A penguin at the zoo dives into the pool and its path is modeled by the equation: \large h\left(t\right)=t^2-6t, where h(t) is the penguin's depth, in feet, and t is the time, in seconds, since the penguin start of the dive. Find the value of h(2) . Which of these sentences best represents the meaning of this point in the context of this question?

a
6 seconds after the penguin dives in, it is 2 feet below the surface.
b
2 seconds after the penguin dives in, it is 8 feet below the surface.
c
8 seconds after the penguin dives in, it is 2 feet below the surface.
d
2 seconds after the penguin dives in, it is 6 feet below the surface.

Answer:

Acute angle

Step-by-step explanation:

Answer:

34° angle is an acute angle

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

brainly.com/question/11990585

Answer:

c

Step-by-step explanation:

c is the best

Answer:

60=x+23(opposite angle of parallelogram are equal)

60-23=x

x=37 is answer.

well if that's in a math problem then its division. Because you are sharing equally.

Answer:

1<x<4

Step-by-step explanation:

9<2x+7<15

9+−7<2x+7+−7<15+−7(Add -7 to all parts)

2<2x<8

2 /2 < 2x /2 /< 8 /2  (Divide all parts by 2)

1<x<4

D.kite

youre welcome hihihi

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

Answer:

There is a dilation and the scale factor is 4

Step-by-step explanation:

The details that complete the question are:

△ABC

A(2, 5), B(6, 10), C(9, −1)

△A′B′C′

A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)

Checking if there is dilation or not

To do this, we make use of the following scale factor (k) formula:

[tex]k = \frac{Original}{Image}[/tex]

Using A and A'

[tex]k = \frac{A}{A'}[/tex]

[tex]k = \frac{(2,5)}{(0.5,1.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4*\frac{(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using B and B'

[tex]k = \frac{B}{B'}[/tex]

[tex]k = \frac{(6,10)}{(1.5, 2.5)}[/tex]

Factorize the numerator

[tex]k = \frac{4(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4*\frac{(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using C and C'

[tex]k = \frac{C}{C'}[/tex]

[tex]k = \frac{(9, -1)}{(2.25, -0.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

The above shows that k is 4 in all cases.

Hence, there is a dilation and the scale factor is 4

Answer:

i love math

The ans is in the picture and the steps how i got it

(hope this helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

.88c                       22/25c

Step-by-step explanation:

yup

Answer:

.88c                   22/25c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

ano ba gagawin

parang Ang Dali pero ano gagawin dyan

Hi there!

For this problem, pretty much add all of them and then subtract with 22 to find how much Jen ran on Friday.

Monday+Tuesday+Wednesday+Thursday:

Simplify all terms and find all common denominators:

Common denominator: 8

[tex]4 \frac{3}{4} = 4 \frac{6}{8}[/tex]

[tex]5 \frac{1}{8} = 5 \frac{1}{8}[/tex]

[tex]6 \frac{1}{4} = 6 \frac{2}{8}[/tex]

Combine all terms:

[tex]4 \frac{6}{8} + 5 \frac{1}{8} + 6 \frac{2}{8} = 15 \frac{9}{8}[/tex]

Simplify 15 9/8 or else can’t subtract with 22.

[tex]9/8 = 1 \frac{1}{8}[/tex]

[tex]15 + 1 \frac{1}{8} = 16 \frac{1}{8}[/tex]

Turn 22 into 21 8/8...

Subtract: 21 8/8 with 16 1/8

[tex]21 \frac{1}{8} - 16 \frac{1}{8} = 5 \frac{7}{8}[/tex]

This means that 5 7/8 is how much mile Jen must run on Friday to reach her goal.

Answer:

44

Step-by-step explanation:

12+12+7+(5^2+12^2).

5^2=25

12^2=144

144+25=169

The square root of 169 is 13.

Add all numbers together:

12+12+7+13=44

P=44.

Answer:

1

Step-by-step explanation:

Answer:

$0.33 per ball

Step-by-step explanation:

haha we meet again.

Divide 1.33 by 4

1.33/4=0.3325

Round to the nearest tenth

0.33

Step-by-step explanation:

This is oddly worded I understand. They are asking for the relationship between x and y. Your equation will start with y= You will need to form your equation in a way that will tell you how to find y in relation to x at any given term. I want you to learn and grow so i will just give an example. Take y=x-2 this would mean that y equals whatever x-2 is. If x were to equal 13, y would equal 11 because 13 minus 2 is 11. I hope this helps. I didnt want to give it all away because I wanted you to feel accomplished

Answer:

d

Step-by-step explanation:

Answer:

use photomath

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

the answer is D your welcome lol

Step-by-step explanation:

lol

Answer:

Step-by-step explanation:

(-2,0) and (8,0) are horizontally aligned, so the ellipse is horizontal.

The equation of the ellipse is: [tex](x + 2)^2 / 16 + y^2 = 1.[/tex]To find the equation of the ellipse with the given information, we need to determine the major axis length and the equation's standard form.

The center of the ellipse is (-2, 0), and one vertex is at (8, 0). This means that the major axis is along the x-axis, and its length is equal to the distance between the center and the vertex, which is 8 units.

The minor axis length is given as 2 units. Since the minor axis is perpendicular to the major axis, it corresponds to the y-axis.

The standard form equation of an ellipse with a horizontal major axis is:

[tex]((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1,[/tex]

where (h, k) represents the center of the ellipse, and a and b are the semi-major and semi-minor axes' lengths, respectively.

Plugging in the given information, we have:

Center: (h, k) = (-2, 0)

Semi-major axis length: a = 8 / 2 = 4

Semi-minor axis length: b = 2 / 2 = 1

Substituting these values into the standard form equation, we get:

[tex]((x + 2)^2 / 4^2) + (y^2 / 1^2) = 1[/tex]

Simplifying:

[tex](x + 2)^2 / 16 + y^2 = 1[/tex]

To know more about ellipse:

https://brainly.com/question/20393030

#SPJ2

Answer:

[(3, 4, 5, 6, 8)]  

Step-by-step explanation:

The x-values are the first value of each point

Answer:

(8,8)

Step-by-step explanation:

The first equation says y and x are the same, so any x in the second equation can be replaced with a y, so

y = 2x - 8 and y = x, substituting x for y gives

x = 2x -8, subtract x from each side, add 8 to each side, get

8 = x

substitute that value back into the first equation

y = x, x= 8, so y=8

Answer:

5/6 se eu não me engano.

Step-by-step explanation:

ajudareroesp

Answer: The last option, or D

Step-by-step explanation:

35x−35y+21

Answer:

3.02

x 10

-------

000

+302x

______

30.20