Answer:
16/52
Step-by-step explanation:
A 4 or a club4/52 + 13/52 - 1/52 = 16/52 = 4/13f. A 6 or a spade4/52 + 13/52 - 1/52 = 16/52 = 4/13g. A heart or a club13/52 + 13/52 = 26/52 = 1/2h.
Answer:
7.5
Step-by-step explanation:
fourths mean 1/4
We will have to multiply the initial value with the 1/4
30 * 1/4 = 7.5
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
<em>
</em>
In this question, Adrian initially has $52,000 and his salary is 1.2 times the previous year's salary. This means the income should look like this:52000*1.2^n
30% of his income is budgeted for rent, then the equation should look like this: 30% * income= 30%*(52000*1.2^n)
Adrian's income increases by $2,300 each year as a result of gifts will make this equation:2300n
if you put the 3 equation together you will get
f(n)= 52000*1.2^n - 0.3(52000*1.2^n) +2300n
f(n)= 36400*1.2^n +2300n
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a triangle is 180
70+60+8x+2 = 180
Combine like terms
132 +8x = 180
Subtract 132 from each side
132+8x-132= 180-132
8x = 48
Divide each side by 8
8x/8 = 48/8
x = 6
