State if the triangle is acute, obtuse, or right. ​

20

There are two ways to solve this (both will end up with the same answer):

1st way:

You can find 4/9 of 36 to find how many displays the class explored so far. You can write it as 4/9 x 36, which is equal to 16. So, the class explored 16 displays so far. All you need to do is subtract 16 from 36 to find how many displays the class needs to explore, which can be written as 36-16, and is equal to 20.

Final answer: 20

2nd way:

You can do 1 minus 4/9 to find the left over fraction of the displays that the class needs to explore, which is equal to 5/9. Then, you need to find 5/9 of 36 to find how many displays are left for the class to explore. You can write it as 5/9 x 36, which is equal to 20.

Final answer: 20

Hope you understand and that this helps with your question :)

Answer:

Can give you the example then you have to figure out.

Step-by-step explanation:

We are assuming the center of the tower is at the origin, so we can use the standard form of a horizontal hyperbola centered at the origin: \displaystyle \frac{{x}^{2}}{{a}^{2}}-\frac{{y}^{2}}{{b}^{2}}=1

​a

​2

​​  

​

​x

​2

​​  

​​ −

​b

​2

​​  

​

​y

​2

​​  

​​ =1, where the branches of the hyperbola form the sides of the cooling tower. We must find the values of \displaystyle {a}^{2}a

​2

​​  and \displaystyle {b}^{2}b

​2

​​  to complete the model.

First, we find \displaystyle {a}^{2}a

​2

​​ . Recall that the length of the transverse axis of a hyperbola is \displaystyle 2a2a. This length is represented by the distance where the sides are closest, which is given as \displaystyle \text{ }65.3\text{ } 65.3  meters. So, \displaystyle 2a=602a=60. Therefore, \displaystyle a=30a=30 and \displaystyle {a}^{2}=900a

​2

​​ =900.

To solve for \displaystyle {b}^{2}b

​2

​​ , we need to substitute for \displaystyle xx and \displaystyle yy in our equation using a known point. To do this, we can use the dimensions of the tower to find some point \displaystyle \left(x,y\right)(x,y) that lies on the hyperbola. We will use the top right corner of the tower to represent that point. Since the y-axis bisects the tower, our x-value can be represented by the radius of the top, or 36 meters. The y-value is represented by the distance from the origin to the top, which is given as 79.6 meters. Therefore,

x

2

a

2

−

y

2

b

2

=

1

Standard form of horizontal hyperbola

.

b

2

=

y

2

x

2

a

2

−

1

Isolate  

b

2

=

(

79.6

)

2

(

36

)

2

900

−

1

Substitute for  

a

2

,

x

,

and  

y

≈

14400.3636

Round to four decimal places

The sides of the tower can be modeled by the hyperbolic equation

\displaystyle \frac{{x}^{2}}{900}-\frac{{y}^{2}}{14400.3636 }=1,\text{or}\frac{{x}^{2}}{{30}^{2}}-\frac{{y}^{2}}{{120.0015}^{2} }=1

​900

​

​x

​2

​​  

​​ −

​14400.3636

​

​y

​2

​​  

​​ =1,or

​30

​2

​​  

​

​x

​2

​​  

​​ −

​120.0015

​2

​​  

​

​y

​2

​​  

​​ =1

The shape of hyperbolic cooling tower is a conic section that can be described with a formula equation.

a = 28.5, b ≈ 52.65

[tex]Equation \ of \ hyperbola;\ \dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1[/tex]

Reasons:

The parameters of the hyperbolic cooling tower are;

Minimum diameter = 57 feet

The height at which the diameter occurs = 155 ft.

The diameter of the tower = 175 feet

Total height of the tower = 200 feet

Height at which the center of the hyperbola occurs = 155 feet

Solution:

The equation of a hyperbola is; [tex]\dfrac{(x - h)^2}{a^2} - \dfrac{(y- k)^2}{b^2} = 1[/tex]

The center of the hyperbola = (0, 155)

[tex]a = \dfrac{57}{2} = 28.5[/tex]

At y = 155,  

Therefore;

[tex]\dfrac{x^2}{28.5^2} - \dfrac{(y -155)^2}{b^2} = 1[/tex]

At y = 200 feet [tex]x = \dfrac{75 \ feet}{2} = 37.5 \ feet[/tex]

Therefore;

[tex]\dfrac{37.5^2}{28.5^2} - \dfrac{(200 -155)^2}{b^2} = 1[/tex]

b² = 2769.0340909

b ≈ 52.62

The equation of the hyperbola is therefore;

[tex]\dfrac{x^2}{28.5^2} - \dfrac{(y-155)^2}{56.62^2} = 1[/tex]

Learn more here:

https://brainly.com/question/3351710

Answer:

Yes, that's right:  the cross section will be a rectangle (but also a parallelogram).

Step-by-step explanation:

Answer:

1000000000000000005

Answer:

1000000000000005

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex]Length = 450\ m[/tex]

[tex]Width = 1200\ m[/tex]

Required

Determine the number of hectares  in this dimension

First, we need to calculate the area of the land

[tex]Area = Length * Width[/tex]

[tex]Area = 450m * 1200dm[/tex]

Convert dm to m

[tex]Area = 450m * 120m[/tex]

[tex]Area = 54 000 m^2[/tex]

[tex]1 hectare = 0.0001m^2[/tex]

So, we have:

[tex]1\ hectare = 0.0001m^2[/tex]

Multiply by 54000

[tex]Hectare = 0.0001 * 54000[/tex]

[tex]Hectare = 5.4[/tex]

Hence, there are 5.4 hectares

Answer:

the last one is an increase of $.22

Step-by-step explanation:

the last one is an increase of $.22

Answer: 16

Step-by-step explanation:

All you have to do is plug 3.2 into the expression. So 5 * 3.2  is 16.

Answer: 1/12

Step-by-step explanation:

Answer:

try b

Step-by-step explanation:

Answer:

The answer is A. g(x) = f(x) + 4

Answer:

The first four terms of the sequence are: {-10,-23,-62,-179}

Step-by-step explanation:

Given recursive formula is:

[tex]a_n = 3a_{n-1}+7[/tex]

First term = a1 = -10

The first term is already known. In order to find the next terms, we will put n=2,3,4 in the recursive formula.

Putting n=2

[tex]a_2 = 3a_{2-1}+7\\a_2 = 3a_1+7\\a_2 = 3(-10)+7\\a_2 = -30+7\\a_2 = -23[/tex]

Putting n=3

[tex]a_3 = 3a_{3-1}+7\\a_3 = 3a_2+7\\a_3 = 3(-23)+7\\a_3 = -69+7\\a_3 = -62[/tex]

Putting n=4

[tex]a_4 = 3a_{4-1}+7\\a_4 = 3a_3+7\\a_4 = 3(-62)+7\\a_4 = -186+7\\a_4 = -179[/tex]

Hence,

The first four terms of the sequence are: {-10,-23,-62,-179}

Answer:

C. Supplementary angles

Step-by-step explanation:

Supplementary angles always equal 180 degrees.

The answer is (C) because, the sum of both the angle is equals to 180° i.e they are pair of supplementary angles.

Answer:

A

Step-by-step explanation:

Hope I helped

Answer:

The answer is A, $11.60

Step-by-step explanation:

0.66=spent 9 minutes

0.66x9=5.94

5.94+5.66=$11.60

Btw, luv ur profile pic uwu!

Answer:

y = 8x + 13

Step-by-step explanation:

slope-intercept form: y = mx + b

Given equation: [tex]y = -\frac{1}{8}x -2[/tex]

Second equation: unknown

Slope: unknown

Given point: (-2, -3)

When two lines are perpendicular, their slopes are negative reciprocals. So, since the slope(m) of the given line is [tex]-\frac{1}{8}[/tex], the slope of the line perpendicular to it is 8.

Now we know the slope of the line. To find the y-intercept, input the values of the slope and the given point into the equation format and solve for b:

y = mx + b

-3 = 8(-2) + b

-3 = -16 + b

13 = b

The y-intercept is 13.

Now that we know the slope and the y-intercept, we can write the equation:

y = 8x + 13

Hope this helps :)

Answer:

i don`t understand you

Step-by-step explanation:

but i think i phone...?

Answer:

ummm there is no other context did you mean to post a picture? All I could find was this

The Apple User Group Connection (AUGC) was established in 1985 by Apple and led by Apple employee Ellen Petry Leanse.

Answer: 12 1/3

hope this helps.. stay safe and have a great day

Step-by-step explanation:

The first option is correct.

if we multiply the 34 and 12 so it comes 408

And according to first option, it we add 340 and 68 so it comes 408.

Learn more: brainly.com/question/16911495

Divide 4 wholes by 2/3 pieces to fnd number of pieces.

4 / 2/3

When you divide by a fraction, flip the fraction over then multiply:

4 x 3/2 = (4 x 3)/2 = 12/2 = 6

There are 6 pieces.

Answer:

6

Step-by-step explanation:

lets put this in terms of 3, because of 2/3. the number above the three will be divided by three to get to four. So if we multiply three by four to get twelve, we can put that over 3, and then find our answer. 12/3=4, so we know that is correct. and since we need to find how many 2/3 pieces we need, we divide 12/3 by 2/3 to get 6. so you need 6 2/3 pieces to get four wholes.

Answer:

a

Step-by-step explanation:

:P

Answer:

y=2

Step-by-step explanation:

y = 26

If you substitute x for -3 in the equation y = 6x + 8, your equation becomes:

y = 6(-3) + 8 now you can simplify it and solve for y

6 x -3 = -18

18 + 8 = 26

y = 26

Answer: 4,405.66

Step-by-step explanation:

Add all the amounts together.

Answer:

Ai. Common ratio = 2/3

Aii. First term = 54

B. Sum of the first five terms = 422/3

Step-by-step explanation:

From the question given above, the following data were obtained:

3rd term (T3) = 24

6Th term (T6) = 64/9

First term (a) =?

Common ratio (r) =?

Sum of the first five terms​ (S5) =?

Ai. Determination of the common ratio (r).

T3 = ar²

T3 = 24

24 = ar²....... (1)

T6 = ar⁵

T6 = 64/9

64/9 = ar⁵......... (2)

The equation are:

24 = ar²....... (1)

64/9 = ar⁵......... (2)

Divide equation 2 by equation 1.

64/9 ÷ 24 = ar⁵ / ar²

64/9 × 1/24 = r³

8/27 = r³

Take the cube root of both side

r = 3√(8/27)

r = 2/3

Thus, the common ratio is 2/3

Aii. Determination of the first term (a).

T3 = ar²

3rd term (T3) = 24

Common ratio (r) = 2/3

First term (a) =?

24 = a(2/3)²

24 = 4a/9

Cross multiply

24 × 9 = 4a

216 = 4a

Divide both side by 4

a = 216/4

a = 54

Thus, the first term (a) is 54

B. Determination of the sum of the first five terms.

Common ratio (r) = 2/3

First term (a) = 54

Number of term (n) = 5

Sum of first five terms (S5) =?

Sn = a[1 –rⁿ] / 1 – r

S5 = 54[1 – (⅔)⁵] / 1 – ⅔

S5 = 54 [1 – 32/243] / ⅓

S5 = 54 (211/243) × 3

S5 = 54 × 211/81

S5 = 6 × 211/9

S5 = 2 × 211/3

S5 = 422/3

Thus, the sum of the first five terms is 422/3

Answer:

$22.5

Step-by-step explanation:

10 kg=$4.50

50kg = x

(do cross multiplication)

10x =225

x=$22.5

Answer:

25

Step-by-step explanation:

trust me it's right it might be easier if you use paoer

Answer:

no you scam me if I see what is promises I will help you

Answer:

ez pts tysm

Step-by-step explanation:

The probability that a randomly selected camper likes to have a cookout or swimming, but not both, is 0.10.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

The Venn diagram displays the campers’ preferences.

One circle is labeled S, 0.06,

the other circle is labeled C, 0.04,

the shared area is labeled 0.89,

and the outside area is labeled 0.01.

The probability that a randomly selected camper likes to have a cookout or swimming, but not both,

= 0.06 + 0.04

= 0.10

Therefore, 0.10 is the required probability.

To learn more about the probability;

brainly.com/question/11234923

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