Calculate the length of CD if the area of △BCD is 150 cm ²

Answer:

4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9

Answer:

1/9

Step-by-step explanation:

4:36 as a ratio can be written in the form of a fraction.

4/36

Simplify the fraction using the highest common factor.

4÷4/36÷4

1(4)/9(4)

The 4's cancel.

1/9

Answer:

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Step-by-step explanation:

Given that circle P, i.e. center is point P.

QS is diameter with length 20 cm.

Given that RP is the radius with

[tex]\angle RPS = 123^\circ[/tex]

To find length of arc QR = ?

Solution:

Arc QR subtends the [tex]\angle QPR[/tex] on center P.

So, we need to find the angle [tex]\angle QPR[/tex] to find the length of arc QR.

QS is the diameter so [tex]\angle QPS = 180^\circ[/tex]

[tex]\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ[/tex]

Converting in radians,

[tex]\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians[/tex]

Using the formula for length of arc:

[tex]l = \theta \times R[/tex]

Where [tex]\theta[/tex] is the angle subtended by the arc on center.

R is the radius of circle.

Here,

[tex]\theta = 0.99\ radians\\R = 10\ cm[/tex]

[tex]l = 0.99 \times 10\\l = 9.9\ cm[/tex]

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Answer:

9.9 cm

Step-by-step explanation:

Answer: I'm not sure if this is right but I believe its point E, F, G, J

Step-by-step explanation:

Don't use this without getting confirmation I don't want to trip anyone up!

Answer: EFG is correct

Step-by-step explanation:

I did the quiz

Answer:

My friend's mower will take approximately 0.75 h to mow the lawn alone.

Step-by-step explanation:

To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:

[tex]speed = \frac{distance}{time}[/tex]

Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:

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

When my friend's mower does the job, its speed "y" can be seen as:

[tex]y = \frac{lawn}{time}[/tex]

When both work together the speed can be seen as:

[tex]x + y = \frac{lawn}{0.5}[/tex]

Applying the first two equations on the second, gives us:

[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]

My friend's mower will take approximately 0.75 h to mow the lawn alone.

Answer:

The angle at vertex D is acute

Triangle DEF is a right triangle

Step-by-step explanation:

Acute means that the angle is smaller that 90degrees

Correct statement are,

The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Triangle DEF has a 90° angle at vertex E.

Since, In triangle DEF,

vertex E has 90 degree.

So, Possible value of angle E and F are less than 90 degree

Hence, The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

Learn more about the angle visit:;

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Answer:

3s+15

Step-by-step explanation:

let 's' be the length of the shortest side

-> twice as long as the length of the shortest side =2s

->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3

-> the third side= 12 feet

p = s + 12 + 2s+3

p= 3s+15

Answer:

n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right

Answer:

n = 17

Step-by-step explanation:

The opposite angles of a Parallelogram are equal.

So,

4n-2 = 2n+32

4n-2n = 32+2

2n = 34

Dividing both sides by 2

n = 17

Answer:

a = √a b = √5 c = √10

ac/b = (√a)(√10)/√5

= √ 10 × a /√5

= √10a / √5

Rationalize the surd

√10a ×√5/(√5)²

= √50a /5

= 5√2a/ 5

= √2a

The final answer is √2a

Hope this helps

Answer:

binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número

Step-by-step explanation:

The multiplicative rate of change of the function is 2.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.

Given that the values of the variables x and y are,

x    y

1     6

2    4

The rate of change will be calculated as,

Rate  of change  = ( y₂ - y₁ ) / ( x₂ - x₁ )

Rate  of change  = (4 - 6 ) / ( 2 - 1 )

Rate of change = -2

The multiplicative rate of change will be 2.

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Answer:

its 10 am I think

Step-by-step explanation:

it says 2 hours until midnight. 12 - 2 = 10

Answer:

its 10 am

Step-by-step explanation:

12 - 2 = 10

Answer:

no, janet could not have won 10 games because 3x is not equal to 24

Step-by-step explanation:

if janet won twice as many as nadia that means nadia times 2

so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d

hope this helps

Answer: No; Janet could not have won 10 games because 3x ≠ 24

Step-by-step explanation:

Janet and Nadia won 30 games together. 10x2(10)=30

! !

—

Answer:

[tex]L=(\frac{TG}{2\pi })^2[/tex]

Step-by-step explanation:

[tex]T=2\pi \sqrt{L}/G[/tex]

[tex]TG=2\pi \sqrt{L}[/tex]

[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]

[tex](\frac{TG}{2\pi })^2 =L[/tex]

Answer:

[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

12000 liters.

Step-by-step explanation:

The depth of the oil in the tank is 1.2 m.

The height of the oil is 1.2 m.

Length is 5 m and width is 2 m.

The volume of a rectangular prism is l×w×h.

5×2×1.2

= 12

The volume of the oil in the tank is 12 m³.

1 m³ = 1000 liters

12×1000 = 12000 liters.

The quantity of oil in the tank is 12000 liters.

Answer:

-1/3

Step-by-step explanation:

the slope is always run over rise.

In this case we ran 1 spot to the right from where the line crosses the y axis and then 3 down.

so that gives us 1/3 but since the line is negative, the slope is also negative

Answer:

C

Step-by-step explanation:

i just took the test

Answer:

A, a rhombus has all the properties of a square.

Step-by-step explanation:

Not all quadrilaterals will be the same

Answer:

x^2-6x + 14

Step-by-step explanation:

Here, we want to

write the standard form of the quadratic equation in the question.

This can be written by expanding the bracket.

F(x) = (x-3)^2 +5

F(x) = (x-3)(x-3) + 5

F(x) = x(x-3)-3(x-3) +5

F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

Answer:

its B

Step-by-step explanation:

Answer:

m = -5, 0

Step-by-step explanation:

Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.

Answer:

3(x²-4) or 3x²-12

Step-by-step explanation:

x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)

Answer:

0.00054

Step-by-step explanation:

Gold ball: we have one chance of choosing the correct ball from 1 to 48, so the probability is 1/48

White balls: we will pick 4 numbers from 1 to 51, so the total possibilities of groups of numbers we can choose is a combination of 51 choose 4:

C(51, 4) = 51! / (4! * 47!) = 51*50*49*48/(4*3*2)

If we want to correctly guess two numbers, we have groups of 2 winning numbers in the 4 numbers we guess, so a combination of 4 choose 2, and we also have to incorrectly guess the other 2 winning numbers in the 47 remaining numbers we didn't choose, so a combination of 47 choose 2:

C(4, 2) = 4! / (2! * 2!) = 4*3/2 = 6

C(47, 2) = 47! / (2! * 45!) = 47*46/2

The probability of the white balls case is the two combinations above over the total number of cases (the first combination we calculated):

P = C(4, 2) * C(47, 2) / C(51, 4)

P = (6 * 47 * 46/2) / (51 * 50 * 49 * 48/(4*3*2))

P = (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.026

Then the final probability is the probability in the gold ball case times the probability in the white balls case:

P = (1/48) * (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.00054

Answer:

82%

Step-by-step explanation:

(20×90+80×80) / (20+80) = 8200 / 100 = 82.00

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just did it

Answer:

-0.84

Step-by-step explanation:

hope ths helps i did the test btw :)

Answer:

2 sqrt(5)

Step-by-step explanation:

To find the geometric mean to two numbers

sqrt( x*y)

sqrt( 5*4)

sqrt(5) * sqrt(4)

2 sqrt(5)

Answer:

A) Corresponding Angles Theorem (They correspond to each other)

B) If <XBC = 55 Then <XCB = 55

(Because they both are opposite to equal sides)

Now, Finding <BXC:

=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)

=> <BXC = 70 degrees

Answer:

the inverse is :10^x/2

Step-by-step explanation:

f(x)= log2x.

f^-1(x)=10^x/2