What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
3
4
16
21
23

#1

Paved area:-

#b

Let's see

Answer:

(a)  121 miles

(b)  7 days

Step-by-step explanation:

Given function:

[tex]\sf L(d)=205-7d[/tex]

Question (a)

When d = 12:

[tex]\sf \implies L(12)=205-7(12)[/tex]

                [tex]\sf =205-84[/tex]

                [tex]\sf =121 \ miles[/tex]

Therefore, the crew has 121 miles left to pave after 12 days.

Question (b)

When L(d) = 156

[tex]\sf \implies 156=205-7d[/tex]

[tex]\sf \implies 7d=205-156[/tex]

[tex]\sf \implies 7d=49[/tex]

[tex]\sf \implies d=\pm\sqrt{49}[/tex]

[tex]\sf \implies d=\pm7[/tex]

As distance is positive, [tex]\sf d=7[/tex] only

Therefore, the crew has been paving the the road for 7 days.

The value of  a and b in the product of 4+3i  and its conjugate in the format a + bi are 25 and 0.

The conjugate is where we change the sign in the middle of two terms. For example:

3y + 1

conjugate of 3y + 1 is 3y - 1.

Therefore, the conjugate of 4 + 3i is 4 - 3i.

The product of 4 + 3i and its conjugate is as follows:

(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²

Therefore,

16 - 9i²

i² = -1

Hence,

16 - 9(-1) = 25

It can be written in the form a complex form → (25 + 0.i)

Therefore, a = 25 and b = 0.

learn more on conjugate here: https://brainly.com/question/20757260

Answer:

28.42 feet

Step-by-step explanation:

Given

To Find

Solving

Answer:

28.4 feet

Step-by-step explanation:

The question can be solved by using Pythagoras Theorem.

Given:-

Height of tree :- 18 feet (Perpendicular)

length of shadow :- 22 feet (Base)

To find:-

Distance of shadow from the end to the top of the tree

Solution:-

We know the Pythagoras theorem,

Which is , H² = P² + B²

So putting the given value , we get

H² = 18²+22²

H² = 324 + 484

H = √ 808 feet

H = 28.4 feet

Answer:

8a + 24

Step-by-step explanation:

Use Distributive property: a(b +c) = a*b + a*c

Here a = 8 ;  b= a & c = 3

8(a + 3) = 8*a + 8*3

            = 8a + 24

Answer:

4/9 is left over.

Step-by-step explanation:

First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.

hope it helps....!!!!!

Answer:

D, the last prism, with a volume of 512cm^3

Step-by-step explanation:

A: 5 x 7 x 12 = 420

B: 8.5 x 11 x 3 = 280.5

C: 3 x 13 x 11 = 429

D: 8 x 8 x 8 = 512

512 is the biggest. D.

Please let me know if I mis-read any of the numbers - it's quite hard to see.

If you need further explanation, let me know!

- profparis

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%

Answer:

1/162

Step-by-step explanation:

first spin 1/9

land heads 50/50

second spin 1/9

so (9 x 2) x 9

= 162

    1

Answer:

1/162 or 0.62 % to the nearest hundredth.

Step-by-step explanation:

Prob(spinning a 4) = 1/9

Prob(spinning a 7) = 1/9

Prob(flipping a head) = 1/2

Required Probability = 1/9 * 1/2 * 1/9

1/162.

Answer:

15

Step-by-step explanation:

15 is the answer

If you need solution do let me know in the comments

Answer:

2/20 chance that they get both the prizes

Answer:

Step-by-step explanation:

The given triangle is right because the side adjacent to 60° angle is half the length of the hypotenuse.

Side a = BC is opposite to ange A, its measure is:

Correct choice is D

Answer:

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

Step-by-step explanation:

Side a is the side opposite angle A.  

Side b is the side opposite angle B.  

Side c is the side opposite angle C.  

We have been given the lengths of 2 sides and the included angle.

Therefore, to find side a use the cosine rule.

Cosine rule

  [tex]a^2=b^2+c^2-2bc \cos A[/tex]

where:

From inspection of the triangle:

Substitute the given values into the formula and solve for a:

[tex]\implies a^2=b^2+c^2-2bc \cos A[/tex]

[tex]\implies a^2=2^2+4^2-2(2)(4) \cos 60^{\circ}[/tex]

[tex]\implies a^2=4+16-16\left(\dfrac{1}{2}\right)[/tex]

[tex]\implies a^2=4+16-8[/tex]

[tex]\implies a^2=12[/tex]

[tex]\implies a=\sqrt{12}[/tex]

[tex]\implies a=\sqrt{4 \cdot 3}[/tex]

[tex]\implies a=\sqrt{4}\sqrt{3}[/tex]

[tex]\implies a=2\sqrt{3}[/tex]

Therefore, the exact length of side a is 2√3.

Answer: 5

Step-by-step explanation:

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:

A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.

Answer:

24 per bag

Step-by-step explanation:

18x8=144 then divide by 6= 144÷6=24

Answer:

Acute angle

Step-by-step explanation:

Acute angle = less than 90 degrees

Answer:

acute angles

Step-by-step explanation:

Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles.

Answer: x=20

Step-by-step explanation:

(6x-10)=(3x+50) (subtract both sides by 3x)

3x-10=50(add ten to both sides)

3x=60(divide both sides by 3)

x=20

[tex] \mathsf\red{♧ANSWER♧}[/tex]

[tex] \mathsf \blue{5 \frac{2}{5} - 3 \frac{7}{10} }[/tex]

[tex] \blue \implies \mathsf \green{ \frac{27}{5} - \frac{37}{10} }[/tex]

[tex] \blue \implies \mathsf \green{2( \frac{27}{5} ) - \frac{37}{10} }[/tex]

[tex] \blue \implies \mathsf \green{ \frac{54}{10} - \frac{37}{10} }[/tex]

[tex] \blue \implies \mathsf \green{ \frac{17}{10} = 1 \frac{7}{10} = 1.7}[/tex]

Step-by-step explanation:

this is very simple.

you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"

well, it is 70 - 30 = 40 !

that's it ! that is all there is to it.

so, q = 40°

what is still unclear, please ?

Answer:

You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:

Step-by-step explanation:

P = 5s, where s is the length of a side

P = 2r × Sin(180/5), where r is the radius

It's a trapezoid

Now

Area:-

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

you count how many blocks they are from each other

[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]

Answer:

0.1 percent

Step-by-step explanation:

sorry I don't have an explanation. sorry if it's wrong, at least I tried

Answer:

0.1

Explanation:

It's right

Answer:

[tex]y < -8[/tex]

[tex]y > 4[/tex]

Step-by-step explanation:

Absolute Value Inequality entered :

     |y+2|>6

Step by step solution :
Step 1: Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

     |y+2| > 6

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |y+2|

For the Negative case we'll use -(y+2)

For the Positive case we'll use (y+2)

Step 3: Solve the Negative Case

     -(y+2) > 6

    Multiply

     -y-2 > 6

    Rearrange and Add up

     -y > 8

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     y < -8

    Which is the solution for the Negative Case

Step 4: Solve the Positive Case

     (y+2) > 6

    Rearrange and Add up

     y > 4

    Which is the solution for the Positive Case

Step 5:

Wrap up the solution

 y < -8

 y > 4

Solutions in Interval Notation

   (-∞,-8)

   (4,+∞)

Solutions on the Number Line

Two solutions were found :

 y > 4

 y < -8