Help!! Pythagorean theorem

Answer:

.9x 6.2= $5.58

.............

Answer:

x=8 x=16

Step-by-step explanation:

Given function:

Thinks:

Rewrite as:

Thereform, x=8 and x=16.

Given:

The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).

To find:

Whether GL and BH are parallel or not by using their slopes.

Solution:

If a line passes through the two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the slope formula, the slope of GL is

[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]

[tex]m_1=\dfrac{-7}{-1+2}[/tex]

[tex]m_1=\dfrac{-7}{1}[/tex]

[tex]m_1=-7[/tex]

Using the slope formula, the slope of BH is

[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]

[tex]m_2=\dfrac{-5}{1+4}[/tex]

[tex]m_2=\dfrac{-5}{5}[/tex]

[tex]m_2=-1[/tex]

We know that slopes of parallel lines are always equal.

The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.

Answer:

Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume.

Answer:

√13

Yes you are right

Step-by-step explanation:

The law of cos again

BC^2 = 18 + 25 - 2 * 3√2 * 5 cos(45 degrees)

= 13

==>

BC = √13

Answer:

yes the answer is correct

Answer:

[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min

Step-by-step explanation:

The mass flow rate dA(t)/dt = mass flowing in - mass flowing out

Since water is pumped in at a rate of 3 L/min, and it contains no salt, the concentration in is thus 0 g/L. the mass flow in is thus 0 g/L × 3 L/min = 0 g/min.

Let A(t) be the mass present at any time, t. The concentration at any time ,t is thus A(t)/volume = A(t)/210. Since water flows out at a rate of 3 L/min, the mass flow out is thus, A(t)/210 g/L × 3 L/min = A(t)/70 g/min.

So, dA(t)/dt = mass flowing in - mass flowing out

dA(t)/dt = 0 g/min - A(t)/70 g/min

dA(t)/dt =  - A(t)/70 g/min

 Since the tank initially contains 30 g of salt, the initial mass of salt in the tank is 30 g. So A(0) = 30

So, the initial value problem is thus  

dA(t)/dt =  - A(t)/70 , A(0) = 30

Separating the variables, we have

dA(t)/A(t) = -dt/70

Integrating both sides, we have

∫dA(t)/A(t) = ∫-dt/70

㏑A(t) = -t/70 + C

taking exponents of both sides, we have

A(t) = exp(-t/70 + C)

A(t) = exp(-t/70)expC

[tex]A(t) = e^{-t/70}e^{C}\\A(t) = Ce^{-t/70} whereC = e^{C}[/tex]

A(0) = 30, So

[tex]A(0) = Ce^{-0/70}\\30 = Ce^{0}\\C = 30[/tex]

[tex]A(t) = 30e^{-t/70}[/tex]

The rate at which the number of grams of salt in the tank is changing at time t is

[tex]dA(t)/dt = \frac{d30e^{-t/70} }{dt} \\dA(t)/dt = -\frac{30e^{-t/70} }{70}\\dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex]

So, the rate at which the number of grams of salt in the tank is changing at time t is

[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min

Answer:

1st, third and last options are correct answers

Step-by-step explanation:

e + 3 + e + 3

2e + 6

2(e + 3)

I think 710 is the answer

266+266+89+89= 710

1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg

He used 7/27 kg of sugar.

2y

Step-by-step explanation:

16y^5-3/4)

16y²/4)

4y²)1/2

2y

Answer:

110.1

Step-by-step explanation:

Answer:

139

Step-by-step explanation:

x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3

= 9 + 125 + 5

= 139!

Answer:

0.2308 = 23.08% probability that this person made a day visit

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Visitor made a purchase

Event B: Made a day visit

Probability that a visitor made a purchase:

30% of 20%(day visitors)

10% of 50%(one-night)

50% of 30%(two-night)

So

[tex]P(A) = 0.3*0.2 + 0.1*0.5 + 0.5*0.3 = 0.26[/tex]

Probability of a purchase with a day visit:

30% of 20%. So

[tex]P(A \cap B) = 0.3*0.2 = 0.06[/tex]

How likely is it that this person made a day visit?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.26} = 0.2308[/tex]

0.2308 = 23.08% probability that this person made a day visit

Answer:

y = 18

a = -2

Step-by-step explanation:

Hello There!

For the first one we need to create an equation to solve for y

23+7=y+12

30=y+12

isolate the variable using inverse operations

subtract 12 from each side

30-12=18

we're left with y = 18

for the second one we need to create an equation to solve for a

3+15+a=8+8+8

3+15=18

8+8+8=16

16=18+a

step 1 subtract each side by 18

16-18=-2

we're left with a = -2

Answer:

1,050

Step-by-step explanation:

3.5x

12x

25

=

1,050

Answer:

13

Step-by-step explanation:

5²+12²=c²

25+144=c²

169=c²

c=√169

c=13

Answer:

72 cm²

Step-by-step explanation:

Given:

m<ABC = 44°

x = 16 cm

y = 13 cm

Required:

Area of the triangle

Solution:

Formula for finding area of a triangle using the Side-Angle-Side method is given as:

Area = ½*ab*sin C

where,

a = 16

b = 13

C = 44°

Plug in the values

Area = ½(16*13)*sin 44

Area = 72.2444705 ≈ 72 cm²

Answer: .012

Step-by-step explanation: 6*2 is 12, and you can simply use the number of decimal points on the smaller term to get .012

Answer:

should be .12

Step-by-step explanation:

.06 multiplied by 2 is .12

Answer:

34.4

Step-by-step explanation:

(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4

Answer:

the three consecutive numbers are 14, 15, 16

Answer:

Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help

Step-by-step explanation:

x + (x + 1) + (x + 2) = 45

x + x + 1 + x + 2 = 45

3x + 3 = 45

3x = 42

x = 14

Now that we know x = 14, let's add one to it.

x + 1 = 14 + 1 = 15.

Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!

Answer:

9,-7 hope this helps :))))))))

Answer:

8.66

Step-by-step explanation:

If it helps, volume is LENGTH x WIDTH x HEIGHT, and for a triangular prism, each side is the same. :)

Answer:Ok Don't freak out What do you need help with

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

25 / ( 12-7)  = 25 / 5 = 5

I hope im right!!

Answer:

I think it's C im not certain

Answer:

72.8

Step-by-step explanation:

16 is 8 times 2. 36.4 times 2 would be 72.8

Answer:

1st one: 16

2nd one: 16

3rd one: 64

4th one: 27

5th one: 1000

Step-by-step explanation:

Have a great day