please help.... thank you​

The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Volume of the box = l×w×h

150 = l×w×h

h = 2 in

l = 10+w

150 = (10+w)(w)(2)

150 = 2w(10+w)

After solving, we get:

w = 5 or w = -15

Width cannot be negative.

w = 5 in

Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's get started ~

According to question :

[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]

Now, we have been given that when y = 11, x = 8

Let's plug these values in equation to find value of k ~

[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]

[tex]\sf \dashrightarrow k = 11 \times 8[/tex]

[tex]\sf \dashrightarrow k =88[/tex]

we got the value of proportionality constant. now we have been asked to find the value of y when x = 16

So, let's use the equation ~

[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]

[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]

[tex]\sf \dashrightarrow y = 5.5[/tex]

I hope you understood the whole procedure ~

Answer:

~201

Step-by-step explanation:

Use the area formula:  [tex]A=\pi r^2[/tex]

22/7 x 64 = 201.14

which rounds to 201

The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.

Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.

Given the coordinates of quadrilateral JKLM as:

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .

JK = √[(3−(−2))² + (7−3)²]

JK = √41

JK ≈ 6.4 units

KL = √[(3−6)² + (7−5)²]

KL = √13

KL ≈ 3.6 units

LM = √(1−6)² +(1−5)²]

LM = √41

LM ≈ 6.4 units

JM = √(1−(−2))² + (1−3)²]

JM = √13

JM ≈ 3.6 units

Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.

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Answer:

A=L*W

Step-by-step explanation:

6x²+8x+2=LX(3x+1)

                 2x+2

Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.

Hope this helps!

Answer:

r = -7

Step-by-step explanation:

-4 + 2r - 5r = 17

=> 2r - 5r = 17 + 4

=> -3r = 21

=> r = 21/(-3)

=> r = -7

Answer:

There are 90 students in this school.

Step-by-step explanation:

Answer:

90 students are in the class

Step-by-step explanation:

So basically, you need to make this ration fraction equation:

[tex]\frac{1}{3} \\\\[/tex]  - [tex]\frac{1}{9} \\[/tex] = 20 .

you would come up with 2/9 is 20.

Times it by both sides and you will get 180=2x.

Note this x is added so you will get a variable and not get confused.

Then, your answer would become x=90.

Answer:

13.0236

Step-by-step explanation:

4^0.2x +6=43

(2^2)^0.2x +6=43

2^2*0.2x +6=43

Answer:

Step-by-step explanation:

Answer: The answers are:  -1,  1, (2, 2), (2, 2), & perpendicular and share the same point.

Step-by-step explanation: Trust Me! Answer is correct in Edge.

Good Luck! :)

From the figure, we immediately have

cos(θ) = 8/17

sin(θ) = 15/17

By definition of tangent,

tan(2θ) = sin(2θ)/cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

Then

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)

tan(2θ) = -240/161

Answer:

i could help but i don't see the graph chart

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Part 1 - Acceleration when t = 3

Part 2 - Deceleration when t = 12

Part 3 - Total Distance Covered

    2. From t = 4 to t = 8

    3. From t = 8 to t = 15

Total distance = 66 + 88 + 77 = 231 m

Part 4 - Average Speed

    2. Avg. Speed (t = 4 to t = 8)

    3. Avg. Speed (t = 8 to t = 15)

Average Speed = 16.5 + 22 + 11 / 3

Answer:

False

Step-by-step explanation:

Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.

Answer:

to find volume of square pyramid use this formula

Step-by-step explanation:

[tex]volume = \frac{1}{3} a {}^{2} h[/tex]

Answer:

[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]

[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]

---------- HappY LearninG <3 ------

Answer:

the answer is 34

Step-by-step explanation:

see the image

Answer:X=5

Y=

Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number

also here are some practice questions, ask me if you don't get them

The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches

Pythagoras theorem can be used to find eh.

Therefore,

c²= a² + b²

where

Therefore,

AE = 7 inches

AH = 7√3 inches

Therefore,

EH² = ( 7√3 )² - 7²

EH²  = 147 - 49

EH = √98

EH = 9.89949493661

EH = 9.9 inches

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Answer: ITS BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Probality is given by the ratio of the number of the one type of product to the total number of the product .

so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple

so green apple = 10- 7 = 3 apples

Answer:

720km

Step-by-step explanation:

12000 steps = 2 feet * 12000 = 24000 feet

= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm

= 720000cm = 720000 / 1000 = 720km

Answer:

Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)

a. (4/8 - 1/8)/(4/2 - 1/2)

3/8 / 3/2

3/8 x 2/3 = 2/8 = 1/4

y - 1/8 = 1/4(x - 1/2)

y - 1/8 = 1/4x - 1/8

y = 1/4x

b. (1400 - 1200)/(1000 - 500)

     200/500 = 2/5

y -  1200 = 2/5(x - 500)

y - 1200 = 2/5x - 200

y = 2/5x + 1000

c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95

 y - 13.95 = 13.95(x - 1)

y - 13.95 = 13.95x - 13.95

y = 13.95x

d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156

    y = .16(x - 0)

y = .16x

or y = .156x

The value of arc ST in the circle with center at point V is 125 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

mSU = 2 * ∠STU (angle at center is twice angle at circumference)

21x + 8 = 2(13x - 6)

x = 4

mSU = 21(4) + 8 = 92°

mSU + mUT + mST = 360° (angle in a circle)

92 + 143 + mST = 360

mST = 125°

The value of arc ST in the circle with center at point V is 125 degrees.

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The price of Burritos is $ 2.2 and the price of savory chips is $1.1

A system of equations is a set or collection of equations that you deal with all together at once.

Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

The price of 26 delicious burritos and 27 orders of savory chips for $86.90

4 more burritos and 9 more orders of chips for $40.70

Let us consider the price of Burritos is x

and the price of savory chips is y

from the first statement we can form the equation

26*x +27*y = 86.9

and from the second statement we can form the equation

14*x + 9*y= 40.70

To determine the price of each we have to solve these system of equations.

On solving using elimination method

16x = 35.2

x = $2.2

and y = $1.1

Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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The price of Burritos is $ 2.2 and the price of savory chips is $1.1

A system of equations is a set or collection of equations that you deal with all together at once.

The price of 26 delicious burritos and 27 orders of savory chips = $86.90

The price of 14 more burritos and 9 more orders of chips = $40.70

Let us consider the price of Burritos is x

and,  the price of savory chips is y

Now,

26x +27y = 86.9

and

14* + 9*= 40.70

On solving above two equation, we get

16x = 35.2

x = $2.2

and y = $1.1

Hence,  price of Burritos is $ 2.2 and the price of savory chips is $1.1.

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a) The arrangement of 9 paintings can be done 9 ways.

b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.

The arrangement of the different things or numbers in a number of ways is called the combination.

a) Here if she has 9 paintings so the number of the arrangements will be

[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]

b) The arrangement of the 4 out of 9 paintings will be

[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]

Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.

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The probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcome = 20

Total number of favourable outcome (multiple of 2 or a multiple of 7):

E = {2, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20}

n(E) = 11

The probability = 11/20 = 0.55 or

= √0.3025

Thus, the probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.

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Answer:

Here is the ans...hope it helps

Answer:

7 ft ×6 ft

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W ft respectively.

Form 2 equations using the given information:

LW= 42 -----(1)

L= 3W -11 -----(2)

Substitute (2) into (1):

(3W -11)(W)= 42

Expand:

3W² -11W= 42

3W² -11W -42= 0

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Applying quadratic formula:

[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]

[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]

[tex]W= \frac{ 11± 25}{6} [/tex]

W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)

Substitute W= 6 into (1):

L(6)= 42

L= 42 ÷6

L= 7

Thus the dimensions of the rectangle is 7 ft ×6 ft.

Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:

B. One standard deviation.

It states that, for a normally distributed random variable:

Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.

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