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mars1129 [50]
3 years ago
11

In this figure, mBDA=___ and mBCA=___. (fill in the blanks with degrees)

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0
MBOA=360-250=110, so mBDA= half of mBOA=55
mBCA=180-mBOA=180-110=70

mBDA=55 and mBCA=70

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How do you convert fractions to a specific base with exponents? Is there a specific way or equation for this? For example, i nee
Lilit [14]

Answer:

\frac{1}{2}  =  {2}^{ - 1}

Step-by-step explanation:

remember the property

{a}^{ - n}  =  \frac{1}{ {a}^{n} }

then u get equation with same base

8 0
3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
Which of the following is the discriminant of the polynomial below x^2+4x+5
steposvetlana [31]

Answer:

\huge\boxed{\sf Discriminant = -4}

Step-by-step explanation:

Comparing it with quadratic equation ax^2 + bx + c = 0, we get:

a = 1 . b = 4 and c = 5

So,

Discriminant = b^2-4ac

D = (4)²-4(1)(5)

D = 16 - 20

D = -4

Hence,

Discriminant = -4

\rule[225]{225}{2}

Hope this helped!

<h3 /><h3>~AH1807</h3>
4 0
3 years ago
18=30-r30 solve for r
trasher [3.6K]

Answer:

r =

Step-by-step explanation:

r=30√12,−30√12

3 0
3 years ago
Read 2 more answers
FIRST ANSWER GET BRAINLEST
liraira [26]

Let's call x the price of a box of slime.

Gianna spent 4 × $58 for art supplies so 4(58) + 8x all together.  We have

392 ≤  4(58) + 8x ≤ 472

We can work with both inequalities at once.  4(58)=232 so we subtract that from all three sides.

160 ≤ 8x ≤ 240

Divide all three sides by 8, a positive number so the inequalities don't flip.

20 ≤ x ≤ 30

Answer: Least: $20, Most: $30


5 0
4 years ago
Read 2 more answers
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