The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle​

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

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Answer:

3x-24

Step-by-step explanation:

because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8

Answer:

A

Step-by-step explanation:

Answer:

A should be the correct answer.

Step-by-step explanation:

Hope this helps

Answer:

33 students.

Step-by-step explanation:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7.

4×3:7×3

12:21

12+21=33

33 students in the class, which is between 24 and 40 students in a class.

4×2:7×2

8:14

8+14=22

22 is wrong because it has to be between 24 and 40 students in a class.

4×4:7×4

16:28

16+28=44

44 is wrong because it has to be between 24 and 40 students in a class.

4×1:7×1

4:7

4+7=11

11 is wrong because it has to be between 24 and 40 students in a class.

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer:

4^8

Step-by-step explanation:

4^5 * 4^3

We know that a^b* a^c = a^(b+c)

4^(5+3)

4^8

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Answer:

413.03

Step-by-step explanation:

405 increased by 8.3 is 405+8.3.

[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]

Answer:

413.3 if ADD, 437.5215 if add by percent

Step-by-step explanation:

If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215

If it's add 8.3, then it's 413.3.

Answer: $80

Step-by-step explanation:

Let the original price of the refrigerator be represented by y.

We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:

= y - (20% of y)

= y - (20/100 × y)

= y - (0.2 × y)

= y - 0.2y

= 0.8y

We are then told that the store then raised the prices by 10% from the lower price. This will be:

= 0.8y + (10% of 0.8y)

= 0.8y + (0.1 × 0.8y)

= 0.8y + 0.08y

= 0.88y

Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:

0.88y = $70.49

y = $70.49/0.88

y = $80.10

y = $80 approximately

The original price of the refrigerator is $80.

Answer:

m < 1 = 80

m < 2 = 70

Step-by-step explanation:

As we can see in the figure that

[tex]a || b[/tex]

Plus line s and t are considered to be transversals

That results into

m < 1 and 80

i.e alternate angles

And as we know that alternative angles are equal to each other

So,

m < 1 = 80

Moreover,

m < 2 = 70

As corresponding angles are equal to each other

Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

Answer:

20 red sweets

Step-by-step explanation:

do two thirds of 30 and the part that cane out is the red sweets

Answer:

12

Step-by-step explanation:

Sum the parts of the ratio, 2 + 3 = 5 parts

Divide the number of sweets by 5 to find the value of one part of the ratio

30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus

2 × 6 = 12 ← number of red sweets

Answer:

Percentage: 55%

Decimal: 0.55

Step-by-step explanation:

11÷20=

0.55

[tex]\frac{11}{20}=\frac{55}{100}[/tex]

or 55%

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.

Answer:

[tex]perimeter= 14\,x\,+ \,4[/tex]

Step-by-step explanation:

Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x)  plus twice the length (3x+2);

[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]

Answer:

D)  [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Step-by-step explanation:

Step(i):-

Given equation

                x² + 5 x + 8 = 4

    ⇒        [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

Step(ii):-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

  ⇒        [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Final answer:-

[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Answer:

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30

Answer:

93%

Step-by-step explanation:

caculator

Answer:

The answer is 83/4

Step-by-step explanation:

5 1/4+15.5

21/4+15.5

Taking LCM

21/4+15.5*4/1*4

21/4+62/4

83/4

Answer:

[tex]20\frac{3}{4}[/tex]

Step-by-step explanation:

=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]

=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]

=> [tex]\frac{21+62}{4}[/tex]

=> [tex]\frac{83}{4}[/tex]

=> [tex]20\frac{3}{4}[/tex]

Answer:

9.31?

Step-by-step explanation:

Answer:

a. p= 36/(m + 1)

b. p = 3

Step-by-step explanation:

If p varies inversely as (m + 1)

then p = k × 1/(m + 1). {Where k is the constant}

when p = 4, m = 8, that means 4 = k/(8 + 1)

4 × 9 = k and k = 36

a. Therefore the equation is p= 36/(m + 1)

b. When m = 11,

p = 36/(11 + 1)

p = 36/12

p = 3

Answer:

4

Step-by-step explanation:

2^2

Answer:

4

Step-by-step explanation:

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.

Answer:

Step-by-step explanation:

Given the expression   [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)

Answer:

4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 11 +(n - 1)4 , then

d = 4

The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4

Answer:

The answer is 4

Step-by-step explanation:

Answer:

Integers are 48, 49, 50

Step-by-step explanation:

x+(x+1)+(x+2) = 147

3x + 3 = 147

3x = 147-3

x = 144 / 3 = 48

Answer:

Slope = m = 4

Step-by-step explanation:

y = 4x-6

Comparing this with the standard slope-intercept equation:

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

Where m is the slope and b is the y-intercept.

So, we get:

Slope = m = 4

Answer:

4

Step-by-step explanation:

The equation of a line has a formula.

y = mx + b

Where m is the slope, and b is the y-intercept.

The equation for this line is given:

y = 4x + - 6

m = 4

b = -6

4 is the slope, and -6 is the y-intercept.