the legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous

Answer:

x = 30

Infinite Solutions

No Solutions

Step-by-step explanation:

First, combine like terms

Then move all variable to one side and isolate them by undoing the action being done to them

Example 1:

6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

-9x                 -9x

x - 6 = 24

  +6     +6

x = 30

Example 2:

25 - 4x = 15 - 3x + 10 -x

25 - 4x = 25 - 4x

Since they are the same on both sides, this equation has Infinite Solutions

Example 3:

4x + 8 = 2x + 7 + 2x -20

4x + 8 = 4x - 13

-4x        -4x

8 = -13

This statement is untrue, therefore this equation has No Solution

Answer:

16

Step-by-step explanation:

The absolute value always gives a positive value , that is

| - a | = | a | = a , then

| - 16 | = | 16 | = 16

Answer:

The correct answer is

D) e and l

Answer:

2x^2 -1

Step-by-step explanation:

f(x)=2x^2+3

g(x)=x-4

g(f(x))

Replace x in g(x) with the function f(x)

g(f(x)) = 2x^2+3 -4

Combine like terms

         =2x^2 -1

Answer:

42

Step-by-step explanation:

prime factorisation of 1764 = 2^2 × 3^2 × 7^2

hence,

√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42

Answer:

42

Step-by-step explanation:

1764 = 2 * 882

        = 2 * 2 * 441

        = 2 * 2 *  3 * 147

        = 2 * 2 * 3 * 3 * 49

        = 2 * 2 * 3 * 3 * 7 * 7

[tex]\sqrt{1764} = \sqrt{2*2*3*3*7*7} = 2*3*7 = 42[/tex]

Answer:

[2,10,18]

y = 4x + 2

0,2

1,6

2,10

3,14

4,18

Step-by-step explanation:

Answer:

x=0  y=2

x=2  y= 10

x=4  y= 18

Step-by-step explanation:

Is means equals

y = 4x+2

Let x = 0

y = 4(0)+2 = 2

Let x = 2

y = 4(2)+2 = 8+2 = 10

Let x =4

y = 4(4)+2 = 16+2 = 18

Answer:34/45

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

Answer:

The correct solution is "(0.092, 0.148)".

Step-by-step explanation:

Given:

Sample size,

n = 500

True proportion,

[tex]\hat {p} = \frac{60}{500}[/tex]

  [tex]=0.12[/tex]

The standard error will be:

[tex]SE=\sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

     [tex]=\sqrt{\frac{0.12(1-0.12)}{500} }[/tex]

     [tex]=\frac{0.12(0.88)}{500}[/tex]

The confidence interval is "1.96".

hence,

The required confidence interval will be:

= [tex](\hat p - 1.96 SE, \hat p + 1.96 SE)[/tex]

By substituting the values, we get

= [tex](0.12-1.96\sqrt{\frac{0.12(0.88)}{500} }, 0.12+1.96\sqrt{\frac{0.12(0.88)}{500} } )[/tex]

= [tex](0.092, 0.148)[/tex]

Answer:

-70

Step-by-step explanation:

keep adding -4 until you reach the 18th term for example

-2

-6

-10

-14

-18

-22

-26

-30

-34

-38

-42

-46

-50

-54

-58

-62

-66

-70

Answer:

a. 25 ft squared

b. 0.3

Step-by-step explanation:

a. if the perimeter is 20 that means that each side would be 5 because its a square and 5 x 5 is 25.

b. 0.3 to the third power is 0.027

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

Answer:

−0.73333333333333

Step-by-step explanation:

This is the decimal form of -11/15

Answer:

Step-by-step explanation:

x+2y=-2

2y=-x-2

y=-x/2-2/2

y=-x/2-------(1)

y=1/2x-5-----(2)

(1)=(2)

-x/2=1/2x-5

-x=x-10

-2x=-10

x=5

substitute in 2

         y=(1/2)*5-5

           =5/2-5

          =-2.5

Answer:

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Step-by-step explanation:

Beginning temperature: 63° F

Change in temperature: 8° F

If the temperature decreased: 63° F - 8 °F = 55° F

If the temperature increased: 63° F + 8° F = 71° F

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Answer:

B

Step-by-step explanation:

z^2 - 6z - 27 = 0

(z - 9)(z+3) = 0

z - 9 = 0 z + 3 = 0

z = -3, 9

Answer:

These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Complementary means that they add to 90 degrees

<A + <B = 90  given

<B + <C = 90  given

<A + <B = <B + <C  substitution property of equality.

<A = <C  subtraction property of equality

Step-by-step explanation:

if

c = 3 + 6 = 9

and

n = 4 + 5 = 9

then it could be true

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

Answer:

AC = 7.3 in

Step-by-step explanation:

tan(51°) = 9/AC

1.24 = 9/AC

AC = 9/1.24

AC = 7.26

Given:

The temperature on a mountain peak was 7°F at 6:00 p.m.

By 8:00 p.m., the temperature had dropped to 0°F.

To find:

The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.

Solution:

Time between 6:00 p.m. to 8:00 p.m. is 2 hours.

Change in temperature in 2 hours is -7°F.

Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.

Time between 8:00 p.m. to 11:00 p.m. is 3 hours.

Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.

Now, the temperature at 11:00 p.m is:

[tex]0-\dfrac{21}{2}=-10.5[/tex]

Therefore, the temperature at 11:00 p.m. is -10.5°F.

Note: All options are incorrect.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.

Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.

f is a sequence of arithmetic.

Write a series explicit form.

[tex]\to f(n) = 70n + 5[/tex]

Answer:

Arithmetic Sequence, f(n)=5+70(n-1)

Step-by-step explanation:

checked on khan

Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but t. We have

(3r + 2s + t + 2u + 3v) - (3r + 2s + 3t + 2u + 3v) = 7 - 17

-2t = -10

t = 5

Answer:

F. 1/2

Step-by-step explanation:

If the ratio of team assistants to players are 1/6 and there are 36 players that means that there are 6 team assistants. If we do the ratio of coaches to assistant that would be 3/6 or F. 1/2

Answer:

Step-by-step explanation:

Let the initial velocity of the ball is u.

At the maximum height the speed is zero.

Let the time is t.

Use first equation of motion.

v = u - gt

0 = u - g t

t = u/g

Let the maximum height is H.

Use third equation of motion

[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]

Answer:

A=45m²

Step-by-step explanation:

A=bh=9·5=45m²

Answer:

A.1800 B.360

Step-by-step explanation:

a- 12-2×180=1800

b- 30x12=360