Exercise 11-16. I know it’s late but I’m really confused on them so please help me.

Answer:

None

Step-by-step explanation:

The MP = 5 is too short to touch the diagonal side

One triangle can  drawn with the given information.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given that, in Δ​NMP, m∠MNP =45°​, MN =7.5 feet, and MP=5 feet.

A triangle has six elements – 3 sides and 3 angles. To construct a unique triangle, 3 elements out of six elements are required under a certain combination.

So, with the given elements we can draw a triangle.

Therefore, one triangle can  drawn with the given information.

Learn more about the triangle here:

https://brainly.com/question/2773823.

#SPJ5

9514 1404 393

Answer:

Step-by-step explanation:

6 years from now, Johnson will be 12 years older than Agnes and twice her age. That means Agnes will be 12 and Johnson will be 24.

Agnes is 6 now, and Johnson is 18 now.

Answer:

17 and 20

Step-by-step explanation:

omg I can't explain it took much time to solve I've got no time

im so sorry

Answer: (4,5)

Because I don't know another way I can solve

Step-by-step explanation:

Answer:

x-intercept: (15, 0)

y-intercept: (0, 12)

Step-by-step explanation:

1.) convert the equation to y=mx+b format

4x + 5y= 60

5y = -4x + 60

y = -4/5x + 12

2.) Now we know that "b" in the equation is the y-intercept. 12 is b so the y-intercept is 12.

3.) To find x intercept we will plug in y=0.

0 = -4/5x + 12

-12 = -4/5x

15 = x

Answer:13.5

Step-by-step explanation:

From the 64 values in the table on the left, count how many fall within the given ranges under the "classes" column in the table on the right. The "frequency" is the number of values in the data that belong to a given "class".

For example, "< -16.0" means "values below -16.0". Only one number satisfies this: -16.2 (first row, third column). So the frequency for this class is just 1.

Then for the range "-15.9 - 13.0", which probably means "numbers between 15.9 and -13.0, inclusive", the frequency is 0 because every number in the table is larger than the ones in this range.

And so on.

Answer:

5669.39

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

No, two acute angles cannot form a supplementary angle. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. ... Example: 80° +60° = 140° which is not a supplementary angle. But, in the case, if we add more than two acute angles, we can get supplementary angles.

Answer:

4x^2 -3 + 1/x

Where ;

p(x) =( 4x^2 -3) and k = 1

Step-by-step explanation:

Here, we want to divide the given polynomial

To get this, we can use the method of long division

P(x) will be the quotient of the division, while k will be the remainder of the division

We can see the long division used in as seen in the attachment

So, we have the result as;

4x^2 -3 + 1/x

Where ;

p(x) = 4x^2 -3 and k = 1

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

Answer:

The scale factor would be -5.

Step-by-step explanation:

If the driveway is 20 feet but 4 foot on the canvas. Then 20/4 is 5. But since the width is going from 20 to 4, the numbers are going down to it would be a negative scale factor. If it was going from 4 width to 20 width, the scale factor would be a positive 5.

Answer:

[tex]the \: second \: equation[/tex]

Answer:

The statements that can be made about the parabola are;

The parabola opens towards the right

The equation of the parabola is (y - 1)² = 16 × (x + 1)

The parabola has a vertex at (-1, 1)

Step-by-step explanation:

The given focus of the parabola is (3, 1)

The directrix of the parabola, x = -5

Therefore, from the location of the directrix (on the x-axis) and the location of the focus relative to the directrix towards the positive direction of the x-axis relative to the directrix, the parabola opens towards the left of the coordinate chart

The general equation of the focus = (h + p, k)

The general equation of the directrix, x = h - p

Comparing with the values of the focus and the directrix of the given parabola, we have;

(3, 1) = (h + p, k)

-5 = h - p

Therefore, we get;

k = 1

h + p = 3...(1)

h - p = -5...(2)

Adding equation (1) to equation (2) gives;

h + h + p - p = 3 + (-5)

2·h = -2

h = -2/2 = -1

h = -1

From equation (1), we get;

h + p = -1 + p = 3

∴ p = 3 + 1 = 4

p = 4

The vertex of the parabola, (h, k) = (-1, 1)

The equation of the parabola in the form (y - k)² = 4·p·(x - h) is therefore, presented as follows;

The equation of the parabola = (y - 1)² = 4 × 4 × (x - (-1))

(y - 1)² = 16 × (x - (-1))

The equation of the parabola is (y - 1)² = 16 × (x + 1).

Answer:

The maximum height of the rocket is 64 ft.

Step-by-step explanation:

The -t^2 term tells us that the graph of this function is a parabola that opens down.  The x-coordinate of the axis of symmetry is

        -b

x = -----------

       2a

which here is:

        -32

x = ------------ = 1

       2(-16)

The value of this function at t = 1 is

h(1) = -16(1)^2 + 32(1) + 48, or 64 ft

The maximum height of the rocket is 64 ft.

Answer:

x = √72 and yes, it forms a Pythagorean triple

Step-by-step explanation:

a^2 + b^2 = c^2,

3 is a, x is b, anf 9 is c

3^2 + x^2 = 9^2

9 + x^2 = 81

Subtract 9 from both sides

x^2 = 72

x = √72

a Pythagorean triple is a^2 + b^2 = c^2, and this has it

Answer:

X = 9.4

Step-by-step explanation:

Pythagorean Theorem:

Formula: a² + b² = c²

- A Pythagorean triple consists of any three positive integers.

Answer:

Vertical intercepts: (-2,pi/2) and (-10,pi/2)

Horizontal intercepts: (4,0) and (-4,0)

Step-by-step explanation:

I took the test and got it right.

The required horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).

In the equation intercept is the value of the linear function where either of the variables is zero.

To find the horizontal intercept(s) of the limacon, we need to set r equal to zero and solve for theta.

r = 4 - 6sin(Ф)

0 = 4 - 6sin(Ф)

6sin(Ф) = 4

sin(Ф) = 4/6

sin(Ф) = 2/3

We can use an inverse sine function to find the value of theta:

Ф= sin^-1(2/3)

Ф≈ 41.81° or 138.19°

These are the values of theta where the limacon crosses the x-axis (horizontal intercepts).

To find the vertical intercept(s), we need to set theta equal to zero or pi and solve for r.

When Ф= 0:

r = 4 - 6sin(0)

r = 4

So the limacon intercepts the y-axis at (0, 4).

When Ф= pi:

r = 4 - 6sin(pi)

r = 10

So the limacon intercepts the y-axis at (0, -10).

Therefore, the horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).

Learn more about intercept here:
https://brainly.com/question/3605446

#SPJ3

Answer:

After 74 minutes of driving, he still has 32.5 miles to his destination.

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

Now let's go to the question.

We know that the distance to his destination is a linear function of his total driving time.

We know that he has 55 miles to his destination after 44 minutes of driving. We can write this as the point (44 min, 55mi)

We know that he has 41.5 miles to his destination after 62 minutes of driving, we can write this as (62 min, 41.5mi)

Then the slope of this equation will be:

a = (41.5mi - 55mi)/(62min - 44min) = -0.75 mi/min.

Then the linear equation is something like:

y = (-0.75 mi/min)*x + b

to find the value of b we can use the fact that this line passes through the point (44 min, 55mi)

This means that when x = 44 min, we must have y = 55mi

Then:

55mi = (-0.75 mi/min)*44min + b

55mi + (0.75 mi/min)*44min = b

88mi  =  b

Then the equation is:

y = (-0.75 mi/min)*x + 88mi

Now we want to know how many miles will he have to his destination after 74 minutes of driving, then we need to replace x by 74 min.

y = (-0.75 mi/min)*74min + 88mi

y = 32.5mi

After 74 minutes of driving, he still has 32.5 miles to his destination.

Answer:

45 points

Step-by-step explanation:

Average= sun of all numbers/ no. of numbers

33= (23+35+27+48+18+35+x)/7

33= 186+x/7

33×7= 186+ x

231= 186+x

x= 231- 186

x= 45

Answer:

45 points, he scored 45 points in game 7

Step-by-step explanation:

Right now, the average, or mean, is (23 + 35 + 27 + 48 + 18 + 35)/6 = 31

The number plus 23 + 35 + 27 + 48 + 18 + 35 and then divided by 7 should equal 35, that number is 45

(23 + 35 + 27 + 48 + 18 + 35 + 45)/7 = 33 = 231/7 = 33 = 33 = 33

To find the mean, you add all the numbers and then divide it by the amount of numbers there.

Answer:

10 centenas de mil =  1000.000 unidades.

Step-by-step explanation:

Recordemos que 10 centenas es igual a 1000 unidades

Ahora, 10 centenas de mil seria un millon de unidades

Osea, 1000.000 unidades.

Espero te haya servido.

Answer:

$34.77

Step-by-step explanation:

Answer:

See the solutions below

Step-by-step explanation:

Initial Salary= $925

Final salary=  $1036

% increase= Change/initial *100

substitute

% increase= 1036-925/925 *100

% increase=111/925 *100

% increase=0.12 *100

% increase=12%

2. Let us find 16% of $925

=16/100*925

=0.16*925

=$148

Hence the salary would have been

=148+925

=$1073

Answer:

27

Step-by-step explanation:

looked on photomath

Answer:

C

Step-by-step explanation:

First check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{12}[/tex] and ([tex]\sqrt{12}[/tex] )² = 12

2² + ([tex]\sqrt{8}[/tex] )² = 4 + 8 = 12

Thus the triangle is right → C

Answer:

C.

Step-by-step explanation:

Squaring the numbers we get 2^2 = 4, 8 and 12.

Lets look at the relation between  4 8 and 12:-

12 = 4 + 8

- so it obeys the Pythagoras theorem.

It is a right triangle and the answer is C.

Answer:

coloquei a letra d- II, III e IV

Step-by-step explanation:

Answer:

é a letra D (II, III e IV)

Step-by-step explanation:

se você reparar no ângulo interno da figura do octógono está mostrando 135º e a primeira figura que no caso não encaixa mostra 60º, fazendo essa soma daria um total de 195º, o que passa de 180º que é a metade de uma circunferência, então não daria certo, ficaria uma parte sobrando, não se encaixando no mosaico.

Answer:

1 answer is 1

2 answer is -1

3rd answer is 2pi

From the diagram, we can tell that the maximum height that is reached by the barnacle is 1m.

The Barnacle is going around the water level in the shape of a circle which the water level being the diameter.

This means that the maximum height the barnacle can reach is constricted by the radius such that it is the same as the radius of the circle. This means that the maximum height is 1m.

Find out more on the height of the barnacle at https://brainly.com/question/10417429.

Answer: 5

Step-by-step explanation:

.