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Grace [21]
3 years ago
12

Please find X............

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

x=45.57^{\circ}

Step-by-step explanation:

Given that,

Hypotenuse, H = 10

Base = 7

We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :

\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}

So, the value of x is 45.57^{\circ}.

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Lea invests $8,333 in a savings account with a fixed annual interest rate of %8 compounded 2 times per year. What will the accou
anzhelika [568]
Total = Principal * (1 + rate/n)^n*years
Total = 8,333 * (1 + .08/2) ^ 2*12
Total = 8,333 * (1 + .04)^24
Total = 8,333 * <span><span><span>2.5633041649 </span> </span> </span>
<span><span><span>Total = 21,360.01</span>

</span> </span>



4 0
3 years ago
Read 2 more answers
Your friend attempted to factor an expression as shown. Find the error in your friends work. Then factor the expression correctl
loris [4]

Answer:

Third step is incorrect. The correct factored form is (x-1)(2x-5).

Step-by-step explanation:

The given expression is

2x^2-7x+5

We need to find the factored form of this expression.

Step 1: Given

2x^2-7x+5

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).

2x^2-5x-2x+5

(2x^2-5x)+(-2x+5)

Step 3: Taking out common factors from each parenthesis.

x(2x-5)-1(2x-5)

Step 4: Taking out common factors.

(x-1)(2x-5)

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).

3 0
3 years ago
Which set of side lengths will form a right triangle?
Vlad1618 [11]
The set of side lengths that form a right triangle is 7, 24, 25


Explanation:
We can solve this using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2. We can plug each set of numbers into the equation, one by one, to see if the set of numbers is true in the equation. One thing to note is that the largest number out of the set is always the hypotenuse, or c. The other numbers are the legs (a and b.)

5, 11, 13

a^2 + b^2 = c^2
(5)^2 + (11)^2 = (13)^2
25 + 121 = 169
146 ≠ 169

Since 146 doesn't equal 169, this is NOT a right triangle


9, 24, 25

a^2 + b^2 = c^2
(9)^2 + (24)^2 = (25)^2
81 + 576 = 625
657 ≠ 625

Since 657 doesn't equal 625, this is NOT a right triangle


7, 24, 25

a^2 + b^2 = c^2
(7)^2 + (24)^2 = (25)^2
49 + 576 = 625
625 = 625

This equation is true, because 625 = 625. Therefore this IS a right triangle.



5 0
3 years ago
Read 2 more answers
Any expression with a __________ exponent is equal to ________.
Elza [17]
1st one: zero
2nd one: one
6 0
4 years ago
Read 2 more answers
What is the gradient if y=-x+3<br>​
alexandr402 [8]

Answer:

Slope =  - 1

Step-by-step explanation:

The equation is in form y=mx+c, m s the slope and c  is the intercept on y axis.

Hence, in y=-x+3 , slope is -1  and intercept on y axis is 3.

3 0
2 years ago
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