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1 year ago

Solve for a,

Mathematics

2 answers:

PolarNik [594]1 year ago

4 0

Answer:

a = -7 should be it

bixtya [17]1 year ago

3 0

<h2>Questions :- solve for a </h2>

<h3>Equation :- a +(-5) = (-12) </h3>

<h2>Answer:- </h2>

$a + ( - 5) = ( - 12) \\ a = - 12 + 5 \\ a = - 7$

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Find the value of y.

AlladinOne [14]

Answer:

$y=16$

Step-by-step explanation:

The triangle shown is a 30-60-90 triangle. In a 30-60-90 triangle, the shortest leg equals $x$ , the hypotenuse equals $2x$ , and the longest leg equals $x\sqrt{3}$ .

We are given that the shortest leg equals $8$ , and we are solving for the hypotenuse length. If we apply the relationship that the hypotenuse is twice the length of the shortest leg, we get:

$y=2x$

$y=2(8)$

$y=16$

Hope this helps!

8 0

2 years ago

Find the general solution of<br><br> dz/dt=5ze^(sint)cost+2e^(sint)cost

gizmo_the_mogwai [7]

Answer:

The general solution of given differential equation is $\frac{1}{5}ln|5z+2|=e^{\sin t}+C$ .

Step-by-step explanation:

The given differential equation is

$\frac{dz}{dt}=5ze^{\sin t}\cos t+2e^{\sin t}\cos t$

Taking out common factors.

$\frac{dz}{dt}=(5z+2)e^{\sin t}\cos t$

Using variable separable method, we get

$\frac{dz}{5z+2}=e^{\sin t}\cos t dt$

Integrate both sides.

$\int\frac{dz}{5z+2}=\int e^{\sin t}\cos t dt$

$I_1=I_2$ .... (1)

First solve LHS,

$I_1=\int\frac{dz}{5z+2}$

Substitute $5z+2=u$

$5\frac{dz}{du}=1$

$dz=\frac{1}{5}du$

$I_1=\frac{1}{5}\int\frac{du}{u}$

$I_1=\frac{1}{5}ln|u|+C_1$

$I_1=\frac{1}{5}ln|5z+2|+C_1$

Now, solve RHS,

$I_2=\int e^{\sin t}\cos t dt$

Substitute $\sin t=v$ ,

$\cos t\frac{dt}{dv}=1$

$\cos tdt=dv$

$I_2=\int e^{v}dv$

$I_2=e^{v}+C_2$

$I_2=e^{\sin t}+C_2$

Subtitle the values of I₁ and I₂ in equation (1).

$\frac{1}{5}ln|5z+2|+C_1=e^{\sin t}+C_2$

$\frac{1}{5}ln|5z+2|=e^{\sin t}+C_2-C_1$

$\frac{1}{5}ln|5z+2|=e^{\sin t}+C$

Therefore the general solution of given differential equation is $\frac{1}{5}ln|5z+2|=e^{\sin t}+C$ .

4 0

3 years ago

The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease

Likurg_2 [28]

<h3>Answer: 25% decrease</h3>

=======================================================

Work Shown:

A = old value = 360

B = new value = 270

C = percent change

C = (B-A)/A

C = (270-360)/360

C = -90/360

C = -0.25

C = -25%

The negative C value indicates we have a percent decrease.

Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.

4 0

3 years ago

Which statement best compares a line and a point ?

jenyasd209 [6]

Hey there!

The answer for your problem is: a line is a set of 2 or more points in a plane

a point is a specific location in a plane

Let me know if you'd like me to explain how I got this answer!

6 0

3 years ago

13/4% as fraction and decimal

nexus9112 [7]

Decimal: 3.25

Fraction: 13/4

4 0

3 years ago