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3 years ago

What is the value of t in the equation 3(2t + 5) = 5t +25

Mathematics

1 answer:

zmey [24]3 years ago

7 0

Distribute 3
6t+15=5t+25
subtract 5t from 6t
t+15=25
subtract 15 from both sides
t=10

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Please I need help on this

vampirchik [111]

Answer:

53.13

Step-by-step explanation:

To find the measure of an angle use an inverse trig function.

$Sin A = \frac{4}{5}$ so you can take the inverse to find A $sin^{-1}\frac{4}{5} = A$ .

Use a calculator to calculate the value.

A = 53.13

4 0

3 years ago

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?. . A.a number line with

r-ruslan [8.4K]

We are given compound inequality 4p + 1 > −7 or 6p + 3 < 33.

Let us solve each of the inequality one by one.

4p + 1 > −7

Subtracting 1 from both sides, we get

4p + 1-1 > -7-1

4p > -8

Dividing both sides by 4, we get

p > -2. <em> (Shading right side for greater than sign)</em>

Solving 6p + 3 < 33.

Subtracting 3 from both sides, we get

6p + 3-3 < 33-3.

6p < 30

Dividing both sides by 6, we get

p < 5. <em> (Shading left for less than sign)</em>

<em>We have less than and greater than symbols in both inequalities, therefore we would have open circles(dots) on -2 and 5.</em>

And because we have "OR" composite inequality.

<em>So, we would take the combination of both shaded portion.</em>

<h3>Therefore, correct option is C.number line with shading everywhere.. </h3>

4 0

4 years ago

Mai bank account is overdrawn by $125 which means her balance is negative 125 she gets $85 for her birthday and deposit into her

stira [4]

The answer is -125+85= -40 because she is adding -125 by 85 which equals-40

4 0

3 years ago

Write and solve a system of equations to find the value of each variable

ozzi

Answer:

Step-by-step explanation:

2x+5y=12

3x+4y=11

---------------

3(2x+5y)=3(12)

-2(3x+4y)=-2(11)

-----------------------

6x+15y=36

-6x-8y=-22

-----------------

7y=14

y=14/7=2

2x+5(2)=12

2x+10=12

2x=12-10=2

x=2/2=1

x=1, y=2. (1, 2)

---------------------

I just provided you an example of a system of equations and I already solved it for you.

3 0

3 years ago

Find all values of the angle θ (in radians, with 0 ≤ θ < 2π) for which the matrix a = cos θ −sin θ sin θ cos θ has real eigen

harina [27]

The matrix

$A=\begin{bmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{bmatrix}$

has eigenvalues $\lambda$ such that

$\det(A-\lambda I)=\begin{vmatrix}\cos\theta-\lambda&-\sin\theta\\\sin\theta&\cos\theta-\lambda\end{vmatrix}=0$

$(\cos\theta-\lambda)^2+\sin^2\theta=0$

$(\cos\theta-\lambda)^2=-\sin^2\theta$

$\cos\theta-\lambda=\pm\sqrt{-\sin^2\theta}$

$\lambda=\cos\theta\pm\sqrt{-\sin^2\theta}$

$\sin^2\theta\ge0$ for all values of $\theta$ , so we need to have $\sin\theta=0$ in order for $\lambda$ to be real-valued. This happens for

$\sin\theta=0\implies\theta=n\pi$

where $n$ is any integer, and over the given interval we have $\theta=0$ and $\theta=\pi$ .

4 0

3 years ago