Jane ordered a few moving boxes from a local store as she is relocating to Atlanta. She returned 28 damaged boxes. She allotted the remaining boxes equally for each of the four rooms from which her belongings had to be packed. If 5 boxes were used for each room, how many boxes did she receive from the store initially?

Answer:

ans  23 this is the ans

Step-by-step explanation:

Answer:

LSA = (a+b+c)×h

Step-by-step explanation:

The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)

Let us assume that three side of triangle are a, b, c and height of prism is h

Then lateral surface area of the prism can be LSA = (a+b+c)×h

9514 1404 393

Answer:

  y = -3x^2 -9x +30

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...

  f(x) = (x +5)(x -2)

At the point x=3, the value of this product is ...

  f(3) = (3 +5)(3 -2) = (8)(1) = 8

In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...

  y = -3(x +5)(x -2)

  y = -3x^2 -9x +30 . . . . . standard form

Answer:

9

Step-by-step explanation:

2-9= -7 so the distance is 9

Answer:

7 units

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3\sqrt{2} }{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

h = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 6

the hypotenuse is 6 units

Answer:

This can't really be broken down, so you would either write the answer as the question, or put it in decimal form.

So the choices would be:

[tex]\sqrt{119}[/tex] or 10.9

Answer:

X =50                  Y is also 50 since they are vertical angles

Step-by-step explanation:

70+ 60 + X = 180  (the 3 angles form a straigh line = 180 )

130 +X =180

X = 180-130

X=50

Step-by-step explanation:

he answered seven of the multiple choice questions and answered one of the true or false questions that is;

7×2+1=14

The ordered pair is a solution is (2, 6).

Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.

The correct option is (B).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x + 2y = 14............(1)

x + y = 8

x = 8 - y.................(2)

Solving equation (1) and (2), we get

8 - y + 2y = 14

y + 8 = 14

y = 14 - 8

y = 6

and, x + y = 8

x + 6 = 8

x = 8 - 6

x = 2

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Answer:

it is 8.65

Step-by-step explanation:

it just is but if it is wrong sorry been a while since i done this

Answer:

x=1.5

Step-by-step explanation:

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

Answer:

20.25?

Step-by-step explanation:

Answer:

<B = 18

x+23 = 35

5x = 60

Step-by-step explanation:

Answer:

12. 18

14. x = 12; x + 23 = 35; 5x = 60

Step-by-step explanation:

12.

100 = ? + 82

? = 18

14.

x + 23 + 5x + 85 = 180

6x + 108 = 180

6x = 72

x = 12

x + 23 = 12 + 23 = 35

5x = 5 * 12 = 60

Answer:

14

Step-by-step explanation:

4 2/3

Multiply the 4 and 3 together to get 12

Then you add the 12 to the 2 to get 14

Therefore, it'll take 14  1/3 cups.

Answer:

α = 62°

β = 56°

gamma = 90°

Step-by-step explanation:

ΔAOB is isosceles, so m∠A = m∠ABO = 28

28 + 28 + m∠AOB = 180

m∠AOB = 180 - 28 - 28 = 124

β = 180 - 124 = 56

arcAB = 124

ΔBOC is isosceles.  α = m∠BCO = 1/2(arc AB) = 1/2(124) = 62

∠D is inscribed in a semicircle

m∠D = gamma = 90°

Answer:

Step-by-step explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

L = √d² + h²

Height is equal to [tex]14.59[/tex] feet

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

[tex]l=\sqrt{h^2+d^2}[/tex]

[tex]l=15[/tex] feet

[tex]d=3.5[/tex] feet

[tex]15=\sqrt{3.5^2+h^2}[/tex]

[tex]15=\sqrt{12.25+h^2}[/tex]

[tex]225=12.25+h^2[/tex]

[tex]212.75=h^2[/tex]

[tex]\sqrt{212.75}=h[/tex]

[tex]h\approx 14.59[/tex] feet

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Answer:

The ice cold drink can freez hussain brain

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Use Pythagoras theorem to solve

Answer: 16 minutes (16.36)

Step-by-step explanation:

5.5 = 90

1 = ?

90 / 5.5 = 16.36363

1 = 16 minutes

Answer:

the ride would be $1.72 for the cab

Answer:

Non-Linear

Includes a cluster

Positive Association

Includes an outlier

Step-by-step explanation:

Answer:

a) yes, they are similar

b) ΔDEF will have a greater area

1.2 times greater (which is the same proportion as 36/30)

Step-by-step explanation:

a) 40/48 = 0.8333

30/6 = 0.8333

Same ratio so they are similar

b) ΔDEF will have a greater area because EF is longer than BC.

area of ΔABC = 1/2(30)(40) = 600 cm²

area of ΔDEF = 1/2(36)(40) = 720 cm²

720/600 = 1.2 x greater

Given:

A figure of a circle with radius 8. The central angle of the blue sector is 60 degrees.

To find:

The area of the blue sector.

Solution:

Area of a sector is:

[tex]A=\pi r^2\dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle of the sector in degrees.

Putting [tex]r=8, \theta=60^\circ, \pi=3.14[/tex], we get

[tex]A=(3.14)\cdot (8)^2\cdot \dfrac{60^\circ}{360^\circ}[/tex]

[tex]A=(3.14) \cdot (64)\cdot \dfrac{1}{6}[/tex]

[tex]A=33.49333....[/tex]

Approximate the value to the nearest tenth.

[tex]A\approx 33.5[/tex]

Therefore, the area of the blue sector is about 33.5 sq. units.

Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

Answer:

The answer is "lengths of opposite sides are equal "

Step-by-step explanation:

The parallelogram is a four-sided one in parallel opposites and therefore opposite angles equal. Each quadrilateral is called a rhombus with equal sides, as well as a parallelogram that also has correct angles is recognized as a rectangle. Its flat form with 4 smooth edges is parallel on the other side, so that when the opposite sides were equal in length. That's why ABCD is also a parallelogram because the two sides are parallel.

Answer:

x > 1.5

Step-by-step explanation:

I am not sure what exactly the question asks, because there doesn't need to be an absolute value bracket, but from what we can see, x is greater than 1.5, so the equation would be

x > 1.5

Answer:

hi I need help in math please help me

Step-by-step explanation:

will you?