Find the area of square that can be inscribed in circle of radius 8cm

Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.  

[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]

Similarly:

[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]

For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]

For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]

For point 3:[tex]\to BE=KR=157[/tex]

For point 4:[tex]\to Kf=BR=130[/tex]

For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]

Given that ΔKER and ΔBRE are congruent triangles, therefore:

1. How far KFC is from RCBC = KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 70°

Congruent triangles have corresponding parts hat are congruent to each other.

Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:

KR = BE

4x - 15 =  3x + 28

4x - 3x = 15 + 28

x = 43

KE = BR

3y + 5 = 2y + 50

3y - 2y = -5 + 50

y = 45

Thus:

1. How far KFC is from RCBC = KR

KR = 4x - 15

Plug in the value of x

KR = 4(43) - 15

KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR

BR = 2y + 50

Plug in the value of y

BR = 2(45) + 50

BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 180 - (92 + 18) = 70°

Learn more about congruent triangles on:

https://brainly.com/question/2938476

Answer:

A) 48

Step-by-step explanation:

Given:

b = 16

c = 20

Pythagorean thm:

a² + b² = c²

a² + 16² = 20²

a² + 256 = 400

a² = 144

a = 12

To find perimeter:

P = a + b + c

P = 12 + 16 + 20

P = 48

Answer:

1. 8 + t

2. g/15

3. 5b

4. 32 - x

Step-by-step explanation:

1. the sum of 8 and t

8 + t

2. the quotient of g and 15

g/15

3. the product of 5 and b

5b

4. the difference of 32 and x

32 - x

Answer:

2.    4.88 feet

Step-by-step explanation:

cos∅ = adj/hyp

cos71 = adj/15

adj = 15*cos71

adj = 4.88

Answer:

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean and standard deviation of 486.9 and 24.01, respectively.

This means that [tex]\mu = 486.9, \sigma = 24.01[/tex]

What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk?

This is the p-value of Z when X = 525 subtracted by the p-value of Z when X = 477.

X = 525

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{525 - 486.9}{24.01}[/tex]

[tex]Z = 1.59[/tex]

[tex]Z = 1.59[/tex] has a p-value of 0.9441

X = 477

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{477 - 486.9}{24.01}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a p-value of 0.3409

0.9441 - 0.3409 = 0.6032

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Answer:

V = 30 cubic inches

Step-by-step explanation:

Given:

height (h) = 10 in.

Base area (B) = 9 in.²

Required:

Volume of the pyramid

Solution:

Formula for finding volume of triangular pyramid = ⅓(B)(h)

Plug in the values

V = ⅓(9)(10)

V = (3)(10)

V = 30 cubic inches

Answer:

The total earned money over the 5 year period=$14,000

Step-by-step explanation:

We are given that

Principle amount, P=$10000

Rate of interest, r=8%

Time, t=5 years

We have to find the total earned money over the 5 year period.

We know that

Simple interest=[tex]\frac{P\times r\times t}{100}[/tex]

Using the formula

S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]

S.I=$4000

Now,

Amount=P+S.I

Amount=10000+4000

Amount=$14000

Hence, the total earned money over the 5 year period=$14000

Answer:

–1

Step-by-step explanation:

We want to find the following limit:

[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5[/tex]

Since the function does not have any discontinuity(point in which the denominator is 0, for example), we just replace the values of x by -2. So

[tex]\lim_{x \rightarrow -2} x^3 + 3x^2 - 5 = (-2)^3 + 3(-2)^2 - 5 = -8 + 12 - 5 = -13 + 12 = -1[/tex]

The value of the limit is -1.

Answer:

Step-by-step explanation:

D. -1

Answer:

x=1, y=2

Step-by-step explanation:

Answer:

I diminished the amount that

Step-by-step explanation:

Answer:

Yes I would

Step-by-step explanation:

You would not have enough test subjects to have an accurate survey.

Answer:

120 degrees

Step-by-step explanation:

plugged into calculator

cos inverse of -1/2

Please mark Brainliest if you feel like it:)

Answer:

It must be number 2.

1 and 3 number is wrong as parallelogram don't need have right angle

Answer:

[tex]x = \sqrt{32}[/tex]

Step-by-step explanation:

[tex]\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}[/tex]

Answer:

(3,-1)

Step-by-step explanation:

f(x)=(x2 - 6x)+8

f(x) = (x2 - 6x +9) + 8 - 9

f(x) = (x2 - 6x + 9) - 1

f(x) = (x - 3)^2 - 1

Since the completing square formula = a(x - h) + k

The vertex = (h,k)

= (3,-1)

Answer:

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Given the following data;

Present value, P = $300

Interest rate, r = 8%

Number of times, n = 1/4

Note: Future value = 2 * P = 2*300 = $600

Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.

To find how long she would have to invest her money in order to double it, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Answer:

[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1356.48 \: {cm}^{3} [/tex]

Answer:

is that 3x or mutiply sign

Answer:

3x^2-4x+1

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

2x = 4x - 40 (recall properties of a parallelogram)

Solve for x

2x - 4x = 4x - 40 - 4x (subtraction property of equality)

-2x = -40

-2x/-2 = -40/-2 (division property of equality)

x = 20

Answer:

WVAD

Step-by-step explanation:

wdvvvvavdv

Answer:

-3

Step-by-step explanation:

To get the slope of the line tangent to the function y = 6 - 3x

First, we need to differentiate;

dy/dx = 0 -3x^{1-1}

dy/dx = 0 - 3x^0

dy/dx = 0 - 3

dy/dx = -3

Hence the slope of the line tangent to the function at the point is -3

Answer: the answer is the third one

Step-by-step explanation:

well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3

Answer:mean

Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean

Answer:

19%

Step-by-step explanation:

Answer:

-2.00

Step-by-step explanation:

Applying,

Z = (x-μ)/σ.................. Equation 1

Where Z =  Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.

From the question,

Given: x = 48, μ = 70, σ = 11

Substitute these values into equation 1

Z = (48-70)/11

Z = -22/11

Z = -2.00

Hence Michelle's z-score is -2.00

Answer:

4

Step-by-step explanation: