.0 (to the nearest tenth)

Hope this helps :)

Step-by-step explanation:

Total petrol consumption of the journey=

Total distance travelled ÷ Average petrol consumption

[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]

Given 1 gallon = 4.5 litres,

[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]

Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol

[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]

Answer:

Step-by-step explanation:

12

This is what we call a 45-45 traingle

This means that the lengths of the two non-hyptonouse lengths are the same

luckily we're given that it's 6√2

We can then use the pathagaryem theory to solve for the last side

we have

(6√2)²+(6√2)²=x²

Put this into your calculator and get

144= x²

x = 12

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

11x + 2 is an exterior angle of the triangle, then

11x + 2 = 5x + 10 + 58

11x + 2 = 5x + 68 ( subtract 5x from both sides )

6x + 2 = 68 ( subtract 2 from both sides )

6x = 66 ( divide both sides by 6 )

x = 11

Answer:

6

Step-by-step explanation:

You are trying to find what number multiplied by four would  give you 24, and that number would be 6.

Answer:

1.V=288, A=288

2. V=460, A=494

3. V=672

4. A=898

Step-by-step explanation:

1.

V= l×b×h

288

A=2(lb+lh+bh)

=288

2.

V¹= larger cuboid =320

V²=smaller cuboid=140

V=460

A¹=328

A²=166

A=494

3.

V=(Area of cross section)×length

=672

4.

Area of cube=l³

³√294=6.65

add 3

9.65³=898

Answer:

ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

Answer: 160

Step-by-step explanation:1920 divided by 12

Answer:

Ruffly 6.5

Step-by-step explanation:

a^2+b^2=C^2

In this case we need to find a so we do c^2-b^2.

9.8^2-7.3^2=42.75

Square root of 42.75 is ruffly 6.5

Answer:

6.5 km

Step-by-step explanation:

hypotenuse (h)=9.8km

base(b)=7.3km

perpendicular (p)=?

we know,

p^2 =h^2-b^2

p^2=(9.8)^2-(7.8)^2

p^2= 96.04-53.29

p^2=42.75

(p)^2=(6.5)^2

p=6.5km

Answer:

Step-by-step explanation:

Using pythagoreon theorem,

a= √c^2 + b^2

Answer:

16.2kg/m³ to 1 decimal place

Step-by-step explanation:

Density=m/v

D=517/32(kg/m³)=16.15625≈16.2kg/m³ to 1 decimal place

Answer:

density =mass/volume

Step-by-step explanation:

density =517/32

16.156 rounded off

16.2m/kg

Answer:

6in, 8in and 10in

Step-by-step explanation:

For a right angled triangle :

The hypotenus, thee longest side in The triangle should be :

Hypotenus = sqrt((opposite² + adjacent²))

The most appropriate from the option would be :

6in, 8in and 10in

Hypotenus = sqrt((6² + 8²))

Hypotenus = sqrt(36 + 64)

Hypotenus = sqrt(100)

Hypotenus = 10

Answer:

C. 6 in., 8 in., and 10 in.  

Step-by-step explanation:

Just did it on edge

Answer:

The answer would be 414 . good luck ^^

Answer:

57 km per hour is the average speed

Step-by-step explanation:

Answer:

You showed no model. However, looking at this equation it seems the answer would be x=3.

Step-by-step explanation:

Add 2 to both sides which leaves you with 6=2x and then divide both sides by 2 to get x=3.

Answer:

what Type of question is that

Answer:

A = u(5)^2

= 78.55

Just substitute r and u

l think hai

l am not sure

lt is wrong than l am sorry

Answer:

D.

Step-by-step explanation:

A function has to have only one y-value for every x-value. This means that D is not a function because it contains (6,2) and (6, 4), which means that there are 2 different y-values for the x-value of 6.

24/6=4

2 dozen (24) is 4 times as many as 6

multiply 560 times 4 to get cost

560×4=2,240

Answer is 2,240 Rs