In figure, if PQ = QR = 14cm, then find the length of the tangent RT.
gimme answer fastt pls​

In Figure, If PQ = QR = 14cm, Then Find The Length Of The Tangent RT.gimme Answer Fastt Pls

Answers

Answer 1

Step-by-step explanation:

When we observe the figure there are two semicircles , one of radius 14cm . And other will be of 14cm/2 = 7cm ( Since the 2nd semi circle is drawn taking radius of 1st semicircle as diameter.)

Now join T to the center of 2nd semi circle . Therefore , we have

[tex]\tt\to PR = 28cm \\\\\tt\to PQ + 14cm = 28cm \\\\\tt\to PM + MQ = 14cm \\\\\tt\to MQ = 14cm - 7cm \\\\\to\boxed{\orange{\tt MQ = 7cm }}[/tex]

Now , looking at the figure we know that radius is perpendicular to the tangent at point of contact . Here TR is tangent . Therefore ∆TRM is right angled triangle. Using Pythagoras Theorem we have,

[tex]\tt\to 21^2 = RT^2+7^2 \\\\\tt\to RT^2= 441 - 49 \\\\\tt\to RT =\sqrt{392}\\\\\tt\to\boxed{\orange{\tt RT = 19 .79 cm }}[/tex]


Related Questions

Nikki and her four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip. How much was the tip?

Answers

Answer:

$4.35

Step-by-step explanation:

Knowns:

Total bill: $29.00

Tip of 15% ($29.00)

Work:

$29.00 (0.15) = $4.35 tip

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Answer:

4a) [tex]\frac{2}{3}[/tex] · (5 + 7)

b) 3 ÷ (3/5)

c) ([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{2}[/tex]) ÷ 3

Step-by-step explanation:

A) What kinds of living things get their energy directly from the sun?
B) Where do consumers get their energy?

C) Why is sunlight important to animals that eat other animals?

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Answer: A)  Producers B) Consumers constitute the upper trophic levels. Unlike producers, they cannot make their own food. To get energy, they eat plants or other animals, while some eat both. c) Through the photosynthesis process, producers, such as grass, absorb the sun's light energy to produce food (stored sugar and starches). Consumers cannot make their own food, so they have to consume other organisms. The food of almost any kind of animal can be traced back to plants and the sun.

Step-by-step explanation:

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Answer:

11.7 square units

Step-by-step explanation:

Select the answer that describes the properties of a square.

Answers

Answer:

Two pairs of parallel sides

All sides congruent

Four right angles

Which images below are scalene triangles?

Triangle A has three sides each measuring 7 units. Triangle B has two sides that are equal in length, and the base is longer than the two sides. Triangle C has no sides of equal length. Triangle D has sides of length seven, three, and six.
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D

Answers

Answer:

Triangle C and D

Is your correct answer

Triangle A have 3 sides equal so it is equilateral triangle

Triangle B have 2 sides equal so it is isosceles triangle

Triangle C have no equal sides so it is scalene triangle

Triangle D have no equal sides so it is scalene triangle

Triangles C and D are scalene triangles.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle A has three sides each measuring 7 units.

Triangle B has two sides that are equal in length, and the base is longer than the two sides.

Triangle C has no sides of equal length.

Triangle D has sides of length seven, three, and six.

Now, We know that;

A scalene triangle have different sides.

Hence, Triangles C and D are scalene triangles.

Thus, We get;

Triangles C and D are scalene triangles.

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For a $150.000 mortgage with an interest rate of 5.5% paid over 20 years, the monthly payment is $1,031.83. After one
month, what is the balance of the loan?
Round your answer to the nearest dollar
Do NOT round until you calculate the final answer.

Answers

Answer: 149656

Step-by-step explanation:

The  balance of the loan is $148,968

Using this formula

Loan balance=Mortgage amount-Monthly payment

Where:

Mortgage amount=$150.000

Monthly payment=$1,031.83

Let plug in the formula

Loan balance=$150.000-$1,031.83

Loan balance=$148,968

Inconclusion The  balance of the loan is $148,968

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What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2

Answers

Answer:

C

Step-by-step explanation:

slope intercept is y=mx+b

The y-intercept is at 2 so b=2.

The slope is rise/run, equaling -3

so y= -3x+2

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Answer:

6 ft^2

Step-by-step explanation:

A=1/2 Base Height

A=1/2(3)(4)

A=6 ft^2

The Goliath Beetle weighs 100 grams. A ladybug weighs 0.02 grams. How many ladybugs weigh the same as one Goliath Beetle? (GIVING BRAINLIEST)​

Answers

Answer:

5,000

Step-by-step explanation:

I used a calculator:)

The numerator that makes the equation true

Answers

The numerator would be 9 because u multiply 3/4 by 3 to get the bottom number to 12 so multiplying 3x3=9

Find the are of the following figure

Answers

Answer/Step-by-step explanation:

1. Side of the square (s) = 35 mm

Area of square = s²

Area = 35² = 1,225 mm²

2. Length of rectangle (L) = 24 cm

Width = 18 cm

Area = L*W = 24*18 = 432 cm²

3. Diameter = 36 m

Radius = ½(36) = 18

Circumference of circle = πd = π*36 = 113.097336 ≈ 113.1 m

Area = πr² = π*18² = 1,017.87602 = 1,017.9 m²

4. Area of trapezoid = ½(a + b)*h

a = 9 cm

b = 15 cm

h = 18 cm

Area = ½(9 + 15)18

Area = 216 cm²

Algebra 1
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Problem:

-3√18 + 5√72 - √2

Answers

9514 1404 393

Answer:

  20√2

Step-by-step explanation:

It is helpful to know your multiplication facts. For simplifying the radicals, you remove the perfect squares:

  [tex]\sqrt{a^2\cdot b}=a\sqrt{b}[/tex]

__

  [tex]-3\sqrt{18}+5\sqrt{72}-\sqrt{2}=-3\sqrt{3^2\cdot2}+5\sqrt{6^2\cdot2}-\sqrt{2}\\\\=-3\cdot3\sqrt{2}+5\cdot6\sqrt{2}-\sqrt{2}=(-9+30-1)\sqrt{2}\\\\=\boxed{20\sqrt{2}}[/tex]

A group of neighborhood families are planning a trip to the museum

Answers

and when they got there they all got teleported back in time 66, 000, 000 years ago to the dinosaurs

Can someone help me with this answer I’m on a test and it’s almost due

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16.5 / p = 11 / 18

p = 16.5 × 18 / 11

p = ( 16.5 / 11 ) × 18

p = 1.5 × 18

p = 27

find the slope of the line that passes through the given points (7, 3) and (13, 8)​

Answers

Answer:

The slope is 5/8.

Step-by-step explanation:

Use the slope formula:

m = y2 - y1 / x2 - x1

Plug in the numbers from the ordered pairs:

m = 8 - 3 / 13 - 7

m = 5/8

1)
What are the
are the prime factors of 64

Answers

Answer:

they are 1,2

Step-by-step explanation:

1, 2,4,8,16, 32, 64

Answer: 1,2,4,8,16,32, 64

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Answers

Answer:

Step-by-step explanation:

c

A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.

Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?

Answers

Answer:

1.) t - distribution

2.) H0 : μ = 60000 ; H1 : μ > 60000

3.) P < α (Reject Null) ; P > α (fail to reject Null)

4.) Reject H0

Type 1 error

Step-by-step explanation:

Null hypothesis, H0 : μ = 60000

Alternative hypothesis, H1 : μ > 60000

Decison rule at 5% significance ;

P < α (Reject Null)

P > α (fail to reject Null)

Xbar = 72000 ; std = 9000

Test statistic :

(Xbar - μ) ÷ (std / sqrt(n))

(72000 - 60000) ÷ (9000 / sqrt(25))

12000 ÷ 1800

Test statistic = 6.667

Using the Pvalue calculator from test statistic :

Test statistic = 6.667 ; df = 24 - 1 = 24

Pvalue = 0.00001

Pvalue < α ; Hence, we reject the Null

Type 2 error : This means accepting a Null hypothesis that should be rejected.

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Answers

The median of the set of data with values 10,12,15,16,18,20 is 15.5.

What is the median?

The median is one of the measures of central tendency.

The median is the middle value of a data set.

When the data set is even, the median is found by adding the two middle values and dividing by 2.

Data and Calculations:

10,12,15,16,18,20

Total value = 91

Median = 15.5 (15 + 16)/2

Thus, the median of the set of data with values 10,12,15,16,18,20 is 15.5.

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simplify the equation 3/5x +x

Answers

Answer:

8x/5

Step-by-step explanation:

The answer to the question is 8x/5

Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and Upper value (in inches) centered around the process mean. The process that produces the piece yields a mean of 25 and a standard deviation of 0.6 inches. The distribution of output is normal. Within what values will 94.87 percent of sample means fall, if samples of n

Answers

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 <  μ  < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 /  / [tex]\sqrt{10}[/tex] )

   = 0.370

therefore at  94.87% confidence interval the estimated population mean is

x - 0.370 < μ <  x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 <  μ  < 25.370

A freelancer, who specializes in digital marketing, is interested in the average amount of money small businesses spend on pay per click advertising. In previous years, less than 3300 dollars, on average, is spent on pay per click annually. The digital marketing freelancer suspects this average has increased in recent years. If the digital marketing freelancer chooses to use the rejection region approach for their hypothesis test, what do they need to calculate in order to compare with the critical value

Answers

Answer:

Test statistics

Step-by-step explanation:

A test statistic is calculated to compare with the critical value approach. The critical value is found by choosing any value of significance level ∝ = 0.05, 0.1 or 0.01  . Mostly 5% is preffered .

The the calculated value of the test statistic is compared with the chosen value rejection region that whether it falls in the critical region or not.

The test statistic is applied on the conditions given. For example comapring many results can be done by using chi square or  comparing two means can be done by t test or testing the variation can be done by F - test.

In the given problem a z test would be used.

Which temperature is warmer: -3 or -4 degrees Celsius?

Answers

Answer:

-3

Step-by-step explanation:

a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals​

Answers

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

Please help! (14 points!)

1.) Which of the following is a tangent?
a. PV
b. US
c. RT
d. PQ

2.) Which of the following is a chord?
a. PV
b. US
c. RT
d. PQ

3.) Which of the following is in inscribed angle?
a. PVU
b. UST
c. QUS
d. USR

Answers

Answer:

1. RT  2. US  3. QUS

Step-by-step explanation:

The following is in the tangent, chord and inscribed angle is 1. RT  2. US  3. QUS.

We have given that the diagram

We have to determine

What of the following is a tangent?

The tangent line (or simply tangent) to a plane curve at a given point is the straight line that just touches the curve at that point.

The tangent is RT.

and the chord is US.

The following is in inscribed angle is QUS.

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What is the measure of ZP, to the
nearest degree?
O 44°
O 46°
0 58°
0 72°

Answers

Answer:

44

Step-by-step explanation:

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5x+4y=12. 3x + 6y=8. Help me plaeaee

Answers

Answer:

x = - 20 / 3, y = 14 / 3

Step-by-step explanation:

In the picture

Gas at station M costs $1.58 per gallon. Gas at station costs $1.63 per gallon. How much money will Jordan save the buys 15 gallions of
gas at station M rather than at station ?
A $0.05
B$0.75
OC. $23.70
D. $24.45

Answers

Answer:

B.$0.75

Step-by-step explanation:

I think that's the answer hope it helps you.

Given a polynomial that has zeros of −5, 4i, and −4i and has a value of 40 when x=3 write the polynomial equation

Answers

Answer:

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −5, 4i, and −4i

This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So

[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]

[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]

[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]

Since [tex]i^2 = -1[/tex]

[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]

[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]

Has a value of 40 when x=3

We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So

[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]

[tex]200a = 40[/tex]

[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]

So

[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]

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