Ashely found 2 boxes of sugar in the kitchen. The green boxe is 1.26 kg and the red box is 1.026 kg. Which box contains more sugar?

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°

Answer:

∠3 and ∠5

Step-by-step explanation:

Answer:

y=1262 /63 or y=20 and 2/63

Step-by-step explanation:

plug 21 into the equation to get y=2/3(21)+20

Answer:

26

Step-by-step explanation:

Each term is the previous with 4 added to it.

a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26

The value of [tex]a_{5}[/tex] will be equal to 26 .

It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].

We have to find the value of [tex]a_{5}[/tex].

What do you mean by sequences ?

Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.

As per the question ;

The first term ;  [tex]a_{1}[/tex]= 10

and given ;

[tex]a_{n} = a_{n-1} + 4[/tex]

So ;

2nd term will be ;

[tex]a_{2} = a_{1} + 4[/tex]

[tex]a_{2}[/tex] = 10 + 4

or

[tex]a_{2}[/tex] = 14

Now ;

3rd term will be ;

[tex]a_{3} = a_{2} + 4[/tex]

[tex]a_{3} = 14 + 4[/tex]

[tex]a_{3}[/tex] = 18  

Hence , the common difference is d = 4.

So ;

4th term will be ;

[tex]a_{4}[/tex] = 18 + 4

[tex]a_{4}[/tex] = 22

and

5th term will be ;

[tex]a_{5}[/tex] = 22 + 4

[tex]a_{5}[/tex] = 26

Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .

To learn more about sequences click here ;

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Answer:

here is a example to help, becuase The format is messed up on my side Construct a line CD to cut the line AB at point E.

We know that in the triangle BDE exterior angle is equal to the sum of two opposite interior angles

We know that in the triangle AEC exterior angle is equal to the sum of two opposite interior angles

∠CEB=∠CAB+∠ACE

By substituting the values

Answer:

yes and no

Step-by-step explanation:

l

Answer:

l = 4w + 3

Step-by-step explanation:

The area of the model on the right = area of model on the left × 3² = 216 sq. cm.

A model represents a real object on a drawing paper.

Given that the model is triangular in shape, the model on the right is 3 times the model on the left.

Therefore, area of model on the left = area of model on the left × 3².

Area of model on the left = 24 × 9

Area of model on the left = 216 sq. cm.

Learn more about models on:

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Answer: x-3=0 and 6=2x

Step-by-step explanation: to find what X equals for each equation you have to get X alone to get X alone in the first option you have to do +3 to both sides of the equal sign which leaves you with x=3 which you then do for the rest of the options an select all the one left with x=3.

Answer:

Step-by-step explanation:

Answer:

im not good with trigangles but illtry to help

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]sin60=\frac{HR}{72}\\ \\ HR=72sin60\\ \\ \text{They are checking to see if you know the relationships of the 30,60,90 triangle whos sides opposite of those angles are }1,\sqrt{3},2\\ \\ sin60=\frac{\sqrt{3}}{2}\\ \\ HR=\frac{72\sqrt{3}}{2}\\ \\HR=36\sqrt{3}[/tex]

Answer:

A. The height of the water increases 2 inches per minute.

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

[tex]I=\dfrac{6000\times 6\times 4}{100}[/tex]

[tex]I=60\times 6\times 4[/tex]

[tex]I=1440[/tex]

Now,

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=6000+1440[/tex]

[tex]Amount=7440[/tex]

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

Answer:

6d

Step-by-step explanation:

Answer:

Step-by-step explanation:

For example, to find the common (positive) multiples of 4 and 6, we might list: Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, … Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, … The numbers 12, 24, 36, and 48 appear on both of these lists, and more would appear if the lists were longer.

Answer:

6: 6; 12; 18; 24; 30; 36; 42; 48; 54; 60; 66; 72

4: 4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48

Step-by-step explanation:

Answer:

Decagon

Step-by-step explanation:

A decagon has 10 vertices. which is greater than the number of vertices a pentagon, hexagon, and octagon has

Answer:

$797.30 or B on egunty :

)

Answer:

The answer is B.$797.30 on Edge 2021

Answer:

a= 2

d= 6

n=30

sum= n/2[2a+(n-1)x d]

30/2[ 2x2 + (30-1) x 6]

15 [ 4 +29 x6]

15x 178

= 2670

hope it helps you

mark me as brainliest

Answer:

csc

( 60 )

cos

( 390 ) − 4 cot   ( − 45 )

-19x+32

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  (1, 1/6)

Step-by-step explanation:

The "unit rate" is always the y-value for x=1 when the relationship is proportional (as it is here).

That point is not specifically shown on the graph. It would be (1, 1/6).

Answer:

[tex] \frac{ \sqrt{7} }{2} [/tex]

Step-by-step explanation:

The triangle is an isosceles triangle. Because the triangle is an isosceles triangle, the height and base of the triangle are equal to eachother.

a² + b² = c²

right now we have c² which is 7

a² + b² = 7

[tex] \frac{ \sqrt{7} }{2} [/tex]

because a² and b² are = to eachother

now im lost dony listen to me lol.

Answer:

number three is vertical

number 4 x=28

number 5 x=24

Answer:

C) $3750

Step-by-step explanation:

We can start by calculating the down payment. To do this we can just simply calculate 25% of 3000, which equals 0.25*3000=7500. Now we can find out how much money it will cost to pay not including the down payment. $125 monthly for 2 years= $125 monthly for 24 months= 125*24= $3000. Finally we add the downpayment and the total cost of monthly payment to get $7500+$3000=$3750.

Answer:

-1

Step-by-step explanation:

-5 -(-4)

- 5 + 4  =    (two negatives together make a positive sign)

-1

Answer:

-1

. . .. . . . . . . . . .. . . . .

Answer:

I believe the correct answer would either be B or D.

Step-by-step explanation:

I'm not 100% certain but I have doe similar questions so I'm quite sure.

Step-by-step explanation:

4x and 6x sit on a straight line therefore must equal to 180°

4x+6x = 180° (∠'s on str. line)

10x = 180

x= 180/10

x= 18

Then we need to find ∠UYV

∠UYV = 4x

=4(18)

=72°

So ∠UYV = 72°