Need help with these

Answer:

Use pythogoras theorem

a^2+b^2=c^2

x^2=c^2-a^2

x^2=15^2-12^2

x^2=81

x= square root of 81

x=9

Step-by-step explanation:

Answer:

We are given

We are also given  and , which allows us to rewrite the equation as

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

The required measure of side a of the rectangular prism is a = 9.3 meters.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3

Since the negative measure of length can be neglected.
a = 9.3 = b

Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.

Learn more about the surface area here: https://brainly.com/question/2835293

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Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

Answer:

divide the numerator by the denominator

Answer:

Step-by-step explanation:

1.80 + 1.05 = 2.85

3.00 - 2.85 = .15 inches

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

Answer:

it should be 0.000307

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]

[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]

[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]

[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]

hope it helps:)

Answer:

ummmm 5 ..............

Answer:

Step-by-step explanation:

None of them

Step-by-step explanation:

given

a = - 3

3a² = 3 * ( -3) ²

= 3 * 9

= 27

The value of 3a² is 27.

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

Answer:

Total cost to conduct survey = $2075

Step-by-step explanation:

Given that:

Number of questions on survey = 15

Number of people = 500

Base fee = $1000

Per question charge = $5

Per person surveyed = $2

Let,

q be the number of questions

p be the number of people

Total cost = Base fee + 5q + 2p

Total cost = 1000 + 5(15) + 2(500)

Total cost = 1000 + 75 + 1000

Total cost = $2075

Hence,

Total cost to conduct survey = $2075

Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Step-by-step explanation:

Soln

given,

from the figure

coordinate of B is (5,3),

A(7,0) and C(0,4)

A. solution

let, M(x,y) be the mid point of AB

A(7,0) = (x1,y1)

B(5,3) = (x2,y2)

we know

x = (x2+x1)/2

or, x = (5+7)/2

or, x = 12/2

or, x = 6

and for y

y = (y2+y1)/2

or, y = (3+0)/2

or, y = 3/2

therefore M(x,y) = (6,3/2)

B. solution

let,

C(0,4) = (x1,y1)

B(5,3) = (x2,y2)

equation of line is ;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)

or, (y - 4)/(x - 0) = -1 / 5

by cross multiply

or, 5×(y - 4) = -1×(x)

or, 5y - 20 = -x

or, x + 5y = 20 is the required equation.

Answer:

Angle Y < Angle Z

Step-by-step explanation:

Answer:

angle X < angle Y

Step-by-step explanation:

........

Answer:

X-Intercept: [tex]x=-\frac{5}{2}y[/tex]

Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]

Step-by-step explanation:

X-Intercept-

2x+5y=0     - Move the variable to the right-hand side and change its sign

2x=-5y     - Divide both side of the equation by 2

x=-5/27     - Write the solution x in parametric form

x=-5/2y, y∈R

Y-Intercept-

2x+5y=0    - Move the variable to the right hand side and change its sign

5y=-2x     Divide both sides of the equation by 5

y=-2/5x     Write the solution y in parametric form

y=-2/5x, x∈R

Answer:

x=13

Step-by-step explanation:

1. Place 6 in

6=x-7

2. Evaluate

x=6+7

x=13

Reasoning:

There are 12 face cards since there are 3 face cards in any suit, and 4 suits. So 3*4 = 12.

There are 52 cards total.

Dividing the values leads to 12/52 = 0.230769 which rounds to 0.23

Answer:

y= 45

x=9

Step-by-step explanation:

plug 5x into y since y=5x:

5x=4x+9

-4. -4

x=9

5(9)=45

Answer:

x=9 y=45

Step-by-step explanation:

y=4x + 9.......(1)

y= 5x.........(2)

Substitute 5x for y in equation 1.

5x= 4x + 9

5x - 4x = 9 (Collect like terms 5 and 4 have x in common if +4 crossover it changes to -4)

x = 9

substitute 9 for x in equation 2.

y = 5(9)

y = 5 x 9(multiplication)

y = 45

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]

[tex]\text{Number of bricks in space}=576[/tex]

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.

Answer:

64%

Step-by-step explanation:

I hope this helps!

Answer:

b=2

Step-by-step explanation:

Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation:

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6