All categories

3 years ago

The length of a hypotenuse of a 30-60-90 triangle is 4. Find the longest leg.

Mathematics

2 answers:

const2013 [10]3 years ago

5 0

check the picture below.

nika2105 [10]3 years ago

4 0

Answer:

B) 2√3

I am pretty sure, based off of the picture provided in the last answer.

You might be interested in

Solve and round answer to nearest hundredth please.

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

Solve this by using natural logs. Taking the natural log of both sides:

$ln(7*16^{8x-8})=ln(3)$

To undo the multiplication, we use addition:

$ln(7)+ln(16)^{8x-8}=ln(3)$

The rule says we can now bring the exponent down in front of the ln:

$ln(7)+(8x-8)ln(16)=ln(3)$

Now we will subtract ln(7) from both sides:

(8x - 8)ln(16) = ln(3) - ln(7)

Now we will divide both sides by ln(16):

$8x-8=\frac{ln(3)-ln(7)}{ln(16)}$ then add 8 to both sides:

$8x=\frac{ln(3)-ln(7)}{ln(16)}+8$ which simplifies to

8x = 7.694401895 so

x = .9618002368 or, rounded,

x = .96

(Rest assured I did the math and checked the answer and it checked out perfectly!) I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)

5 0

3 years ago

20 points

djverab [1.8K]

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

7 0

3 years ago

100 cm is equal to: A. 0.1 m B. 1,000 m C. 10 m D. 1 m

Scrat [10]

Answer:

D. 1 m

Step-by-step explanation:

100 cm = 1 m

This is a conversion factor

3 0

4 years ago

Read 2 more answers

A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi

sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

$f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C$

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

$1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266$

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

$100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05$

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0

3 years ago

the cost of a renting a car is $55/wk plus $0.15/ mi traveled during that week . an equation to represent the cost would be y =5

Morgarella [4.7K]

The maximum number of miles you could drive would be 300.
Multiply 0.15 by 300 and that adds up to $45. 45 + 55 = $100
An equation to explain this would be
y = 55 + 0.15x
y represents your $100 budget, 55 is the initial rental fee, and if you plug 300 in for x that solves your equation.

4 0

3 years ago

Read 2 more answers