Joel has a goal to practice his clarinet for 4 1/2 hours per week. The list below shows the number of hours Joel has practiced so far this week.
Monday: 1 1\2 hours
Wednesday: 1 1\4 hours
Thursday: 1 hour
How many more hours does Joel need to practice this week to meet his goal?

Answer:

49ft²

Step-by-step explanation:

A=bh

A=bh=9.8·5=49

Answer:

∠KPL = 80°

Step-by-step explanation:

As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.

The angle at the circumference in a semicircle is always a right angle.  So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°

The sum of the interior angles of a triangle is 180°.

Therefore, ∠KLM + ∠KML + ∠LKM = 180°

As ∠KLM = 90° and ∠KML = 50°

⇒ 90° + 50° + ∠LKM = 180°

⇒ ∠LKM = 40°

As ∠PKM = 90° then

⇒ ∠PKL = 90 - ∠LKM

              = 90 - 40

              = 50°

Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL

Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.

Since ∠PKL = 50° then ∠PLK = 50°

Again, as the sum of interior angles of a triangle is 180°:

⇒ ∠KPL + ∠PKL + ∠PLK = 180°

⇒ ∠KPL + 50° + 50° = 180°

⇒ ∠KPL = 80°

Answer: -1

Step-by-step explanation:

Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h

The number of miles planned on Saturday is 19 milea

This means the sequence where the difference between one term and the next term is a constant.

In this case, the following information are illustrated:

Sunday: 1 miles

Monday: 4 miles

Tuesday: 7 miles

Wednesday : 10 miles

Thursday: 13 miles

Friday: 16 miles

As we can see there's a difference of three between them. This can be seen as:

= 4 miles - 1 mile

= 3 miles

Therefore, the number planned on Saturday will be:

= Friday + 3 miles

= 16 miles + 3 miles

= 19 miles

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Answer:

[tex]\boxed{\dfrac{1}{2} = m}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

Step-1: Subtract 1/4 both sides

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

[tex]\dfrac{3}{4} - \dfrac{1}{4} = m[/tex]

[tex]\dfrac{2}{4} = \boxed{\dfrac{1}{2} = m}[/tex]

Answer:

changing the currency $ to #

$1000 = #415,640.00

i=prt (formular)

given:

I =?

p = $1000 or #415,640.00

r = 6%

t = 2 years

i= 415,640.00×6×2÷100

i= #49876.8

without changing currency

i= 1000×6×2÷100

i=120

Answer:

if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.

since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435

Answer:

{ - 4, - 1, 2, 5 }

Step-by-step explanation:

the range is the values of y from the ordered pairs in the relation

range = { - 4, - 1, 2, 5 }

Answer:

2 calls

Step-by-step explanation:

1/16x=1/8

X=2

Answer:

A

Step-by-step explanation:

B could be any number, and given that there is no sum, you cannot possibly determine what number B is.

Answer:

A

Step-by-step explanation:

An infinite solution has both sides equal.

In question 1,  the left part is equal to the right part

The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,

[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]

The exact value of cos (a+b)  has to be find out. It is given that,

[tex]\cos a= \dfrac{3}{5}[/tex]

The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,

[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]

Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,

[tex]\sin b = -\dfrac{8}{17}[/tex]

The value of b is lies between  3π / 2 <b < 2 π​. The value of the other side of the triangle using the Pythagoras theorem,

[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]

Thus, the value of cos b is, 15/17. Put the values in above formula,

[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]

Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

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Answer:

[D] 1/14

Step-by-step explanation:

Given that:

What is the probability of picking an orange marble and flipping tails?

Solution:

First let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.

Now multiply both together:

(1/7)× (1/2) = (1×1)/(7×2) = 1/14

This represents the probability of getting an orange marble and flipping tails.

In additionally 1/14 can't be simplify anymore.

Kavinsky

Answer:

[D] 1/14

Step-by-step explanation:

Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.

Which the probability is 1/7

Now for the coin.

Knowing that there are two sides on a coin

Heads and tails (1/2)

Which is only 1/2 also known as 50% probability.

Now multiply straight across:

1/2 × 1/7

⇒ 1 × 1 = 1

⇒ 2 × 7 = 14

Thus, the answer is 1/14

can't be farther simplify.

[RevyBreeze]

Answer:

I think the area is 513/21

Answer: The answer is B:350

Step-by-step explanation:

edge

Answer:

B

Step-by-step explanation:

Got it right

Answer:

12.0

Step-by-step explanation:

we solve using the pythagorean theorem.

sqrt of (12.5^2 - 3.5^2)

answer is 12

rounded of to the nearest tenth is 12.0

Check the picture below.

Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132

Answer:

3 cm

Step-by-step explanation:

To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).

From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:

6 = r · 2

Solving the equation gives us r = 3 cm. Hope this helps!

Check the picture below.

Answer:

5^(3)i^(9)= five cubes times i to the power of 9=125i

Step-by-step explanation:

Raise 5 to the power of 3

rewrite i9 as (i^4)2^i

so, you get 125((i^4)^2i)

i^4=1

125(1^2i)

125i

Answer:

$316.8

Step-by-step explanation:

9 x 44 = 396

396 × 0.80 = $316.8

or

396 * 0.20 = 79.2

396 - 79.2 = $316.8

Answer:

193.4 meters squared

Step-by-step explanation:

Area of rectangle = 7 X 15 = 105

Area of semi circle = 1/2 X π X R^2

R = 7.5

R squared = 56.25

π = 3.1415932654........

1/2 X 3.1415.... X 7.5^ 2 = 88.35729338

Rounded to one decimal place = 88.4

105 + 88.4 = 193.4m^2

126

A percentage is a proportion of some whole number. There are 2 ways to find percentages. Firstly, you can multiply by a decimal, or you can use a shortcut.

Multiplying with Decimals

You can always rewrite percentages as decimals. To do this move the decimal point 2 digits to the left. This means that 90% becomes 0.90. Then multiply this decimal by the whole number to find the correct percentage.

Shortcut

Because 90% is a multiple of 10%, we can use a shortcut. First off, find 10% of 140. To find 10% of any number, move the decimal 1 digit to the left. This means 10% of 140 is 14.0. Next, 90% is 10% less than 100%. So, subtract 10% from 140 to find 90%.

Answer:

126

Step-by-step explanation:

We need to find 90% of 140.

90% is the same as 0.9 or 9/10.

140 can be written as 14 x 10.

Multiply 14 x 10 with 9/10.

⇒ 14 x 10 x 9/10

[The 10 and 1/10 cancel out by cross multiplication]

⇒ 14 x 9

⇒ 126

Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.

The marginal revenue function of 30 - 0.2x is the differentiated revenue function.

Performing an integration will therefore give us the revenue function as:

= 30x - 0.1x²

Now that we have the revenue function and know that x = 60 suits, the revenue is:

= (30 x 60) - (0.1 x 60²)

= 1,800 - 360

= $1,440

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Answer:

She would have two leftover slices

Step-by-step explanation:

Answer:

She gave each children 1 piece of pie. She will have 2 leftover slices so she can cut both in half and each child can get another half of a single pie.

Answer:

C. 2

Step-by-step explanation:

It has only 2 congruent faces- bases

Answer: the answer is c which is 2 , 2 faces

Step-by-step explanation: as the cylinder has 2 faces . The cylinder is a prism and any prism has 2 faces . HOPE IT HELPS YOU BUDDY . PLEASE GIVE BRAINLIEST .THANKS .