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labwork [276]
3 years ago
8

Find the solution: 2x=(360/4)

Mathematics
1 answer:
suter [353]3 years ago
6 0
The correct answer for this question is "45."

Based from the equation that is shown
2x = (360 / 4)

First, we need to simplify 360 / 4 (if it can be simplified).
So we get,

2x = 90

Then, Multiply both sides by (1/2) leaving x behind.
(1/2) * 2x = (1/2) * 90
x = 45

so the value of x is 45.
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What is the missing constant term in the perfect square that starts with x^2+2x?
Natasha_Volkova [10]

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square

4 0
3 years ago
Solve for g.<br> -3+5+6g=11-3g−3+5+6g=11−3g
PtichkaEL [24]

Answer: \mathrm{No\:Solution}

Step-by-step explanation:

\begin{bmatrix}-3+5+6g=1\\ 1-3g+5+6g=11-3g\end{bmatrix}

\begin{bmatrix}1-3\left(-\frac{1}{6}\right)+5+6\left(-\frac{1}{6}\right)=11-3\left(-\frac{1}{6}\right)\end{bmatrix}

\begin{bmatrix}\frac{11}{2}=\frac{23}{2}\end{bmatrix}

\frac{11}{2}=\frac{23}{2}\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

4 0
3 years ago
According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean
mrs_skeptik [129]

Answer:

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean

The minimum value that is within 3 standard deviations of the mean is 96.57.

The maximum value that is within 3 standard deviations of the mean is 100.11.

Step-by-step explanation:

Chebyshev's theorem states that a minimum of 89% of the values lie within 3 standard deviation of the mean.

So

Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the​ mean?

There are 89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean.

What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the​ mean?

We have that the mean \mu is 98.34 and the standard deviation \sigma is 0.59. So:

Minimum

Mi = \mu - 3\sigma = 98.34 - 3(0.59) = 96.57

Maximum

Ma = \mu + 3\sigma = 98.34 + 3(0.59) = 100.11

8 0
3 years ago
Need help with problem, been stuck on it for a while
Alinara [238K]
Well, if you look at the picture, the "radius" is 1/4, so r = 1/4.

\bf \textit{diameter of a circle}\\\\&#10;d= 2r\qquad \boxed{r=\frac{1}{4}}\implies d=2\cdot \cfrac{1}{4}\implies d=\cfrac{1}{2}\\\\&#10;-------------------------------\\\\&#10;\textit{circumference of a circle}\\\\&#10;C=2\pi r\qquad \boxed{r=\frac{1}{4}~,~\pi =\cfrac{22}{7}}\implies C=2\left( \frac{22}{7} \right)\left( \frac{1}{4} \right)&#10;\\\\\\&#10;C=\cfrac{2\cdot 22\cdot 1}{7\cdot 4}\implies C=\cfrac{11}{7}\\\\&#10;-------------------------------\\\\

\bf \textit{area of a circle}\\\\&#10;A=\pi r^2\qquad \boxed{r=\frac{1}{4}~,~\pi =\cfrac{22}{7}}\implies A=\left( \frac{22}{7} \right)\left( \frac{1}{4} \right)^2&#10;\\\\\\&#10;A=\cfrac{22}{7}\cdot \cfrac{1^2}{4^2}\implies A=\cfrac{22}{7}\cdot \cfrac{1}{16}\implies A=\cfrac{11}{56}
8 0
4 years ago
Solve the equation for a k=4a
nata0808 [166]

Answer: a = \frac{K}{4+9b}

Step-by-step explanation:

Rewrite the equation as  4a + 9ab=K

Factor out a of 4a + 9b

a (4 + 9b) = K

divide each term by 4 + 9b and simplify

=\frac{K}{4+9b}

7 0
3 years ago
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