Solve one of the two problems for x. The answers for both are the same. You are more than welcome to do both to check your answer!
Make sure you round to the nearest tenth if necessary.

9514 1404 393

Answer:

  C.  161.459 square feet

Step-by-step explanation:

In feet, the dimensions of the pool are ...

  (5 m)(3.28084 ft/m) = 16.4042 ft

  (3 m)(3.28084 ft/m) = 9.84252 ft

Then the area of the pool is ...

  (16.4042 ft)(9.84252 ft) = 161.458666584 square feet

  about 161.459 square feet

_____

Additional comment

If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.

Answer:

Answer:

The second one is right

The third one is wrong.

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

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Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

Answer:

10% or 1/10 chance

Step-by-step explanation:

The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.

Answer:

D

Step-by-step explanation:

180-152= 28°

4x+6x-8+28=180

10x=160

x=16°

kjl= 6x-8= 88°

Answer:

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Step-by-step explanation:

As the given Augmented matrix is

[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 1 :

[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 2 :

[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]

Step 3 :

[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]

Step 4 :

[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]

Step 5 :

[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]

Step 6 :

[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]

∴ we get

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Answer:HOLA I Do not speack spanish

Step-by-step explanation:

Answer:

P(A, B or C) = 6/7 or 0.8571

Step-by-step explanation:

From the image, we have the frequency for each grade as;

Grade A = 5

Grade B = 10

Grade C = 15

Grade D = 3

Grade F = 2

We want to find the probability that a student earns a grade of A, B or C.

Total frequency for A, B & C = 5 + 10 + 15 = 30

There are a total of 35 students overall for the geometry course.

Thus;

P(A, B or C) = 30/35

P(A, B or C) = 6/7 or 0.8571

Answer:

Step-by-step explanation:

Total frequency for A, B & C = 5 + 10 + 15 = 30

There are a total of 35 students overall for the geometry course.

P(A, B or C) = 30/35

P(A, B or C) = 6/7 or 0.8571

now we round to the hundredths place

0.8571 ⇒ 0.86

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

Work Shown:

We use the intersecting chords theorem

(AH)*(HG) = (FH)*(HB)

(x-2)*(x+7) = (2x-1)*(4)

x*(x+7) - 2(x+7) = 4(2x-1)

x^2+7x - 2x - 14 = 8x - 4

x^2 + 7x - 2x - 14 - 8x + 4 = 0

x^2 - 3x - 10 = 0

(x - 5)(x + 2) = 0

x-5 = 0 or x+2 = 0

x = 5 or x = -2

If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2

If x = 5, then we find the following lengths

Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.

Answer:

$1.50 is 105 Naira

Step-by-step explanation:

If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...

1.5 x 70 = 105 (Naira)

Answer:

105 Naira

Step-by-step explanation:

Please see the attached image.

I hope this helps!

Answer:

?????????

Step-by-step explanation:

wheres the equation

Answer:

I dont kn0w try g00gle searches

Answer:

B. M(t)= 5240+240t

Step-by-step explanation:

cause

Answer:

m<5=101.9    m<8=101.9

Step-by-step explanation:

alternate interior and vertical angles

Answer:

(a) m∠5=<4[alternate angle]=101.9°,

(b) m∠8=<5[vertically opposite angle]=101.9°,

Answer: 7964.97 in³

Step-by-step explanation:

A drum is a cylinder. Therefore, we will have to calculate the volume of a cylinder which will be:

Volume = πr²h

where π = 3.142

r = Diameter/ 2 = 26/2 = 13

h = 15

Volume = πr²h

= 3.142 × 13² × 15

= 3.142 × 169 × 15

= 7964.97 in³

Answer:

447 / 50

Step-by-step explanation:

447 / 50 Because if you divide it you will get 8.94 same answer

Answer:

inproper fraction would be 447/50 but the proper fraction would be 8 47/50

Answer:

Options C. -5/a

x =1/a is the solution for the given equation. Option D is correct.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation first:

10 = 2 - 4(ax - 3)

10 = 2 - 4ax + 12 (distribute the negative 4)

10 = -4ax + 14 (combine like terms)

Now we can isolate the variable x by subtracting 14 from both sides and then dividing by -4:

10 - 14 = -4ax

-4 = -4ax

x = 1/a

Therefore, the solution to the equation is x = 1/a.

Learn more about algebraic Expression here:

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Answer:

30 kilometers

Step-by-step explanation:

Answer:

21 mins

Step-by-step explanation:

9+10=21

Answer:

-5

Step-by-step explanation:

Answer:

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Step-by-step explanation:

Runner A is 0.25 miles behind Runner B.

Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.

This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.

How long will it take Runner A to catch up to Runner B?

1 hour - 1.5 miles

x hours - 0.25 miles

[tex]1.5x = 0.25[/tex]

[tex]x = \frac{0.25}{1.5}[/tex]

[tex]x = \frac{1}{6}[/tex]

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Answer: If you divide 202/4=50.5 or 50 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 is a factor of 15 and 35

15:35 = 3:7

Answer:

DE=23

Step-by-step explanation:

Since E is the midpoint of DF, we know that DE and EF are equal. Thus, we can set them equal to eachother and solve.

8x-1=6x+5

2x=6

x=3

After that, plug 3 back into DE.

6(3)+5= DE

18+5= DE

23=DE

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

Answer:

T = PV / NR

Step-by-step explanation: