Find the area of the balcony in square feet . Round to the nearest square foot.
A. 22
B. 85
C. 86
D. 96

The wise man is 95 years old.

In order to solve this problem, let's first define the variable x as the wise man's age.

The sentence '500 reduced by twice my age' can be written as:

500 - 2x = 310

Now, let's solve the equation to find the value of x:

Subtract 500 from both sides: -2x = -190

Divide both sides by -2: x = 95

Therefore, the wise man is 95 years old.

Answer:

m∠A = 76° , m∠C = 68° , a = 31.4

Step-by-step explanation:

* Lets revise how to solve a triangle

- In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A

# b is opposite to angle B

# c is opposite to angle C

- m∠B = 36°  

- b = 19  

- c = 30

* To solve the triangle we can use the sin Rule

- In any triangle the ratio between the length of each side  

to the measure of each opposite angle are equal

- a/sinA = b/sinB  = c/sinC

* Lets use it to find a and m∠C

∵ m∠B = 36° , b = 19 and c = 30

∵ 19/sin36° = 30/sinC ⇒ by using cross multiplication

∴ sinC = 30 × sin36° ÷ 19 = 0.928

∴ m∠C = sin^-1(0.928) = 68°

- Find measure of angle A

∵ The sum of the measures of the interior angles in a triangle is 180°

∵ m∠A = 180° - (68° + 36°) = 180° - 104° = 76°

∴ m∠A = 76°

- Now we can Find a

∵ a/sinA = b/sinB

∴ a/sin76° = 19/sin36° ⇒ by using cross multiplication

∴ a = 19 × sin(76°) ÷ sin(36°) = 31.4

* m∠A = 76° , m∠C = 68° , a = 31.4

Answer:

A =75.86, B=36, C=68.14, b=19, c=30, a=31.34

A=32.14, B=36, C=111.86, b=19, c=30, a=17.19

Step-by-step explanation:

We have two sides of triangle (b and c) and an angle (B)

To solve the triangle we use the sine theorem:

[tex]\frac{sin(B)}{b}=\frac{sin(C)}{c} =\frac{sin(A)}{a}[/tex]

We substitute the values of b, B and c in the equation and solve for C

[tex]\frac{sin(36)}{19}=\frac{sin(C)}{30}\\\\sin(C) = 30*\frac{sin(36)}{19}\\\\sin(C) = 0.9281\\\\C=arcsin(0.9281)\\\\C=68.14\°\ \ or\ \ C=111.86[/tex]

The sum of the internal angles of a triangle is 180, then

[tex]68.14 + 36 + A=180\\\\A=180-68.14 - 36\\\\A=75.86\°[/tex]

or

[tex]111.86 + 36 + A=180\\\\A=180-111.86 - 36\\\\A=32.14\°[/tex]

No we find "a" for both cases.

[tex]\frac{sin(36)}{19}=\frac{sin(75.86\°)}{a}\\\\0.03094a=sin(75.86\°)\\\\a=\frac{sin(75.86\°)}{0.03094}\\\\a=31.34[/tex]

or

[tex]\frac{sin(36)}{19}=\frac{sin(32.14\°)}{a}\\\\0.03094a=sin(32.14\°)\\\\a=\frac{sin(32.14\°)}{0.03094}\\\\a=17.19[/tex]

Answer:

D is wrong just took test.... 7√3 and 9√3 is COREECT!

Step-by-step explanation:

Answer:

Step-by-step explanation: the answer is C y= 4x + 2 (usatestprep)

Answer:

C) [tex]y=4x+2[/tex]

Step-by-step explanation:

let's check all the options:

if x = a

[tex]y(a)=8a[/tex]

and now with x = a + 2

[tex]y(a+2)=8(a+2)=8a+16[/tex]

the answer increased by 16. it is not the right option

if x = a

[tex]y(a)=16a[/tex]

and now with x = a + 2

[tex]y(a+2)=16(a+2)=16a+32[/tex]

the answer increased by 32. it is not the right option

if x = a

[tex]y=4a+2[/tex]

and now with x = a + 2

[tex]y(a+2)=4(a+2)+2=4a+8+2=4a+10[/tex]

this time, between [tex]4a+2[/tex] and [tex]4a+10[/tex] there is a difference of 8.

so for this function the statement is true.

Answer: May

Step-by-step explanation: 40/7.3333 equals 5.45 months basically 5 and a half of a month so 5 months which is may

Answer: May

Step-by-step explanation: 40/7.3333 equals 5.45 months basically 5 and a half of a month so 5 months which is may

Answer:

David will make $481 (he earns the bonus)

Explanation:

If he makes $1 for each order and he filled out 385 orders, then why can't we say he made $385?

Because of this statement rights here:

"...and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20."

So we need to find out if any of the 3 weeks has an average of 20+ orders per day.

(x is the amount of orders he fills out)

profit = $1x

if any average orders per day is > 20 in any week

bonus profit = $1.25x

first week     second week

             3a : 2a

first week   third week

           4a : 5a

sum of all ratios of a = 385

So we have

3a : 2a (first week to second week)

4a : 5a (first week to third week)

Notice how the first two numbers are both from the first week. Let's use the Least Common Multiple to make them equal while still keeping ratios.

LCM of 3 and 4: 12 = 3 * 4

12a : 8a ( times 4 )

12a : 15a ( times 3 )

Now that we have the same value, we can create a big ratio

first week second week third week

   12a     :        8a          :      15a

we know that these ratios will all equal 385. Since ratios are equal no matter how big we make them, we can say that

12a + 8a + 15a = 385 (a is a variable to scale up the ratio)

which is the same as

(12 + 8 + 15) * a = 385

(35) * a = 385

35a = 385

if we solve for a by dividing 35 on both sides we get

a = 11

This gives us how much to multiply the RATIO by to get the ACTUAL NUMBER of orders completed. Let's plug 11 for 'a' and see what happens.

12a + 8a + 15a = 385

12(11) + 8(11) + 15(11) = 385

132 + 88 + 165 = 385     (Check that out, the number of orders each week!)

220 + 165 = 385

385 = 385

Bingo! All the math works out. So, looking back at the verryyy top of this problem, the reason why it wasn't as easy as $385 was because of the bonus.

The bonus gives David $1.25 per order instead of $1 per order if any of the weeks have an average ORDER PER DAY of anything bigger than 20. If we know the real numbers of orders for every week (132, 88, and 165), then we can divide it by 7 to get the average order per day. Let's choose 165 (the third week) because it is the biggest and has the greatest chance of meeting our goal.

165 orders / 7 days (7 days in a week) = 23.57 orders per day

Is this greater than 20 orders per day?

YES!

So now we can safely say that the bonus is there or not, and in this case, the bonus IS there because there is a week where David had more than 20 orders per day.

So instead of using

profit = $1x

We will use

bonus profit = $1.25x

(x is the amount of orders completed)

So if we know he completed 385 orders, and we know he earned the bonus, we plug in 385 for x for the bonus function

bonus profit = $1.25x

bonus profit = $1.25 * 385

bonus profit = $481.25

If necessary, round your answer to the nearest dollar.

So for the very end, all we have to do is round it to the nearest dollar.

$481.25 rounds to $481.

And we're done!

Answer:

426

Step-by-step explanation:

the three totals of orders per week were 132, 88, and 165. David gets a 25 cent bonus only if the average was 20 or more per day in the week, so we divide by 7 to each. The only one that ends up with a quotient greater than 20 is 165 so we do 165*1.25=206.25. we now add up the three totals. 132+88+206.25=426.25. Now we round to the nearest dollar which is 426. And thats our answer!

Sorry if it is a bad explanation.

Hope this helps :)

the answer is 84

hope this helps you!!

Answer:

168 in

Step-by-step explanation:

The answer to your question would be true.

Similarly to fact that a two-order uses two equations, and a three-order system uses three, so a four-order uses four. Basically, just remember that the number of equations matches the number of the order.

Answer:

True

Step-by-step explanation:

a two-order uses two equations, and a three-order system uses three, so a four-order uses four. Keep going to n-order system.

Answer:

222 ft/sec

Step-by-step explanation:

Essentially you're being asked to find the unit speed (that is, distance per sec).

1000 ft

------------ = 222 feet/sec is the approx. average speed / unit speed

4.5 sec

Answer:

Anna needs 12 cups.

Anna needs twice as many cups of milk as pints, so for 6 pints she needs 12 cups of milk.

The student is asking how many cups of milk are needed if Anna needs 6 pints to make yogurt. To answer this, we need to use the conversion that 1 pint is equal to 2 cups. Therefore, if Anna needs 6 pints of milk, we calculate the number of cups needed by multiplying 6 by 2.

Step-by-step conversion

Understand the conversion ratio: 1 pint = 2 cups.

Multiply the number of pints Anna needs by the conversion ratio: 6 pints × 2 cups/pint.

Calculate the total number of cups: 12 cups of milk.

So, Anna will need 12 cups of milk to make her yogurt.

For this case we have that by definition, the distributive property establishes that:

[tex]a (b + c) = ab + ac[/tex]

Then, given the following expression:

[tex]5y (8y-3)[/tex]

We can rewrite it as:

[tex](5y) (8y) - (5y) (3) =\\40y ^ 2-15y[/tex]

Thus, we have that the expression obtained is an expression equivalent to the given one.

ANswer:

[tex]40y ^ 2-15y[/tex]

Answer:

1- D   2-A

number one: you multiply all the numbers together...

number two: you add the numbers together and i got A because if you add it all up, it is 42.593 and that is greater than 42.537.

hope dis helps! :p

Answer:

Final answer in standard form of the line is [tex]4x+y=5[/tex].

Step-by-step explanation:

Given that slope of the lime m = -4

Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.

So plug the given slope m=-4 and the point (0,5) into point slope formula:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=-4\left(x-0\right)[/tex]

[tex]y-5=-4\left(x\right)[/tex]

[tex]y-5=-4x[/tex]

[tex]y=-4x+5[/tex]

[tex]4x+y=5[/tex]

Hence final answer in standard form of the line is [tex]4x+y=5[/tex].

Answer:

The equation of this line in standard form is

[tex]4x + y = 5[/tex]

Step-by-step explanation:

To find the equation of a line we need to know two points by which the line passes. You can also find the equation if you know a point through which the line passes and its slope.

For the equation of the line:

[tex]y = mx + b[/tex]

m is the slope and b is the section.

Sane that

[tex]m = -4[/tex]

To find b we substitute the point (0,5) in the equation and solve for b[tex](5) = -4 (0) + b[/tex]

[tex]b = 5[/tex]

The equation is

[tex]y = -4x +5.[/tex]

We rewrite the equation as:

4x + y = 5

Answer:

[tex]g(x)=(\frac{1}{4}x)^2[/tex]

Step-by-step explanation:

The given functions are;

[tex]f(x)=x^2[/tex]

The function g(x) is a vertical stretch of f(x) by a factor of 'a' units, therefore we can write g(x) in terms of f(x).

This implies that;

[tex]g(x)=a\bullet f(x)[/tex]

[tex]\implies g(x)=a\bullet x^2[/tex]

The graph of g(x) passes through (4,1).

[tex]\implies g(4)=1[/tex]

[tex]\implies a(4^2)=1[/tex]

[tex]\implies 16a=1[/tex]

[tex]\implies a=\frac{1}{16}[/tex]

This implies that;

[tex]\implies g(x)=\frac{1}{16}x^2[/tex]

Or

[tex]g(x)=(\frac{1}{4}x)^2[/tex]

Answer IN THE PICTURE BELOW

G(X)=(1/4X)^2

12 to 20 is 60 percent

12 is 60% of 20

To find the percent you must divide to two numbers 12 and 20. You then get 0.6 which is 60 percent because 6 is in the tenths place which also determines how many zeros there are.

Answer:

The Answer is 2

Step-by-step explanation:

The reason why it is 2 is because just say that If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

The value of expression 4 divided by one half would be; 8

Known that 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Since Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.

We need to find the expression of 4 divided by one half.

A negative divided by a negative is positive;

4 / 1/2

4 x 2 = 8

Therefore, The value of expression 4 divided by one half would be; 8

Learn more about division here:

brainly.com/question/26411682

#SPJ6

Answer:

I believe the answer is A

Hope This Helps!    Have A Nice Day!!

For this case we must indicate an expression equivalent to:

[tex]log (750) = x[/tex]

For properties of logarithm we have to:

[tex]log_ {b} (x) = y[/tex]is equivalent, in its exponential form to:

[tex]b ^ y = x[/tex], where [tex]x> 0, b> 0[/tex] and b different from 1.

In this case:

[tex]b = 10\\x = 750\\y = x[/tex]

So:

[tex]10 ^ x = 750[/tex]

ANswer:

Option D

The answer is 4/9.

First you’d find the least common denominator for the fractions,, which would be 9.

You then multiply the first fraction by 3 to make it equal to 9.

The new equation would be -3/9+7/9.

Add it up, and it would equal 4/9.

-1/3+7/9

-1/3=-3/9

-3/9+7/9=4/8

The answer would be A, 2 1/2 hours.

Hope I helped!

~Mschmindy

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The answer would be A) 2 1/2 hours.

Answer:

Q1: -2

Q2: 13

Q3: 15

Q4: -12

Q5: 7

Q6: -4

Q7: 12p + 3

Answer:

x=19

Step-by-step explanation:

Answer:

I believe 38...

Step-by-step explanation:

13. x≤-3

14. x<1 1/2

:) :) :)

1 inch is 2 feet. So we use this and ask: 6 inch is 6 × 2 feet which is 12 feet. We do this again with 10 inch × 2 is 20 feet.

So the answer is D. 12 feet by 20 feet.

Hope this helps.

r3t40

Answer:

the correct answer is the letter X

Step-by-step explanation:

because the shaded sides are between the two larger rectangles

I believe the answer your looking for is “X”

i think the answer is 8

Im doing this question rn and I believe the answer should be C) the ratio of the student body that are in 12th grade and play two or more sports.

Step-by-step explanation: I chose this bc there are 28 12th graders that play 2 or more sports and the total student body is 612. So 28/612 makes most sense to me. Sorry this is so late but I just checked and it’s right!

Answer:

c

Step-by-step explanation:

Answer:

Event A = white marble is selected

Event B = blue marble is selected

P(A) = 5/10 = 1/2

p(B) = 5/10 = 1/2

Probability that A and B are independent events is:

P(A∩B) = 1/2 × 1/2

Answer: 1/4

Answer:  C) P(A and B) = 1/2  1/2

Answer: The vertex is 1

Step-by-step explanation:

The vertex is the line that passes through the center of the parabola

Answer:

Answer C is correct.

Step-by-step explanation:

f(x) clearly has a maximum:  y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down.  Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false.  Both functions have max values.

Answer B is false.  One max is y = 10 and the other is y = -10.

Answer C is correct.  The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false.  See Answer B, above.

Answer:

So sorry can you type in english to understand

Step-by-step explanation: