Answer: B = 70°, b = 29.2; c = 29.2
Step-by-step explanation:
sum of angles in a triangle is 180
40+70 +X = 180
X is the last angle
110+x=180
x= 180-110 =70
A= 40°
B= 70°
C= 70°
the triangle is Isosceles triangle meaning two sides are equal , angle B = angle C
Answer:
=2y+22
Step-by-step explanation:
What is the value of the expression when y = 2 2-y/4+y + 3(y+2)/y
Sorry if I am wrong
(-2/3)*(-2 1/4)*(3/4) Convert the mixed fraction to improper fraction.
(-2/3)*(-9/4)*(3/4) Then you multiply the numerators with numerators and denominators with denominators
(-2*-9*3) negative times negative is positive, so the negative sign is gone
-------------
(3*4*4*) The lines (-----) is the line of the fraction
54/48 This is the product of this multiplication, now you need to simplify
by reducing the numbers of the fraction
9/8 And that would be the answer
Hey there.
For 5:
We already have been given all the information we need to solve for this- it's just really extensive, so bare with me here.
With our initial deposit of $150 in January, we give 10% of the current value in the following month. This means 10% of 150 will be deposited into the checking account in February, and so on for the rest. I will work this out.
10% of 150 = 15; we deposit $15 into the account in February.
10% of 165 = 16.5; we deposit $16.5 into the account in March.
10% of 181.5 = 18.15; we deposit $18.15 into the account in April.
10% of 199.65 = 19.965; we deposit $19.96 in May (as we don't have an economical value worth a thousandth of a dollar in this problem).
10% of 219.61 = 21.961; we deposit $21.96 in June.
10% of 241.57 = 24.157; we deposit $24.15 in July.
10% of 265.72 = 26.572; we deposit $26.57 in August.
Our total value is $292.29, although if we added the thousandths, we'd have $292.31; therefore your answer is going to be D.) $292.31
I hope this helps!
Recall:
The
tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :
.
Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.
(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)
Similarly,
.
The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.
Now the sides of the right triangle are complete.
Answer: A
