All categories

3 years ago

Find the exact value of x in the triangle below

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

3 0

So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.

In this case, the short leg is 5√3 since that times √3 makes 15.

Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.

You might be interested in

Solve for x<br><br> (1.) 5/10x-9=8<br><br> (2.) 3/4x-3=1+5/12x

Yakvenalex [24]

Answer:

1). $x=\frac{5}{170}$

2). $x=\frac{1}{12}$

Step-by-step explanation:

(1.) $\frac{5}{10x}-9=8$

adding 9 on both sides we get

$\frac{5}{10x}=9+8$

$\frac{5}{10x}=17$

$5=17 \times 10x$

$x=\frac{5}{170}$

(2.) $\frac{3}{4x}-3=1+\frac{5}{12x}$

$\frac{3}{4x}-\frac{5}{12x}=1+3$

$\frac{9-5}{12x}=4$

$\frac{4}{12x}=4$

$12x=1$

$x=\frac{1}{12}$

8 0

3 years ago

5) ASAP HELP DUE IN 5MIN

Sever21 [200]

The answer is y=-5x :)

7 0

3 years ago

Read 2 more answers

An actor invests some money at 9% simple interest, and $24,000 more than three times the amount at 10% simple interest. The

Andrew [12]

Answer:

The amount invested at 9% is $93000

The amount invested at 10% is $303000

Step-by-step explanation:

Let the amount invested at 9% interest rate be x

And the amount invested at 10% rate be y

Simple Interest from x in a year = 0.09x

Simple Interest from y in a year = 0.1y

But y = 24000 + 3x

And the sun of the interests, 0.09x + 0.1y = 38670

Now we have a simultaneous eqn

y = 24000 + 3x (eqn 1)

0.09x + 0.1y = 38670 (eqn)

Substitute y into eqn 2

0.09x + 0.1(24000 + 3x) = 38670

0.09x + 2400 + 0.3x = 38670

0.39x = 38670 - 2400

x = 36270/0.39 = $93000

y = 24000 + 3x = 24000 + 3 × 93000 = $303000

8 0

3 years ago

Solve the system by substitution 5x+3y=8 3x+y=8

Yakvenalex [24]

3x+y=8
y=8-3x

5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4

5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4

5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8

4 0

3 years ago

A store has 1173 pairs of socks. the socks are sold in packs of 4 pairs. how many packs of socks can the store sell?

Nadusha1986 [10]

Answer:

293 packs is the maximum the store can sell.

Step-by-step explanation:

Determine the number of packs that can be made with 4 pairs of socks.

(1173 pairs)/(4 pairs/pack) = 293.25 packs

We can't sell 0.25 pack (1 pair of socks), so drop that fraction to yield 293 full packs. Donate the spare pair, so to speak, to the local IRS agent.

5 0

2 years ago