All categories

2 years ago

If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

5 0

Answer:

B. 5

Step-by-step explanation:

Let x = length of shorter leg

longer leg = $\sqrt{3}$ times the shorter leg

5 $\sqrt{3}$ = x $\sqrt{3}$

x = 5

You might be interested in

5x(3x+2)-4(2x-1)<br><br><br><br> Yea i needd help

UkoKoshka [18]

Answer: 15x² + 2x + 4

x = -2/3, 0, 1/2

Step-by-step explanation:

5x(3x + 2) - 4(2x - 1)

First, distribute:

15x² + 10x - 8x + 4

Combine like terms:

15x² + 2x + 4

This is your polynomial!

If you needed to solve for x, take your original factored polynomial and set each term equal to 0:

5x(3x + 2) - 4(2x - 1)

5x = 0

x = 0

3x + 2 = 0

3x = -2

x = -2/3

-4 = 0

No solution

2x - 1 = 0

2x = 1

x = 1/2

x = -2/3, 0, 1/2

Hope this helps!

4 0

2 years ago

Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is currentl

Annette [7]

The compounding equation is $A=P(1+ \frac{r}{n}) ^{nt}$ . So

$6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}$     Divide by 3725

$1.6141= (1+ \frac{0.022}{n}) ^{22n}$

Daily    = $(1+ \frac{0.022}{365}) ^{22*365}$
              = $(1.000060274) ^{8030}$
              = 1.6225
Monthly = $(1+ \frac{0.022}{12}) ^{22*12}$
              = $(1.0018333) ^{264}$
              = 1.6218
Quarter = $(1+ \frac{0.022}{4}) ^{22*4}$
              = $(1.0055) ^{88}$
              = 1.6204
Yearly = $(1+ \frac{0.022}{1}) ^{22*1}$
              = $(1.022) ^{22}$
              = 1.6141

The answer is yearly.

5 0

3 years ago

What is the formula for a trapezium

aleksklad [387]

A= (a+b/2) × h

Is the formula for a trapezoid

4 0

2 years ago

carol bought 8 identical boxes for a total of 3.60$. how much did each box cost? which statement would you use?

Tju [1.3M]

You just divide the 3.60 by the eight and then you get 45 cents for each box.

7 0

2 years ago