3(x - 2) = 18
what is the solution?

Answer:

ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )

ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180

ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)

HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )

Answer: Answer is in steps

Step-by-step explanation:

A)  To find p(46) input the 46 into the equation and solve

   p(46) = 61.41 + 2.32(46)  

   p(46) = 168.13

B) This means that if the female's femur is 46 in length then that female will be 168.13 centimeters tall.

Answer:

Adult ticket= 7£

Child ticket= 2£

Step-by-step explanation:

Let the cost of an adult ticket be £A and the cost of a child ticket be £C.

2A +3C= 20 -----(1)

A +4C= 15 -----(2)

From (2):

A= 15 -4C -----(3)

Susbt. (3) into (1):

2(15 -4C) +3C= 20

30 -8C +3C= 20 (expand)

30 -5C= 20 (simplify)

5C= 30 -20

5C= 10

C= 10 ÷5

C= 2

Subst. C=2 into (3):

A= 15 -4(2)

A= 15 -8

A= 7

Thus, the cost of an adult ticket and a child ticket is 7£ and 2£ respectively.

Answer:

5 - 16i

Step-by-step explanation:

combine like terms:

3 - (-2) = 5

(-5i) - 11i = -16i

5 - 16i

Answer:

p = -7/3

Step-by-step explanation:

-2 = 6/7p

multiply each side by (7/6)

-2(7/6) = 6/7p(7/6)

-7/3 = p

Answer:

[tex]-\frac{7}{3}[/tex]

Step-by-step explanation:

Answer:

orange graph

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation: Total outcomes=5

favourable outcomes=2

Therefore ,P(E)=2/5

Answer:

the outlier is 4

Look at all the numbers in the set:

24,18,26,20,18,24,4,24

the numbers 24,18,26,20,18,24,24 are all close in range to each other but the number 4 is not.

so therefore, the outlier is 4.

Answer:

4

Step-by-step explanation:

All the other numbers are close lying numbers. But, 4 sets off the set of data.

Brainliest please...................

Answer:

Step-by-step explanation:

To find the length of the hypotenuse of QPO we must first find the value of x

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

QO² = QP² + OP²

That's

( x + 6)² = 5² + ( x + 5)²

x² + 12x + 36 = 25 + x² + 10x + 25

Group like terms

x² - x² + 12x - 10x = 50 - 36

2x = 14

Divide both sides by 2

x = 7

The hypotenuse of QPO is (x + 6)

Substitute the value of x into the expression

That's

Hope this helps you

Answer:

[tex]\Huge \boxed{\mathrm{D.} \ 13}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use Pythagorean theorem to solve for the value of x.

[tex]OP^2 +PQ^2 =OQ^2[/tex]

[tex](x+5)^2 +5^2 =(x+6)^2[/tex]

Simplifying both sides.

[tex]x^2 +10x+50=x^2 +12x+36[/tex]

Subtracting x², 10x and 36 from both sides.

[tex]14=2x[/tex]

Dividing both sides by 2.

[tex]7=x[/tex]

Letting x = 7 for the length of the hypotenuse.

[tex]\Longrightarrow \ 7+6 \\\\\\ \Longrightarrow \ 13[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

D

Step-by-step explanation:

The sum to infinity of a geometric sequence is calculated as

[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] | r | < 1

where a is the first term and r the common ratio

Here a = 1 and r = [tex]\frac{1}{5}[/tex] , thus

[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-\frac{1}{5} }[/tex] = [tex]\frac{1}{\frac{4}{5} }[/tex] = [tex]\frac{5}{4}[/tex] → D

Answer:

you do subtraction than the plus and you got your answer!

Hope this helps :)

Answer:

7h - 15h + 40 = -72

-8h + 40 = -72

take +40 on the other side of equation

-8h = -72-40

-8h = -112

h = -112/-8

h = 14

Step-by-step explanation:

Answer:

[tex]Slope\ of\ A'B'= 3[/tex]

Step-by-step explanation:

Given

[tex]Slope\ of\ AB= 3[/tex]

Required

Determine the slope of A'B'

Represent the coordinates of AB with (x,y), such that

[tex]AB = (x,y)[/tex]

Since A'B' is 3 * AB, we have

[tex]A'B' = 3 * AB[/tex]

Substitute (x,y) for AB

[tex]A'B' = 3 * (x,y)[/tex]

[tex]A'B' = (3x,3y)[/tex]

Since the slope of AB = 3, then the slope of A'B' is also equal to 3 because dilation through (0,0) does not have effect on the slope

Answer:

3, Does not Pass

Step-by-step explanation:

Good luck with edmentum everyone :D

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

    30+∠B+30=180

           ∠B+60=180

                  ∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

                  4x+2x+120=180

                        6x+120=180

                                6x=60

                                  x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

Answer:

a: [tex]40h+75f=800,h+f=13[/tex]

b: 5

c: 8

Step-by-step explanation:

Explanation for a: Making the equations

Assuming h is the amount of half-page ads and f is the amount of full page ads, we can create the equations [tex]40h+75f=800,h+f=13[/tex] since the total cost will be 800$, and we have a total of 13 ads.

Explanation for b: Solving for h

We can now solve for one of the variables using elimination. Let’s multiply the expression [tex]h+f=13[/tex] by -75.

[tex]-75h - 75f = -975[/tex]

Great! Now let’s add the equations.

[tex]40h + 75f = 800\\\\-75h - 75f = -975[/tex]

Adding these equations, we get

[tex]-35h = -175[/tex]

Divide both sides by -35, and we get [tex]h = 5[/tex].

Explanation for c: Solving for f

We can now substitute h inside the equation [tex]h + f = 13[/tex].

[tex]5 + f = 13\\\\f = 13-5\\\\f = 8[/tex]

Hope this helped!

(a) Let's say that h = half-page advertisement, and f = full-page advertisement.

Now It is given that there is a total of 13 advertisements present, and hence we have the first equation h + f = 13. Respectively we have the equation 40h + 75f = 800. This is represented by the following system of equations,

[tex]\begin{bmatrix}h+f=13\\ 40h+75f=800\end{bmatrix}[/tex]

(c) From here on let's solve this system for h and f. Isolating h in the first equation would give us h = 13 - f, which then can be substituted into the second equation to receive 40(13 - f) + 75f = 800. Let's solve for f --- (1)

40(13 - f) + 75f = 800,

520 - 40f + 75f = 800,

520 + 35f = 800,

35f = 280,

f = 280 / 35 = 8 full advertisements

(b) Now let's substitute this value of f back into the first equation to solve for the value of h --- (2)

h + 8 = 13,

h = 13 - 8 = 5 half advertisements

Answer:

(2 (4 x + 5), -(3 x + 25))

Step-by-step explanation:

Simplify the following:

(12 x - 4 x + 3 + 7, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Grouping like terms, 12 x - 4 x + 3 + 7 = (12 x - 4 x) + (3 + 7):

((12 x - 4 x) + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

12 x - 4 x = 8 x:

(8 x + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

3 + 7 = 10:

(8 x + 10, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Factor 2 out of 8 x + 10:

(2 (4 x + 5), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Grouping like terms, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8 = (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2):

(2 (4 x + 5), (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2))

-7 x + 2 x - 3 x + 5 x = -3 x:

(2 (4 x + 5), -3 x + (8 - 13 - 18 - 2))

8 - 13 - 18 - 2 = -25:

(2 (4 x + 5), -25 - 3 x)

Factor -1 out of -3 x - 25:

Answer: (2 (4 x + 5), -(3 x + 25))

Answer:

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.  

then

tan 52 = A/x

tan 21 = B/x  

A/B = tan 52 / tan 21

      =  1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.

The height of the taller building can be given in relation to the height of

the other building using trigonometric ratios.

Correct response:

The given parameters are;

Angle of elevation to the top of the other building = 21°

Angle of depression to the base of the other building = 52°

The claim of the friend = The height of his building > 1.5 × The height of the other building

Required:

To state whether the claim is right or wrong.

Solution:

Let h represent the height of the smaller building, let l represent the

distance between the two buildings, and let d represent the height by

which one building is taller than the other, we have;

l·tan(21°) = d

l·tan(52°) = h

Height of the taller building, H = h + d = l·tan(52°) + l·tan(21°)

Height of the other building = h = l·tan(52°)

Therefore;

H ≈ 1.3·h

Which gives that the taller building, H, is approximately 1.3 times the other building.

Therefore;

Learn more about trigonometric ratios here:

https://brainly.com/question/14692278

Answer:

p = [tex]\frac{q-5r}{2}[/tex]

Step-by-step explanation:

Given

2p + 5r = q ( subtract 5r from both sides )

2p = q - 5r ( divide both sides by 2 )

p = [tex]\frac{q-5r}{2}[/tex]

Answer:

$100

Step-by-step explanation:

Half - a - hour = (24*15) =360 m

one hour payment $25

hour(?) =(48*30) = 1440 m

  1440/ 360 =  4 hours

So, 25*4 =$100

Answer:

The answer to number 1 is b and number 2 is also b

Answer:

A.

Step-by-step explanation:

Every integer is a rational number but a rational number does NOT need to be a integer, therefore meaning that integers are a subset of rational numbers. Not the other way around.

Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$[tex]4\frac{10101}{62500}[/tex]

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = [tex]$4\frac{10101}{62500}[/tex]

========================================================

Method 1

Use your calculator to find the decimal version of each fraction

We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.

----------------------------

Method 2

To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)

In this case, the LCD is 100

The last fraction has the smallest denominator, so 1/5 is the smallest.

Answer:

Left 10 and down 3

Step-by-step explanation:

When adding to the x inside the parenthesis, the graph is moving left.

When subtracting from outside the parenthesis, the graph moves down.

Answer:

10 to the left

Step-by-step explanation:

Step-by-step explanation:

Volume= L×W×H

=6ft×4ft×3ft

=72 cubic feet

Hope it helps you!!

Answer:

72 cubic ft

Step-by-step explanation:

volume = length x width x height

That is - 3x4x6 cubic ft

           =  12x6 cubic ft

            = 72 cubic ft

Hope you find it helpful.. Mark me brainliest if u did

Answer:

49

Step-by-step explanation:

hello,

[tex]p(4)=4^2=16\\\\g(p(4))=g(16)=3*16+1=48+1=49[/tex]

Thanks

Answer: 4

Step-by-step explanation:

Factor of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factor of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

4 appears in both factors, so the GCF (Greatest Common Factor) will be 4

Hope this helps!! :)

Please let me know if you have any question

-2.5 hope this helps you

Answer:

5x³ - 2x²

Step-by-step explanation:

Step 1: Write out expression

4x³ - x² + 4x + x³ - x² - 4x

Step 2: Combine like terms (x³)

5x³ - x² + 4x - x² - 4x

Step 3: Combine like terms (x²)

5x³ - 2x² + 4x - 4x

Step 4: Combine like terms (x)

5x³ - 2x²

Answer: Prime factorization: 10 = 2 x 5.

Step-by-step explanation:10 is a composite number. 10 = 1 x 10 or 2 x 5. Factors of 10: 1, 2, 5, 10.

The prime factorization of 10 is 2 and 5