please help for the brainliest answer

14.  Each leg is   [tex]21\sqrt{2}[/tex]  units long.

15 (a). The longer leg is [tex]7\sqrt{3}[/tex]  units long

15 (b). The hypotenuse is [tex]14[/tex] units long

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

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

[tex]y = x\sqrt{2}[/tex] where x is the leg and y is the hypotenuse

Let's solve for x

[tex]y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\[/tex]

Now plug in the given hypotenuse y = 42, this leads to,

[tex]x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\[/tex]

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

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is [tex]7\sqrt{3}[/tex]

Answer:

B

Step-by-step explanation:

When you finish solving an equation and find the answer to be that two numbers are equal to each other when they are in fact, this means that the equation has no solutions because not values could make it true. Hpope this helps!

Answer:

I think it is B

Step-by-step explanation:

Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Answer:

Adding 13 to both sides we get x = 8.

Answer:

x = 8

Step-by-step explanation:

x - 13 = -5

x = 8

Answer:

1/2

Step-by-step explanation:

The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.

Its Up/Right.

This version of rise over run however only works when the line is going up.

Answer:

Yes,she had enough

½pound=8ounces

she needs a total of 24ounces

Step-by-step explanation:

She had enough because ½pound is 8ounces thus 16ounces+8ounces add up to 24ounces.

Answer:

Yes,she had enough

½pound=8ounces    she needs a total of 24ounces

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40 pages

Step-by-step explanation:

240/12 = 20 = pages read in 1 hour

20 x 2 = 40 = pages read in 2 hours

Answer: proptional

Step-by-step explanation:

Answer:

x-3

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x + 1

(f-g)(x) = 3x-2 - (2x+1)

Distribute the minus sign

          =3x-2-2x-1

Combine like terms

        = 3x-2x-2-1

        =x-3

Answer:

120

Step-by-step explanation:

There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.

Answer:

D

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

D

Step-by-step explanation:

parabolas are functions

the graphed is a parabola

it passes the vertical line test.

Answer: It’s C i got it right on the test

Step-by-step explanation:

RC’ ,180 o r m

Answer:

It's C I got a 100 on the test

Step-by-step explanation:

A and B have to be wrong because there is no 90° rotation and D isn't right because it's backwards

Answer:

1,3,5,7,9....up to soon are odd numbers

Step-by-step explanation:

they are not divided by 2

Answer:

1,3,5,7,9

Step-by-step explanation:

Answer:

x = -7/2, y=2

Step-by-step explanation:

2x + 5y = 3

-2x - y = 5​

Add the two equations together to eliminate x

2x + 5y = 3

-2x - y = 5​

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

     4y = 8

Divide each side by 4

4y/4 = 8/4

y =2

Now find x

2x +5y =3

2x +5(2) =3

2x+10 =3

Subtract 10

2x = -7

Divide by 2

2x/2 = -7/2

x = -7/2

Answer:

y=7*3^x

Step-by-step explanation:

y=ab^x

(0,7) ⇒ 7=ab^0 ⇒ 7=a

(5, 1701) ⇒ 1701= 7b^5 ⇒ b^5=243 ⇒ b^5= 3^5 ⇒ b=3

y=7*3^x

Answer:

(-2,0.5)

Step-by-step explanation:

1st set of Point=(-5,-2)

2nd set  of Point=(1,3)

Midpoint=(X1+X2/2 , Y1+Y2/2)

=(-5+1/2 , -2+3/2)

=(-2,0.5)

Answer:

the area is 28.2

Step-by-step explanation:

28.27433388

Answer: hello this its 28.27433388

thats what i got

Step-by-step explanation:

Answer:

4 years old

Step-by-step explanation:

Harry = H

Brother = B

Aunty = A

Dad = B

H = ½ B

B = A - 28

A = D + 5

D = 31

A = 31 + 5 = 36

B = 36 -28 = 8 years old

H = ½ . 8 = 4 years old

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

Charlotte has been working for her company for x years.

Travis has been working for the same company exactly 3 years longer than Charlotte.

This means that Travis have 3 years extra than Charlotte.

So, the range of the relationship is

y>3.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ7

Step-by-step explanation:

b can be used to check her score

Answer:

5/18

Step-by-step explanation:

5/9 times 1/2

5/18

I may be wrong sorry

Answer:

Step-by-step explanation:

Let's call the first number x.

We can write an equation representing the problem using x:

x+x+20=200 (because the second number is 20 more than the first, or x)

Combine like terms: 2x+20=200

Subtract 20 from each side of the equation: 2x=180

Divide by 2: x=90

The first number is 90, the second number is 110.

Hope this helps!

Answer:

The probability the student studies Art and Biology is 0.2143.

Step-by-step explanation:

Denote the events as follows:

A = a students studies Art

B = a students studies Biology

The information provided is:

N = 42

n (A ∩ B) = 9

n (A' ∩ B) = 10

n (A' ∩ B') = 7

Then the number of students who study Art but not Biology is:

n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')

               [tex]=42-10-7-9\\\\=16[/tex]

The number of students who study Art but not Biology is 16.

Compute the probability the student studies Art and Biology as follows:

[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]

               [tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]

Thus, the probability the student studies Art and Biology is 0.2143.

Answer:

number of students who ate soup = 60

number of students who didn't ate soup

= 300-60

= 240

60/240 = 1/4

Answer:

yes

Step-by-step explanation:

because it happens that way that it wants

Answer:

The answer is {-4,2,6}

Step-by-step explanation:

I am sorry if i had more time i would explain but i gotta go.

Answer:

30

Step-by-step explanation:

3*10 = 30

Answer:

30

Step-by-step explanation:

PEMDAS says you do (8+2) first, which equals 10, then you multiply 3 by 10, which equals 30.

Answer

y=45

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6.4 × 3 =19.2

44.4 - 19.2 =2.8y

25.2=2.8y

25.2/2.8=y

y=9

Answer:

10

Step-by-step explanation:

(8-5)2 + 4, let's start with the first step, the parentheses.

(8-5)=3 , then we multiply by 2, so (3)*2 which equals 6. 6+4=10!

Hope this helps! :)

Answer: the answer is 19

Step-by-step explanation:

i just got this question and got it right!