Find the length of side x in simplest radical form with a rational denominator.

Answer:

11.0

Step-by-step explanation:

Using Pythagoras' identity in the lower right triangle.

let the hypotenuse be x , then

x² = 4² + 9² = 16 + 81 = 97

Within the rectangle, use Pythagoras' identity in the lower right triangle.

let y be the dotted line , then

y² = x² + 5² = 97 + 25 = 122 ( take the square root of both sides )

y = [tex]\sqrt{122}[/tex] ≈ 11.0 ( to the nearest tenth )

The dotted line is approximately 11.0 units

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer: D

Step-by-step explanation:

All you do is divide the answer by 3 for all vertices.

Answer:

B

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Answer:

diameter 8

and i think the circumference is 25.12

Step-by-step explanation:

4+4=8

3.14(8)

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Answer: 2/125

Explanation:

I hope this helped!

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- Zack Slocum

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Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

Answer:

Step-by-step explanation:

10d = 8d + 40

2d = 40

d = 20

10(20) = P

200

(20, 200)

Option 1 is the first choice

yesStep-by-step explanation:

Answer:

17

Step-by-step explanation:

If Rin pulls out 1 blue marble from the bag then total marbles left in the bag now= 18 − 1 = 17

Now Misaki pulls out a marble: Probability of red marble= 3/17

probability of blue marble= 4/17

Answer:17

Step-by-step explanation:

Answer:

$200 + $10x = $375

Well we're going to round up to $380, cause their making money in increments of 10 rather than 5.

And based off that I'd subtract $375 from $200 (375 -200 = 180)

Then take that answer and divide it by 10. (180 / 10)

Jesse will need to wash at least 18 more cars in order to afford the bicycle

Answer:

The probability for getting a head and an even number is 0.25.

Step-by-step explanation:

S be the sample space of the event =  { (H,1) ,(H,2) ,(H,3) ,(H,4) ,(H,5) ,(H,6) ,(T,1) ,(T,2) ,(T,3) ,(T,4) ,(T,5) ,(T,6) }  

∴ n(S) = 12

Let A be the event getting a head and an even number when a coin is tossed and a six sided dice is rolled

Answer:

[tex]31,387\:\text{ft}[/tex]

Step-by-step explanation:

We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is ground distance between the plane and the airport:

[tex]\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}[/tex].

Answer:

1/2

Step-by-step explanation:

In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.

The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.

The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.

Thus the correct option is A, B and C.

To know more about ratio, visit;

https://brainly.com/question/29192438

#SPJ3

Your question is incomplete most probably your full question was:

what ratio below is not equivalent to the ratio 10:35

A. 3:5

B. 2:4

C. 1:3

D. 2:7

Answer:

x = - 9

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] = - 3 ( multiply both sides by 3 to clear the fraction )

x = - 9

Answer:

.13.5%

Step-by-step explanation:

The probability that a student will receive a grade between 74 and 76 is calculated as follows:

µ+2σ=70+2(2)=70+4=74

µ+3σ=70+3(2)=70+6=76

From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.

Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.

Thus, the correct options is A.13.5%.

2.15 is the answer, I did the test on it.

Answer:

77

Step-by-step explanation:

Answer:

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.

If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.

Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.

we observed that

9.89cm <11cm.

Therefore we show that:

the square will fit inside the circle without touching the edge of the circle

or

c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.

I hope this helps a little bit.

Answer:

2

Step-by-step explanation:

4n-2n=4

2n=4

n=4/2

n=2

Answer:

30 years.

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

Our unknown for this example is T, but first we have to see how much interest is earned.

200 - 80 = 120 in interest (starting with $80, ending with $200)

120 = (80)(0.05)(T)

120 = 4T

30 = T

Please lmk if you have questions.

Answer:

Equation for x:    3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = [tex]\frac{CD + FE}{2}[/tex]

3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

Answer:

$408.75

Step-by-step explanation:

25%=0.25

545*0.25=136.25

$545-$136.25=$408.75

Answer:

(4√2cos 135,  4√2sin135)

Step-by-step explanation:

determine two pairs of polar coordinates for the point (4, -4) with

Given the rectangular coordintate

r = √4²+(-4)²

r = √16+16

r = √32

r = √16*2

r =4√2

Theta = arctan(-4/4)

theta = arctan(-1)

theta = -45

theta = 180 - 45

theta = 135 degrees

x = rcos theta

y = rsin theta

x = 4√2cos 135

y = 4√2sin135

Answer:

3^-5

Step-by-step explanation:

x^-3=1/x^3

this rule applies to all negative exponents lol

Answer:

3.9 cm

Step-by-step explanation:

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

We can solve the above question using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

From the above question

Hypotenuse = 4 cm

1 leg = Opposite = 1 cm

Other leg = Adjacent = x

Hence

4² = 1 ² + x²

x² = 4² - 1²

x = √ 16 - 1

x = √15

x = 3.8729833462 cm

Approximately to the nearest tenth = 3.9 cm

The measure of the other leg is 3.9 cm

Answer:

180-124-33=23