A rectangular block of metal is 25cm long, 13cm wide and 10cm high.
The metal block is melted down and all of the metal is used to make a cube.
Work out the length of each side of the new cube formed.
Give your answer rounded to 1DP.

let's say

A(-3,1) B(-3,5) C(4,1)

we need to find the perimeter of ABC for that we find each of the sides

AB BC and AC

there is a formula to find the distance between 2 poins

let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5

AB=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

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

AB=[tex]\sqrt{0^2+4^2}[/tex]

AB=4

we do the same thing for AC and BC

AC=[tex]\sqrt{(4+3)^2+(1-1)^2}[/tex]

AC=[tex]\sqrt{7^2+0^2}[/tex]

AC=7

BC=[tex]\sqrt{(4+3)^2+(1-5)^2}[/tex]

BC=[tex]\sqrt{7^2+(-4)^2}[/tex]

BC=[tex]\sqrt{49+16}[/tex]

BC=[tex]\sqrt{65}[/tex]

The perimeter is equal to the sum of the sides

P=AB+AC+BC=4+7+[tex]\sqrt{65}[/tex]=11+[tex]\sqrt{65}[/tex]

Answer:

q= - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Simplify from 3 (q+4/3) = 2 to 3q+3(4/3)=2

Cancel the common factor 3

3q+4=2

3q=2-4

3q=-2

q=-2/3

Hi ! Does the question include an image?

Answer:

This one

Step-by-step explanation:

Help me

Answer:

256

Step-by-step explanation:

Answer:

The y-values from top to bottom are;

3, 5 , 7, 9, 11, 13, 15

Step-by-step explanation:

Here, we want to fill out the given table

Let us have an equation linking x and y

From the question, we can have this as;

y = 5 + 2x

When x = -1

y = 5 + 2(-1) = 3

when x = 0

y = 5 + 2(0) = 5

when x = 1

we simply add 2 to the previous

= 5 + 2 = 7

when x = 2

= 7 + 2 = 9

when x = 3

= 9 + 2 = 11

when x = 4

= 11 + 2 = 13

when x = 5

y = 13 + 2 = 15

Answer:

36.1

Step-by-step explanation:

The speed of the train in china is 267.4 miles per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A train in France can travel at a speed of 217.4 miles per hour.

A train in China can travel 1.23 times this speed to obtain the speed of the train in china we have to multiply how many times it is faster by the speed of the train in France which is,

= (217.4× 1.23) miles per hour.

= 267.4 miles per hour.

learn more about the unitary method here :

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Answer:

First = 49/4

Second = 539

Step-by-step explanation:

The dot product is 539, and the scalar projection of a onto b is 49/4

Vector is a quantity that has both magnitude and direction.

The scalar projection of a onto b is given by

[tex]\dfrac {a.b}{|b|}[/tex]

a.b = |a| |b| cos[tex]\rm \theta[/tex]

a.b = 21 *44 *(7/12)

a.b = 539

The dot product of a and b is 539.

The scalar projection is

= 539 / 44

= 49/4

Therefore, the dot product is 539, and the scalar projection of a onto b is 49/4.

To know more about Vector

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Answer:

Step-by-step explanation:

410 ft i think

Answer: 75.6

rounded= 76 ft

Step-by-step explanation:

Tan60= x/400 = 692.8

tan62.5= 4/400 =  768.4

x= 75.6ft

Answer:

yo, its

y=x−2

Step-by-step explanation:

Answer:

it is y = x-2

Step-by-step explanation:

Answer:

about 5.9 meters/second

Step-by-step explanation:

300 meters / 51 seconds

= 5.88

≈ 5.9

Answer:

The sign is negative

Step-by-step explanation:

Given

[tex]Expression = 3xy[/tex]

[tex]x > 0[/tex]

[tex]y<0[/tex]

Required

Determine the sign

The expression can be split into 3 factors

[tex](3) (x) (y)[/tex]

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

[tex](+3) (+x) (-y)[/tex]

Leave only signs

[tex](+) (+) (-)[/tex]

[tex]+ * + = -[/tex]

So, we have:

[tex](+*+) (-)[/tex]

[tex](+) (-)[/tex]

[tex]+ * - = -[/tex]

So, we have:

[tex](+) (-) = -[/tex]

Hence, the sign of the expression is negative

Take for instance;

[tex]x = 2[/tex]

[tex]y = -4[/tex]

The expression would be:

[tex]3 *2 * - 4 =-24[/tex] -- negative

Step-by-step explanation:

Given as :

The time period for the car loan = t = 2 years

The rate of interest applied = r = 6% at simple interest

The interest amount = S.I = $264

Let The principal amount which Elsa borrowed = $p

Now, From simple interest method

Simple Interest = 

Or, S.I = 

Or, $264 = 

Or, $264 × 100 = 12 × p

Or,  p = 

∴ p = $2200

So, The principal she borrowed = p = $2200

Hence,The Principal amount that Elsa borrowed for the car loan is $2200 . Answer

Answer:

The answer is x=−2y+4

Step-by-step explanation:

1) Add -4y to both sides.

2x+4y+−4y=8+−4y

2x=−4y+8

Step 2: Divide both sides by 2.

2x/2=−4y+8/2

x=−2y+4

Hope this helps

Answer:

Step-by-step explanation:

Apply the slope formula to be sure. The slope formula is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Filling in with our coordinates gives us:

[tex]m=\frac{-2-10}{-2-4}=\frac{-12}{-6}=2[/tex]

The slope is 2. If you don't want to use the slope formula you could just look at the line and pick 2 points the line goes through and use a slope triangle, but that's a bit more difficult to explain without the benefit of being there to point out the idiosyncrasies of it.

Answer:

6

Step-by-step explanation:

2(x+2) + 3x

2x + 4 + 3x = 34

5x + 4 = 34

5x = 34–4

5x = 30

x = 30/5

x = 6

Answer:

slope is 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

(4,3) (2,-7)

Put it in the equation of y2 - y1 over x2 - x1

-7-3 = -10 and 2 - 4 = -2 that will give you the fraction of -10/-2

Reduce the fraction and that will give you the answer of 5, slope = 5

In slope-intercept form it would be y - 3 = 5 (x - 4)

Hope this helps! ^^

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

Answer:

Henny = (x-8) dollars

Step-by-step explanation:

Janet's has x dollars.

Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.

Henny has = (x-8) dollars

Hence, the expression that shows dollars Hanley has is (x-8).

Answer:

We can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Step-by-step explanation:

We know that the diagonals of any parallelogram bisect each other, each diagonal cutting the other into two equal parts.

In other words, according to Parallelogram Diagonals Theorem Converse, the figure will be a parallelogram if the diagonals of the quadrilateral figure cut (bisect) each other. It is basically the

From the given Parallelogram, it is clear that the diagonals bisect each other, each diagonal cutting the other into two equal parts with the length 3 units.

Therefore, we can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.

Given :

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional  $110 per hour for each hour worked over 35 hours per week.

To Find :

A cashier worked 39  hours one week and 37 hours the second week.

Show and explain to the cashier how her salary calculated in this two-week period.

Solution :

Week 1 :

For first 35 hours he will get fixed amount i.e $540.

Now, for next four hours he will get $110 per hour.

So, total salary, T = 540 + (110×(39 - 35)

T = $980

Week 2 :

Total salary, T = 540 + ( 110×( 37 - 35 ))

T = $760

Therefore, salary of two week period is $( 980 + 760 ) = $1740.

whenever the line drops to the bottom of the graph the reason is because her speed drops to 0

Answer:

what to find the sum of Rs or

Answer:

If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars

Step-by-step explanation:

(wait but where is the question) Also 15 dollars or cents?

3*15= 45

4* 10= 40

45+40= 85

Answer: point b=(-2,0) point c=(0.3)

triangle graph= c at the top b on the left side bottom and a on the right side botton

Step-by-step explanation:

Answer: [tex]\frac{1}{4} +\frac{1}{2}[/tex]

Step-by-step explanation:

given data:

fraction = [tex]\frac{3}{4}[/tex]

Solution:

se can make use of the fraction [tex]\frac{1}{4} + \frac{1}{2}[/tex] to get same answer as shown bellow.

[tex]=\frac{1}{4} + \frac{1}{2}[/tex]

first we look for the lcm of the denominators.

[tex]= \frac{2+1}{4}[/tex]

[tex]=\frac{3}{4}[/tex]

.

Answer: 15.7828283 miles

Step-by-step explanation: 5280*12 = 63360. There are 63360 inches in 1 mile. 1000000/63360=15.7828283

Answer: is 99x + 84 < 1,150

Step-by-step explanation: