Please help! I need this as soon as possible!

Given:

The vertices of a right triangle are:

[tex](-3,4),(3,4),(3,-4)[/tex]

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]

[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(6)^2+0}[/tex]

[tex]AB=\sqrt{36}[/tex]

[tex]AB=6[/tex]

Similarly,

[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]

[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]BC=\sqrt{64}[/tex]

[tex]BC=8[/tex]

And,

[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]

[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]AC=\sqrt{36+64}[/tex]

[tex]AC=\sqrt{100}[/tex]

[tex]AC=10[/tex]

Now, taking sum of squares of two smaller sides, we get

[tex]AB^2+BC^2=6^2+8^2[/tex]

[tex]AB^2+BC^2=36+64[/tex]

[tex]AB^2+BC^2=100[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

Answer:

Y=4/6X ( or u can write it as Y=1.5X) .

Hope it was helpful for you .

Answer:

The required expression is,

4k + 2d

Step-by-step explanation:

Given,

She feeds her kitten k gram of food,

She feeds 2 times in the morning,

⇒ Food fed in morning = 2k,

Also, she feeds 2 times in the evening,

⇒ Food fed in evening = 2k,

So, the total food she gives to her kitten = 2k + 2k = 4k,

Now, She feeds her dog d gram of food,

She feeds 1 times in the morning,

⇒ Food fed in morning = d,

Also, she feeds 2 times in the evening,

⇒ Food fed in evening = d,

So, the total food she gives to her dog = d + d = 2d,

Hence, the total food she feeds to her animal in a day = 4 k + 2 d

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

Answer:

.466666666 or 46.66666% (the 6s go on forever)

Step-by-step explanation:

1/3 + 1/5 = 53.33333%

1 - .53 = 46.66666% is how much she watched last night

Answer:

Check pdf

Step-by-step explanation:

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

Answer:

add 3.99 + 6.99 + 5.99 = 16.97 divide 14.50 by 16.97 you will get .854 multiply by 100 it is %85.4 that is the percentage he paid then he saves 100 - 85.4 = %14.6

Answer:

240 is the amount

Answer:

240

Step-by-step explanation

1. 75 ÷ 15 =5

2. 12 x 4 = 48

3. 48 × 5 = 240

Answer:

16√3 cm³

Step-by-step explanation:

The volume of a triangular prism is given as:

V = (1/3)B*h

Where B is the area of the base and h is the height of the prism.

Given that B = 12√3. The height fro the diagram is BC.

Since ∠BAC = 30° and ∠BCA = 90°, we can find BC using trigonometric identity.

tan(30) = BC / AC

but AC = 4√3, hence:

tan(30) = BC / (4√3)

BC = 4√3(tan 30)

BC = 4

V = (1/3)B*h = (1/3)B* BC = (1/3) * 12√3 * 4 = 16√3 cm³

Answer:

its b

Step-by-step explanation:

i just took the test on edge

Answer: It's C=πr2

Step-by-step explanation: I took the test

Answer: 47.86

Step-by-step explanation:

tan x =42/38

tan x= 1.105

x= 47.86

Answer:

EGQ ERKNG BQEG'QERJ

Step-by-step explanation:

Answer: It will be set: a), e), g)

Step-by-step explanation:

In order to form a triangle then the sum of its angles has to be equal to 180 degrees. In order to find out if it’s possible to form a triangle from a specific set of angles, then you have to add them up and see if they are equal to 180 degrees. If they are then it’s a triangle if they less than or greater than 180 then a triangle cannot he formed.

Answer:

-5

Step-by-step explanation:

1*1=1

1-6= -5

Hope this helped!

Answer:

6.5

Step-by-step explanation:

Answer:

6.5 centimeters (proof below!)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

There are 4 prime numbers from 45 to 65:

47, 53, 59, 61

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

a

Step-by-step explanation:

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

Answer:

The equation is y= 3/4x + 6.

Step-by-step explanation:

Hope this helps!

ok na bro check in hoogle

Answer:

1/25

Step-by-step explanation:

You have to add all of the supplies.

5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies

Put 3 over 15, since fractions are part over whole.

Now you have to simplify 3/15, which is 1/5.

Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

Answer:

35+28=31

Step-by-step explanation:

Answer:

a = 9

Step-by-step explanation:

sin45 = a/9√2

a = 9√2(sin45)

a = 9

Answer:

Emma and Maas and other people

340 you were right

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

first you have to find one side

i will go with 10 and 8

10*8=80

there are two of them

160 save this number in your bank

8*5=40 for the base

there are two of these too

80 save this number in your mental bank

for the last side 10 and 5

10*5=50 there are two of them

100

now add them all up

100+80+160=340

hope this helps!