The volume of a box in the shape of a rectangular prism
is 30 cubic inches. The width of the box is 2 inches less
than the length. The height is 3 inches less than the length.
Find the length (in inches) of the box.

Answer:

9

Step-by-step explanation:

the triangle is right angle.

at right angle it makes 90°. therefore;

(3d+1)°+(6d+8)°=90°

3d+1°+6d+8°=90°

9d+9°=90°.

9d=90°-9°

9d=81°

d=81/9

d=9°

Answer:

look at the picture i sent........

Step-by-step explanation:

Given :-

And we need to simplify the given numbers . We can use a identity in 1st Question as ,

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Simplifying first :-

[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]

Simplifying second :-

[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]

Answer:

277.1 feets

Step-by-step explanation:

Drop height = 120 feets

Ball bounces 2/5 of previous height

Height after 1st bounce :

120 * 2/5 = 48 feets

Return distance = 48 feets

Height after second bounce :

48 * (2/5) = 19.2 feets

Return distance = 19.2 feets

Height after 3rd bounce :

19.2 * (2/5) = 7.68 feets

Return distance = 7.68 feets

Height after 4th bounce :

7.68 * (2/5) = 3.072 feets

Return distance = 3.072 feets

Height after 5th bounce :

3.072 * (2/5) = 1.2288 feets

(120 + (2*48) + (2*19.2) + (2*7.68) + (2*3.072) + 1.2288) = 277.1328

= 277.1 feets

Answer:

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Answer:

value of x = 12

value of y = 8

Answer:

80

Step-by-step explanation:

find 2 percent of 1000 and times it by 4 the amount of years

Answer:

$1082.43

Step-by-step explanation:

You use the interest formula.

P(1+r/n)^nt

Then plug it in

1000(1+.02)^4

Which comes out to 1082.43

Hope this helps

Brainliest would be appreciated

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

the diameter is found by the formula πr2

Answer:

I want to say B or D please tell me if I'm right lol

Answer: A) -7 + 2.5

Step-by-step explanation:

- and - makes +, which makes -(-2.5) a +2.5

Answer:

7.7

Step-by-step explanation:

To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,

Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5  4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:

4²+6²=c²

24+36=c²

√60=c

c=7.74....

But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)

Answer:

A . ( 1 , 2 )

Answer:

G

Step-by-step explanation:

Because it is an equation

Answer:

I have the same question but with one more number.

anyways-

30 or 15? (i dont know, maybe look at the other answer?)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

One of them has to be 2. Two odd numbers added together make an even number. So you have two pairs of odd prime numbers and 2 must be the last one. If it is not then the sum will be odd.

Here's an example

3 + 5 + 7 + 11 = 26 which is even. If the next prime is odd, the whole sum will be odd.

26 + 17 = 43

However if the 5th number is two, then the sum of the 5 primes will be even.

26 + 2 = 28

Answer:

B. 210°

hope it helps

have a nice day

Answer:

Q1 = 4

Q2 = 7

Q3 = 42. 75

Step-by-step explanation:

Given the data:

626676848497

6, 2, 66, 7, 6, 8, 4, 8, 49, 7

Arrange in ascending order :

2, 4, 6, 6, 7, 7, 8, 8, 49, 66

The lower quartile (Q) :

1/4(n+1)th term

n = number of sample = 10

1/4(11)th term

2.75 term : (2 + 6) /2 = 8/2 = 4

Median :

1/2(n+1)th term

n = number of sample = 10

1/2(11)th term

5. 5 term : (7 + 7) /2 = 14/2 = 7

Upper quartile :

3/4(n+1)th term

3/4(11)th term

8.25 th term

3 /4 (8 + 49) = 42.75

Answer:

5/12

5 balloons were yellow out of the 12

Answer:

x = -2, y = -4, or (-2, -4).

Step-by-step explanation:

5x + y = -14

5x - 3y = 2

If we look at the first equation, we can see that y can be easily isolated.

5x + y = -14

Subtract 5x from both sides.

y = -5x - 14

Now we have a variable that we can plug into the second equation.

5x - 3y = 2

5x - 3(-5x - 14) = 2

Distribute the -3 across each term in the parentheses.

5x + 15x + 42 = 2

Combine like terms.

20x + 42 = 2

Subtract 42 from both sides.

20x = -40

Divide both sides by 20 to isolate x.

x = -2

Plug in x = -2 back into one of the equations to find y.

y = -5x - 14

y = -5(-2) - 14

Multiply.

y = 10 - 14

Subtract.

y = -4

Our solution is x = -2, y = -4, or (-2, -4).

Check your answer by plugging both values into one of the equations.

5x - 3y = 2

5(-2) - 3(-4) = 2

-10 + 12 = 2

2 = 2

Your answer is correct.

Hope this helps!

Answer:

40 cm

Step-by-step explanation:

Area of rectangle:

A = bh

A = 5(6)

A = 30

Area of triangle:

A = 0.5bh

A = 0.5(5)(4)

A = 2.5(4)

A = 10

Combined:

30 + 10

40

Answer:

answer: 150 in sq

Step-by-step explanation:

All we have to do to these is multiply 2.5 by the base and height then multiply base × height so 2.5 × 8 = 20 2.5 × 3 = 7.5

20 × 7.5 = 150 Hope this helps!

Answer:

A is correct option. Thanks