Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
Answer:
y = -4x - 1
Step-by-step explanation:
Do the slope formula first to find the slope. Next do point slope form to find the y intercept and write the equation in slope intercept form.
Answer:
14
Step-by-step explanation:
This is a division problem.
We want to find how many 1/3 liters are in 4⅔ liters.
We divide to obtain:
Or
Convert to improper fraction.
This simplifies to
Therefore there are fourteen ⅓ liters in 4⅔ liters
Answer: B
Step-by-step explanation:
Step-by-step explanation:
we pay taxes of the income without the exemptions.
so, the tax-interresting amount is
38,900 - 4826 = $34,074
2% of the first $1000 = $20
$34,074 - 1000 = $33,074
3% of the next $3000 = $90
$33,074 - 3000 = $30,074
3.5% of the next $3000 = $105
$30,074 - 3000 = $27,074
4% of $27,074 = $1,082.96
so, in total he pays state taxes over a year
20+90+105+1082.96 = $1,297.96
now, he gets paid semimonthly, that means twice a month.
his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.
so, each state income tax deduction is then
$1,297.96 / 24 = $54.08 on every paycheck.
