Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

Answer:

45°

Step-by-step explanation:

AD⊥BC, BE⊥AC, CF⊥AB           AB = CK

∠1 + ∠2 = 90°        ∠5 + ∠2 = 90°              ∴ ∠1 = ∠5

∠5 + ∠4 = 90°                                            ∴ ∠4 = ∠2

AB = CK

ΔABD ≅ ΔCKD  (ASA)

AD = CD       ∴ΔADC is an isosceles triangle

∠C = ∠CAD = 45°       (∠C + ∠CAD = 90°)

Answer:

X - .4x

Step-by-step explanation:

X - .4x = x(1-.4) = .6x

1 -0.4x  These are not like terms so they cannot be combined

X + 0.6 These are not like terms so they cannot be combined

0.6X - X  x( .6-1) = x(-.4) = -.4x

Answer:

Width of rectangle = 83 meter

Step-by-step explanation:

Given:

Area of rectangle = 8,051 m²

Length of rectangle = 97 m

Find:

Width of rectangle

Computation:

Area of rectangle = Length of rectangle x Width of rectangle

97 x Width of rectangle = 8,051

Width of rectangle = 8,051 / 97

Width of rectangle = 83 meter

Step-by-step explanation:

Let the required integers be x,x+1,x+2.

Therefore,

x+x+1+x+2=45

3x+3=45

3x=42

x=14

Hence, the required integers are 14,15,16.

Answer:

16,800 Euros.is the answer

Step-by-step explanation:

Answer:8 or 9 ft

Step-by-step explanation:

Given

The area of the pool is  [tex]A=x^2-17x+72[/tex]

The area is in the form of a quadratic equation

So, the roots of the equation will give the length and width of the pool

[tex]\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9[/tex]

Therefore length and width can either be [tex]\text{8 or 9 ft}[/tex].

[tex]\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft[/tex]

Answer:

y=4/3x+2

Step-by-step explanation:

Step-by-step explanation:

V = πr^2h

V = 3.14 x 3.4x 3.4 x 18.1=657.33

Answer:

7/16

9/16

Step-by-step explanation:

boys =7+9 total ratio =16

ratio of boys=7/16

ratio of girls=9/16

Answer:

The distributive property

Step-by-step explanation:

You have to distribute the 3 to the parenthesis so it is the distributibe property.

Answer:

A(t)+900=x

B(t)+500=x

for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer

Step-by-step explanation:

you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300

11=y/6

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hope it helps

sorry, I didn't know how to explain it

Answer: 11= y/6y= 66

Step-by-step explanation:

Answer: [tex]49.7^{\circ}F[/tex]

Step-by-step explanation:

Given

The temperature on the ground is [tex]56.9^{\circ}F[/tex]

temperature drop observed is [tex]1.2^{\circ}F\ \text{per 1000 ft}[/tex]

The height of the plane is  [tex]6000\ ft[/tex]

The total increase in height per [tex]1000\ ft[/tex] is [tex]6[/tex] units

Temperature drop is

[tex]\Rightarrow 1.2\times 6=7.2^{\circ}F[/tex]

The temperature at that altitude is

[tex]\Rightarrow 56.9-7.2=49.7^{\circ}F[/tex]

Step-by-step explanation:

its easy use a calculator and in place of x put 1.5 and in place of y put 3.

Answer:

9/2

Step-by-step explanation:

Answer:

I believe it's C. (3 x 2) + 7!

The expression that could be used to find the number of cubes that would fill the prism will be (3 x 2) x 7. The correct option is D.

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.

The rectangular prism has a base of cubes that is 3 units long and 2 units wide, which means it has an area of 3 x 2 = 6 square units.

The prism is also 7 cubes tall. To find the total number of cubes in the rectangular prism, we need to multiply the area of the base by the height of the prism. Therefore, the expression that could be used to find the number of cubes that would fill the prism is:

(3 x 2) x 7 = 6 x 7 = 42

So the answer is D. (3 x 2) x 7.

To know more about rectangular prism follow

https://brainly.com/question/24284033

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Answer:

The slope is 2

Step-by-step explanation:

Answer:

24 in could be the area of the triangle

Answer:

perimeter of a rectangle

=2×(L+B)

=2×(4.3+3.4)

=2×7.7

=15.4

Area of a rectangle

=L×B

=4.3×3.4

=146.2

Answer:

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2L + 2W.  In this particular problem, P = 2(3.4 cm) + 2(4.3 cm), or

P = 6.8 cm + 8.6 cm, or P = 15.4 cm

The formula for the area of a rectangle of length L and width W is A = L * W.

In this problem, the area is A = (3.4 cm)(4.3 cm) = 14.62 cm^2  =  A

Answer:

Step-by-step explanation:

(0, -1)  (1, -3)

(-3 + 1)/(1 - 0)= -2/1= -2

y + 1 = -2(x - 0)

y + 1 = -2x + 0

y = -2x - 1

answer is C

Answer:

B 270° Clockwise

Step-by-step explanation:

Answer:

What are you solving for?

Step-by-step explanation:

Answer:

(7.5,4.1)

Step-by-step explanation:

Given

3x_7y =_40

3x_2y=_4

sol

3x_7y=_40..... equation 1

3x_2y=_4 ..... eq 2

here

eq 2 multi 3 eq 1 multiply 3

9x_21y=_120

9x_6y=_12

_ + = +

__________

0x+ 15y =108

y=108÷15

y=7.5

the y value putting the eq 1

3x_7y=_40

3x_7×7.5=_40

3x_52.5=_40

3x=52.5_40

3x=12.5

x=12.5÷3

x=4.1

Answer:

Your answer is D.

Step-by-step explanation:

If you need explanation ask me in comment

Answer:

The question gives the fact that both lines are parallel.

So:

3p - 15 =  7p - 5

3p = 7p + 10

-4p = 10

p = 10/-4

p = 5/-2

Answer:

The answer is 3p - 15 =  7p - 5    3p = 7p + 10    -4p = 10  p = 10/-4  p = 5/-2

Step-by-step explanation:

Answer:

5.33%

Step-by-step explanation:

Answer:

5.33%

if not it cpuod be 5.32% most likely to be the forst one

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

D. Infinite

Step-by-step explanation:

I put it in a graph and they had the same exact line so ya.

Answer:

what?

Step-by-step explanation:

Answer:

What

Step-by-step explanation:

Whata

nvm that isnt it pls delete this message

Answer:

2nd one from the left.

Step-by-step explanation:

it has the same angle measures.

Answer:

Distance of boy from tree (base) = 6.3 m (Approx.)

Step-by-step explanation:

Given:

Height of tree (perpendicular) = 9 m

Given angle = 55°

Find:

Distance of boy from tree (base)

Computation:

Using trigonometry function

tanθ = Perpendicular / Base

tan 55 = 9 / Base

1.4281 = 9 / Base

Base = 6.3

Distance of boy from tree (base) = 6.3 m (Approx.)