Triangle ABC has the following angle measures; The measure of angle B is 38, the measure of angle C is 56, what is the angle measure for angle A?

Answer:

5/2

Step-by-step explanation:

2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2

To generate a list of product names and unit prices ranked by unit price into three categories (1, 2, 3) based on price, you can use a SQL query with the RANK() function.

The highest-priced products will be marked with a 1, the second-highest-priced products with a 2, and so on.

In SQL, you can use the RANK() function along with the ORDER BY clause to rank the products based on their unit prices. The RANK() function assigns a rank to each row in the result set based on the specified ordering criteria. Here's an example SQL query to achieve this:

In this query, products is the name of the table containing the product information. We select the product_name and unit_price columns from the table. The RANK() OVER (ORDER BY unit_price DESC) part ranks the rows based on the unit_price column in descending order, with the highest prices receiving a rank of 1.

The result of this query will include the product names, unit prices, and the assigned price ranks. You can then filter the results based on the price ranks to categorize the products into three categories (1, 2, 3) based on their price rankings.

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The quadrilateral that is illustrated based on the information and diagram is a square.

A quadrilateral is a plane figure with four edges and four corners, also known as vertices. The quadrilateral's four vertices or corners all have angles. A quadrilateral has four straight sides and is a two-dimensional shape. Parallelograms, trapezoids, rectangles, kites, squares, and rhombuses are a few examples of quadrilaterals.

A quadrilateral with four equal sides and angles is called a square. Due to its equal sides and angles, it is also a regular quadrilateral. A square has four 90° angles, just like a rectangle does. It can also be thought of as a rectangle with equal lengths on its two adjacent sides. A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a right angle or 90 degrees.

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the answer is a x equal to or greater than

graph B is the correct answer

We know that

• The principal is $300.

• The interest rate is 4%.

• The compounding period is monthly.

• The time is 8 years.

We have to use the compound interest formula

Where P = 300, r = 0.04, n = 12, t = 8. Using these values, we have the following

Answer:

-2xy+3x

Step-by-step explanation:

xy + 4x – 3xy – x: You need to collect like terms

-2xy+4x-x

-2xy+3x

Your final awnser would be -2xy+3x

Answer:

-187

Step-by-step explanation:

2*2-45+2-4*37

(multiply)

4-45+2-148

(calculate)

-187

Answer:

26.a

27 c

28.a

Step-by-step explanation:

Answer:

C; right answer on Khan Academy

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

0.00825814344701024621501758678697

Step-by-step explanation:

Use a calculator please<3

Answer:

Step-by-step explanation:

first i would combine like terms so 1/4a + 1/3a is equal to 7/12 then the equation would be 7/12a+8=22 simplify the isolate the variable so i think it A=24

Answer:

Hey there!

Step-by-step explanation:

Equation: 1/4a + 1/a + 8 = 22

(The answer is 24)

(You have to do 3 steps in order to solve this question! The steps are below!)

~1. First you have to simplify both sides of the equation.

=> (1/4a + 1/3a) + (8) = 22

=> 7/12a + 8 = 22

~2. Next, subtract 8 from both of the sides.

After you do that you will get, 14

7/12a=14

~3. Lastly, you just multiply both sides by 12/7.

(12/7) x (7/12a)

(12/7) x (14)

~Therefore, A would equal to 24.

A=24

~Hope this helps!

~Good luck! :)

~If you still don’t understand, ask for help! (I would be glad to answer any questions you have! :D )

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

See picture below

Step-by-step explanation:

Answer:

7. 2^-5= 1/2^5= 1/32

8. (4/5)^-3= (5/4)^3=125/64

9. 8^-4/8^-7=8^-4+(-7)=8^11=216

10. (1/3)^-2 x (1/3)^2=(1/3)^-2+2=(1/3)^0=1

The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

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Answer: 16 posters

Step-by-step explanation:

Monday - Had owned 16 posters

Tuesday - Bought 4 posters, adding up to 20

Wednesday - Half of the posters were destroyed, half of 20 is 10

Thursday - 10 posters remained.

Answer:

She had 16 posters on Monday.

Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35  so unless you have to simplify this should be the answer

The area of the composite figure is equal to 216 square inches

The composite figure can be observed to be made up of six identical squares, so we shall calculate for the area of one square and then multiply the result by six to get the total area of the composite figure as follows:

area of a square = length²

area of the one square = 6 in × 6 in

area of the one square = 36 in²

total area of the composite figure = 36 in² × 6

total area of the composite figure = 216 in²

Therefore, the area of the composite figure is equal to 216 square inches.

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There are 336 ways for the 8 team entrants to achieve the desired outcome of first, second, and third place positions.

The problem involves selecting 3 individuals out of 8 to fill the 1st, 2nd, and 3rd place positions. Since the order in which the individuals are selected matters, we need to use the permutation formula to determine the total number of ways to achieve the desired outcome.

The formula for permutation is:

P(n,r) = n! / (n-r)!

Where n is the total number of individuals, and r is the number of positions to be filled.

In this case, we need to select 3 individuals out of 8 to fill the 1st, 2nd, and 3rd place positions. Using the permutation formula, we get:

P(8,3) = 8! / (8-3)!

= 8! / 5!

= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (5 x 4 x 3 x 2 x 1)

= 8 x 7 x 6

= 336

In other words, the coach has 336 possible ways to select three team members for the podium, assuming all team members have an equal chance of winning.

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Answer:

D

Step-by-step explanation:

the awnser would be d

The awnser would be d because there is no number sequences to make a variable because it is just telling you that mar rented the jet ski

Answer:

No it is false... Because negative number are smaller than positive number however possible numbers were very small

Answer:

No it is false... Because negative number are smaller than positive number however possible numbers were very small

Step-by-step explanation:

Answer:

x= -7/2

y= 5/4

Step-by-step explanation:

x-2y=-11

x+2y = -6

then isolate x and set equal to each other

-2y - 6 = 2y -11

4y = 5

y = 5/4

then solve for x using y.

x+5/2 = -6

x = -7/2

Recall that in one foot, there are 12 inches. Let's use this conversion to convert 546 inches in feet.

Divide 546 inches by 12 inches.

Hence, 546 inches is equivalent to 45.5 feet.

The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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The area of the sector is 72f

The given parameters are:

Angle = f

Diameter = 24

Start by calculating the radius

r = Diameter/2

r = 24/2

r = 12

The area of the sector is

A = (θ/2) × r^2

So, we have

A = (f/2) * 12^2

Evaluate

A = 72f

Hence, the area of the sector is 72f

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The expression for the number of bacteria after t hours is N(t) = 50e\(^(0.4427t)\) , rounded to four decimal places.

Let N(t) be the number of bacteria after t hours.

Since the culture grows at a rate proportional to its size, we can write:

dN/dt = kN

where k is the proportionality constant.

This is a separable differential equation, which we can solve by separating the variables and integrating:

dN/N = k dt

ln(N) = kt + C

where C is the constant of integration.

To find the value of C, we use the initial condition that the culture initially contains 50 cells:

ln(50) = k(0) + C

C = ln(50)

Substituting C into the previous equation, we get:

ln(N) = kt + ln(50)

Taking the exponential of both sides, we obtain:

N = e\(^(kt + ln(50)) = 50e^(kt)\)

Now we need to find the value of k. We know that after 1.5 hours, the population has increased to 825:

N(1.5) = 825

Substituting this into the previous equation, we get:

825 = 50\(e^(1.5k)\)

Taking the natural logarithm of both sides, we obtain:

ln(825/50) = 1.5k

k = ln(825/50) / 1.5

k ≈ 0.4427

Finally, substituting this value of k into the expression we obtained for N(t), we get:

N(t) = 50e\(^(0.4427t)\)

Therefore, the expression for the number of bacteria after t hours is N(t) = \(50e^(0.4427t)\), rounded to four decimal places.

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Answer:

  3 -√7

Step-by-step explanation:

You want to rationalize the denominator of 2/(3 +√7).

The denominator of such an expression is turned to an integer by multiplying numerator and denominator by the conjugate of the denominator.

  \(\dfrac{2}{3+\sqrt{7}}=\dfrac{2}{3+\sqrt{7}}\cdot\dfrac{3-\sqrt{7}}{3-\sqrt{7}}=\dfrac{2(3-\sqrt{7})}{3^2-7}=\boxed{3-\sqrt{7}}\)

__

Additional comment

This process takes advantage of the factorization of the difference of squares:

  a² -b² = (a +b)(a -b)

If 'b' is a value that can be made a rational real number by squaring it, then this multiplication by the conjugate can achieve that end. The conjugate of a sum is the corresponding difference.

This process is also used with complex numbers, since i² = -1, a real number.

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)