Find the length of a side of a rhombus if the lengths of its diagonals
are:
6m and 8m

Answer:

3 but not positive

Step-by-step explanation:

Answer:

5! i just did this question

Step-by-step explanation:

Answer:

x = -7 or x = 2/3

Step-by-step explanation:

I'm assuming you meant solve for x when f(x) = 0.

f(x) = 3x(x + 7) - 2(x + 7)

0 = (x + 7)(3x - 2) -- Both terms have a common factor of (x + 7) so we can group them

x + 7 = 0 or 3x - 2 = 0 -- Use ZPP

x = -7 or x = 2/3 -- Solve

Answer:

8.1

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

Area of a rectangle = length × width

let w be the width and l be the length

Area of rectangle = 247 ft²

width is 6 feet less than its length is

w = l - 6

247 = l( 1 - 6)

l² - 6l - 247 = 0

(l + 13) (l - 19) = 0

l + 13 = 0 l - 19 = 0

l = - 13 l = 19

Since the length should be positive

The length of the rectangle is

Hope this helps you

Answer:

Length of the rectangle, L = 19 ft

Step-by-step explanation:

Area of a rectangle = Length * Width

Area of the rectangle, A = 247 ft²

Let the length of the rectangle be L

The width of the rectangle = W

Since the width of the rectangle is 6 ft less that the length;

W = L - 6

A = L * W

247 = L * (L - 6)

247 = L² - 6L

L² - 6L - 247 = 0

By solving the quadratic equation above:

(L - 19)(L + 13) = 0

L - 19 = 0, L = 19

L + 13 = 0; L = -13

Since the length of a rectangle cannot be negative, L = 19 ft

Answer:

The probability that a randomly selected group of four trees can be used as timber is 4.5 × 10⁻⁵

Step-by-step explanation:

The given parameters are;

Mean = 34 cm

The standard deviation = 8 cm

The mean

The Z score is [tex]Z=\dfrac{x-\mu }{\sigma }[/tex], which gives;

For x  = 30 we have;

[tex]Z=\dfrac{30-34 }{8 } = -0.5[/tex]

P(x>30) = 1 - 0.30854 = 0.69146

For x = 40, we have

[tex]Z=\dfrac{40-34 }{8 } = 0.75[/tex]

P(x < 40) = 0.77337

Therefore, the probability that the mean of four trees is between 30 and 40 is given as follows;

P(30 < x < 40) = 0.77337 - 0.69146 = 0.08191

The probability that a randomly selected group of four trees can be used as timber is given as follows;

Binomial distribution

[tex]P(X = 4) = \dbinom{4}{4} \left (0.08191\right )^{4}\left (1-0.08191 \right )^{0} = 4.5 \times 10^{-5}[/tex]

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

plz mark me as the Brainleist plz

Answer:

[tex]\boxed{15}[/tex]

Step-by-step explanation:

Set the output equal to 0.

[tex]-2x^2 +20x+150=0[/tex]

Factor left side of the equation.

[tex]-2(x+5)(x-15)=0[/tex]

Set factors equal to 0.

First possibility:

[tex]-2(x+5)=0\\x+5=0\\x=-5[/tex]

Second possibility:

[tex]x-15=0\\x=15[/tex]

The value or prize cannot be negative.

[tex]x\neq -5\\ x=15[/tex]

[tex]\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]

Answer:

  14

Step-by-step explanation:

The rectangle has side lengths of 3 and 4. There are two of each length, so the total length of all the sides is ...

  P = 2(l +w) = 2(4 +3) = 2(7)

  P = 14 . . . . units

Answer:

2

Step-by-step explanation:

2.5/5

Answer:

2.5 hours

Step-by-step explanation:

2.5 hours = work time

4boys+5boys working together same job.

Ans: 2.5 hours.

Answer: D

Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?

Answer:

Quota Sampling

Step-by-step explanation:

Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.

In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling.  These subgroups would give a proper representation of the preschool children in local daycare centers.

Answer: D) Construct the perpendicular bisectors for AB and AC.

The intersection of all three perpendicular bisectors will form the circumcenter, which is the center of the circumcircle. This circle goes through all three corner points of the triangle. At minimum, you only need two perpendicular bisectors to get the job done. Choice B is close, but is missing that second perpendicular bisector.

The angle bisectors intersect to form the incenter, which is the center of the incircle (it's the largest possible circle to fit inside the triangle without spilling over).

Answer:

D.  Construct the perpendicular of ab and ac

Step-by-step explanation:

Circumscribe a Circle on a Triangle

Construct the perpendicular bisector of one side of the triangle.

Construct the perpendicular bisector of another side.

Where they cross is the center of the Circumscribed circle.

Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle

Mark me as brainliest

Answer:

[tex]\boxed{u = 13.7}[/tex]

Step-by-step explanation:

Using cosine rule

[tex]c^2 = a^2+b^2-2ab\ CosC[/tex]

Here c = u, a = 9 , b = 21 and C = 28

[tex]u^2 = 9^2+21^2-2(9)(21)\ Cos 28\\u^2 = 81+441-(378)(0.88)\\u^2 = 522 - 333.75\\u^2 = 188.24[/tex]

Taking sqrt on both sides

u = 13.7

Answer:

u ≈ 13.7

Step-by-step explanation:

Using the Cosine rule in Δ STU, that is

u² = s² + t² - 2stcosU

Here s = 21, t = 9 and U = 28°, thus

u² = 21² + 9² - (2 × 21 × 9 × cos28°)

   = 441 + 81 - 378 cos28°

   = 522 - 378 cos28° ( take the square root of both sides )

u = [tex]\sqrt{522-378cos28}[/tex]

   ≈ 13.7 ( to the nearest tenth )

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

Explanation:

The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.

(angle 7) + (angle 8) = 180

(angle 7) + 124 = 180

angle 7 = 180 - 124

angle 7 = 56 degrees

Answer:

The measure of angle 7 is 56°.

Step-by-step explanation:

here, angle 8 = 124°

now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)

or, 124°+angle 7=180°

or, angle 7=180°-124°

Therefore, tge measure of angle 7 is 56°.

Hope it helps.

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

Answer:

The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

Step-by-step explanation:

Given:

56s=70t

s=t+1/2

Solution

56s=70t

s=t+1/2

Substitute s=t+1/2 into 56s=70t

56s=70t

56(t+1/2)=70t

56t+28=70t

28=70t - 56t

28=14t

Divide both sides by 14

28/14=14t/14

2=t

t=2

Recall,

s=t+1/2

s=2+1/2

=4+1/2

s=5/2

Or

s=2.5 hours

Answer:

[tex]x = 1.25[/tex]

[tex]y = 0[/tex]

Step-by-step explanation:

Given

[tex]4x - 5y = 5[/tex]

[tex]0.08x + 0.10y = 0.10[/tex]

Required

Determine the solution

Make x the subject of formula in: [tex]4x - 5y = 5[/tex]

[tex]4x = 5 + 5y[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{5 + 5y}{4}[/tex]

[tex]x = \frac{5 + 5y}{4}[/tex]

Substitute [tex]x = \frac{5 + 5y}{4}[/tex] in [tex]0.08x + 0.10y = 0.10[/tex]

[tex]0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10[/tex]

Solve the fraction

[tex]0.02(5 + 5y) + 0.10y = 0.10[/tex]

Open the bracket

[tex]0.1 + 0.1y + 0.10y = 0.10[/tex]

[tex]0.1 + 0.2y = 0.10[/tex]

Subtract 0.1 from both sides

[tex]0.1-0.1 + 0.2y = 0.10 - 0.1[/tex]

[tex]0.2y = 0[/tex]

Divide both sides by 0.2

[tex]y =0[/tex]

Substitute 0 for y in [tex]x = \frac{5 + 5y}{4}[/tex]

[tex]x = \frac{5 + 5*0}{4}[/tex]

[tex]x = \frac{5 + 0}{4}[/tex]

[tex]x = \frac{5 }{4}[/tex]

[tex]x = 1.25[/tex]

Answer:

[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x + 3[/tex]

[tex]x = -2[/tex]

Required

Determine the solution to the equations

From the second equation, we have the value of x already;

The next step is to substitute -2 for x in the first equation

[tex]y = \frac{2}{3}x + 3[/tex] becomes

[tex]y = \frac{2}{3}(-2) + 3[/tex]

[tex]y = \frac{-4}{3} + 3[/tex]

[tex]y = -\frac{4}{3} + 3[/tex]

Take LCM

[tex]y = \frac{-4 + 9}{3}[/tex]

[tex]y = \frac{5}{3}[/tex]

Hence,

[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]

Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Answer:

The completed table is

x | 0 | 6 | 12

y | 0 | 2 | 4

Step-by-step explanation:

It is given that y is (1/3) as large as x. That is,

y = (x/3)

x | 0 | 6 | 12

y | ? | ? | ?

y = (x/3)

When x = 0,

y = (0/3) = 0

when x = 6,

y = (6/3) = 2

when x = 12,

y = (12/3) = 4

The completed table is thus

x | 0 | 6 | 12

y | 0 | 2 | 4

Hope this Helps!!!

The values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.

Given,

y is 1/3 times as large as x.

So, [tex]x=3y[/tex].

We have to calculate the value of x when y is given .

1. when [tex]y=0[/tex]

Then, [tex]x=0[/tex]

2.when, [tex]y=6[/tex]

Then, [tex]x=18\\[/tex]

3. When [tex]y=12[/tex]

[tex]x=3\times 12\\x=36[/tex]

Hence, the values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.

For more details follow the link:

https://brainly.com/question/11897796

Answer:

18.18%

Step-by-step explanation:

Percent change formula:

(new amount - old amount)/(old amount) * 100%

new amount: 6500

old amount: 5500

percent change:

(6500 - 5500)/5500 * 100% = 18.18%

Answer:

18.18%

Step-by-step explanation:

1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11

=18.18%

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Area of square ground = 42025

Now, let's find the length of square ground

Area of square = [tex] = {l}^{2} [/tex]

plug the values

[tex]42025 = {l}^{2} [/tex]

Swipe the sides of the equation

[tex] {l}^{2} = 42025[/tex]

Squaring on both sides

[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]

Calculate

[tex]l = 205[/tex] meters

The length of square ground = 205 meters

Now,Let's find the perimeter of square

Perimeter of square [tex] = 4l[/tex]

plug the value of length

[tex] = 4 \times 205[/tex]

Multiply the numbers

[tex] = 820[/tex] meters

Hope I helped.

Best regards!!

Answer:

B - 5

Step-by-step explanation:

K: 60

M: 60 x 25%; 60 x .25 = 75

K: 1500/60 = 25

M: 1500/75 = 20

25-20=5

Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Answer:

68.26%

Step-by-step explanation:

The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:

[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]

From the normal distribution table, Area between z equal -1 and z equal 1  = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%

About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).

Answer:

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Step-by-step explanation:

Given

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

Required

Translate the above one unit to the left

Replace y with f(x)

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]

When an absolute function is translated to the left, the resulting function is

[tex]g(x) = f(x - h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x) = f(x - (-1))[/tex]

[tex]g(x) = f(x + 1)[/tex]

Calculating [tex]f(x+1)[/tex]

[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]

Open bracket

[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Recall that

[tex]g(x) = f(x + 1)[/tex]

Hence;

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Answer:

y=l1/2x-3/2l+3

Step-by-step explanation:

cause im him

Answer:

  False

Step-by-step explanation:

In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.

Answer:

a. 11/25

b. 11/25

Step-by-step explanation:

We proceed as follows;

From the question, we have the following information;

Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.

Now,

Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3

Then , P(A1 + P(A2) +P(A3) =1 ....(1)

And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)

Let P(A1) = x, then using equation (2)

P(A2) = 2x and P(A3) = 2x

(from the ratio given in the question)

Substituting these values in equation (1), we get

x+ 2x + 2x =1

Or 5x =1

Or x =1/5

So, P(A1) =x =1/5 , ....(3)

P(A2) = 2x= 2/5 and ....(4)

P(A3) = 2x= 2/5 ...(5)

Also urns A, B and C has total balls = 10, 20 , 20 respectively.

Now, if we choose one urn and then pick up 2 balls randomly then;

(a) Probability that the first ball is black

=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)

= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)

= (3/50) + (7/50) + (12/50)

=22/50

=11/25

(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.

Although the event picking of the second ball is dependent on the event of picking the first ball.

Hence, probability that the first ball is black given that the second ball is white is 11/25

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