In ΔPQR, the measure of ∠R=90°, the measure of ∠P=53°, and QR = 17 feet. Find the length of PQ to the nearest tenth of a foot.

Answer:

y = 2

Step-by-step explanation:

Given

y = x² + 2x + 3 ← substitute x = - 1

y = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

Answer: a parallelogram

Answer:

6 is the answer for your box :) Double checked :)

Step-by-step explanation:

25.12 = 1/3(12.56h)

multiply both sides by 3 to get rid of the fraction

75.36 = 12.56h

divide both sides by 12.56

6 = h

h = 6

Answer:

h = 6

Step-by-step explanation:

25.12=12.56/3 h

25.12 x (3/12.56) = h

h = 6

Answer:

x^2 - 5x - 6  =  (x - 2)(x - 3).

Step-by-step explanation:

f(x) = x^2 - 5x - 6

We need 2 numbers whose product is - 6 and whose sum is -5. They are   -3 and -2:

The factors are x- 2  and x - 3.

Answer:

x-6  

Step-by-step explanation:

Answer:

18 : 26

Step-by-step explanation:

It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26

Answer:

Five less than the number than....... 8/n - 5 +7

Eight more than the product........ 8 +7n - 2

Five times the sum..... 5(n+7)

Twice the difference.... 2 (8-n)

Answer:

Blue:

[tex] \frac{8}{n} - 5 + 7[/tex]

Green:

[tex]8 + 7n - 2[/tex]

Orange:

[tex]5(n + 7)[/tex]

Purple:

[tex]2(8 - n)[/tex]

Answer:

correct

Step-by-step explanation:

maybe

Answer:

The "middle triangle"

50+85+n=180

n+135=180

n=45

The "left side triangle"

x+68+45=180

x=67

The "right-side triangle"

50+74+z=180

124+z=180

z=56

y=180-56

y=124

Let me know if this helps!

Answer:

392

Step-by-step explanation:

Answer:

Final answer:  x=0 m:3 and x=-6 m:2

Step-by-step explanation:

1. 4x³(x²+12x+36)- Divide by greatest common factor, to simplify.

2. 4x³(x+6)(x+6)- Factored

3. 4x³ = 0   Set each factor equal to zero

4. x+6=0       x+6=0

So, x= -6, two times, mulitiplicity 2

So, 4x³=0, so x=0 three times, mulitiplicity 3

Final answer:  x=0 m:3 and x=-6 m:2

Answer:

[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]

Step-by-step explanation:

Given

[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question

Required

The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]

[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]

Expand the numerator

[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]

Factorize

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

Factor out x + 1

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

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

[tex]x -> -2^{-}[/tex] Say x = -3

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

[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

[tex]x->-2^{-}, p(x)->-\infty[/tex]

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: [tex]x>-2[/tex]

Say x = -2.1

[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

[tex]x->-2^{+}, p(x)->-\infty[/tex]

So, the behavior is:

[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]

Answer:

The answer is b

Step-by-step explanation:

The formula for the surface area of rectangular prisms is

A=2(wl+hl+hw)

Now input the length width and hight into the right spots

=2*(2*6.6+3.3*6.6+3.3*2)

And you will end up with the answer

=83.16

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Answer:

Your answer is 27

I hope I helped, would appreciate brainliest! ;)

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

27% = 27 'out of one hundred',

p% is read p 'percent',

27% = 27/100 = 27 ÷ 100

Calculate percentage:

'Percentage' is obtained by multiplying 100 by 27%

27% of 100 is equivalent to multiplying them:

27% × 100 = ?

27% × 100 =

(27 ÷ 100) × 100 =

(27 × 100) ÷ 100 =

2,700 ÷ 100 =

27

Proof.

How do we check the result?

If 27% × 100 = 27 =>

Divide 27 by 100...

... And see if we get as a result: 27%

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

n/100 = n%, any number.

Calculate the percent value:

27 ÷ 100 =

0.27 =

0.27 × 100/100 =

(0.27 × 100)/100 =

27/100 =

27%

So we have proved that the calculations are correct.

Answer:

Percentage of

27% of 100 = 27

Answer:

27%

Convert fraction (ratio) 27 / 100 Answer: 27%

Answer:

the awnser is 10 and 1/x+ 1/y is = 5/12

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

Answer:

is the 23% going into the 42.5

Answer:

10.6 i think

Step-by-step explanation:

i think it's 10.6 because 18.9-8.3=10.6

Answer:

The midsegment is 13.6

Step-by-step explanation:

To calculate the mid segment, find the average of the two bases.

[tex]\frac{8.3+18.9}{2} =\frac{68}{5}=13.6[/tex]

Answer:

41.2 inches tall

Step-by-step explanation:

53.56 / 1.3 = 41.2

Step-by-step explanation:

Let Raj's sister's height be x

53.56= 1.3x

= 53.56/1.3=x

= 41.2=x

Answer: Not 100% sure but I think it is p=7

Answer:

8+8p

Step-by-step explanation:

you use distributive property! Multiply 8 by 1 and 8 by p and add it!

(1+p)8

8+8p

Answer:

A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?

Step-by-step explanation:

h = -16t^2 + 80   Stick hits the ground when h = 0:

0 = -16t^2 + 80    

16t^2 = 80

t^2 = 80/16 = 5

t = POSITIVE root 5 (due to the real world nature of the problem)

t approximately 2.236 seconds.

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

Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)

Symmetric about h-axis, though I would only graph on the right side of the h-axis since  

that is where t >= 0.

Answer:

1 ) 140

2) 60

Step-by-step explanation:

1. It touches the y intercept at 140 and 0 in the x axis so 140

NOTE : THE NUMBER THE TOUCHES THE Y INTERCCEPT IS ALWAYS THE ANSWER/ IT GOES DOWN 3 ACROSS 3 SO IT AND U WILL SEE IF IT TOUCHES THE Y INTERCEPT IT WILL BE 140

2. it goes from 140 to 200 just subtract them to get how much she gets

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

C. [tex]\sqrt{3x^2+21x}[/tex]

Step-by-step explanation:

When one multiplies two radicles, one multiplies each term in the radical by the term in the other radical, then one simplifies the result and puts the radical sign over the result. If there are any perfect squares one will take the terms out. In this scenario, such is not the case.

[tex]\sqrt{3x}*\sqrt{x+7}\\\\\sqrt{3x(x+7)}\\\\\sqrt{3x^2+21x}[/tex]

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

Learn more about circle here:

brainly.com/question/11833983

Answer:

The answer is below

Step-by-step explanation:

Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.

1) AB = DC, BE = CE     (given)

2) ∠AEB≅∠DEC  (vertical angles are congruent)

3) ΔABE ≅ ΔACE (side angle side congruence theorem)

If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.

Answer:

D) The very last one

Step-by-step explanation:

n + 6 < 4

n < -2

< means it's an open circle and goes in the LEFT direction

Answer:

Step-by-step explanation:

The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.

The prime factorization of 200 will be equal to 2 × 2 × 2 ×  5 × 5 or 2³ × 5².

It is given that a number is 200.

We have to find out the prime factorization of 200.

What do you mean by prime factorization ?

Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.

As per the question ;

The given number is 200.

We have to find the prime factors of 200.

This meant to find out the prime numbers we should multiply together to make the original number which is 200.

So ;

200

= 2 × 100

= 2 × 2 × 50

= 2 × 2 × 5 × 10

= 2 × 2 × 2 ×  5 × 5

or

= 2³ × 5²

Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 ×  5 × 5 or 2³ × 5².

To learn more about prime factorization click here ;

https://brainly.com/question/1081523

#SPJ2

Answer:

Use symbolab

Step-by-step explanation: