Given: △AKM, KD ⊥ AM , AK = 6, KM = 10, m∠AKM = 93º Find: KD

The graph of the absolute value function can be seen in the image below.

Here we have the absolute value function:

h(x) = -|x + 2| + 4

To graph it we need 3 points, one at the vertex x = -2

h(-2) = -|-2 + 2| + 4 = 4

So the point is (-2, 4)

And other two points at the right and left of x = -2, I will use x = 0 and -4.

h(-4) = -|-4 + 2| + 4 = 2

h(0) = -|0 - 2| + 4 = 2

Then we have the points (0, 2) and (-4, 2)

Now to graph the function just connect the point (-2, 4) with (0, 2) and with (-4, 2) using two rays.  The graph can be seen below.

If you want to learn more about absolute value functions:

https://brainly.com/question/3381225

#SPJ1

Answer:

3

Step-by-step explanation:

There are 15 shells all together

there is 5 friends

15 divided by 5 is 3

Therefore  the answer is three

Answer:

Each friend got 3 sea shells

Step-by-step explanation:

8+7=15 then they divided it up equaly to their 5 friends so 15/5=3 so each friend got 3 sea shells

Answer:

[tex]\displaystyle 6 = x[/tex]

Step-by-step explanation:

Since DF is a SEGMENT BISECTOR, you set 15x and 8x + 42 equal to each other:

8x + 42 = 15x

- 8x - 8x

___________

[tex]\displaystyle \frac{42}{7} = \frac{7x}{7} \\ \\ 6 = x[/tex]

I am joyous to assist you anytime.

Answer:The perimeter of parallelogram PQRS = 2\sqrt{10}+8\sqrt{2} ⇒

2nd answer

Step-by-step explanation:* Lets revise some properties of the parallelogram

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its perimeter is the twice the sum of two adjacent sides

* Lets solve the problem

∵ PQRS is a parallelogram

∵ The length of side SR is

∵ The length of side QR is

∵ SR and RQ are two adjacent sides

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS =

∵  =

∵  =

∴ The perimeter of parallelogram PQRS =

Answer:

Option B.

Step-by-step explanation:

It is given that the sides of an equilateral triangle are 8 units long.

Draw an altitude of the triangle.

Altitude of an equilateral triangle is perpendicular bisector.

Let x be the length of the altitude of the triangle.

According to the Pythagoras theorem

[tex]hypotenuse^2=base^2+perpendicular^2[/tex]

Using Pythagoras theorem we get

[tex]8^2=4^2+x^2[/tex]

[tex]64=16+x^2[/tex]

[tex]64-16=x^2[/tex]

[tex]48=x^2[/tex]

Taking square root on both sides.

[tex]\sqrt{48}=x[/tex]

[tex]4\sqrt{3}=x[/tex]

The length of the altitude of the triangle is 4√3 units.

Therefore, the correct option is B.

Answer:

The sides of the triangle are proportional so the length of GE=18 cm

Answer:

33 students

Step-by-step explanation:

Without any other data to go by, guess and check is the only method we can use. Staying in a 4:7 ratio, only one combination gives a total student number between 24 and 40, with 12 boys and 21 girls.

4 + 7 = 11

8 + 14 = 22

12 + 21 = 33

16 + 28 = 44

Answer:

D. the starting balance of the savings account

Step-by-step explanation:

Final answer:

The 5.00 in the function f(x) = 5.00(1.012)^x represents the starting balance of the savings account, corresponding to the initial amount of money deposited.

Explanation:

The student used the function f(x) = 5.00(1.012)^x to show how the balance in a savings account increases over time. In this context, the 5.00 represents the starting balance of the savings account. This is because the function for exponential growth in the context of compound interest is typically written as P(1 + r)^t, where P is the principal amount (the initial amount of money), r is the annual interest rate (expressed as a decimal), and t is the time the money is invested for. In the given function, the 5.00 corresponds to P, which confirms that it is indeed the starting balance. Thus, the correct answer is D.

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To find out how much she will have after 3 years, we use the formula for continuous compound interest and find that the total in the account, rounded to the nearest dollar, is $4513.

The subject is continuous compound interest, which differs slightly from simple interest. In Mika's case, she placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To calculate the total amount after 3 years, we use the formula A = P * e^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), and t is the time in years.

So A = $4200 * e^(0.023 * 3). When we calculate this, we find that the total in the account, rounded to the nearest dollar, is $4513.

https://brainly.com/question/32594953

#SPJ12

Answer:

-2/3

Step-by-step explanation:

m=(6-4)/(-2-1)=2/-3=-2/3

Answer:

-8 , 5

Step-by-step explanation:

Answer:

First Sibling gets $4000

Second Sibling gets $8000

Third Sibling gets $12,000

Fourth Sibling gets $16,000

Step-by-step explanation:

A ratio of 2:4:6:8 means that

First sibling gets 2 parts of total

Second sibling gets 4 parts of total

Third sibling gets 6 parts of total

Fourth sibling gets 8 parts of total

Now, how many parts are there??

2 + 4 + 6 + 8 = 20 parts

Now, we divide the total inheritance ($40,000) in 20 parts, so each part is worth:

40,000/20 = $2000

Hence,

First Sibling gets = 2000 * 2 = $4000

Second Sibling gets = 2000 * 4 = $8000

Third Sibling gets = 2000 * 6 = $12,000

Fourth Sibling gets = 2000 * 8 = $16,000

Answer:

0.02x + 0.28y = 0.5 is the required answer.

Step-by-step explanation:

Given:

[tex]4x+56y=100[/tex]

To Find :

Expression when it is divided by 200.

Solution:

[tex]4x+56y=100[/tex]

After Dividing both the side by 200 we get

[tex]\frac{4x}{200}+ \frac{56y}{200}= \frac{100}{200}\\\frac{x}{50}+ \frac{14y}{50}= \frac{1}{2}\\\therefore 0.02x+0.28y=0.5[/tex]

Which is the required Expression after Dividing by 200.

∴ 0.02x + 0.28y = 0.5 is the required answer.

Answer:

[tex]\large \boxed{\text{A. $\sqrt{194}$}}[/tex]

Step-by-step explanation:

We can use Pythagoras' Theorem.

[tex]\begin{array}{rcl}a^{2} & = & b^{2} + c^{2}\\& = & 5^{2} + 13^{2}\\& = & 25 + 169\\& = & 194\\a & = & \sqrt{194}\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{\sqrt{194}}}$}[/tex]

Step-by-step explanation:

1.

4:15 p.m. to 5.00 p.m. → 45min

5:00 p.m. to 10:00 p.m. → 5h

Answer: 5h 45min

2.

3:45 a.m. to 4.00 a.m. → 15min

4.00 a.m. to 12:00 p.m. → 8h

Answer: 8h 15min

3.

1:15 p.m. to 2:00 p.m. → 45min

2:00 p.m. 8:00 p.m. → 6h

8:00 p.m. to 8:11 p.m. → 11min

Answer: 6h (45 + 11)min = 6h 56min

4.

2:37 a.m. to 3:00 a.m. → 23min

3:00 a.m. to 3:15 a.m. → 15min

Answer: (23 + 15)min = 38min

5.

11:59 a.m. to 12:00 p.m. → 1min

12:00 p.m. to 1:00 p.m. → 1h

1:00 p.m. to 1:01 p.m. → 1min

Answer: 1h (1 + 1)min = 1h 2min

Answer:

5 sqrt(3)

Step-by-step explanation:

Simplify the following:

2 sqrt(3) + 3 sqrt(3)

2 sqrt(3) + 3 sqrt(3) = 5 sqrt(3):

Answer: 5 sqrt(3)

[tex]\Huge{\underline{\underline{\mathttt{Answer \colon}}}}[/tex]

Acceleration of the object

Since,

[tex] \huge{ \boxed{ \boxed{\texttt{f = ma}}}}[/tex]

[tex] \leadsto \: \sf{a = \frac{f}{m} } \\ \\ \leadsto \: \sf{a = \frac{30}{6} } \\ \\ \huge{ \green{ \leadsto \: \mathtt{f = 5 \: ms {}^{ - 2} } }}[/tex]

Answer:

5 meters per second

Step-by-step explanation:

its basic math people

Answer:

hypotenuse is not a rational number

Step-by-step explanation:

In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by

[tex]h^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

Here,

         a= 4 in.        [Given]

          b = 6 in.       [Given]

Thus ,

  [tex]h^{2}[/tex]  = [tex]4^{2}[/tex] + [tex]6^{2}[/tex]

  [tex]h^{2}[/tex]  =  16 + 36

  [tex]h^{2}[/tex]  = 52.

   h = [tex]\sqrt{52}[/tex]  = 7.21110255......

Clearly, h is not a rational number

Answer:

Sometimes

Step-by-step explanation:

If the shapes' sides are congruent? Using congurent triangles to prove

300 grams of carbohydrates are recommended per day.

Step-by-step explanation:

Carbohydrates in each serving = 36g

This counts 12% of daily value.

Let,

x be the total daily value.

According to given statement;

12% of x = 36g

[tex]\frac{12}{100}*x=36\\0.12x=36\\[/tex]

Dividing both sides by 0.12

[tex]\frac{0.12x}{0.12}=\frac{36}{0.12}\\x=300\ g[/tex]

300 grams of carbohydrates are recommended per day.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

Final answer:

To find the recommended daily amount of carbohydrates, divide the amount per serving (36g) by the daily value percentage (12%) and multiply by 100. The recommended amount is 300 grams of carbohydrates per day.

Explanation:

If a nutrition label states that there are 36g of carbohydrates in each serving and this amount is 12% of the daily value, we can calculate the recommended daily amount of carbohydrates by setting up a simple equation where 36g represents 12%.

To find the full 100%, we divide 36g by 12% and then multiply by 100%.

The calculation steps are as follows:

Divide the amount of carbohydrates in one serving (36g) by the percentage they represent of the daily value (12%). This gives us the amount of carbohydrates per 1% of the daily value.

Multiply the result from step 1 by 100 to find the amount of carbohydrates representing 100% of the daily value, which is the total daily recommended amount.

Calculation:

36g / 12% = 3g per 1% of daily value

3g per 1% * 100 = 300g

Therefore, the recommended daily amount of carbohydrates is 300 grams

You add 1/6 to both sides

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Add 1/6 to both sides

Answer:

x=3

Step-by-step explanation:

16-x=x+10

16-x-x=10

16-2x=10

2x=16-10

2x=6

x=6/2

x=3

the answer will become 10%

Answer:

empire: 25/100 or 25% ,

mclntosh : 30/100 or 30%,

fuji : 45%

Step-by-step explanation:

the part-to-whole ratio of empire type apples will be [tex]\frac{25}{100}[/tex]

30% of 100 acres = [tex]\frac{30}{100} *100=30 acres[/tex]

= 100-25-30

=45 acres

Answer:

5

Step-by-step explanation:

You have $20, and your mom gives you $5. You have $25 on total. If you divide 25 by 5, you get 5. So the answer is 5.

Answer: you have $20 mom gives you $5 you now have $25 each gift costs $5 25 divided by 5 is 5

Step-by-step explanation:

Answer:

C. 3

Step-by-step explanation:

In arithmetic, the range of a set of data is the difference between the largest and smallest values. However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.

2 - (-1) = 3

6 - 3 = 3

etc...

Answer:

7 months

Step-by-step explanation:

Answer:

{a}p + 0.2m = 6

   0.8m = 4

or 5p + m = 30

   m = 5

{b} 5 lb peanuts and 5 lb mixture

Step-by-step explanation:

m1 → desired mixture with composition : 60% peanuts and 40% almonds and weight : 10 lb

⇒weight of peanuts in m1 = 60% × 5 = 6 lb

and weight of almonds in m1 is 4 lb

m2 → mixture with composition : 20% peanuts and 80% almonds and weight : m pounds

⇒weight of peanuts in m2 = 0.2m

and weight of almonds in m2 = 0.8m

p → weight (in pounds) of peanuts added to m2 to make m1

{a}

add p pounds of peanuts to m2 to make m1

equating weights of peanuts and almonds:

p + 0.2m = 6

0.8m = 4

{b}

equation gives m = [tex]\frac{4}{0.8}[/tex] ⇒ m = 5 lb

Using this in the [tex]1^{st}[/tex] equation:

p + 1 = 6 ⇒ p = 5 lb

Answer:

a) p + m = 10 and [tex]\frac{p + 0.2m}{0.8m} = \frac{60}{40}[/tex]

b) The mixing amount is 5 lb peanut and 5 lb mixture.

Step-by-step explanation:

Given that p pounds of peanuts and m pounds of the 80% almond and 20% peanut mixture are used to make 10 pounds of 60% peanuts and 40% of almonds mixture.

Now, we can write that p + m = 10 ........ (1)  

Now, m pounds of 80% almond and 20% peanut mixture contain 0.2m pounds of peanuts and 0.8m pounds of almonds.

Now, from the condition given it can be written that  

[tex]\frac{p + 0.2m}{0.8m} = \frac{60}{40}[/tex] .......... (2)

⇒ [tex]\frac{p + 0.2m}{0.8m} = \frac{3}{2}[/tex]

⇒ 2p + 0.4m = 2.4m

⇒ 2p = 2m

⇒ p = m  

Now from equation (1) we get p = m = 5 pounds.

a) Therefore, equations (1) and (2) are the system of equations that models the situation.

b) The mixing amount is 5 lb peanut and 5 lb mixture. (Answer)

Answer:

x = [tex]\frac{14}{45}[/tex]

Step-by-step explanation:

10 - 2 + 6 = 3x (7 + 8)​

3x (7 + 8) = 10 - 2 + 6

21x + 24x = 8 + 6

45x = 14

x = 14 ÷ 45

x = [tex]\frac{14}{45}[/tex]

Answer:

n=smallest integer; n+1=second integer; n+2=third integer; n+3=fourth integer

n+(n+1)+(n+2)+(n+3)=34

4n+6=34

4n=28

n=7 ANSWER: The smallest integer is 7

CHECK:

7+8+9+10=34

34=34

Step-by-step explanation:

See explanations

Step-by-step explanation:

1. DF≅EF ⇒ Reflexive property

2. ∠1≅∠2 ⇒Given

3.FG bisects ∠DFE ⇒Definition of a bisector

4. FG ≅ FG ⇒Given

5.ΔDFG ≅ΔEFG-SAS Congruence

The reflexive property of congruence simple means that any geometric figure is equal to itself. Line DF equals line FE because triangle ΔDFG≅EFG

A line segment that divides a angle into two equal parts in called an angle bisector. Line segment FG is bisects angle  ∠DFE

The Side Angle Side Postulate requires that two sides and included angle of one triangle are congruent to two sides and included angle of another triangle. In this case, angle ∠1 , ∠D and side DF equals ∠2, ∠E and side FE

Learn More

Properties of a triangle : https://brainly.com/question/13361468

Keyword : proof, congruence,reflexive

#LearnwithBrainly