What is the area of this figure? Write your answer using decimals, if necessary.

Answer:

y = 8/3(x) + 9

Step-by-step explanation:

The general equation of a straight line is slope intercept form is;

y = mx + b

where m is the slope and b is the y-intercept

To get the slope, we use the slope equation

we have this as:

m = (y2-y1)/(x2-x1)

(x1,y1) = (-6,-7)

(x2,y2) = (-3,1)

m = (1+7)/(-3 + 6) = 8/3

so we have the equation as;

y = 8/3(x) + b

to get the value of b, we make use of any of the two points

We substitute the coordinates of the two points into the equation

Let us use the point (-3,1)

Thus;

1 = 8/3(-3) + b

1 = -8 + b

b = 1 + 8

b = 9

So the full equation is;

y = 8/3(x) + 9

Answer:

There are 35 students in the class

Step-by-step explanation:

We would divide 21 by 60%

21/0.6 = 35 students.

Answer:

35 students are in the class

Step-by-step explanation:

21/x 60/100

cross multiply so you will get

2100 = 60x

divide each side by 60x

2100/60 = 35

21 students out of 35

Answer:

I think it's either Wednesday or Sunday.

Step-by-step explanation:

Answer: the answer is d Wednesday.

Step-by-step explanation:

hope this helped ya bro! have a good day! :)

Answer:

18% of 52.2

18/100 of 52.2

=9.396b

Answer:

4

Step-by-step explanation:

12 ÷ 2 which is 6 then 6-2 which is 4

Answer:

The rocket will hit the floor at 9.57 seconds

Step-by-step explanation:

Given

[tex]G(x) = -16x^2 + 150x + 30[/tex]

Take off height = 30ft

Initial velocity= 150ft/s

Required [Missing from the question]

Time to hit the ground

The rocket will hit the ground at:

[tex]G(x) = 0[/tex]

So, we have:

[tex]0 = -16x^2 + 150x + 30[/tex]

Rewrite as:

[tex]16x^2 - 150x - 30=0[/tex]

Solve using quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where:

[tex]a= 16\\ b = -150\\ c = -30[/tex]

So, we have:

[tex]x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}[/tex]

[tex]x = \frac{150 \± \sqrt{22500 +1920}}{32}[/tex]

[tex]x = \frac{150 \± \sqrt{24420}}{32}[/tex]

[tex]x = \frac{150 \± 156.27}{32}[/tex]

Split:

[tex]x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}[/tex]

[tex]x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}[/tex]

Time cannot be negative;

So:

[tex]x = \frac{306.27}{32}[/tex]

[tex]x = 9.57[/tex]

Hence, the rocket will hit the floor at 9.57 seconds

Answer:

Option C.

Step-by-step explanation:

We know that for two vectors:

A = 〈a₁, a₂, a₃ 〉and  B =〈b₁, b₂, b₃〉.

The dot product between A and B is:

A.B = IAI*IBI*cos(θ)

Where θ is the angle between the vectors.

And the dot product can be also written as:

A.B = a₁*b₁ + a₂*b₂ + a₃*b₃

With that, we can find the angle between our vectors.

In this case, the vectors are:

A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉

The modules are:

IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78

IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31

And the dot product between A and B is:

A.B = 6*8 + (-3)*9 + 1*(-11) = 10

Then we have that:

10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)

10/(6.78*16.31) = cos(θ)

Now remember the inverse cosine function, Acos(x), this function has the property:

Acos(cos(x)) = x

If we apply this to both sides, we get:

Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°

The correct option is C.

Answer:

y=mx-c

Step-by-step explanation:

follow to explain

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

The evidence is the statement made in the document where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Step-by-step explanation:

The document has been attached. It was from the march by gandhi's followers to the dharasana salt works.

From the document attached, the evidence that they were disciplined is where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Answer:

그 기 = That Flag

키 = Key

I think it is 112.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

this is because it does not follow the pythogras theorem which states that a^2+b^2=c^2

Answer:

50.27

Step-by-step explanation:

Give me Brainllest

Answer:

C. 5 units

Step-by-step explanation:

look at the graph to the left

this seems too easy so I'm probably wrong but thats how I read the question

O valor de f(-4) é a opção  D

Answer:

3.625

Step-by-step explanation:

ur welcome!

(a) v appears to have a fixed direction along the positive x-axis. If ||u|| = 150 N, ||v|| = 220 N, then when θ = 30°, you have

u = (150 N) (cos(30°) i + sin(30°) j ) ≈ (129.904 i + 75 j ) N

v = (220 N) (cos(0°) i + sin(0°) j ) = (220 i ) N

(i and j are the unit vectors in the positive x and y directions)

and their sum is

u + v ≈ (349.904 i + 75 j ) N

with magnitude

||u + v|| ≈ √((349.904)² + (75)²) N ≈ 357.851 N ≈ 357.9 N

and at angle φ made with the positive x-axis such that

tan(φ) ≈ (75 N) / (349.904 N)   →   φ ≈ 12.098° ≈ 12.1°

(b) Letting θ vary from 0° to 180° would make v a function of θ :

u = (150 N) (cos(θ) i + sin(θ) j ) = (150 cos(θ) i + 150 sin(θ) j ) N

Then

u + v = ((220 + 150 cos(θ)) i + (150 sin(θ)) j ) N

→   M = ||u + v|| = √((220 + 150 cos(θ))² + (150 sin(θ))²) N

M = √(48,400 + 66,000 cos(θ) + 22,500 cos²(θ) + 22,500 sin²(θ)) N

M = 10 √(709 + 660 cos(θ)) N

(c) As a function of θ, u + v makes an angle α with the positive x-axis such that

tan(α) = (150 sin(θ) / (220 + 150 cos(θ))

→   α = tan⁻¹((15 sin(θ) / (22 + 15 cos(θ)))

(d) Filling in the table is just a matter of evaluating M and α for each of the given angles θ. For example, when θ = 0°,

M = 10 √(709 + 660 cos(0°)) N = 370 N

α = tan⁻¹((15 sin(0°) / (22 + 15 cos(0°))) = 0°

When θ = 30°, you get the same result as in part (a).

When θ = 60°,

M = 10 √(709 + 660 cos(60°)) N ≈ 323.3 N

α = tan⁻¹((15 sin(60°) / (22 + 15 cos(60°))) = 23.8°

and so on.

Answer:

A)

this is a corect answer for this question:)

Answer:[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{50}[/tex] ==>

2x25 ==> El 25 lo puedes reducir más ==> 5x5

Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.

Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.

Resultado:

[tex]5\sqrt{2}[/tex]

Answer:

x = 1.5, y = 2

Step-by-step explanation:

Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.

En este caso, tenemos las líneas:

y = 4*x - 4

2*x + y = 5

El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.

Para ello, aislamos y en ambas ecuaciones:

y = 4*x - 4

y = 5 - 2*x

Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.

Un gráfico de este sistema se puede ver abajo:

Viendo el gráfico, podemos estimar que la solución del sistema es el punto:

(1.5, 2)

Es decir, la solución es:

x = 1.5

y = 2

Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.

Para ello escribimos el sistema:

y = 4*x - 4

y = 5 - 2*x

Como y esta aislada en ambas ecuaciones, tendremos:

4*x - 4 = y = 5 - 2*x

4*x - 4 = 5 - 2*x

Ahora podemos resolver esto para x.

4*x + 2*x = 5 + 4

6*x = 9

x = 9/6 = 3/2 = 1.5

Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:

y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2

Así probamos analíticamente que la solución es x = 1.5, y = 2.

Answer:

9:8

Step-by-step explanation:

According to the word problem, Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes.

The question is asking the ratio of Joe's frogs AND snakes TO hamsters.

To find out the ratio of frogs and snakes, add how many frogs there are to how many snakes there are.

6 + 3 = 9.

The last part of the equation should be obvious.

There are 8 hamsters.

Therefore, the ratio of Joe's frogs and snakes to hamsters is 9:8.

Answer:

368 cups

Step-by-step explanation:

16 cups in a gallon

Multiply 16 by the 23 gallons

Receive the answer of 368

Hope this helps

Answer: 368

Step-by-step explanation:

1 US liquid gallon = 16 US cups

Multiply 16 times 23 to get 368

Answer:

are you in 8B

Step-by-step explanation:

Answer:

x=45°

Step-by-step explanation:

180-90=90

Hence, there is 2 x so 90/2=45

Answer:

x = 45°

Step-by-step explanation:

here's your solution

=> we know that sum of all angles of traingle = 180°

=> x° + x° + 90° = 180°

=> 2x + 90° = 180°

=> 2x = 180° - 90°

=> 2x = 90°

=> x = 90°/2

=> x = 45°

hope it helps

Answer:

D. 48 cm

Step-by-step explanation:

Cylinder Volume:

V=πr^2h

V≈452.39

Cone Volume:

V=πr^2(h/3)

452.39 = pi(3)^2(h/3)

452.39 = pi x 9 x (h/3)

452.39 = 28.26 x (h/3)

/28.26      /28.26

16.008138712 = (h/3)

x 3                      x 3

h = 48.0244161359

h = 48 cm

Answer: 2

4

−

3

3

+

7

2

−

4

Step-by-step explanation:

Answer:  -17

Step-by-step explanation:

2*-2^4-3*-2^3+2*-2^2-4-2+5= ?

2*-16-3*-8+2*-4-4-2+5 = ?

-32+24-8-4-2+5

-8-12+3

-20+3

-17

:>

Answer:

The vertex is (-2,5). And the y intercept of the graph is (0,-7)

Step-by-step explanation: