someone please help :D

Answer:

[tex]V_3 = 1916in^3[/tex]

Step-by-step explanation:

Given

See attachment for gift items and the shipping carton

Required

Determine the volume of the empty space

First, we calculate the volume of the carton.

[tex]V = LWH[/tex]

From the attachment

L = 16; W =11 and H =13

So:

[tex]V = 16*11*13[/tex]

[tex]V = 2288[/tex]

Next, calculate the volume of the blue wrap

[tex]V = lwh[/tex]

From the attachment

l = 9; w =9 and h =2

So:

[tex]V_1 = 9 * 9 * 2[/tex]

[tex]V_1 = 162[/tex]

Next, calculate the volume of the pink wrap

[tex]V = lwh[/tex]

From the attachment

l = 6; w =5 and h =7

So:

[tex]V_2 = 6*5*7[/tex]

[tex]V_2 = 210[/tex]

The volume of the rest space (V3) is then calculated as:

[tex]V_3 = V - V_1 -V_2[/tex]

[tex]V_3 = 2288 - 162 -210[/tex]

[tex]V_3 = 1916[/tex]

Hence, the rest volume is 1916in^3\

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The x- coordinate of the vertex is at the midpoint of the zeros.

Given

f(x) = (x - 4)(x + 2)

Find the zeros by letting f(x) = 0 , that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then

[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate

f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9

Vertex = (1, - 9 )

Answer:

Step-by-step explanation:

Volume = Area of the base times the height

V = length * width * height

V = 10 * 5 * 1

V = 50 m^3

Now change it to liters

50 * 1000 = 50000 liters^3

A perimeter is a sum of lengths of sides of a lateral.

[tex]2x+7+3x+8=5x+15[/tex].

[tex] \frac{3}{6} [/tex]

El numerador es lo que melitón se comió...

Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.

Answer:

12.5% is loss....

hope it helps.

Answer:

the lost percentage is 14.28%

Step-by-step explanation:

1 - (72÷63) = -0.1428 x 100% = -14.28 %

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

The solution is x ≤ -9

What are Inequality Equations?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number be x

8 - x/3 ≥ 11

Subtracting 8 on both sides , we get

-x/3 ≥ 3

Multiplying by 3 on both sides , we get

-x ≥ 9

Interchanging the sign on both sides , we get

x ≤ -9

Hence , the solution is x ≤ -9

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Answer:

The second option, [tex]\frac{\sqrt{15}}{7}[/tex]

Step-by-step explanation:

Edge '21

The equation for cot θ is √15/7. Therefore, option B is the correct answer.

Given that, cosec θ=8/7.

We need to find the ratio of cot θ.

The ratio of cot θ is cot θ=Adjacent/Opposite.

As we know, cosec θ=Hypotenuse/Opposite.

So, 7²+x²=8²

⇒x=√15

Now, cot θ=√15/7.

The value of cot θ is √15/7. Therefore, option B is the correct answer.

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Answer:

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft

Step-by-step explanation:

The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 15^2

a^2 + 16 = 225

a^2 = 209

a = 14.5 feet

Answer:

B. Certificate of deposit

Step-by-step explanation:

in traditional savings account you can take the money out anytime (usually up to 5 times a month)

in retirement account​ (well this could include 401k ,etc..)

Answer: B

Step-by-step explanation:

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

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Answer:

Step-by-step explanation:

I assume the figures are parallelograms, then

1). KL = MJ and

12x - 22 = 7x - 2

12x - 7x = 22 - 2

5x = 20

x = 4

2). m∠RQT + m∠QTS = 180°

(The picture is not clear and I might be wrong about coefficients by x for ∠RQT and ∠QTS)

(3x + 5)° + (9x - 17)° = 180°

12x - 12 = 180

12x = 192

x = 16

Answer:336

Step-by-step explanation:

12

216 = 336

Answer:

27

Step-by-step explanation:

a+b/2 times h

thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid

so 6 on the bottom and 3 on the top

add those and it equals 9 then divide by 2 gives us 9/2

then the height would be 6

so we multiply 9/2 by 6 giving us 54/2

simplified equals 27 so ur answer would be 27 units squared

Answer:27

Step-by-step explanation:

Answer:

$127.5

Step-by-step explanation:

Given data

P = $510

r= 12.5%

t= 2 years

The expression for simple interest is

SI= PRT/100

SI= 510*12.5*2/100

SI= 12750/100

SI= 127.5

Hence the Simple interest is $127.5

Answer:

x<8/3

Step-by-step explanation:

Your answer is x is less than 8 over 3

Answer:

Answer is d

Step-by-step explanation:

x<8/

Given:

Base angle of an isosceles triangle is 15 degrees more than its vertical angle.

To find:

The measure of each angle of the triangle.

Solution:

Let x be the vertical angle. Then,

One base angle = x+15 degrees

We know that base angles of an isosceles triangle are equal.

Another base angle = x+15 degrees

Now, the sum of all angles of a triangle is 180 degrees by the angle sum property.

[tex]x^\circ+(x+15)^\circ+(x+15)^\circ=180^\circ[/tex]          (Angle sum property)

[tex](3x+30)^\circ=180^\circ[/tex]

[tex]3x+30=180[/tex]

[tex]3x=180-30[/tex]

[tex]3x=150[/tex]

Divide both sides by 3.

[tex]x=\dfrac{150}{3}[/tex]

[tex]x=50[/tex]

The measure of base angles is

[tex](x+15)^\circ=(50+15)^\circ[/tex]

[tex](x+15)^\circ=65^\circ[/tex]

Therefore, the measure of angles are 50°, 65° and 65°.

Answer:

i think it is v=8 love

Step-by-step explanation:

Answer:

It's 10

Step-by-step explanation:

Answer:

48 cm²

Step-by-step explanation:

The diagonals are in a proportion of 4:3, thus sides of a Pythagorean Triple; they cross at a right angle. The figure formed by joining the midpoints of adjacent sides is a rectangle with sides half the lengths of the original diagonals. 8×6=48

Answer:

B

Step-by-step explanation:

because the slopes is 3.

Answer:  

11/9

hope this helped :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 / 12 = 0,91 and a periodic 6

3 / 4 = 0,75

11 / 12 = 3 / 4 = 0,916 ÷ 0,75

Answer: 42.5ft

Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.

If so, you can use the Pythagorean Theorem.

a^2 + b^ = c^2

96^ + b^2 = 105^2

Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)

Happy to help

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

Answer:

Step-by-step explanation:

8) entire cost of meal = m

m = 14.68 + 14.68

  = 29.36

Solution $29.36

9) Let Elijah's height  = h

h + 6 = 48

      h = 48 - 6

  Solution 42 inches

10)     x - 15 = 20

              x = 20 + 15

Solution 35 ounces

Answer:

C

Step-by-step explanation:

She earns $487.50

375+75+37.5=487.5

Answer: c

Step-by-step explanation

First find the unit rate

$150 divided by 20 = $7.50

So she's earning $7.50 an hour

$7.50 times 65 hours = $487.50

So the correct answer is C

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

Answer:

48

Step-by-step explanation:

1 to 4 = 12 to ?

multiply the small one by 4 to get the bigger one

Step-by-step explanation:

1:4

12:x

1=4

12=x

cross multiply

x=4×12

x=48

Answer:

Part A 73  Part B 113

Step-by-step explanation: