Find m ABD. Please help me.

Answer:

10

Step-by-step explanation:

refer attachment for detailed answer

Answer:

/

Step-by-step explanation:

Answer:

z<-4

Step-by-step explanation:

-2z-5>3

Add 5 to both sides.

-2z>8

Divide both sides by -2.

Z<-4

The sign must change because you are dividing by a negative.

a computer programer is making 12,100 more dollars than the technichan.

Answer:

6/7

Step-by-step explanation:

greatest common factor: 4

24/4=6

28/4=7

Answer:

20 inches

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 15

Hypotenuse c = 25

Step 2: Solve for x

Answer:

20 inches

Step-by-step explanation:

Step 1: Understanding Pythagorean Theorem

The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.

Step 2: Using the Theorem

We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.

We can denote -

a - 15

b - unknown

c - 25

(note, c is always the hypotenuse or the longest side of the triangle)

We can plug in the numbers -

[tex]15^{2} +b^{2} =c^{2}[/tex]

[tex]225 +b^{2}=625[/tex]

[tex]b^{2} =625-225[/tex]

[tex]b^{2} =400[/tex]

[tex]b=20[/tex]

Answer:

The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C

Step-by-step explanation:

In the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas

∵ The purple line is a vertical line

∵ It is cross the x-axis at the point (4, 0)

→ By using the first rule above

∴ The equation of the purple line is x = 4

∵ The purple line is solid and the shaded area left the line

∴ The sign inequality is ≤

∴ The inequality of the purple area is x ≤ 4

∵ The blue line is a horizontal line

∵ It is cross the y-axis at the point (0, 1)

→ By using the second rule above

∴ The equation of the blue line is y = 1

∵ The blue line is dashed and the shaded area above the line

∴ The sign inequality is >

∴ The inequality of the blue area is y > 1

∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1

Answer:

Step-by-step explanation:

The nth term of an exponential sequence is expressed as ar^n-1

The nth term of a linear sequence is expressed as Tn = a + (n-1)d

a is the first term

r is the common ratio

d is the common difference

n is the number of terms

Let the three consecutive terms  of an exponential sequence be a/r, a and ar

second term of a linear sequence = a +d

third term of a linear sequence = a + 2d

sixth term of a linear sequence = a + 5d

Now if the three consecutive terms  of an exponential sequence are  the second third and sixth terms  of a linear sequence, this is expressed as;

a/r = a + d ..... 1

a = a + 2d ..... 2

ar = a+ 5d .... 3

From 2: a = a + 2d

a-a= 2d

0 = 2d

d = 0/2

d = 0

Substitute d = 0 into equation 1:

From 1: a/r = a + d

a/r = a+0

a/r = a

Cross multiply

a = ar

a/a = r

1 = r

Rearrange

r = 1

Hence the common ratio of the exponential sequence is 1

Answer:

4 is D = 23

Step-by-step explanation:

the coefficient is the number before the letter

Answer:

96

Step-by-step explanation:

80÷100×120

96 ,, , ,; , ,

Answer:

(0.8) (120)

Step-by-step explanation:

[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]

Answer:

24 or 25, because of the max height it can reach on the graph, its reaching the maximum height it can go

-

Answer:

the square root of 5.494 is 2.34

Step-by-step explanation:

The computation of the square root of 5.494 is as follows"

According to the question it is mentioned that

The number is 5.494

Now the square root of the above number is

[tex]\sqrt{5.494}[/tex]

= 2.34

Hence, the square root of 5.494 is 2.34

Therefore the same is to be considered

Answer:

Step-by-step explanation:

if our motorcycle use 70 miles per gallon

and 1mile=1.6 km

the motorcycle travels 70*1.6=112 km per gallon

for 60 km it needs

60/112=0.54 gallons

Answer:

2 2/19

Step-by-step explanation:

5 cases in 2 3/8 hours

The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.

5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19

Answer:

2 2/19 cases per hour

Step-by-step explanation:

5 ÷ 2 3/8

~Turn the fraction on the left into an improper one

5 ÷ 19/8

~Copy Dot Flip

5/1 * 8/19

~Multiply

40/19 or 2 2/19

Best of Luck!

Answer:

There would be 1080 bacteria in the culture.

Step-by-step explanation:

Initial number of bacteria = 40

Given that

culture of bacteria triples by the end of each hour

Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)

Number of bacteria after 1 hour = 120

number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120

number of bacteria after 2 hours =360

number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080

Thus,

there would be 1080 bacteria in the culture.

Answer:

1080 bacteria

Step-by-step explanation:

Answer:

96 apple pies, 64 cherry pies, and 48 blueberry pies.

Step-by-step explanation:

6 + 4 + 3 = 13, and 208 / 13 = 16. Now multiply each number in the ratio by 16, so 6 x 16 = 96, 4 x 16 = 64, and 3 x 16 = 48. You can check your answer by adding all 3 numbers and making sure it adds up to 208. Hope that helps

Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

Answer:

x=0.16

Step-by-step explanation:

Answer:

Nadia is incorrect, please check explanations for the correction to her work

Step-by-step explanation:

Here, we want to validate the wok of Nadia

Let the number be n

5 times the number is 5 * n = 5n

Difference between 5n and 3 less than twice the number

3 less than twice the number is 2n-3

So it should be 2n-3 ;

The solution is thus;

5n - (2n-3) = 18

5n - 2n + 3 = 18

3n + 3 = 18

3n = 18-3

3n = 15

n = 15/3

n = 5

Answer:

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Ok so we will eliminate some numbers first. The width is 12, but the total on the perimeter is 24. 50-24 = 26

26 is not the length, so divide that by 2, and get 13

Proof:

x=2

13x=26

12x=24

24+26 = 50

Answer:

C. 0 ≤ y ≤ 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see that the line's y-value span from 0 to 8. Since both are closed dots, they are inclusive in the range:

[0, 8] or 0 ≤ y ≤ 8

Answer:

Not a function

Step-by-step explanation:

If you use the line/ pencil test ***I think that's what it's called...

you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.  

Answer:

TUNNEL:

f(x) = -2/4.9  [tex]x^{2}[/tex]  + 9.8

TRUCK:

Width (m) < 9.8

Height (m) <  -2/4.9 ( [tex]Width^{2}[/tex] /4 - [tex]4.9^{2}[/tex] )

Step-by-step explanation:

Please see attachment

If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

Any function of the form[tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that, If the maximum height of the tunnel is the same as its maximum width, 9.8 meters.

We have to determine a quadratic model to represent the tunnel.

The quadratic function is formed as,

f(x) =K(x-x₁)(x-x₂)

x₁=width/2

x₁=9.8/2 = 4.9

x₂= -x₁ = -4.9

Substitute the obtained value as,

f(x) = K(x-4.9)(x-(-4.9))

f(x) =K(x²-4.9²)

f(0)=9.8

The value of K is obtained as a result,

K=-2×4.9/(4.9)²

K= -2/4.9

Substitute the value of K as,

f(x) = -2/4.9(x²-4.9²)

f(x) = (-2/4.9)x²+2×4.9

f(x)= (-2/4.9)x²+9.8

Thus, if the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

Learn more about quadratic function here:

brainly.com/question/17177510

#SPJ2

Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

To know more about Trigonometry click the link given below.

https://brainly.com/question/13760328

Answer:

54 - 3d

Step-by-step explanation:

In order to find the cost of 3 DVDs we would simply need to multiply the expression given by 3. In order to do so we must use the distributive property and distribute the 3 to both the initial price of the dvd and the discount price, like so...

3(18 - d)  ... in order to distribute we multiply 3 by 18 and then by d seperately

(3 * 18) - (3 * d)

54 - 3d

That would leave us the expression 54 - 3d

Answer:

216[tex]\pi[/tex]

Step-by-step explanation:

Given the figure.

And the perimeter in the ratio 4: 2: 1.

Perimeter of smallest circle = [tex]8\pi[/tex]

To find:

Area of shaded region.

Solution:

To find the area, we need to have radius first.

And radius can be calculated by the given perimeter.

Formula for Perimeter is given as:

Perimeter = [tex]2\pi r[/tex]

[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]

Radius of smallest circle = 4 cm

Ratio of perimeter is equal to the ratio of the radii.

Radius of 2nd smallest circle by the given ratio = 8 cm

Radius of largest circle = 16 cm

Area of a circle is given the formula:

[tex]A = \pi r^2[/tex]

Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]

Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]

Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]

Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle

Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]

Answer:

The slopes of WX and XZ

Step-by-step explanation:

The singular factor that determines if the parallelogram is a rectangle are the angles at the edges

Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle

So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product

Hence, the slopes of WX and XZ can be calculated to show this

Answer:

0.3

Step-by-step explanation:

The answer is actually 3

Answer:

x=2

Step-by-step explanation: