All categories

2 years ago

Could someone please help me with this

Mathematics

1 answer:

makvit [3.9K]2 years ago

5 0

Answer:

4√3 cm^2

Step-by-step explanation:

30 60 90 right triangle

The ratio of short leg : long leg : hypo. = x : x√3 :2x

Given Hypo BC = 4 = 2 * 2

so Long leg = 2√3

Area of ABC = 1/2 (b)(h)

= 1/2 (4)(2√3)

= 4√3

Answer

4√3 cm^2

Perimeter = 3 x 4 = 12 cm (you asked from other, so I answered for you as well)

You might be interested in

Solve each. Show all necessary work.

LenaWriter [7]

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!

8 0

2 years ago

If the rate of inflation is 3.7% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following

larisa86 [58]

Answer:

50000000

Step-by-step explanation:

8 0

2 years ago

Helppppppp pleaseee

Viktor [21]

Answer:

$x=2\sqrt{5}$

Step-by-step explanation:

If that is a square, then all sides are the same. Therefore, it's a $\sqrt{10}$ by $\sqrt{10}$ shape. We'll use Pythagorean Theorem to find the diagonal.

$a^2+b^2=c^2\\\sqrt{10}^2+ \sqrt{10}^2=x^2\\10+10=x^2\\20=x^2\\\sqrt{20}=x\\\sqrt{4*5}=x\\ 2\sqrt{5}=x$

Since it's not a fraction, there is no denominator to rationalize. Let me know if you have any other questions!

5 0

2 years ago

Write an expression to represent three minus the product of two and a number x

Rainbow [258]

3 minus ___ ⇒ 3 - ___

the product of 2 and a number x ⇒ 2x

"3 minus the product of 2 and a number x" ⇒ 3 - 2x

_____

Each part of the description has a translation.

7 0

2 years ago

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his

musickatia [10]

Step-by-step explanation:

<h3>Given Information :</h3>

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
Remaining money = $759

<h3>To calculate :</h3>

His monthly salary.

<h3>Calculation :</h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\$

$\longrightarrow\sf {10x+ 15939= 21x} \\$

$\longrightarrow\sf {15939= 21x - 10x} \\$

$\longrightarrow\sf {15939= 11x} \\$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\$

$\longrightarrow\underline{\boxed{\bf {1449= x}}} \\$

Therefore, his monthly income is $1449.

7 0

3 years ago