if 8 and 15 are sides to a right triangle, whats the missing side?

Good morning,

Answer:

[tex]\frac{\sqrt{3} }{2} a[/tex]

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

    = a² - a²/4

    = 3/4a²

    = [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)

Answer:

45 m - 30   ≥  275 x (4)  is the required inequality.

Step-by-step explanation:

m: The number of lawns they need  to mow next week

The charge per mowing of lawn = $45

The total earnings spent on gasoline each week  = $30

The earning per person is AT LEAST $275.

Now,if 1 person earns at least $275

So, the total minimum earnings of 4 people  = 4 x ($275)  = $ 1100

Also, of per mow charge  = $45

So, the charge of mowing m lawns  = m x ( Per mow charge )  

= m x ( $45) = 45 m

Now, according to question:

Total Earning - Money spent on gasoline  ≥  Total Earning $1100  

or, 45 m - 30   ≥   1100

Hence, the needed inequality is  45 m - 30   ≥   1100

or, 45 m - 30   ≥  275 x (4)

Answer:

a

Step-by-step explanation:

for people who don't like reading, i gotchu <3

Answer:

whats the answer lol

Step-by-step explanation:

Option B

The second term of sequence is -9

Solution:

Given that,

[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]

Substitute a(1) = -13

[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]

Thus the second term of sequence is -9

Answer:

X=89.4

Step-by-step explanation:

Answer:

487887

Step-by-step explanation:

Answer:

all work is shown and pictured

Answer:

[tex]2\frac{1}{6}\ frames[/tex]

Step-by-step explanation:

we know that

To find out how many frames she can  make with the exiting material, divide 1 5/8 by 3/4

so

[tex]1\frac{5}{8}:\frac{3}{4}[/tex]

Convert mixed number to an improper fraction

[tex]1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}[/tex]

substitute

[tex]\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames[/tex]

Simplify

[tex]\frac{13}{6}\ frames[/tex]

Convert to mixed number

[tex]\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames[/tex]

Answer:

x = 7/4 = 1.75

Step-by-step explanation:

Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.

As I can't see the calculator, I will also show you how to work out the solution for x:

3x - 1 = 6 -x

4x -1 = 6

4x = 7

x   = 7/4  = 1.75

The correct answer is The graph stretches because 7 is bigger than 1.

The graph of [tex]\( f(x) = 7|x-5|+9 \)[/tex] experiences a vertical stretch, not a shrink, despite the coefficient ( 7 ) being greater than 1.

The absolute value function ( |x| ) reflects any negative values of ( x ) to their positive counterparts, essentially mirroring the negative portion of the graph onto the positive side.

When you apply a coefficient greater than 1 to [tex]\( |x| \), as in \( 7|x| \),[/tex] it vertically stretches the graph.

This means that the graph of ( f(x) ) will be vertically stretched by a factor of 7 compared to the graph of ( |x| ).

In this case, since [tex]\( |x-5| \)[/tex] is the argument of the absolute value, it implies a horizontal shift of the graph of [tex]\( |x| \)[/tex] by 5 units to the right.

So, the absolute value graph [tex]\( |x| \)[/tex] gets shifted 5 units to the right before it is stretched vertically by a factor of 7.

The ( +9 ) at the end of the function only moves the entire graph up by 9 units.

Thus, the graph of [tex]\( f(x) = 7|x-5|+9 \)[/tex] experiences a vertical stretch by a factor of 7.

Therefore, the correct statement is: "The graph stretches because 7 is bigger than 1."

Question

Does the absolute value graph below stretch or shrink? Support your answer. F(x) = 7|x-5|+9

The graph shrinks because 7 is between 0 and 1.

The graph stretches because 7 is bigger than 1.

The graph shrinks because 7 is bigger than 1.

The graph stretches because 7 is between 0 and 1.

Answer:

Any U

Step-by-step explanation:

Hey there. Here isbyour solution:

2.7-2.8=0

0/u=0

Statement is always true. So u[tex]\in[/tex]R

After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.

Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.

First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.

Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.

To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.

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Answer:

Step-by-step explanation:

a hole 8 ft deep.....would be -8 because it is -8 below ground level

u earn $ 8....thats +8

a temp of 8 F....thats a +8

an 8 yd pass....thats a + 8

Answer:

a hole 8 ft deep.....would be -8 because it is -8 below ground level

Answer:

-22

Step-by-step explanation:

2x + 36 = 4/11 x

2x - 4/11 x = - 36

18/11 x = - 36

x = ((-36) x 11) / 18 = - 22

Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on two burrito platters and one taco platter. How much does each type of platter cost?

The cost of each buritto platters is $ 32 and cost of each taco platter is $ 26

Let "a" be the cost of each burrito platters

Let "b" be the cost of each taco platters

Carmen spent $58 on one burrito bladder and one taco platter

Therefore we frame a equation as:

one burrito bladder x cost of each burrito platters + one taco platter x cost of each taco platters = 58

[tex]1 \times a + 1 \times b = 58[/tex]

a + b = 58 ---------- eqn 1

For a company meeting, she spent $90 on two burrito platters and one taco platter

two burrito platters x cost of 1 burrito platter + one taco platter x cost of 1 taco platter = 90

[tex]2 \times a + 1 \times b = 90[/tex]

2a + b = 90 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Subtract eqn 1 from eqn 2

2a + b -a - b = 90 - 58

a = 32

Substitute a = 32 in eqn 1

32 + b = 58

b = 26

Hence, cost of 1 burrito = $32  and the cost of 1 taco platter = $26

Answer:

15.68

Step-by-step explanation:

22/15=23/x

cross product

15*23=22*x

345=22x

x=345/22

x=15.68

Answer:

The total cost for 8 skiers=316 dollars

Step-by-step explanation:

Given that the expression 15n+12n+100 represents the total cost in dollars for skis,boots and a lesson for n skiers.

To simplify the given expression :

15n+12n+100=27n+100

27n=-100

Therefore [tex]n=\frac{-100}{27}[/tex]

Now to find the total cost for 8 skiers.

The total cost for 8 skiers can be written as below

Put n=8 in the given expression 15n+12n+100

15(8)+12(8)+100

=120+96+100

=316

Therefore the total cost for 8 skiers is 316 dollars

The total cost for 8 skiers=316 dollars

Answer:

Step-by-step explanation:

For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.

Answer:

Step-by-step explanation:

breadth = x

length = 2x

Perimeter = 540m

2*( length + breadth ) = 540

2 *(2x + x) = 540

3x = 540/2

3x = 270

x = 270/3

x = 90 m

Breadth = 90m = 90 *100 = 9000 cm

Length = 2*90 = 180 m = 180 * 100 = 18000 cm

No.of bricks = Area of room/ area of one brick

= 9000 * 18000 / 20 * 12

= 675000 bricks

Answer:

The slope to the given points A at (2,6) and B at (4,10) is 2

Therefore slope m=2

Step-by-step explanation:

Given points are A at (2,6) and B at (4,10)

To find the slope of the given two points :

Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the given points A at (2,6) and B at (4,10) respectively

Slope m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

Now substitute the points in the above equation we get

m[tex]=\frac{10-6}{4-2}[/tex]

[tex]=\frac{4}{2}[/tex]

[tex]=2[/tex]

Therefore m=2

The slope to the given points A at (2,6) and B at (4,10) is 2

Therefore slope m=2

Answer:

1/8

Step-by-step explanation:

If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.

Answer:

If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.

Step-by-step explanation:

If the given function is h(x)=5x-1 then  h(1)h(1) would be equal to 16.

Function is a type of relation, or rule, that maps one input to specific single output.

Given;

h(x)=5x-1

In order to find the  h(1)h(1)

substitute x = 1 in the function h(x)

h(x)=5x-1

h(1) = 5(1) - 1

h(1) = 5 -1 = 4

So, h(1)h(1) = 4 x 4 = 16

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Answer:80

Step-by-step explanation:

Answer:

Number of cars=3

Number of buses=4

Step-by-step explanation:

Let the number of cars be x, and the number of buses be y.

x+y=7 (total number of vehicles) ---①

5x+45y=195 (total number of students) ---②

*each car holds 5 students, whereas each bus holds 45, which equals to 5x and 45y

From equation ①,

x=7-y ---③

Substitute ③ into ②

5(7-y)+45y=195

35-5y+45y=195

40y=195-35

40y=160

y=4

Therefore,

x+y=7

x=7-y

x=7-4

x=3

Answer:

The answer is C.) -113.75

Step-by-step explanation: I just did the assignment and used a calculator to find the answer.

The graph that represents the solution to this inequality is x > -1.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The given inequality is 16x - 80x < 37 + 27.

Simplifying the left-hand side of the inequality.

-64x < 64

Dividing both sides by -64

(remember to reverse the inequality because we're dividing by a negative number).

x > -1

Now,

This inequality represents all values of x that are greater than -1.

To represent this solution graphically, we would shade the region to the right of the vertical line x = -1, as all x values to the right of -1 satisfy the inequality.

Thus,

The graph that represents the solution to this inequality is x > -1.

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Answer:

f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))

Sorry if its wrong!

The required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The function is given in the question following as:

f(x) = x³ + 4x² + 7x + 6

We have to determine the completely factored form of the given function

As per the given question, we have

⇒ f(x) = x³ + 4x² + 7x + 6

Common factor as (x + 2) out in the above expression,

⇒ f(x) = (x + 2)(x² + 2x + 3)

⇒ f(x) = (x + 2)(x−(−1+i√2))(x−(−1−i√2))

Therefore, the required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).

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Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]

The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]

=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]

=[tex]|-54|[/tex] = 54 square units

The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]

                          = [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]

                         =[tex]\sqrt{149}[/tex] units

Let the perpendicular distance from B to AC be = x

According To Problem

[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]

⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units

Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]

Answer:2.5 or 2 with the remainder of 20

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)

Hope this helps!

-Coconut;)

Answer:

10 liters of solution should be drained off  and replaced with water.

Step-by-step explanation:

As forty liters of a 60% salt solution are being reduced to a 45% solution, and we have to determine the amount in liters that must be drained and replaced with distilled water so that the resulting solution will  contain only 45% salt solution.

So, the equation becomes

[tex]0.60(40-x) = 0.45(40)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]0.6\left(40-x\right)=0.45\cdot \:40[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:0.45\cdot \:40=18[/tex]

[tex]0.6\left(40-x\right)=18[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]0.6\left(40-x\right)\cdot \:10=18\cdot \:10[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]6\left(40-x\right)=180[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]

[tex]\frac{6\left(40-x\right)}{6}=\frac{180}{6}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]40-x=30[/tex]

[tex]\mathrm{Subtract\:}40\mathrm{\:from\:both\:sides}[/tex]

[tex]40-x-40=30-40[/tex]

[tex]-x=-10[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]

[tex]x=10[/tex]

Therefore, 10 liters of solution should be drained off  and replaced with water.

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Answer:

10 liters of solution should be drained off  and replaced with water.

Step-by-step explanation:

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