Henry is using cardboard to build a box in the shape of a rectangular prism. A net of the box is shown.
10 ft
4 ft
10 ft.__
6 ft!
4 ft
4 fti
1
What is the surface area of the box?
A. 84 square feet
B. 216 square feet
O c. 240 square feet
D. 248 square feet
E. 280 square feet

The values of x and y in parallelogram PQRS are x =2 and y = 9

From the question, we have the following parameters that can be used in our computation:

The parallelogram

On the parallelogram, we have the following readings

PT=​y, TR=4x+​1, QT=2​y, TS=5x+8

Rewrite them as

PT= ​ y

TR = 4x + ​1

QT = 2​y

TS = 5x + 8

Because the point T is the midpoint of the parallelogram, we have

PT = TR

QT = TS

Substitute the known values in the above equation, so, we have the following representation

y = 4x + 1

2y = 5x + 8

This means that

8x + 2 = 5x + 8

Evaluate the like terms

3x = 6

So, we have

x = 2

Substitute x = 2 in y = 4x + 1

y = 4 x 2 + 1

So, we have

y = 9

Hence, the values are 2 and 9

Read more about parallelogram at

https://brainly.com/question/970600

#SPJ1

Answer:

Step-by-step explanation:

slope is the coefficient of x when the coeficient of y is 1.

we need change the form.

2y=x+8

y=[tex]\frac{1}{2}[/tex]x+4

so, the slope of a line parallel to the line is 1/2

Answer:

0.5

Step-by-step explanation:

total = 12 marbles

6/12 are red

simplify

1/2 are red

convert

0.5 probibility of picking red.

hope this helps :D

Answer:

Your answer is 50%

Step-by-step explanation:

First we have to find the total marbles. 4+2+6 = 12

After we get the total marbles we just have to divide the red marbles by the total marbles. 6/12

That comes out to be 1/2 or .5 or 50%

The value of each trigonometric ratio is given by :

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

As given in the question,

Let us consider a triangle be ABC,

Figure is attached.

Side length is given by:

AC = 39

AB = 36

BC = 15

AC represents the longest side

( 36 )² + (15)² = (39)²

⇒AB² + BC² = AC²

By Pythagorean triplets ABC is right angled triangle.

All trigonometric ratio with respect to angle A is given by :

sin A = BC / AC

        = 15/39

        = 5/13

cos A = AB / AC

         = 36 /39

         = 12 /13

tan A = BC / AB

         = 5 /12

cosec A = 1/ sin A

              = 13 /5

sec A = 1/ cos A

         = 13 /12

cot A = 1 / tan A

         = 12 /5

Therefore , the value of all six trigonometric ratio is equal to

sin A = 5/13 , cos A = 12/13, tan A = 5 / 12

cosec A = 13 /5 , sec A = 13/12 , cot A = 12 /5.

The above question is incomplete , the complete question is :

Find the value of each trigonometric ratio tan A

Figure is attached.

Learn more about trigonometric ratio here

brainly.com/question/25122825

#SPJ4

Answer:

C. Last week it rained every day in San Antonio, Texas

Step-by-step explanation:

Climate is the long-term pattern of weather and temperature. The third answer does not talk about the weather of San Antonio from a long-term perspective, instead, it only discusses a week. The climate of San Antonio should refer to the rain patterns of multiple years, not days.

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<

Here,

Let the quantity of sold laptops, x

y —- the quantity of sold smartphones

The fact that to solve this problem we use inequality help

The problem's underlying inequity is equal to

=> 80x + 60y ≥6800

Therefore , As a result, 80x + 60y ≥ 6800 is the answer to the inequality problem given.

To know more about inequality visit:

brainly.com/question/28823603

#SPJ4

Answer:

-30+18q

Step-by-step explanation:

First, distribute the five to the terms in the parenthesis.

5x-6 and 5x4q

so -30+20q-2q

20q-2q equals 18q

so we are left with -30+18q.

The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.

In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:

Arithmetic average = [F(x)]/n

Next, we would determine the total number of calories and then convert to ounces:

Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185

Total number of calories, F(x) = 788 calories.

Note: 1 pound = 16 ounces.

Total number of calories, F(x) = 788 calories × 16 ounces

Total number of calories, F(x) = 12,608 calories.

Now, we can calculate the arithmetic average for the number of calories per bag:

Arithmetic average = [F(x)]/n

Arithmetic average = 12,608/5

Arithmetic average = 2,521.6 ≈ 2,500.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Answer:

254.88

Step-by-step explanation:

198 + 6% + 45

Answer:

[tex]x=23.82^o[/tex]

Step-by-step explanation:

[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]

[tex]tan~36=\frac{225}{y}[/tex]

[tex]y=\frac{225}{tan ~36}[/tex]

[tex]y=309.6859321[/tex]

[tex]tan(x)=\frac{225}{y+200}[/tex]

[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]

[tex]x=23.81898048[/tex]

[tex]x=23.82^o[/tex]

------------------------

hope it helps...

have a great day!!

23.82° is derived as the value of x according to nthe diagram shown.

This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.

36 = 225/y

y = 225/tan 36

  = 309.686.

tan(x) = 225 / y+200

x = tan -1 (225/309.686)

x = 23.82

Read more about Angle of elevation here https://brainly.com/question/88158

#SPJ2

The Complete is showing the length of the fence and the cost.

Length of fencing  4  6      7    9  10

Cost:                       36 54  63 81  90

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Length of fencing  4  6  7  x  10

Cost:                       36 y z 81 w

Now, Using proportion

4/ 36 = 6/y

4y = 36(6)

y = 54

and, 4/36 = 7/z

4z = 36 (7)

z = 63

and, 4/36 = x /81

x = 9

and, 4/36 = 10/w

360 = 4w

w= 90

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ1

The measure of the central tendency is 67 as the data in the set are integers.

A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.

As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.

Given, A data set 70, 67, 75, 60, 67, 65.

Arranging the data set in ascending order,

60, 65, 67, 67, 70, 75.

Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.

= 67.33.

Mode of the data set 67.

So, The central tendency of the data set is 67 as the data in the set are all integers.

learn more about central tendency here :

https://brainly.com/question/26220590

#SPJ1

The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).

A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

[tex]x - x^3[/tex] has a degree of 3, or 3.

The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.

The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]

To know more about polynomial visit :-

brainly.com/question/11536910

#SPJ4

In the given the diagram of a circle, the measure of angle MON is 60°.

A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.

All angles add upto 360°

100 + 140 + ∠MOP =  360

∠MOP = 120°

Draw an imaginary straight line extending MO, making MOM'

∠QOM' = 180 - 140

            = 40 = ∠MOQ'  (vertically opposite)

Draw an imaginary straight line extending NO, making NON'

Draw an imaginary straight line extending PO, making POP'

P'OQ = 180 - 100

         = 80 = ∠Q'OP   (vertically opposite)

Draw an imaginary straight line extending QO, making QOQ'

P'OM = 60° = M'OP  (vertically opposite)

Now, ∠N'OQ = 180 - 60 - 2(40)

                     = 20°

Then, ∠P'ON' = 80 - 20

                     = 60

And ∠MON = 40 + 20

                    = 60°

Hence, In the given the diagram of a circle, the measure of angle MON is 60°.

Learn more about circle

https://brainly.com/question/29142813

#SPJ1

Answer: It”ll take Emily five weeks to buy the sound system.

Answer:

5 weeks

Explanation:

Emily has already saved $74 and need to make 149 we know she makes $15 a week 15*5=75

75+74=149

so it would take 5 weeks for Emily to get a sound system.

Answer:

4

Step-by-step explanation:

Base times height divided by 2 is the area. If the area is 8 you need to know what would make it 8

So

4x4/2=8

Answer:

y=15(2)ˣ

Step-by-step explanation:

If each term is being multiplied by 2 starting with 15, then the exponential equation that models this sequence is y=15(2)ˣ where x is the nth term of the sequence.

Answer:

mrk me brainliest first plzz

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Step-2: Prime Factorization of 32

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

Step-3: Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1, 2, 7

Step-4: Factors of 32

List of positive integer factors of 32 that divides 14 without a remainder.

1, 2, 4, 8, 16

Final Step: Greatest Common Factor Number

We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.

So the greatest common factor 14 and 32

There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.

If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.

If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.

To know more about straight angle, here

https://brainly.com/question/29405386

#SPJ4

Answer:

Step-by-step explanation:

5 : 25

In simplest form

1 : 25

In fraction form

1/25

In decimal form

0.04

150 : 300

In simplest form

1 : 2

In fraction form

1/2

In decimal form

0.5

Answer: m = -1/10

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −1/10

Answer:

544

Step-by-step explanation:

You can Section the figure off into 3 and find the area of each. The sum was cut off in the image, but the total is 544 :)

Step-by-step explanation:

First, solve the volume of the solid without the groove:

V1 = (14 cm)(8 cm)(6cm) = 672 cm^3

Now solve for the volume of the groove:

V2 = (8 cm)(8 cm)(2 cm) = 128 cm^3

The volume of the block that Goran made is

V = V1 - V2 = 544 cm^3

Answer:

a = (13 m) / (sec^2)

Step-by-step explanation:

Force equation:  F = ma

yields a = F/m

Here F = 26 N and m = 2 kg, so

a = (26 N) / (2 kg) = (13 m) / (sec^2)

The range of a sample data collected by a researcher is 10 . So, correct answer is option (C).

Range of a sample data is calculated by using the formula to determine the difference between the highest and lowest value in sample set of values.

R = Highest Value (H) - Lowest Value (L)

Range Formula, R = H - L

Where, R --> range

H --> the highest value

L --> the lowest value

We have, a reaseacher collected a sample data .

Sample data values are following,

3 5 12 3 2

The mean of sample data = 5

Range of sample data = highest data value - lowest data value

There is highgest data value = 12

and lowest data value = 2

Range = 12 - 2 = 10

So, the required range of sample data is 10.

To learn more about range of data, refer:

https://brainly.com/question/14111289

#SPJ4

Complete question:

A researcher has collected the following sample data. The mean of the sample is 5

"3 5 12 3 2"

Refer to Exhibit 1. The range is:

A)1

B)2

C)10

D) 12

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᶛɲƧཡэʀ \: }[/tex]

y = (x + 1) (x - 1) (x - 3)

Use the distributive property to multiply x+1 by x-1 and combine like terms.

y = (x² - 1) (x - 3)

Use the distributive property to multiply x² - 1 by x - 3.

y = x³ - 3x² - x + 3.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

10

Step-by-step explanation:

212-198= 14 rounded down to 10

Answer:

a bucket contains two red, three white and one green ball.

If three balls suddenly come off, what is the chances of getting two white balls from those balls