if b=49 degrees 13' and b=10 find a

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Work Shown:

Let's call the "height" to be the "width".

The area of a rectangle is

area = length*width

We're told the width is 8.5 feet

If the length is some unknown variable L, then

area = length*width

area = L*8.5

area = 8.5L

We want the area to be at least 76.5 square feet

This means 8.5L is either equal to 76.5, or larger than it

[tex]\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\[/tex]

This shows the length can be 9 feet or larger.

In other words, the minimum length is 9 feet.

1. Divide total quantity by serving size:

30 cups / 1 1/4 cup per serving =

30/1.25 = 24 servings.

2. Length of side of larger rectangle = 24

Length of side of smaller rectangle = 8

The scale factor of larger to smaller = 8/24 = 1/3

Scale factor is 1/3

Answer:

400

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because it is equal to 90

Answer:

accutally the answer is no i had the same thing

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

Answer:

[tex]12x+10y-5[/tex]

Step-by-step explanation:

[tex]4y+13x-5+6y-x[/tex]

Combine the like terms

[tex]12x+10y-5[/tex]

Answer:

i would recommend not posting pictures because i cannot see them

Step-by-step explanation:

Answer:

y=-x-3

Step-by-step explanation:

Formula (point slope): y-y1=m(x-x1)

y-(-3)=-1(x-0)

(distribute the -1)

y+3=-1x+0

(combine like terms)

y=-1x-3

Answer:

-360y^9z^2

[tex]-360y^9z^2[/tex]

Step-by-step explanation:

4/16(100)

Step-by-step explanation:

Answer:

4/16(100)

Step-by-step explanation:

Answer:

1.23 × [tex]10^{-5}[/tex]

Step-by-step explanation:

A number expressed in standard form has the form

a × [tex]10^{n}[/tex]

where 1 ≤ a < 10 and n is an integer

Express the number given as a number between 1 and 10, that ia

1.23 × [tex]10^{n}[/tex]

We require to obtain the original number by moving the decimal point by moving the decimal point back 5 places to the left.

Move to the right then n > 0

Move to the left then n < 0

Thus

0.0000123 = 1.23 × [tex]10^{-5}[/tex]

Answer:

25 percent

Step-by-step explanation:

60*.25 is 15

60-15 is 45. it is 15 dollars off or 25 percent off

Answer:

21 or 12

Step-by-step explanation:

Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).

So, the number of the other house is “yx”, whose numerical value = (10y + x).

Let, “xy” > “yx”.

Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.

Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).

So, (x - y) = 8.

Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:

I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.

II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.

So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).

A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number

Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number

For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81

As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91

When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80

Answer:

6

Step-by-step explanation:

First you multiply both sides by 3. Than you simplfiy. Next you add 24 to both sides. Simplify. Finally you divide both sides by 12 & simplify. Which should give you 6.

(Answer = 6)

Answer:6

Step-by-step explanation:

Answer:

8.1 x 8.95 = 72.495

Step-by-step explanation:

Feet x $f = $$$

Answer:

5

Step-by-step explanation:

Answer:

A. (-.5, 3)

B. y=-2x+2

C. y=-2x+7

Step-by-step explanation:

A. Midpoint formula, M=[tex]\frac{x_{1 }+x_{2}}{2} + \frac{y_{1 }+y_{2}}{2}[/tex]

B. Find the slope given Δy/Δx which just means change in y over change in x. -2-8/2-(-3) which is -10/2 which reduces to a slope of -2. Then use the point slope equation [tex]y- y_{1}=m(x-x_{1} )[/tex] where you fill in -3 for for x1 and 8 for y1. Solving for y gives you y=-2x+2

C. If a line is parallel to another line then they have the same slope, so the y=-2x part stays the same. What is different, though, is the y intercept. Luckily the y intercept is given in the problem, as the problem says the line passes through 0,7 so we know that this is the intercept. Thus, we know the equation is y=-2x+7

D. I'm not sure on this one, sorry. You can look up slope in ax+by+c=0 form though

Answer:The awnser Is this

Positive Roots: 2 or 0

Negative Roots: 1

Answer:

(0, 3)

Step-by-step explanation:

If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)

Let us assume B to be at (x, y), hence:

[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]

Therefore the location of B is (0, 3)

Answer:

(0, 3)

Step-by-step explanation:

Answer:

0

please check the attached image for a number line

Step-by-step explanation:

Because Mr Samuels account is in the red, his account would be in the negative. Cash additions to the account would be an addition to the account. This would reduce the negative amounts in the account

-$50 + $12 + $24 + $14 = 0

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

sry if im wrong hope this helps

brainliest? please?

Answer:

15. -140.008

16. [tex]j = \frac{17-15q}{4}[/tex]

17. [tex]q = \frac{17 - 4j}{15}[/tex]

Step-by-step explanation:

15. -2.3(8.6)²+ 3.5(8.6)= -140.008

16.

15q + 4j = 17

4j = 17 - 15q

[tex]j = \frac{17-15q}{4}[/tex]

17.

15q + 4j = 17

15q = 17 - 4j

[tex]q = \frac{17 - 4j}{15}[/tex]

Answer:

3 and 5

Step-by-step explanation:

If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.

Answer:

The correct options are;

A) It can provide better estimates than s simple random sample

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study

E) Creating strata of similar individuals reduces variability

Step-by-step explanation:

In order to reduce the variance in the population being studied the stratified sampling technique is used which consists of separating the given sample from the population into different strata based on known characteristics and finding out the result of the experiment in each strata. Each strata posses a common or shared attribute such as educational level or total level of income.

The statements that apply to stratified random sampling are;

A) It can provide better estimates than a simple random sample.

B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.

D) Creating strata of similar individuals to sample from reduces variability.

E) It can be difficult to obtain with a very large population.

Stratified random sampling is a method of sampling from a population that involves dividing the entire population into homogeneous groups that called strata.

The way it is done is that a random sample from each stratum is usually taken in a number that proportional to the size of the stratum if we compare it to the population size.

From the definitions above, the options that apply are, A, B, D and E.

Read more about stratified random sampling at; https://brainly.com/question/1954758

Answer:its c

Step-by-step explanation: