Each wall in the room is 10feet by 11 feet how many rolls of wall paper will you need of each roll covers 25 square feet

Solution:

Let the missing angle be x.

It should be noted:

This means that...

Combine like terms.

Subtract 44 both sides.

Simplify the RHS

Divide 2 both sides.

Answer:

68°

Step-by-step explanation:

Remember :

Solving :

Answer:

6.2

Step-by-step explanation:

pretty sure this is the answer-- ^^

The mean of the given data set  {6, 11, 5, 2, 7} is 6.2.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that;

Data set= {6, 11, 5, 2, 7}

Now,

To find the mean of a data set, you need to add up all the values and divide by the number of values.

In this case, there are 5 values in the data set: 6, 11, 5, 2 and 7.

To find the mean, follow these steps:

Add up all the values: 6 + 11 + 5 + 2 + 7 = 31

Divide by the number of values: 31 / 5 = 6.2

Therefore, by the mean the answer will be 6.2.

Learn more about mean and median;

https://brainly.com/question/17060266

#SPJ3

Answer:

D'(2,0), E'(3,3), F'(6,4)

Step-by-step explanation:

The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).

For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).

Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

40°

Step-by-step explanation:

m∠DGE = mDE/2 = 80/2 = 40°

Answer:

Part A

Cone

[tex]\mathsf{volume \ of \ a \ cone=\dfrac13\pi r^2h}[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies \mathsf{volume \ of \ the \ cone=\dfrac13\pi \cdot a^2\cdot2a=\dfrac23\pi a^3}[/tex]

Hemisphere

[tex]\mathsf{volume \ of \ a \ sphere=\dfrac43\pi r^3}[/tex]

[tex]\implies \mathsf{volume \ of \ a \ hemisphere=\dfrac12 \cdot\dfrac43\pi r^3=\dfrac23\pi r^3}[/tex]

Given

[tex]\implies \mathsf{volume \ of \ the \ hemisphere=\dfrac23\pi a^3}[/tex]

Therefore

volume of cone with radius a = volume of hemisphere with radius a

Part B

[tex]6.82^2\times\sqrt[3]{0.005}[/tex]

Take log of base 10:

[tex]\implies \log_{10}(6.82^2\times\sqrt[3]{0.005})[/tex]

Using log law [tex]\log(a \times b)=\log a+\log b[/tex]:

[tex]\implies \log_{10}(6.82^2)+\log_{10}(\sqrt[3]{0.005})[/tex]

Using low law [tex]\log(a^b)=b \log a[/tex]

[tex]\implies 2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]

Log tables

The characteristic of the logarithm of a number is the exponent of 10 in its scientific notation.

The mantissa is found using the log tables and is always prefixed by a decimal point.

The row is the first two non-zero digits of the number, and the column is the 3rd digit of the number

Use the log tables to find [tex]\log_{10}(6.82)[/tex]:

6.82 = 6.82 × 10⁰

⇒ characteristic = 0

log table:  row 68, column 2 ⇒ mantissa 8338 ⇒ 0.8338

characteristic + mantissa = 0 + 0.8338 = 0.8338

Therefore, [tex]\log_{10}(6.82)=0.8338[/tex]

Use the log tables to find [tex]\log_{10}(0.005)[/tex]:

[tex]0.005 = 5.0 \times 10^{-3}[/tex]

⇒ characteristic = -3

log table: row 50, column 0 ⇒ mantissa 6990 ⇒ 0.6990

characteristic  + mantissa = -3 + 0.6990 = -2.301

Therefore, [tex]\log_{10}(0.005)=-2.301[/tex]

Therefore,

[tex]2\log_{10}(6.82)+\dfrac13\log_{10}(0.005)[/tex]

[tex]\implies 2\cdot0.8338 + \dfrac13 \cdot -2.301[/tex]

[tex]\implies 1.6676 - 0.767[/tex]

[tex]\implies 0.9006[/tex]

Therefore,

[tex]\log_{10}(6.82^2\times\sqrt[3]{0.005})=0.9006[/tex]

Using [tex]\log_{a}b=c \implies a^c=b[/tex]

[tex]\implies 6.82^2\times\sqrt[3]{0.005}=10^{0.9006}[/tex]

[tex]\implies 6.82^2\times\sqrt[3]{0.005}=7.954[/tex]

given for cone:

volume of cone:

[tex]\sf \rightarrow \dfrac{1}{3} \pi r^2h[/tex]

[tex]\sf \rightarrow \dfrac{1}{3} \pi (a)^2(2a)[/tex]

[tex]\sf \rightarrow \dfrac{2\pi a^3}{3}[/tex]

no metal wasted means no volume wasted while melting so volume: same.

volume of hemisphere:

[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3[/tex]

This is equal to the volume of cone.

[tex]\hookrightarrow \sf \dfrac{2}{3} \pi r^3 = \dfrac{2\pi a^3}{3}[/tex]

[tex]\hookrightarrow \sf a^3 = r^3[/tex]

[tex]\hookrightarrow \sf a = r[/tex]

Therefore shown that radius of cone is similar to radius of hemisphere.

(b)

[tex]6.82^2 *\sqrt[3]{0.005}[/tex]

[tex]7.9535[/tex]

[tex]7.95[/tex]

Answer:

3/4

Step-by-step explanation:

Opposite sides of a parallelogram are congruent

6y +3 = 10y

3 = 4y

[tex]\frac{3}{4}[/tex] =  y

Answer:

97

Step-by-step explanation:

4^2+3(37-(2*5))

4^2+3(37-10)

4^2+3(27)

16+3(27)

16+81

=97

Answer:

Step-by-step explanation:

(2*5)=10, 37-10=27, 4^2=16, 3(27)=81, 16+81= 97

Answer:

D

Step-by-step explanation:

If n=minimum number of required words and the essay is 175 words long which is 5 times more words than the minimum number of required words, you multiply n with 5 and equate to 175. To get n, you divide 175 with 5(175/5) which is 35 words.

Answer:

3/5

108

Step-by-step explanation:

Let there are 3x goldfish, then 2x belta fish

total 3x + 2x = 5x fish

so 3x/5x = 3/5 are goldfish.

total fish = 5x = 180, so x = 180/5 = 36

The store has 3x = 3*36 = 108 goldfish.

Based on the quantity of the various items sold at the concession stand, the items that show a linear relationship include:

Items that show a linear relationship are those that are either increasing or decreasing by the same amount overtime.

Change in Hotdogs:

= 142 - 131                                 =  120 - 109

= 11                                             = 11

Hotdogs are changing by the same amount.

Change in Soft drinks:

= 161 - 154                                                       = 147 - 133

= 7                                                                   = 14

Change in Pretzels

= 96 - 64                                    = 120 - 112

= 32                                            = 8

Change in Nachos:

= 111 - 97                                         =  153 - 139

= 14                                                 = 14

Therefore, the only items that are linear are the Hotdogs and Nachos.

Find out more on linear relationships at https://brainly.com/question/837754.

Answer:

DOMAIN : x ∈ (-∞ , -3 )U (4 , ∞) or {x | x ∈ R where x ≠ -3 and 4}

REAL ZEROS : x = 5/3

Step-by-step explanation:

[tex]f(x) = \frac{3x -5}{x^{2} -x-12}[/tex]

factorize the bottom part

[tex]x^{2} - x - 12[/tex]

product = -12 , sum = -1 , factors = -4 and 3

[tex]x^{2} +3x-4x-12=0[/tex]

x (x + 3) - 4(x + 3) = 0

(x - 4) ( x + 3) = 0

x - 4 = 0 and x + 3 = 0

x = 4 and x = -3

for the function f(x) the domain is all real numbers ( R ) except - 3 and 4

Domain = x ∈ (-∞ , -3 )U (4 , ∞)

TO FIND THE ZEROS LET f(x) be equal to zero

[tex]0 = \frac{3x - 5}{x^{2} - x - 12}[/tex]

cross multiply

0 = 3x - 5

find x

3x = 5

[tex]x = \frac{5}{3}[/tex]

i) 15 students

ii) 15 students

Answer:

x = 10√2

Step-by-step explanation:

Value Of X:

the value of x is 10√2 (A)

Answer:

Alan = $6525

Betty = $8700

Carol = $10875

Step-by-step explanation:

Ratio of Investment is:

Alan: Betty: Carol = 3:4:5

Total profit will be divided into 12 portions (3+4+5=12)

Total profit = $26,100

One portion = $26,100/12 = $2175

Alan gets = 2175*3= 6525

Betty gets =2175*4= 8700

Carol gets = 2175*5 = 10875

Answer:

8

Multiply 0.25 by 8 ⇒ 2 [tex]in.[/tex]

I hope this helps!

Answer:

C. (5,7)

Step-by-step explanation:

One endpoint at 1,3 and the midpoint at 3,5Your answer would be to as two to each the x and y of the midpoint. So the answer would be 5,7.

The diamond rule creates a system of equation for variables m and n

The possible values of m and n are 8 and 4 or 4 and 8

The question is incomplete; so I will make use of the attached figure

When the diamond rule is applied to the figure, we have the following equations

[tex]mn = 32[/tex]

[tex]m + n = 12[/tex]

Make n the subject, in the second equation

[tex]n = 12 - m[/tex]

The first equation becomes

[tex](12 - m)m = 32[/tex]

Expand

[tex]12m - m^2 = 32[/tex]

Rewrite as:

[tex]-m^2 + 12m - 32 = 0[/tex]

Multiply through by -1

[tex]m^2 - 12m + 32 = 0[/tex]

Expand

[tex]m^2 - 4m - 8m + 32 = 0[/tex]

Factorize

[tex]m(m - 4) - 8(m - 4) = 0[/tex]

Factorize

[tex](m - 8)(m - 4) = 0[/tex]

Solve for m

m = 8 or m = 4

Recall that:

[tex]n = 12 - m[/tex]

So, we have:

n = 12 - 8 or n = 12 - 4

Solve

n = 4 or n = 8

Hence, the possible values of m and n are 8 and 4 or 4 and 8 (using the attached figure)

Read more about equations at:

https://brainly.com/question/2972832

Answer:

#1) A

#2) B

#3) C

#5) A

#7) D

#10) D

#11) D

#14) A

#15) D

#16) A

#19) D

Step-by-step explanation:

#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:

m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2

Between the second two points,

m=(4-1)/(5-3) = 3/2

Between the third pairs of points,

m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.

#2) Substituting 4 for y and 1 for x,

y = (x+1)²

4 = (1+1)² = 2²

9 = (1+2)² = 3²

16 = (1+3)² = 4²

This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:

m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have

3=(d-5)/(4-2)

3=(d-5)/2

Multiply both sides by 2:

3*2 = ((d-5)/2)*2

6 = d-5

Add 5 to both sides:

6+5 = d-5+5

11 = d

#11) Using point slope form,

y-y₁ = m(x-x₁)

y-1 = 3(x--2)

y-1 = 3(x+2)

Using the distributive property,

y-1 = 3*x + 3*2

y-1 = 3x + 6

Add 1 to both sides:

y-1+1 = 3x+6+1

y=3x+7

#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.

#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.

#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.

i hope this work for you

and sory if im wrang

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

Answer:

SAS I believe or CPCTC depending if that is what you are working on.

Step-by-step explanation:

Step-by-step explanation:

1 1/4

is also 5/4

5/4 * 3 * 1/2 * 40 =

answer in comments

please mark as brainest

The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 3% per year compounded 12 times per year over 1 years is $103.04.

Given data

A = P + I where

P (principal) = $100.00

I (interest) = $3.04

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 100.00(1 + 0.03/12)^(12)(1)

A = 100.00(1 + 0.0025)^(12)

A = $103.04

Learn more about compound interest here:

https://brainly.com/question/24924853

12%

22 + 16 = 38

38 - 32 = 6

6 / 50 = 12 / 100 = 12%

Step-by-step explanation:

Although it is right,

The rule is that we stop factoring, if we can't factor out a constant that isn't 1.

In your example, we can still factor out-1.

The factorization 2x(-7-6x) is not wrong because distributing the outer 2x to each term inside gets us

which leads back to -14x-12x^2

Therefore, 2x(-7-6x) = -14x - 12x^2 is true.

Convention usually has us pull out the negative so the terms inside are all positive. This is just a practice done. There technically isn't any right way vs wrong way to factor, when we compare the two different factorizations. I think it's more of a subjective style than anything.

Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

Given the following data:

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

[tex]y=\frac{1}{2} x+18[/tex]

Substituting the value of x, we have:

[tex]y=(\frac{1}{2} \times 40 )+18\\\\y=20+18[/tex]

y = 38 inches.

Read more on scatterplot here: https://brainly.com/question/6592115