Read the following statement: x + 6 = 6 + x. This statement demonstrates:

Answer:

2.5 cm

Step-by-step explanation:

The volume of the prism is the area of the cross-section times the length.

The area of the cross-section is the area of a triangle.

4h×1/2×7 = 35

Multiply and solve for h.

14h = 35

Divide both sides with 14.

h = 35/14

h = 5/2

h = 2.5

2.5cm

and here welcome friend card

Answer:

Step-by-step explanation:

[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]

Answer:

60

Step-by-step explanation:

Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.

Answer:

Step-by-step explanation:

its B

Answer:

B

Step-by-step explanation:

Answer:

48.56 ft

Step-by-step explanation:

==>Given:

A rectangular figure joined with a half circle with the following dimensions:

Length of rectangle (l) = 10ft

Width of rectangle (w) = 8ft

Diameter of the half circle (d) = the width of the rectangle = 8ft

π = 3.14

==>Required:

Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle

==>Solution:

Perimeter of rectangle = 2(l + w)

Perimeter of half circle = ½ of circumference of a circle = ½πd

Perimeter of the figure = 2(10 + 8) + (½*3.14*8)

= 2(18) + (3.14*4)

= 36 + 12.56

Perimeter = 48.56 ft (to the nearest hundredth)

Answer:56.56

Step-by-step explanation:

For the perimeter of a rectangle

P = 2 × (a + b)

P = 2 × (8 + 10)

P = 2 × 18

P = 36

For the perimeter of a semicircle

P = (pi × r) + (2 × r)

Diameter = 8

Radius = 8/2

Radius = 4

P = (3.14 × 4) + (2 × 4)

P = 12.56 + 8

P= 20.56

Perimeter of this figure

P = r + c

P = 36 + 20.56

P = 56.56

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2y -3x=8

Add 3x to each side

2y-3x+3x= 8+3x

2y = 3x+8

Divide by 2

2y/2 = 3/2x +8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

[tex]\frac{3}{5} =k(30)[/tex]

Divide both sides by 1/30 to get k alone.

[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and

[tex]k=\frac{1}{50}[/tex]

Our model then is

[tex]d=\frac{1}{50}w[/tex]

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.

Answer:

A

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Mark the first decimal place

Examine the second decimal place and if it is lower than five we round down and vice versa

Answer:

195 m.

Step-by-step explanation:

The time for the  sound waves to reach the fish is 0.26/2 = 0.13 seconds.

Distance = speed * time

= 1500 * 0.13

= 195 m.

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

1/3

Step-by-step explanation:

We are given to find the slope of the line shown on the graph.

We note that

the line on the graph passes through the points (3, -4) and (6, -3).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.m=

c−a

d−b

.

Therefore, the slope of the given line is

\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}

m=

6−3

−3−(−4)

⇒m=

3

−3+4

⇒m=

3

1

.

Thus, the required slope of the line is \dfrac{1}{3}.

3

1

.

Option (B) is CORRECT.

Answer:

f(x) > -x + 2

Step-by-step explanation:

First I found the equation of the line.

The y intercept is at 2 so I know to add 2 at the end

The slope is -1 since it is going downwards

Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than

Putting all that together, the equation is f(x) > -x + 2

Answer:

Step-by-step explanation:

The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m

Each side of the cube made is 2m

Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are

Length = 2 × 2 = 4m

Width = 3 × 2 = 6m

Height = 4 × 2 = 8m

Volume = length × width × height

Volume = 4 × 6 × 8 = 192 m³

Number of small cubes used is 192/1 {= 192

The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes

Answer:

[tex]y-3=5(x+1)[/tex]

Step-by-step explanation:

Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' - Slope

(x1, y1) - Point Coordinate

We are given the point of (-1,3) and the slope of 5.

Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

Answer:

(4, 3)

Step-by-step explanation:

Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.

Answer:

5/6

Step-by-step explanation:

To distribute the water equally, you divide the 5 gallons of H2O by 6 people. You will get the fraction 5/6 as your answer.

Answer:

8 is -5

9 is (-2,3)

10 is -10

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

3 meters per second.

Step-by-step explanation:

Change in elevation = distance / time

= 18/6

= 3 meters / second.

.

Answer:  (b) -5x + 5

Step-by-step explanation:

f(x) = 5x        g(x) = -x + 1

f(g(x)): g(x) = -x + 1          f(-x + 1) = 5(-x + 1)

                                                   = -5x + 5

The Greatest Common Factor of 32 and 48 is 16.

The longest necklace she can make is of 16 inches length.

Answer:

Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one

Step-by-step explanation:

Sorry ignore this

Answer:

Boys : Girls = 5 : 7

Jeff should find the number of girls at first.

Step-by-step explanation:

Boys - 10

Girls - 24 - 10 = 14

Boys : Girls = 10 : 14

Boys : Girls = 5 : 7

Jeff did not find the number of girls, he took the number of all students instead.

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Answer:

B.

Step-by-step explanation:

Step 1: Cross-multiply

x² + 2x = 4x²

Step 2: Isolate x's

2x = 3x²

0 = 3x² - 2x

Step 3: Factor

x(3x - 2) = 0

Step 4: Find roots

x = 0, x = 2/3

Step 5: Double check answers.

When you do so, you should see that only x = 0 works. And we have our answer!

Answer:

its c man its c

Step-by-step explanation:

Answer:

[tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{98} -\sqrt{128}[/tex]

[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]

[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]

[tex]7\sqrt{2}-8\sqrt{2}[/tex]

[tex]=-\sqrt{2}[/tex]

Answer:

(1+2)3

Step-by-step explanation: it equals 9 the the other expressions  equal 8 0 and 6 so option one is the greatest value.

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Here we start with the polynomial:

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

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

If you want to learn more about polynomials:

https://brainly.com/question/4142886

#SPJ2

Answer:

D

Step-by-step explanation:

I took the test, dont listen to the person above me:)

Answer:

y<x+1

Step-by-step explanation: