the hypotenuse of a 45-45-90 triangle has a length of 10 units what is the length of one of its legs

Answer:

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Step-by-step explanation:

−1.3 ≥ 2.9 − 0.6r

Rewrite so r is on the left side of the inequality.

2.9 − 0.6r  ≤ −1.3

Move all terms not containing r to the right side of the inequality.  

Subtract 2.9 from both sides of the inequality.

−0.6r  ≤ −1.3 − 2.9

Subtract 2.9 from −1.3.

−0.6r  ≤ −4.2

Divide each term by −0.6 and simplify.

      Divide each  term in −0.6r  ≤ −4.2 by −0.6. When multiplying or dividing both sides of an

      inequality by a negative value, f lip the direction of the inequality sign.

       −0.6r /−0.6 ≥  −4.2 /−0.6

       Cancel the common factor of −0.6.

                  −4.2

          r ≥    ______

                  −0.6

 Divide −4.2 by −0.6.

r ≥ 7

The result can be shown in multiple forms.

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Answer:

6.5 < 6.55

Step-by-step explanation:

since

6.5 can be written as 65/10

6.55 can be written as 655/100

when we take LCM of 100 and 10 we get 100.

so we will multiply 65/10 with 10 on both numerator and denominator.

we get 650/100 and 655/100 .

since denominators are same we can say that 650<655.

Hence,

6.5 < 6.55

Answer: Two points = 26

Three points = 16

Step-by-step explanation:

Let the 2 points questions be represented by x

Let the 3 points questions be represented by y

Since the math test contained 42 questions, some of which were worth two points while therest were worth three points. This can be written as:

x + y = 42 ........... equation i

Since a perfect score is 100 and some questions are worth two pints while others are worth 3 points. This can be written as:

2x + 3y = 100 ........... equation ii

x + y = 42 ........... equation i

2x + 3y = 100 ......... equation ii

Multiply equation i by 2.

Multiply equation ii by 1

2x + 2y = 84 ........ equation iii

2x + 3y = 100 ....... equation iv

Subtract equation iii from iv

y = 16

There are 16 3-points questions.

Since x + y = 42

x + 16 = 42

x = 42 - 16

x = 26

There are 26 2-points questions

Answer:

do you go to risdon

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Given that :

Handling fee = $5

Cost of ticket to comedy concert = $58 each

The total cost y of buying ticket x ;

Using the slope - Intercept relation

y = mx + c

m = slope ; c = intercept

The constant handling fee = $5 = c = intercept

Cost of x tickets = (cost per ticket * number of tickets) = 58 * x = 58x

Hence,

y = 58x + 5

Comparing with the intercept slope equation :

Slope (m) =58

Answer:

-1,-2

Step-by-step explanation:

Answer:

A C E H

Step-by-step explanation:

Answer:

824% just move the decimal two place values?

Step-by-step explanation:

Answer:

Answer:5.86÷12=0.5 in nearest penny

Step-by-step explanation:this number kind of problem u solve it using inversely proportional method one one quantity is decreasing which is the ounce

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

the answer is c.(3,-3)

:)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

31%

Step-by-step explanation:

Answer:

$405

Step-by-step explanation:

$13.50 times the 40 hours is $540

$540 minus the $135 she has to pay her parents is $405

Answer:

1. [tex]V =1607.7\ in^3[/tex]

2. [tex]V = 105mm^3[/tex]

3. [tex]V = 147yd^3[/tex]

Step-by-step explanation:

Solving (1):

Given

[tex]Radius, r =8\ in[/tex]

[tex]Height, h =8\ in[/tex]

Required

Determine the volume

Volume (V) of a cylinder is calculated as thus:

[tex]V =\pi r^2h[/tex]

[tex]V =3.14 * 8^2 * 8[/tex]

[tex]V =1607.7\ in^3[/tex]

Hence, the volume of the cylinder is [tex]1607.7\ in^3[/tex]

Solving (2):

Given

[tex]Length, l = 5mm[/tex]

[tex]Width, B = 7mm[/tex]

[tex]Height, H = 3mm[/tex]

Required

Determine the volume (V) of the rectangular prism

Volume (V) of a rectangular prism is calculated as thus:

[tex]V = LBH[/tex]

[tex]V = 5mm * 7mm * 3mm[/tex]

[tex]V = 105mm^3[/tex]

Hence, the volume of the prism is [tex]105mm^3[/tex]

Solving (3):

Given

[tex]Length, l = 7yd[/tex]

[tex]Width, B = 7yd[/tex]

[tex]Height, H = 9yd[/tex]

Required

Determine the volume (V) of the pyramid

Volume (V) of a pyramid is calculated as thus:

[tex]V = \frac{1}{3} *LBH[/tex]

[tex]V = \frac{1}{3} * 7yd * 7yd * 9yd[/tex]

[tex]V = \frac{1}{3} * 441yd^3[/tex]

[tex]V = 147yd^3[/tex]

Hence, the volume of the pyramid is [tex]147yd^3[/tex]

Answer:

y=6x+24

Step-by-step explanation:

your temperature at the y-intercept is 24 degrees, and your slope being 6/1, so that would be your line equation. You can just plug in to solve after that

Remember that for your graph your dependent variable is always on the x-axis, and your independent variable is always on the y-axis. So because the temperature depends on time, the x-axis is the time of day in hours, and your y-axis is the temperature in Fahrenheit.

Answer:

28=(7)x+b

Step-by-step explanation:

y=mx+b right?

starts at 28, so plug that into y

28=mx+b

the rate of change is 7, so you plug that into m

28=(7)x+b

(I'm sorry if this is wrong, this is just my understanding of this)

Since it is translated 5 units down that means the y-intercept is -5, so the equation above is correct.

Answer:

thx

Step-by-step explanation:

Answer:A. The population of fish species in 2005 was 10000

Step-by-step explanation:

2005 = (t = 1)

Answer:

y=12x+10

Step-by-step explanation: First you start off with PEMDAS and multiply 12 times x and -1. Which you'll have y - 2 = 12x - 12. Next you'll subtract 2 by both sides and your answer will be y = 12x -10

Answer:

y = 1/2x + 1 1/2

Step-by-step explanation:

Slope-intercept form is written with the formula [ y = mx + b ].

Solve for y.

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

y - 2 = 1/2x - 1/2

y = 1/2x + 1 1/2

Best of Luck!

The first one (the one that you have chosen)

Answer:

The top left one!!!! hope this is in time!!

Step-by-step explanation:

9514 1404 393

Answer:

  1

Step-by-step explanation:

  [tex](f\circ g)(-1)=f(g(-1))=f(4(-1)^2+2)\\\\=f(6)=\dfrac{8}{6+2}=1\\\\\boxed{(f\circ g)(-1)=1}[/tex]

30

Step-by-step explanation:

15x + J + 3x = 6(3x + 5)

18x + J = 18x + 30

-18x -18x

J = 30

Answer: The voltage across an identical resistor = 60 Volts

Step-by-step explanation:

Step 1

Given  that voltage across the resistor is directly proportional to the current running through the resitor.

 Mathematically, it would be represented as

Voltage  ∝  Current

Introducing the constant of proportionality,  k which represents the Resistor as it is constant.

we have that

Voltage  = K  x  Current

When current = 12 amps and voltage = 480v, the constant of proportionality  K

480 = k x 12

k = 480/12

k= 40

Step 2 ,

when current = 1.5 amps

 Voltage = ?

Using our equation that

Voltage  = K  x  Current

Voltage = 40 x 1.5

Voltage = 60 Volts

Answer:

tbh stay away from the drama because that just gets u in everything and u dont  want that and just focus on yourself to stay on task worry about everyone else and i need help on staying organized too

Step-by-step explanation:

Answer:

$41

Step-by-step explanation:

Answer:

15

Step-by-step explan

Answer:

it isn't proportional because it doesn't go through the origin.

Step-by-step explanation:

Answer:

hi mom love you

Step-by-step explanation:

Answer:

95 6 11

Step-by-step explanation:

im really smart lol    jp   :/

Answer:

m∠C'B'D' = 95

CQ = 6

B'D' = 11

Step-by-step explanation:

Edge2020

Have a great day! :)

Answer:

C

Step-by-step explanation:

Hope this helps