A rectangular prism has a width of x cm. Its length is 3 cm more than its width, and its height is 4 cm more than its length. Write an algebraic expression, in simplified form, for the volume of the prism.

So you basically have to find the area as if it were a rectangle, which would be 19*13, which is 247. Then, you find the area of the corner taken out and subrtact it, so 3*4 is 12, and 247-12 is 235.

Answer:

An acute angle is an angle less than 90°

Answer:

A. Acute angle

Step-by-step explanation:

The angle which is less than 90 degrees is known as the acute angle.

Answer:

2 1/3 yards

Step-by-step explanation:

Total length of wood needed = 42 feet

Convert feet to yards

1 feet = 0.333333 yards

42 feet = 14 yards

He has 11 2/3 yards.

How many more yards of wood does he need?

= 14 yards - 11 2/3 yards

= 14 - 35/3

= (42-35)/3

= 7/3

= 2 1/3 yards

He needs 2 1/3 yards more yards of wood

Answer:

9

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

Answer:

X=4

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.

Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:

[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]

Answer:

the second and thrid one :)

Step-by-step explanation:

Answer:

2,-1/4

you can use the calculator to find the answer .

depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

Answer:

B.

Step-by-step explanation:

The values for g(x) divert after the point -1.

So, the values are going to be equal or greater than -1.

Answer:

Step-by-step explanation:

x-2

X < 10

Step-by-step explanation:

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

[tex]y = (x - (-4))^2 -2[/tex]

The double negative becomes a positive, and then you're done:

[tex]y = (x + 4)^2-2[/tex]

Answer:

B i think

Step-by-step explanation:

Answer:

5x^2+18x+5

Step-by-step explanation:

Answer:

5x² + 18x + 5

Step-by-step explanation:

Given

3x² + 8x - 1 + 2(x² + 5x + 3) ← distribute parenthesis

= 3x² + 8x - 1 + 2x² + 10x + 6 ← collect like terms

= 5x² + 18x + 5

Answer:

by using Pythagoras law

h²=p²+b²

7²=4²+b²

b²=49-16

b=√33=5.744

third side is 5.744

Answer:

missing length = 5.74

Step-by-step explanation:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 7^{2} - 4^{2}[/tex]

[tex]a^{2} = 49 - 16[/tex]

[tex]a^{2} = 33[/tex]

[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]

[tex]a = 5.74[/tex]

Answer:

10(6y−9−2x) and 5(12y−18−4x)

Answer: 10(60y/10 - 90/10 +-20x/10)

Answer:

:(

Step-by-step explanation:

idek

Answer:

well played ahajkdjajkskdjdhdjskkskfjsiiskfks

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

Answer:

d) 44, 41, 40

Step-by-step explanation:

34 + 6 = 40

40 - 3 = 37

37 - 1 = 36

36 + 6 = 42

42 - 3 = 39

39 - 1 = 38

pattern: +6, -3, -1

the next pattern from -1 is +6 so we take 38 and add 6:

38 + 6 = 44

then take 44 and subtract 3 from it:

44 - 3 = 41

lastly, take 41 and subtract 1 from it:

41 - 1 = 40

Answer:

44,41,40

Step-by-step explanation:

34

34 + 6 = 40

40 - 3 = 37

37 - 1 =  36

36 + 6 = 42

42 - 3 = 39

39 -1 = 38

So, your next set of numbers are

38 + 6 = 44

44 - 3  = 41

41 - 1 = 40

Answer:

-k=9×3

-k=27

God luck friend

Answer:

Step-by-step explanation:

x=3