The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.

Answer:

1/1001 < 4/10 < 49/100 < 357/10

Step-by-step explanation:

4/10 => 0.4

49/100 => 0.49

357/10 => 35.7

1/1001 => 0.0009

Ascending order is from smallest to the greatest.

Answer:

1/1001, 4/10, 49/100, 357/10

Step-by-step explanation:

Convert the fractions to decimals.

4/10 = 0.4

49/100 = 0.49

357/10 = 35.7

1/1001 = 0.0009

Arrange in ascending order.

0.0009, 0.4, 0.49, 35.7

Change back to fractions.

Answer:

c= 7/3

Step-by-step explanation:

To solve for c:

Simplify the equation by moving all numbers to one side and variables to the other

    -9c-4=-25

    -9c= -25+4

    -9c=-21

Now isolate c by dividing both sides by its coefficient (-9)

      c= -21/-9

Since the (-) cancel out, this simplifies to:

      c= 21/9

Now reduce the fraction by dividing the right hand side by a common value of 3:

      c= 7/3

Answer:

Step-by-step explanation:

If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.

If we introduce a constant of proportionality, k , the relationship would be

t = kg

Given that

When t = 18, g = 10, then

18 = k × 10

k = 18/10 = 1.8

Therefore, the equation representing the relationship is

t = 1.8g

Answer:

answer is a

Step-by-step explanation:

Answer:

[tex]z=-0.842<\frac{a-30}{7.8}[/tex]

And if we solve for a we got

[tex]a=30 -0.842*7.8=23.432[/tex]

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(30,7.8)[/tex]  

Where [tex]\mu=30[/tex] and [tex]\sigma=7.8[/tex]

For this part we want to find a value a, such that we satisfy this condition:

[tex]P(X>a)=0.80[/tex]   (a)

[tex]P(X<a)=0.20[/tex]   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.20[/tex]  

[tex]P(z<\frac{a-\mu}{\sigma})=0.20[/tex]

But we know which value of z satisfy the previous equation so then we can do this:

[tex]z=-0.842<\frac{a-30}{7.8}[/tex]

And if we solve for a we got

[tex]a=30 -0.842*7.8=23.432[/tex]

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Answer:

The correct option is;

Exponential function 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

Step-by-step explanation:

The given functions are;

f(x) = 2x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 6, 10, 14, 18

f(x) = 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

f(x) = 2·x² + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 10, 34, 74, 130

f(x) = 3·x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 8, 14, 20, 26

By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2

Answer: The answer is B on edg

Step-by-step explanation:

Answer:b=-43.38

Step-by-step explanation:

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y  

1/5x - 2/3(15) = 30

multiply  

1/5x - 10 = 30

isolate the variable  

1/5x = 40

multiply each side by 5  

x = 200

Answer:

x = 200

Step-by-step explanation:

1/5x - 2/3y = 30

Put y as 15 and evaluate.

1/5x - 2/3(15) = 30

1/5x - 30/3 = 30

1/5x - 10 = 30

Add 10 on both sides.

1/5x = 40

Multiply both sides by 5.

x = 200

Answer:

≈ 18.87 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the trapezium and the semicircle.

The area (A) of the trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h( a + b)

where h is the height and a, b the parallel bases

Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus

A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²

area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²

Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )

Answer:≈ 18.87 cm²

Step-by-step explanation:

Answer:

≈ 18.87 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the trapezium and the semicircle.

The area (A) of the trapezium is calculated as

A = h( a + b)

where h is the height and a, b the parallel bases

Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus

A = × 4 × (14 + 8) = 2 × 22 = 44 cm²

area of semicircle = πr² = π × 4² = 8π cm²

Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places

Step-by-step explanation:

1/3 and 5/2 can be shown as:

points with 1/6 interval on the number line:

0, 1/6, 2/6, 3/6, 4/6, ..., 15/6

Answer:

1/7

Step-by-step explanation:

There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7

Answer:

? = 44 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan ? = 46/48

Take the inverse tan of each side

tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)

   ? = 43.78112476

To the nearest degree

? = 44 degrees

Answer:

The first option (5^2 + 8^2 = c^2).

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2.

If a is 5 cm, and b is 8 cm, you would have the following equation...

5^2 + 8^2 = c^2.

That matches with the first option.

Hope this helps!

Answer:

Option A

Step-by-step explanation:

The median is the value that lies in the middle of the data when the data set is ordered.

It is also the value that separates the higher half of the dataset from the lower half of the dataset.

Answer:

B

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

=> [tex]x^2-4x+2 = 10[/tex]

Adding 2 to both sides to complete the square

=> [tex]x^2-4x+4 = 12[/tex]

Completing the square

=> [tex](x-2)^2= 12[/tex]

Answer:

Step-by-step explanation:

exact form:

x=+2\sqrt(3+2)

decimal form:

x=5.46410161

Answer:

[tex] \dfrac{1}{a^6} [/tex]

Step-by-step explanation:

[tex] a^{-6}x^0 = [/tex]

[tex] = \dfrac{1}{a^6} \times 1 [/tex]

[tex] = \dfrac{1}{a^6} [/tex]

Answer:

Step-by-step explanation:

In a quadrilateral all the angles equal to 360 degrees

ADC= 136+90+62=288.

360-288=72

A straight line is equal to 180 degrees

CDE= 180-72=108

x=108

Answer:

the value of x is 62 degrees.

Step-by-step explanation:

we know that corresponding angles are equal, so the value of x is 62 degrees as x is an corresponding angle of 62°

Answer:

40.39

Step-by-step explanation:

35% discount off 55 is 19.25

$35.75 is the answer

to calculate the tax its 13% rate in your area or what ever

1.13 x 35.75 = 40.39

Answer:

17

Step-by-step explanation:

This is a very neat problem -- for teachers.

Let the number of sides = y

The sum of the interior angles is 180*(y - 2)

We are told that this sum equals 9x^2

So far the equation is

(y - 2)*180 = 9x^2                   Divide both sides by 9

(y - 2)*20 = x^2                       Remove the brackets on the left.

20*y - 40 = x^2

We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3

20*(x - 3) - 40 = x^2

20x - 60 - 40 = x^2       Combine like terms on the left

20x - 100 = x^2             Bring the left side to the right side.

0 = x^2 - 20x + 100      You have a quadratic.

a = 1

b = - 20

c = 100

When you solve the quadratic equation, you get

x = 20

Therefore the number of sides is 17.

Answer:

The center is (-7,-8) and the radius is sqrt (2/3)

Step-by-step explanation:

( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2

The center is (-7,-8) and the radius is sqrt (2/3)

Answer:

center:    (-7,-8)         radius: 2/3

Step-by-step explanation:

i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!

also got this correct on khan academy

Answer:

x ≈ - 5.32 , x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4, that is

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

Answer:

x=-5.32 or x=1.32

Answer:

z = 110°

Step-by-step explanation:

Since the figures are similar then corresponding angles are congruent, thus

∠ H = ∠ D = 110°, that is

z = 110°

Answer:

36

Step-by-step explanation:

quick maths

Answer:

36 rectangles

Step-by-step explanation:

Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.

We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.

However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.

Answer:

x > 3

Step-by-step explanation:

Given 2 sides of a triangle then the third side x will be

difference of sides < x < sum of sides , that is

15 - 12 < x < 15 + 12, so

3 < x < 27

Thus x > 3

Answer:

C. 3

Step-by-step explanation:

x > 3

Ed 2020

Answer:

4a+5b

Step-by-step explanation:

Given:

Apple=£a

Banana=£b

Quantity of Apple=4

Quantity of banana=5

Find the cost of 4 apples and 5 bananas

Total cost=PaQa+PbQb

Where,

Pa=price of Apple

Qa=quantity of Apple

Pb=price of banana

Qb=quantity of banana

Total cost=PaQa+PbQb

=4*a+5*b

=4a+5b

In the sequence 5,10,20,40,80.. I can see that it is doubled each time.

Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.

Good luck! Stay safe!

- Eli <3

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Step-by-step explanation:

530pm = 17:50 in 24hr/military time

915pm = 21:15 in 24hr/military time

therefore..

24hr/military time. 21:15 - 17:50 = 3.65hr

our time. 3hr 45min

It took Sarah 3 hours and 45 minutes to finish her homework

The answer in 24 hour clock system is 3:45

The calculation can be done as follows

Sarah started her home work at 5:30 pm

She finished at 9:15pm

The time range here is 3 hours, 45 minutes

Please see the link below for more information

https://brainly.com/question/24991186?referrer=searchResults

Answer:

The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.

Step-by-step explanation:

The histogram in question is missing from the question. It was obtained online and is attached to this solution.

A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.

If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).

For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.

It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.

So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.

Hope this Helps!!!

Answer:

The sum of all the sweets is 54 sweets

Step-by-step explanation:

Here, we want to calculate the number of sweets the three have altogether.

Let the number of sweet Faith has be x

Mathematically;

Faith has 4 sweets fewer than the average number of sweets

The average is the sum of all the sweets divided by 3

The average will be (10 + 30 + x)/3

Thus;

(10 + 30 + x)/3 - 4 = x

(40 + x)/3 = x + 4

40 + x = 3(x + 4)

40 + x = 3x + 12

40-12 = 3x -x

28 = 2x

x = 28/2

x = 14 sweets

So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets

Answer:

[tex]a_{10}=124[/tex]

Step-by-step explanation:

In an arithmetic sequence, we are given that:

[tex]a_{17}=82\\d=-6[/tex]

The nth term of an arithmetic sequence, [tex]a_n=a+(n-1)d[/tex]

When n=17, [tex]a_{17}=82,d=-6[/tex], we have:

[tex]a_{17}=a+(17-1)(-6)[/tex]

82=a+(16)(-6)

82=a-96

a=82+96

a=178

Therefore, the 10th term of the sequence

[tex]a_{10}=178+(10-1)(-6)\\=178+9(-6)\\=178-54\\a_{10}=124[/tex]