The radius of a circle is 5 m. Find its area in terms of .

Answer:

B. 2/9

Step-by-step explanation:

3/8 = 0..375

2/9 = 0.2222222222

3/10 = 0.3

5/16 = 0.3125

the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers

Answer:

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as

h = 2s

The total number of hats and scarves that she wants to make is 20. This is expressed as

h + s = 20

Therefore, the system of equations that represents this situation are

h = 2s

h + s = 20

Answer: The answer is letter C

Step-by-step explanation:

Answer:

He can make 2 batches of lemonade with 1 pint of lemon juice.

Step-by-step explanation:

First convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To get the number of batches  that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;

Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice

8 fluid ounces = 1 batch

16 fluid ounces = x

cross-multiply

8x = 16

Divide both-side of the equation by 8

8x/8 = 16/8

x= 2 batches.

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

He can make 2 batches of lemonade with 1 pint of lemon juice.

Given that,

Farid uses 8 fluid ounces of lemon juice in one batch of lemonade.

We have to determine,

How many batches can he  make with 1 pint of lemon juice?

According to the question,

First, convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To find the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, the equation can be simplified by using proportion;

Let, x be the number of batches Farid can make with 1 pint (16 fluid ounces) of lemon juice.

8 fluid ounces = 1 batch

16 fluid ounces = x batch

Solving the equation by cross multiplication,

[tex]\dfrac{8}{16} = \dfrac{1}{x}\\\\8x = 16\\\\x = \dfrac{16}{8}\\\\x = 2[/tex]

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

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Answer:

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3?  Assume x =/ 0 y =/ 0

Step-by-step explanation:

The actual answer is B

3/5x^6y^6

on edg just took the test myself and B is the correct answer...  Good Luck!!!

The resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Given the indices expression;

[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}[/tex]

Applying the law of indices, the expression will become;

[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}\\\frac{9}{15} x^{-1-5}y^{-9-(-3)}\\\frac{9}{15} x^{-6}y^{-9+3}\\[/tex]

HenceSimplify the resulting expression to have:

[tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Hence the resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

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Answer:40 min

Step-by-step explanation:

5+.10x=3+.15x

-.10. -.10

5= 3+.05x

-3. -3

2=.05x

Divide by .05

X=40

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

ratio = 2.98 money / gallon

Nancy paid 2.98 per gallon of gasoline.

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

[tex] \frac{24}{35} [/tex]

alternative form:

[tex] 0.685714286 [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]

Answer:

5. 34°

6. 29.7

Step-by-step explanation:

5. Using sine law

25/sin(93) = 14/sin(C)

sin(C) = 0.5592325395

C = 34.00273934°

6. Using cosine law

AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)

AC² = 880.507229

AC = 29.67334206

Answer:

5. m∠C ≈ 34°

6. AC ≈ 29.7 metres

Step-by-step explanation:

5. We need to use the Law of Sines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Here, a = 25, ∠A = 93°, and c = 14, so we want to find ∠C:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

[tex]\frac{25}{sin93} =\frac{14}{sinC}[/tex]

sinC ≈ 0.56

∠C ≈ 34°

6. We need to use the Law of Cosines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:

[tex]c^2=a^2+b^2-2abcosC[/tex]

[tex]b^2=a^2+c^2-2accosB[/tex]

[tex]a^2=b^2+c^2-2bccosA[/tex]

Here, a = 23.2, c = 18.1, ∠B = 91°, and b = x. We want to find b, so:

[tex]b^2=a^2+c^2-2accosB[/tex]

[tex]x^2=23.2^2+18.1^2-2*23.2*18.1*cos(91)[/tex] ≈ 880.5

x ≈ 29.7 metres

Answer:

False.

Step-by-step explanation:

A trapezoid is only ONE pair of parallel sides, not two.

There are 20 rosebushes, Juanita painted 3/4 of them.

So, we can convert 3/4 into a decimal or just multiply it by 20 to get the number of rose bushes that were painted red. Either way works.

Work:

20 x 3/4 = 15

3/4 = .75

.75 x 20 = 15

20 - 15 = 5

Therefore, 15 rosebushes were painted red and 5 rosebushes were painted white.

Answer:

Step-by-step explanation:

you can answer this on photo math

Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]

Thus , the standard deviation of the samnple proportion is 5.32.

Answer:

6 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

A = 3 *2 = 6 cm^2

Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

Answer:

5 unit

Step-by-step explanation:

by taking the two points and calculating their distance

length of each side of the park=

sq.rt[(6.5-2.5)^2 + (0-3)^2]

=5

Answer:

22.6 feet

Step-by-step explanation:

Let x be the length of tree

tan(62) = x/12

x = 12tan(62)

x = 22.56871758

The height of the given tree is required.

The height of the tree is 22.57 feet.

[tex]\theta[/tex] = Angle of elevation = [tex]62^{\circ}[/tex]

s = Length of shadow = 12 feet

t = Tree height

From the trigonometric ratios we get

[tex]\tan \theta=\dfrac{t}{s}\\\Rightarrow t=s\tan\theta\\\Rightarrow t=12\times \tan62^{\circ}\\\Rightarrow t=22.57\ \text{feet}[/tex]

The height of the tree is 22.57 feet.

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Answer:

Step-by-step explanation:

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is [tex]x[/tex]

According to the question, Age of oldest child is [tex]=x+4[/tex]

Eldest child age [tex]=x-2[/tex]

Sum of the ages of children is [tex]26[/tex]

[tex]x+4+x+x-2=26[/tex]

[tex]3x+2=26[/tex]

[tex]3x=24[/tex]

[tex]x=8[/tex]

Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]

Answer: option A is correct

Step-by-step explanation:

The given side lengths are

A) 5, 12, 13

B) 4, 4, 8

C) 2, 3, 4

To be able to form a right ange triangle, the given side lengths must be a Pythagorean triple. Pythagorean triple obeys the Pythagorean theorem such that

Hypotenuse² = opposite side² + adjacent side²

Hypotenuse = the longest side

Applying it to the given options,

A) 13² = 5² + 12² = 25 + 144

169 = 169

It forms a right angle triangle

B) 8² = 4² + 4² = 16 + 16

64 ≠ 32

It does not forms a right angle triangle

C) 4² = 3² + 2²

16 ≠ 13

It does not forms a right angle triangle

Answer:

Option A) 5, 12, 13 is a right angle triangle.

Option C) 2, 3, 4 is approximately a right angle triangle.

Step-by-step explanation:

A right angle triangle always follow pythagora's theorem which basically states that the addition of the squares of the two smaller sides must give the square of the largest side.

For option A)

5^2 + 12^2 = 25 + 144 = 169

Square root of 169 is 13, so it's correct.

For option B)

4^2 + 4^2 = 16 + 16 = 32

Square root of 32 is 5.65, which is not equal to 8. This is not a right angle triangle.

For option C)

2^2 + 3^2 = 4 + 9 = 13

Square root of 13 is 3.606, approximately 4. So this is approximately a right angle triangle.

If the answer requires that it must be exact then choose only A, Otherwise, A and C are correct.

Answer:

you won't roll the same number 5 times

Answer:

I’ll help you just show me the question

Step-by-step explanation:

Answer:

Hey!

Your answer is 56 miles!

Step-by-step explanation:

To find speed, we do 294 divided by 5hrs and 15mins (5.25)

So next= 294 / 5.25

Which gives us 56 mph!

HOPE THIS HELPS!!

The car travel 56 miles per hour.

The speed can be defined as the rate at which an object covers some distance.

Here, we know that,

Speed = Distance / Time

Now, Distance = 294 miles

         Time = 5 hours and 15 minutes

                  = 5.25 hours.

Now, Speed = 294 / 5.25

                     = 56 miles per hour.

Thus, the car travel 56 miles per hour.

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Answer: The answer is given below

Step-by-step explanation:

From the question, James has a lot of games while his friend Samuel, has 4 times as many games as James.

Let the number of games James has be represented by g.

Since Samuel has 4 times as many games as James, then Samuel's game will be:

= 4 × g

= 4g

The expression for James is g.

The expression for Samuel is 4g.

Answer:

Three squares that form right triangle:

A, E and C

Step-by-step explanation:

Area of E = 1^2 = 1

Area of A = 2.4^2 = 5.76

Area of C = 2.6^2 = 6.76

Area A + Area E = Area C

Answer:

Step-by-step explanation:

Given

When video is posted 5 people watched it

Next day number of viewers doubled

Suppose this trend continues i.e. No of viewers doubled each day

So on 2 nd day no of viewers is [tex]2\times 5[/tex]

On 3rd day , viewers [tex]2^2\times 5[/tex]

on n th day , viewers is [tex]2^{n-1}\times 5[/tex]

So no of viewers in 1 year i.e. on 365 day

[tex]=2^{365-1}\times 5[/tex]

[tex]=2^{364}\times 5[/tex]

(ii)Day on which 640 people seen the video

[tex]2^{n-1}\times 5=640[/tex]

[tex]2^{n-1}=128[/tex]

[tex]2^{n-1}=2^7[/tex]

Therefore

[tex]n-1=7[/tex]

[tex]n=8\ days[/tex]

Answer:

True

Step-by-step explanation:

Let A denotes the point (1,7)

Let B denotes the point (5,5)

We are supposed to find The length of the line segment containing the points

Formula : [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex](x_1,y_1)=(1,7)\\(x_2,y_2)=(5,5)\\ d = \sqrt{(5-1)^2+(5-7)^2}\\ d = \sqrt{4^2+(-2)^2}\\ d = \sqrt{4^2+(-2)^2}\\d=4.47[/tex]

So,The length of the line segment containing the points (1,7) and (5,5)  is 4.47 units is true.

Hence Option A is true

Answer:

de choices i see are matcheing up to A not sure tho could be C

Step-by-step explanation:

codeine