The Clinton family is building a circular swimming pool. If the radius of the pool is 5 feet, what is its circumference? Use π = 3.14 to solve.

Answer:

Option (a) is correct.

a = 15.68 and  b = 19.58

Step-by-step explanation:

Given: A triangle with some given measurements.

We have to find the values of a and b.

For a triangle ABC , with side opposite to angle A is a , side opposite to angle B is b and side opposite to angle C is c,

Using Sine rule , we have,

For the given Δ ABC,

∠A = 50° , ∠B = 107°

AB = c = 8 , AC = b and BC = a

Using angle sum property of triangle,

Sum of angles of a triangle is always 180°

So ,  ∠A + ∠B +∠C = 180°

Solving for ∠C , we get,

∠C = 180° - 107° - 50°

∠C = 23°

Substitute in Sine rule  , we have,

Consider first and last  ratios, we have,

Solving for a, we have,

We get , a = 15.68

Consider last two ratios, we have,

and now solving for b ,

We get , b = 19.58

Thus, option (a) is correct.

a = 15.68 and  b = 19.58

Answer:

what

Step-by-step explanation:

Answer:

7 Gallons and 6 pints !

Step-by-step explanation:

62 ÷ 8 = 7.75 gal.

0.75 gallons is 6 pints.

So, Its 7 gallons and 6 pints

Answer:

7 gallons 4 pints

Step-by-step explanation:

2 pints = 1 quart and 4 quarts = 1 gallon, and so 8 pints = 1 gallon

Write and solve an equation of proportions to answer this question:

 8 pints         1 gal

--------------- = -----------

62 pints            x

Cross-multiplying, we get 8x = 62, or 7 1/2.

That's 7 gallons 4 pints.

Answer:

9.8 * 10^-11

Step-by-step explanation:

The exponent will be negative as the number is less than 1.

After the decimal point there are 11 digits up to and including the 9.

Answer:

x = 5

Step-by-step explanation:

4(x + 3) = 32

Use Distributive Property

4x + 12 = 32

Subtract 12 on both sides

4x = 20

Divide 4 on both sides

x = 5

Hope this helps! ^^

Step-by-step explanation:

simplify

log(x)/log(4) = 0

simplify

log(4x)/log(4) = 1

expand

2log(5)/log(4) + log(4x)/log(4) = log(100)/log(4)

factor

2log(5) + log (4x) / log(4) = log (100) / log (4)

then

x=1

Answer:

radius is 16 inches

Step-by-step explanation:

C = 2πr

96 = 2(3) r

16 = r

Answer:

i think A tell me if it is wrong pls

Step-by-step explanation:

Answer:

×= 4 and the perimeter is 18

Step-by-step explanation:

(x+3)(x-2)=14

x^2+x-6=14

x^2+x-20=0

(x+5)(x-4)=0

x=4

perimeter = 7(2)+2(2)=18

Answer: hewo, there! your answer is below

x= -5/4

or x= 8

Step-by-step explanation:

step 1: Subtract 27x+40 from both sides.

4x2−(27x+40)=27x+40−(27x+40)

4x2−27x−40=0

Step 2: Factor left side of equation.

(4x+5)(x−8)=0

Step 3: Set factors equal to 0.

4x+5=0 or x−8=0

hope this helps you

have a great Day

Plz makr branilest

Answer:

The two lines are neither parallel nor perpendicular

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope of the line and b is the y intercept of the line

Now, we express the two given equations in this form

We have this as;

7y = x + 5

y = 1/7(x) + 5/7

For the second equation, we have;

y = 7x - 4; this is already expressed

the slope of the first line is 1/7

the slope of the second line is 7

when two lines are parallel, their slopes are equal

when two lines are perpendicular, the product of their slopes is -1

As we can see, both cases does not occur in this system of equations

So, we can conclude that both lines are neither parallel nor perpendicular

Answer:

Hello it is a reduction because it is smaller then the original shape and the green shape is the dilation!

Its a scale factor of 1/2 Hope this helps!

Answer:

Step-by-step explanation:

It's a reduction (smaller) so the scale factor is  less than 1.

In fact it is 1/2 as for example B (4, 4) maps to B' (2, 2).

Answer:

One thousand

Step-by-step explanation:

Answer: one thousand

Step-by-step explanation:

A thousandth is one of a thousand equal parts of something. ... a dust particle weighing only a thousandth of a gram.

Answer:

First option is correct answer that is arrow turning in right side.

You can follow me to get more answer.

Answer:

it would be 18 in 1 minute

Answer:

Step-by-step explanation:

2y + 1 is a binomial, in that it has two terms.

If we set 2y + 1 equal to x, then 2y = x - 1, or

        x - 1

y = -----------

           2

Answer:i dont remember

Step-by-step explanation:

Answer:

Tha answers is

1/6

Step-by-step explanation:

Hope this help

Answer:

£160

Step-by-step explanation:

£262 x (100% - 39%) = £159.82 ≈ £160

Answer:

159.82

Step-by-step explanation:

262-%

262-(39%-262)

61/100*262

we take hundred at the place of%

61*262/100

15982/100

159.82

therefore£160

Answer:

The answer is the letter D

Step-by-step explanation:

The sum of 2t and 2 could be written as:

[tex]a=2t+2[/tex]

Now, the twice of the cube of s will be:

[tex]b=2s^{3}[/tex]

Finally, the quotient between a and b will be:

[tex]\frac{a}{b}=\frac{2t+2}{2s^{3}}[/tex]

Therefore the answer is the letter D

I hope it helps you!

Answer:

45.5

Step-by-step explanation:

First, you need to put the data in order: 37, 39, 41, 43, 48, 51, 52, 54

I'm not sure what 5 median means, but to find the median, you look for the middle number of the data set.

43 + 48 = 91      

then, you divide the numbers by 2 to get the median.

91/2= 45.5

So, the median is 45.5

Answer:

-12 and 8

Step-by-step explanation:

Answer:

8 and -12

Step-by-step explanation:

xy = -96

x+y = -4

x = -y-4 which is the same as

substitution method:

y(-y-4) = -96

-y² - 4y + 96 = 0

-(y² + 4y - 96) = 0

(y + 12)(y - 8) = 0

y = -12

y = 8

Answer:

x=4

Step-by-step explanation:

C+E=180

14x-8+132=180

14x=180-132+8

14x=56

x=4

Answer:

10°

Step-by-step explanation:

132° = (14x - 8)°

140° = 14x

× = 10°

Answer:

Step-by-step explanation:

hello :

d. No solution

Answer:

Picture #1

Triangles ΔJKL and ΔXYZ have:

∠X is corresponding to ∠J, since they are different (90° vs 38°), the triangles can't be similar

Picture #2

Perimeter is the sum of the sides each has same ratio.

The ratio of the perimeters will be same as the ratio of each corresponding pair.

Correct choice is C. 3:5

Picture #3

Use ratios of corresponding sides:

Correct choice is B

Answer:

f(x^3-8)=x^6-19x^3+90

Step-by-step explanation:

Answer:

10) min = 5

max = 225

IRQ = 60

That's all I got

sorry

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution is in the picture