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3 years ago

Please help me out if you can!!

Mathematics

2 answers:

Verdich [7]3 years ago

7 0

Answer:

x = 4°

Step-by-step explanation:

18x + 5 = 46 + (-1 + 8x) theory of exterior angles of a triangle

18x + 5 = 46 - 1 + 8x

10x + 5 = 46 - 1

10x + 5 = 45

10x = 40

x = 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

klio [65]3 years ago

7 0

Answer:

18x+5=46+(-1+8x){Exterior Angle Property}

18x+5=46-1+8x

18x+5=45+8x

18x-8x=45-5

10x=40

x=4

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Bigideasmath.

ratelena [41]

The total number of calories for 18 cups of milk is 1620 calories.
If two cups of milk is 180 calories then divide 180/2 to find the unit rate.
Then multiply 90 by the number of cups (18) and then you get the total number of calories for that many drinks.

6 0

3 years ago

Can someone please tell me if this is correct if it’s not can u tell me what’s the correct answer

bearhunter [10]

Answer:

2. option D and 3. option A

Step-by-step explanation:

2. 7 + y = 30

7 - 7 + y = 30 - 7

y = 23

3. w - 32 = 55

w - 32 + 32 = 55 - 32

w = 87

Basically the answers you choose are right. Hope this helps, thank you :) !!

8 0

3 years ago

Sin^2(x/2)=sin^2x Find the value of x

Veronika [31]

$\sin^2\dfrac x2=\sin^2x$
$\dfrac{1-\cos x}2=1-\cos^2x$
$1-\cos x=2-2\cos^2x$
$2\cos^2x-\cos x-1=0$
$(2\cos x+1)(\cos x-1)=0$
$\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}$ $\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}$

The first case occurs in $0\le x$ for $x=\dfrac{2\pi}3$ and $x=\dfrac{4\pi}3$ . Extending the domain to account for all real $x$ , we have this happening for $x=\dfrac{2\pi}3+2n\pi$ and $\dfrac{4\pi}3+2n\pi$ , where $n\in\mathbb Z$ .

The second case occurs in $0\le x$ when $x=0$ , and extending to all reals we have $x=2n\pi$ for $n\in\mathbb Z$ , i.e. any even multiple of $\pi$ .

6 0

3 years ago

Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br

Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0

3 years ago

87.6564 to DP Please help me, thanks

kirill115 [55]

1. DP , you mean decimal points?
87.6564 is already written in decimals points.
it is a combination of a whole number and a decimal points.
=> 87 is the whole number where 8 is tens and 7 is the ones.
=> 6564 is the decimal numbers where 6 next to the decimal point is tenths, 5 is hundredths, 6 is the thousandths and 4 is the ten thousandths.
When you round this number to its nearest tenths, it becomes 87.7

5 0

3 years ago