In figure, if PQ = QR = 14cm, then find the length of the tangent RT.
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Answer: 2

Step-by-step explanation:

2+2+1+3=8/4=2

Answer:

The correct answer is C: 700 cm³

Step-by-step explanation:

V = l × w × h

V = 7 × 5 × 20

V = 7 × 100

V = 700

Answer:

142

Step-by-step explanation:

hope this help love y all!

Answer:

12

Step-by-step explanation:

Distance from (-4,1)to (-1,1) =|-4|-|-1|=3

Side of square =3

Since each side of square is equal.

3x4=12

If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then  perimeter of the square ABCD is 12 units.

The length along a line or line segment between two points on the line or line segment.

The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.

The coordinates of C are (-4, -2) since it is directly below B.

The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.

The coordinates of D are (-1, -2) since it is directly to the right of C.

Now we have the coordinates of all four vertices

A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).

To find the perimeter, we add up the lengths of all four sides:

AB = BC = CD = AD

= √[(xB - xA)² + (yB - yA)²]

= √[(-4 - (-1))² + (1 - 1)²]

= 3

So the perimeter is P = AB + BC + CD + AD

= 3 + 3 + 5 + 3

= 14

Therefore, the perimeter of the square ABCD is 12 units.

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Answer:

Following are the solution to these question:

Step-by-step explanation:

Following are the binomial distribution with parameters:

[tex]n = 12\\\\p = 0.24[/tex]

For point a:

[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]

For point b:

[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]

For point c:

[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

Answer:

c,e,f,

Step-by-step explanation:

The answer for this question is C, E and F .

Given that the length is 3 times the width. So firstly, you have to find the expression of length :

Let width = w,

Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :

Let length = 3w

Let width = w,

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Answer:1828

Step-by-step explanation:

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

Exact answer: 165.5754

Rounded to the nearest dollar: 166

Answer:

A,M,V

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

Answer:

864√3

Step-by-step explanation:

(3√3·24²)/2

1728√3/2

864√3

1496.49189773

9514 1404 393

Answer:

  864√3 in²

Step-by-step explanation:

We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.

  A = (3/2)√3(24 in)² = 3/2×576×√3 in²

  A = 864√3 in²

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Answer:

x=[tex]\frac{1}{2}[/tex] ft

Step-by-step explanation:

Please see the attached image

(5+2x)(3+2x)=24 - solve for x

15+10x+6x+4x^2=24

4x^2+16x+15=24

4x^2+16x-9=0

Use quadratic formula

[tex]x=\frac{1}{2} , x=-\frac{9}{2}[/tex]

x cannot be negative, so we can rule [tex]-\frac{9}{2}[/tex] out.

x=[tex]\frac{1}{2}[/tex] ft.

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

Answer:

Can you picture the question?

Answer:

There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .

Answer:

[tex] - 2 + 1 \\ = - 1[/tex]

Assuming this is what you asked since your question is not clear.

It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.

It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.

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Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

Point W

Step-by-step explanation:

Answer:

k=29

Step-by-step explanation:

we know that

-------> by supplementary angles

Solve for k

Combine like terms in the left side

Substract  both sides

Divide by  both sides

therefore

the answer is the option

B