Find the length of the hypotenuse of QPO

Find The Length Of The Hypotenuse Of QPO

Answers

Answer 1

Answer:

The answer is option D

Step-by-step explanation:

To find the length of the hypotenuse of QPO we must first find the value of x

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

QO² = QP² + OP²

That's

( x + 6)² = 5² + ( x + 5)²

x² + 12x + 36 = 25 + x² + 10x + 25

Group like terms

x² - x² + 12x - 10x = 50 - 36

2x = 14

Divide both sides by 2

x = 7

The hypotenuse of QPO is (x + 6)

Substitute the value of x into the expression

That's

7 + 6

= 13

Hope this helps you

Answer 2

Answer:

[tex]\Huge \boxed{\mathrm{D.} \ 13}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use Pythagorean theorem to solve for the value of x.

[tex]OP^2 +PQ^2 =OQ^2[/tex]

[tex](x+5)^2 +5^2 =(x+6)^2[/tex]

Simplifying both sides.

[tex]x^2 +10x+50=x^2 +12x+36[/tex]

Subtracting x², 10x and 36 from both sides.

[tex]14=2x[/tex]

Dividing both sides by 2.

[tex]7=x[/tex]

Letting x = 7 for the length of the hypotenuse.

[tex]\Longrightarrow \ 7+6 \\\\\\ \Longrightarrow \ 13[/tex]

[tex]\rule[225]{225}{2}[/tex]


Related Questions

flx) = 1
g(x) = x-4
Can you evaluate (g o (0)? Explain why or why
not.

Answers

No because it is a -4


An object in geometry with no width, length or height is a(n):
A. ray
B. line
c. point
D. angle

Answers

Answer:

the object with no width , lenght or height is s point

Answer:

point

Step-by-step explanation:

a ray has a length

the line also had a length

a point is just a dot

and angle has length and height.

I hope this helps!!!

y = wx ± zx, solve for x

Answers

Answer: x = y/w+z

Step-by-step explanation:

M is the midpoint of ST. S(-8, 9) and M(-10, 14). Find the coordinates of the other endpoint, T.​

Answers

Answer:

  T = (-12, 19)

Step-by-step explanation:

We know that the definition of the midpoint is ...

  M = (S + T)/2

Solving for T gives ...

  T = 2M -S

  T = 2(-10, 14) -(-8, 9) = (-20+8, 28-9)

  T = (-12, 19)

7/60=5/24w+11/12 please help!!!!

Answers

Answer:

Step-by-step explanation:

w  = -3 and 21/25

The value of w in 7/60=5/24w+11/12 is 6/5.

Given,

7/60 = 5/24 w + 11/12

We need to solve for w.

How do we solve an equation?

It depends on the type of equation given.

We need to keep the variable that we are solving for in one side and simplify the other terms.

Find the value of w.

We have,

7/60 = 5/24 w + 11/12

Subtract 11/12 on both sides.

7/60 - 11/12 = 5/24 w + 11/12 - 11/12

7/6 - 11/12 = 5/24 w

Simplify the left-hand side into a fraction.

(14 - 11 ) / 12 = 5 / 24 w

3 / 12 = 5 / 24 w

Multiply 24 / 5 on both sides.

24/5 x 3/12 = 24/5 x 5/24 w

6 / 5 = w

w = 6 / 5

Thus the value of w in 7/60=5/24w+11/12  is 6/5.

Learn more about how to solve for a variable in a given equation here:

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there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have

Answers

Answer:

[tex] x = \frac{300}{b} [/tex]

Step-by-step explanation:

We are given that, "b" number of buildings has 300 windows.

Let b represent the number of buildings.

Let x represent the number of windows per building.

Thus, the following equation can be used to expressed the number of windows for b buildings:

Number of buildings*number of windows per building = 300 windows

[tex] x*b = 300 [/tex]

The number of windows each building has would be:

[tex] \frac{x*b}{b} = \frac{300}{b} [/tex]

[tex] x = \frac{300}{b} [/tex] windows per building

please help i don’t know how to do this

Answers

Answer: A

Step-by-step

Can someone help with this I don’t understand

Answers

Answer: see below

Step-by-step explanation:

3x-12=7x+8 ⇔ given

   -12=4x+8 ⇔ addition property of equality

   -20=4x ⇔ subtraction property of equality

      x=-5 ⇔ division property of equality

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

5(x-1)=4x+13 ⇔ given

5x-5=4x+13 ⇔ distributive property

 x-5=13 ⇔ subtraction property of equality

    x=18 ⇔ addition property of equality

Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)

Answers

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

[tex] 5x + 2 = 7x - 6 [/tex]

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

[tex] 5x - 7x = - 2 - 6 [/tex]

[tex] -2x = -8 [/tex]

Divide both sides by -2

[tex] x = 4 [/tex]

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

Please help ASAP! Thank you<3

Answers

Answer: I believe its 2

Step-by-step explanation:

Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.

hope this helps

Answer: 2

Explanation:

(4^2/2 + 6)/4 + 3
= (16/2 + 6)/7
= (8 + 6)/7
= 14/7
= 2

Therefore, the answer is 2

which are composite numbers?
49
35
32
41
47​

Answers

Answer:

49, 35 and 32 are composite and the rest are orime numbers

Answer:

[tex] \boxed{ \bold{ \huge{\boxed {\sf{49 \: ,  \: 35 \: ,  \: 32}}}}}[/tex]

Step-by-step explanation:

Composite numbers are whole numbers that can be divided by numbers other than itself and 1.

Among 49 , 35 , 32 , 41 and 47,

: 49 , 35 and 32 are composite numbers.

49 is a composite number as it comes in the multiplication table of 1 , 7 and 49 . So, this means it comes in the table of more than 2 numbers.

35 is a composite number as it comes in the multiplication table of 1 , 5 , 7 and 35.

32 is a composite number as it comes in the multiplication table of 1 , 2 , 4 and 16.

41 is not a composite but a prime number as it comes in the multiplication table of only 1 and 41 [ 1 and itself ]

47 is not a composite but a prime number as it comes in the multiplication table of only 1 and 47 [ 1 and itself ]

Hope I helped!

Best regards!!

The U.S department of Agriculture reported that 45 out of every 115 milk drinkers drink skim milk. If a store owner orders 23 gallons of milk, how many should be skim

Answers

Answer:

8.99999999998

Step-by-step explanation:

45:115::_:23

The ratio between 45 and 115 is 2.55555555556 so 23 divied by that is 8.99999999998

What is (-3/4)x(7/8)

Answers

-0.65625 or -21/32 should be your answer just cross multiply

If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5, what is f-1(8).

Answers

Answer: 3/2

Step-by-step explanation:

write slope-intercept form of the equation of the line described.
through(5,4), parallel to y=(1/5)x-5​

Answers

Answer:

y = 1/5x + 3

Step-by-step explanation:

parallel lines have the same slope

y = 1/5x + b

4 = 1/5(5) + b

4 = 1 + b

b = 3

y = 1/5x + 3

urgio wants to buy gifts for 8 friends. he wants to gie the same gife to all his friends and he plans to have all the gifts wrapped in additional charge for 1.50 dollars each. if sergio spends at least 70 dollars he will recieve free shipping on his order. write and inequality to determine how much sergio needs to spend on each gift to order to receive free shipping​

Answers

[tex]7.25 \leqslant x[/tex]

Step-by-step explanation:

you do 1.5×8 to see how much shipping cost

you get 12 then subtract 12 from 70 and you get 58, then you do 58÷8 and you get $7.25

so he needs to spend $7.25 or more on each friend. (im pretty sure)

The amount urgio needs to spend on each gift in order to receive free shipping is 7.25.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that urgio wants to buy gifts for 8 friends. he wants to gie the same gife to all his friends and he plans to have all the gifts wrapped in additional charge for 1.50 dollars each.

Let the cost of each gift = c

urgio is buying gifts for 8 friends = 8 gifts

Hence, the Inequality equation is written as:

(c + $1.50)× 8 ≥ $70

8c + 12 ≥ 70

8c ≥70 - 12

c ≥ 58/8

c≥ 7.25

Therefore, the amount urgio needs to spend on each gift in order to receive free shipping is 7.25

Learn more about inequality ;

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4. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 5. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)

Answers

Answer:

See below.

Step-by-step explanation:

4)

So we have the function:

[tex]g(y)=7-6y[/tex]

And we want to find:

[tex]g(s+1)[/tex]

So, substitute y for (s+1):

[tex]g(y)=7-6y\\g(s+1)=7-6(s+1)\\[/tex]

Distribute:

[tex]g(s+1)=7-6s-6[/tex]

Subtract:

[tex]g(s+1)=-6s+1[/tex]

5)

So we have the function:

[tex]h(t)=t^2-2t[/tex]

And we want to find:

[tex]h(x-3)[/tex]

So, substitute t for (x-3):

[tex]h(t)=t^2-2t\\h(x-3)=(x-3)^2-2(x-3)[/tex]

Square and distribute:

[tex]h(x-3)=(x^2-6x+9)+(-2x+6)[/tex]

Combine like terms:

[tex]h(x-3)=(x^2)+(-6x-2x)+(9+6)[/tex]

Add:

[tex]h(x-3)=x^2-8x+15[/tex]

And those are our answers :)

Express 81 as the sum of first nine consecutive odd numbers

Answers

Answer:

see explanation

Step-by-step explanation:

The sum of the first 9 consecutive odd numbers is

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

Answer: 1+3+5+7+9+11+13+15+17=81  

Step-by-step explanation:

The sum of the first 9 consecutive odd numbers is

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

For the equation: -1 -5(4+6x) = 5(1 - 6x) – 26, what is the value of x?

Answers

HEY MATE HERE IS YOUR ANSWER.

PLEASE MARK ME AS A BRAINLIEST......

En un supermercado tienen dos contadores eléctricos de flujo de personas 1 registra de 3 en 3 y el otro de 5 en 5 en el momento que ambos se detienen unos señala de 840 y el otro de 560 diga Cuál de los dos es el que marca de 3 en 3?

Answers

Answer:

El contador que señala 840 registra de 3 en 3.

Step-by-step explanation:

Existe un truco para determinar si un número es múltiplo de 3, si la suma de sus dígitos es 3 o uno de sus múltiplos, entonces el número es un múltiplo de 3. En consecuencia, corresponde al contador eléctrico que registra de 3 en 3 y el otro contador eléctrico sería el que registra de 5 en 5.

Primer contador: 840

[tex]x = 8+4+0[/tex]

[tex]x = 12[/tex]

12 es un múltiplo de 3, por tanto, este contador es el que registra de 3 en 3.

Segundo contador: 560

[tex]x = 5+6+0[/tex]

[tex]x = 11[/tex]

11 no es un múltiplo de 3. Asimismo, todo número que sea múltiplo de 5 termina en 5 o 0, entonces este contador es el que registra de 5 en 5.

El contador que señala 840 registra de 3 en 3.

simplify -16 + 9 - (-2) + (-5)

A. 0
B. -10
C. -14
D. -28

Answers

Answer:

B. -10

Step-by-step explanation:

[tex]-16 + 9 - (-2) + (-5)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-16+9=-7\\\\=-7-\left(-2\right)+\left(-5\right)\\\\=-7+2+\left(-5\right)\\\\-7+2=-5\\\\=-5+\left(-5\right)\\\\=-10[/tex]

Answer:

B. - 10

Step-by-step explanation:

Hi there !

-16 + 9 - (-2) + (-5) =

- (-) = +

+ (-) = -

= - 16 + 9 + 2 - 5

= - 10

Good luck !

What is 1,872.072 rounded to the nearest hundredth?

Answers

Answer:

1872.07

Step-by-step explanation:

2 rounds down so... 0.07

1872.07

I have no idea how I’m supposed to do this.

Answers

hahaha yeah I know you me doing and that you have

6 more than the product of 5 and a number.

Answers

Answer:

6+ 5n

Step-by-step explanation:

Answer:

My answer to the question is 6>5n.

What would be the fourth and fifth figures? How many dots will be in the 100th figure?

Answers

Answer:

4th=8 dots

5th=10 dots

100th=200 dots

Step-by-step explanation:

Since you’re adding two dots each time, it will always bed double the figure number.

4th=8 dots

5th=10 dots

100th=200 dots

Answer:

The fourth figure is 8 Dots

The fifth figure is 10 Dots

The hundredth figure will be 200 Dots

Step-by-step explanation:

The figure dots increase by two so we multiply the dot number by the amount of increase

which means

The Fourth figure have 4 dots so 4 × 2=8

The Fifth figure have 5 dots so 5 × 2 =10

The hundredth figure have 100 dots so 100 × 2 =200

Hope u like it ‍❤️‍

comment me for any question

Is 1+4(3x-10)-12x equivalent to -39

Answers

Answer:

No solution-40 =38

Step-by-step explanation:

[tex]1+4\left(3x-10\right)-12x=39\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+4\left(3x-10\right)-12x-1=39-1\\\\Simplify\\4\left(3x-10\right)-12x=38\\\\\mathrm{Expand\:}4\left(3x-10\right)-12x:\quad -40\\-40 =38\\\\The \:sides\: are\: not\: equal \:so\\\mathrm{No\:Solution}[/tex]

A wildlife habitat houses 41 animals. There are three more reptiles than mammals in the habitat. There are seven fewer amphibians than mammals in the habitat. How many amphibians are there in the habitat?

Answers

Answer: 8

Step-by-step explanation:

Let mammals be represented by y

There are three more reptiles than mammals in the habitat. Therefore, Reptiles = y + 3

There are seven fewer amphibians than mammals in the habitat. Therefore, amphibian = y - 7

y + y + 3 + y - 7 = 41

3y - 4 = 41

3y = 41 + 4

3y = 45

y = 45/3

y = 15

Since amphibian = y - 7

= 15 - 7

= 8

There are 8 amphibians

Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour

Answers

Answer:

13½ kilometers

Step-by-step explanation:

If Nina runs 4½ km in ⅓ of an hour, at this pace, the number of km she'd run in an hour can be calculated as follows.

Let x be the number of km to run in an hour.

4½km => ⅓ hr

x km => 1 hr

Cross multiply

[tex] 1*4\frac{1}{2} = \frac{1}{3}*x [/tex]

[tex] 4\frac{1}{2} = \frac{x}{3} [/tex]

Multiply both sides by 3

[tex] 4\frac{1}{2}*3 = \frac{x}{3}*3  [/tex]

[tex] \frac{9}{2}*3 = x  [/tex]

[tex] \frac{27}{2} = x [/tex]

[tex] 13\frac{1}{2} = x [/tex]

x = number of km Nina runs in 1 hour = 13½ kilometers

Stuck on this 6/9 times 3

Answers

Answer:

2

Step-by-step explanation:

6/9 * 3

First you can either simplify this to make it easier or directly multiply. Simplify it by dividing 3 on the 9.

6/3=2

Or you can multiply and it would be 18/9, because 6*3=18.

18/9=2

solve x^3 = 125/27 pls

Answers

The answer is 5/3. Because you have to find the cubed root of both numbers

Answer:

5/3

Step-by-step explanation:

Take the cube root of each of the numbers on the right

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