Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 square feet and a length that is 4 feet more than its width.

If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.

Answer:

Step-by-step explanation:

Argument

If you multiply 0.2 by 4, you get 0.8

If you multiply 0.8 by 4, you get 3.2

If you multply 3.2 by 4,, you get 12.8

Answer: 12.8

Answer:

Step-by-step explanation:

Option D
shows exponential decay

The true statement regarding the graphed functions is option A; f(0) = g(0) = 4.

The function is a type of relation, or rule, that maps one input to specific single output.

When a function h(x) passes through [a,b] then it could be h(a)=b.

It is given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0,

g(0)=4.

If f(x) passes through (0,4) and (2,0)

so, f(2)=0,

f(0)=4.

Therefore, f(0) = g(0) = 4.

Hence, the first option is correct f(0) = g(0) = 4.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

the answer is the first option(option A);  f(0) = 2 and g(-2) = 0

reason; because thats the correct answer on Edge for some reason. so im just typing this to help someone.

31.416

Step-by-step explanation:

cause 10 times pie, please tell me if I’m wrong

Answer:

Pythagorous Theorem

Step-by-step explanation:

in this case

Answer:

1/3x + 6

Step-by-step explanation:

The bearing of point X from point Z is 285°

From the question, we are to determine the bearing of point X from point Z.

Consider the diagram attached

The bearing of point X from point Z is the measure of the angle from the North of Z in the clockwise direction to the line that goes to X.

That is,

The bearing of point X from point Z = 270° + 15°

The bearing of point X from point Z = 285°

Hence, the bearing of point X from point Z is 285°

Learn more on Calculating bearings here: https://brainly.com/question/22719608

#SPJ1

The area of the parallelogram is mathematically given as

A = 7 square units Option B

Generally, the equation for a parallelogram is mathematically given as

A=bH

Where

[tex]b=\sqrt{4^2+1^2}[/tex]

b=4.123

and

H=1.75

Hence

A=3*1.75

A=7.2square units

In conclusion,  a parallelogram

A = 7 square units

Read more about parallelogram

https://brainly.com/question/1563728

#SPJ1

Answer:

A unit of measurement is a specific magnitude of a certain quantity that is specified and recognized by convention or legislation and is commonly used as a standard for measuring the same kind of quantity. We would randomly confuse the computations if the unit system was not given to the measurements.

Step-by-step explanation:

Example: If someone wrote 200 as a response to a question on a piece of paper. But You neglected to mention the measuring units. Anyone can mistake it because there are no units written apart from the number (unit less). Complications multiply. It's impossible to say whether it's 200 m or 200 g. 200 milliliters? 200 kilometers, 200 seconds, or 200 meters? It's possible to guess anything. We should always utilize units to be specific about the answer to any problem. This will assist in narrowing down the approach to any challenge and providing a measurable linked quantity regarding the topic in question.

Answer:

192

Step-by-step explanation:

Trust me :)

Answer:

x ≈ - 2.193 , x ≈ 3.193

Step-by-step explanation:

x² - x - 7 = 0 ( add 7 to both sides )

x² - x = 7

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 0.5)x + 0.25 = 7 + 0.25

(x - 0.5)² = 7.25 ( take square root of both sides )

x - 0.5 = ± [tex]\sqrt{7.25}[/tex] ≈ ± 2.693 ( add 0.5 to both sides )

x = 0.5 ± 2.693

then

x = 0.5 - 2.693 = - 2.193

x = 0.5 + 2.693 = 3.193

Answer:

x = 11.85

Step-by-step explanation:

x^2+(x-4)^2=202

x^2+(x-4)(x-4)=202

x^2 + x^2 - 4x - 4x + 16 = 202

2x^2 - 8x + 16 = 202

2x^2 - 8x - 186 = 0

Apply the quadratic equation and you'll get x as:

x=11.85 or x=-7.85

x cannot be negative

therefore x = 11.85

Answer:

  about 2949 feet

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...

  Tan = Opposite/Adjacent

__

Filling in the known values, we have ...

  tan(6°) = (310 ft)/(distance to coyote)

Multiplying by (distance to coyote)/tan(6°) gives ...

  distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft

  distance to coyote ≈ 2949.453 ft

The coyote is about 2949 feet from the base of the cliff.

Answer:

y = 3, 4, or 5

Step-by-step explanation:

Step 1; Simplify the Double Inequality

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the entire inequality by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

Step 2: Identify the Integers in this Range

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is any number that is not a fraction when fully simplified (ex. …-1, 0, 1...).)

In other words, we need to find all of the integers in between 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, [tex]\angle CAB=50^{\circ}[/tex]

Since angles in a triangle add to 180 degrees, [tex]\angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}[/tex]

Since sides opposite equal angles in a triangle are equal, [tex]AB=BC[/tex].

So, triangle ABC is isosceles

Answer:

2815 views

Step-by-step explanation:

Given :

⇒ Views on first day = 500

⇒ Rate of increase = 28%

============================================================

Creating a function :

⇒ Let y be the total number of views and x be the number of days since posted

⇒ y = 500 (1 + 0.28)ˣ = y = 500(1.28)ˣ

============================================================

Solving :

⇒ y = 500(1.28)⁷

⇒ y = 500(5.62949953)

⇒ y = 2815 views (nearest whole number)

Answer:

D

Step-by-step explanation:

D

Let y+4=1/2×-2

when x=0 , y+4=-2

x=-6

let x=0 , y=-10

y+4≤ 1/2×1/-2

-10+4≤1/2.0-1/2

-6≤1/-2 So, (0, -10) is in the area

Hence, D is right

Answer:

Step-by-step explanation:

Given kite BCDE and

We know diagonals of kite are perpendicular to each other, hence ADC is a right triangle.

Using Pythagorean, find the missing side AC:

So AC is 45 units long

Answer:

number of kilometers travelled by cavalier-86.4

he used 6litres for the journey. take number of kilometers divide by number of litres

86.4/6=14.4

Angles are equal as it's parallelogram

Answer:

x = 3

Step-by-step explanation:

Assuming the given shape is a rhombus.

Properties of a rhombus

As there is a reflection of symmetry over the diagonals, the diagonals bisect the vertices, i.e. the diagonal divides the vertices into 2 equal angles.  Therefore, the angles either side of the diagonal at each vertex are equal.

Therefore:

[tex]\implies 6x^2-15=5x^2-2x[/tex]

Rearrange to create a quadratic (equal to zero):

[tex]\implies 6x^2-15-5x^2+2x=0[/tex]

[tex]\implies x^2+2x-15=0[/tex]

Solve the quadratic to find the value of x:

[tex]\implies x^2+2x-15=0[/tex]

[tex]\implies x^2+5x-3x-15=0[/tex]

[tex]\implies x(x+5)-3(x+5)=0[/tex]

[tex]\implies (x-3)(x+5)=0[/tex]

Therefore:

[tex](x-3)=0 \implies x=3[/tex]

[tex](x+5)=0 \implies x=-5[/tex]

Substitute the found values of x into one of the expressions:

[tex]x=3 \implies 6(3)^2-15=39[/tex]

[tex]x=-5 \implies 6(-5)^2-15=135[/tex]

Therefore, the options for the angles are 39° or 135°.

From inspection of the diagram, the angles are clearly acute (less than 90°), therefore the only appropriate value of x is 3.

19-73 19-73 70-65-46 I585

Answer:

$11.40 per dozen

Step-by-step explanation:

there are 2 ways to do this. the simpler way to do it is to multiply 2.85 times  4 because you are adding the price of 3 muffins 4 times. another way is to find the unit rate of 1 muffin which is $0.95 per muffin, then multiply that by 12. hope this helps. also brainliest pls:)

Answer: option (b) does not form a right triangle

Answer:

buying 3 of the regular price tickets

Step-by-step explanation:

if you multiply the regular price ticket 3 times, the total is 35.25 which is cheaper than the bundle

The correct answer among the given choices is the first one

A graph shows Time in hours on the x-axis and Aida’s Distance from Tent in miles on the y-axis.

The graph shows three straight lines.

The first straight line joins ordered pairs 0, 0, and 2, 4.

The second straight line joins ordered pairs 2, 4, and 8, 4. The third straight line joins ordered pairs 8, 4, and 9, 0.

The given ordered pairs are in the format of (t, d) where t is time and distance is d.

Time will always be on the x-axis since it is always an independent variable.

The first ordered pair should be (2, 4) since it took her 2 hours to trek to the hilltop. Of the given choices, only the 1st and 3rd choices have these first ordered pairs so we are down to two choices.

Now the second ordered pair should be (8, 4) since she spent 6 hours at the top but no change in distance. And only the 1st choice has this value therefore it is the answer.

To learn more about the distance visit:

https://brainly.com/question/2854969

#SPJ1

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

Answer:

[tex]108^o[/tex]

Step-by-step explanation:

Consider this regular pentagon  [tex]ABCDE[/tex].

Let us join vertices [tex]AC[/tex] and [tex]EC[/tex] as shown to form three triangles as shown. I have used letters [tex]a,b,c,d,e,f,g,h,i[/tex] to represent internal angles of triangles for sake of simplicity.

Since the sum of interior angles of a triangle is [tex]180^o[/tex],

In △[tex]ABC,b+c+d=180^o[/tex]

In △[tex]ACE,a+e+180^o[/tex]

in △ [tex]ECD,h+f+g=180^o[/tex]

um of interior angles of the pentagon is

[tex]a+b+c+d+e+f+g+h+i[/tex]

[tex]=(b+c+d)+(a+e+i)+(h+f+g)[/tex]

[tex]=180^o + 180^o +1 80^o[/tex]   [using the above three results]

[tex]=540^o[/tex]

[tex]i.e.[/tex] ∠A + ∠B + ∠C + ∠D + ∠E = [tex]540^o[/tex]

Since it is a regular octagon, ∠A = ∠B = ∠C = ∠D = ∠E

⇒ ∠A + ∠A + ∠A + ∠A + ∠A = [tex]540^o[/tex]

⇒ [tex]\iimplies 5*\angle{A} = 540^o[/tex]\

[tex]\implies \angle{A=540/5=108^o = \angle{B=\angle{C=\angle{D=\angle{E[/tex]

Hence internal angle of a regular pentagon is [tex]108^o[/tex]

Answer:

56

Step-by-step explanation: