Find the length of the third side. If necessary, write in simplest radical form.

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Answer:

7 * 10 to the power —5

Step-by-step explanation:

check out the attached photo.

Answer:

70x - 10

Step-by-step explanation:

To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]a^2 + b^2 = c^2[/tex]

Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.

To find the lengths of a right triangle, we can use Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex],

where; a and b are the legs of the triangle and c is the hypotenuse.

[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]

b = 11.0 cm

Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

Learn more about Pythagoras theorem;

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Answer:

It will gain $120, making it $620 in all.

Step-by-step explanation:

A = 500(1 + (0.06 × 4)) = 620

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67

Therefore, your answer is: y = 67

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answers:  

Exponential decay model is y = 500*0.88^x

There is roughly 0.0000000000237 mL of the original air left.

There are 10 zeros between the decimal point and the '2'

The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]

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Further Explanation:

A general exponential equation is

y = a*b^x

We start with 500 mL of air which is the value of 'a'

If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%

Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.

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

Since a = 500 and b = 0.88, we have

y = a*b^x

y = 500*0.88^x

Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.

y = 500*0.88^x

y = 500*0.88^240

y = 0.0000000000237

This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.

Notes:

Answer:

103

Step-by-step explanation:

103.3's 3 is closer to 0 than 5

Answer:

Hope the picture will help you.

Answer:

4x+3=2x+27

4x-2x=27-3

2x=24

x=24/2

x=12

Answer:

51

Step-by-step explanation:

2x+27=4x+3

    -3       -3

__________

2x+24=4x

___________

         2

x+12=2x

-x      -x

___________

12=x

now plug in/check answer

2(12)+27=4(12)+3

24+27=48+3

51=51

true

Answer:  the factor that we can multiply by itself to get that number

Step-by-step explanation:

For example, the square root of 4, is 2 because 2*2 is 4.

Answer:

the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give

Step-by-step explanation:

Answer:

$1218

Step-by-step explanation:

Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218

Step-by-step explanation:

The label of the soup is the lateral area of the cylinder.

The formula for a cylinder is  LA = ph.

The perimeter of a cylinder is the circumference of a circle, 2 times pi times r.

then multiply that answer by the height of 6.

The answer will be in square inches

Answer:

160

Step-by-step explanation:

If there were only 2 options, all the people who didn't pick one chose the other one.

So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.

Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.

To find the total number of students, we add 120 and 40 to get 160

Answer:

Hi mate

Step-by-step explanation:

Your question

[tex] {(5p + 2)}^{2} [/tex]

Applying identity we get

[tex] {5p}^{2} + 2(5p)(2) + {2}^{2} [/tex]

Now finding answer

[tex] {25p}^{2} + 20p + 4[/tex]

Thsi is answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Hi!

Given:

[tex](5p+2)^2[/tex]

The exponent of 2 shows we need to multiply it all by itself.

This is equal to:

[tex](5p+2)(5p+2)[/tex]

Use Distributive property and FOIL method:

[tex]25p^2+10p+10p+4[/tex]

Combine like terms:

[tex]25p^2+20p+4[/tex]

NOTE: if you are not familiar with the FOIL method, see the attached image below:

Answer:

the answer is x= -6 and y= -13

Answer:

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Answer:

A

Step-by-step explanation:

it's a geometric sequence since it is continuously being multiplied by the same number which in this case is 2.

Answer:

A. 3, 6, 12, 24

Step-by-step explanation:

In A, you're multiplying by 2 each time.

Answer:

10 is the answer for this

please mark me as brilliant

Answer:

No, 90 kg is more

Step-by-step explanation:

90 Kilograms is about 198 pounds while 90,000 milligrams is about 0.198 of a pound

Answer:

No 90kg is greater  

Step-by-step explanation:

1000mg= 1 g

90,000/1000= 90

100g= 1 kg

90/100= 0.9kg

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

Learn more about the rectangle visit:

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Answer: 300 cents and/or pennies

Step-by-step explanation:

Answer:

146 m²

Area of triangle:

Area of upper rectangle:

Area of bottom rectangle:

Total area:

Answer:

146 m²

Step-by-step explanation:

Divide the figure into a triangle and 2 rectangles (see attached diagram)

Formulae

Triangle 1

⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)

            = 1/2 x 16 x 7

            = 56 m²

Rectangle 2

⇒ area = 3 x (6 + 9)

            = 3 x 15

            = 45 m²

Rectangle 3

⇒ area = 5 x 9

            = 45 m²

Total area

⇒ Total area = triangle 1 + rectangle 2 + rectangle 3

                      = 56 + 45 + 45

                      = 146 m²

Step-by-step explanation:

From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.

Bert and his sister are 4 meters apart.

So

f(2)

f(3)

f(4)

Answer: x=4. PS=QR=15

Step-by-step explanation:

Answer:

7.62

Step-by-step explanation:

To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.

A^2 + B^2 = C^2

Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.

First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.

On the x-axis we have

A = 5 - 2

A = 3

The y-axis has

B = 4 - (-3)

B = 7

Plugging these values into the equation from earlier we get:

3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.

9+49 = C^2

sqrt(58) = C

7.615773106 = C

Rounded the the nearest hundredth:

C = 7.62

Answer:

y= -60x+ 200

Step-by-step explanation:

Given: Initial distance from Kingston = 200 miles

Distance from Kingston after 2 hours= 80 miles

Step 1:

The general model for linear equations is given as:

y= ax+ b

where

a= slope

b= y-intercept

Step 2:

The y-intercept represents the initial value: 200 miles from the Kingston

b= 200

Therefore,

y= ax+ 200

Step 3:

As the car gets closer to Kingston, the distance keeps decreasing.

The car having covered 80miles need to cover another 120 miles after 2 hours

Hence, the slope would be negative

Slope:

a= -120 miles/2 hours

a=-60

The model therefore is:

y= -60x+ 200

Final answer: Option (D)

The model is : y= -60x+ 200

Check the picture below.

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]

notice, we didn't use the negative value of "L", because the length can't be negative.