What is 8 plus 90 degrees

2. Find two equivalent ratios of the following ratios: a) 27 : 9 b) 7 : 35

Luda [366]

Answer:

see explanation

Step-by-step explanation:

Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.

27 : 9 ( divide both parts by 9 )

= 3 : 1

(b)

7 : 35 ( divide both parts by 7 )

= 1 : 5

6 0

2 years ago

Please help me! Given triangle ABC with A(-4,-2), B(4,4), and C(18,-8) write the equation of the line containing the altitude th

Kobotan [32]

ALTITUDE
the altitude is the height of the traignel

if we graph the points, we get some lopsided triangle
so we know the altitude is peerpendicular to the base
so find the line that is perpendicular to the line tha passes through A and C

so first fid the line that passes through (-4,-2) and (18,-8)
slope=(y2-y1)/(x2-x1)
slope=(-8-(-2))/(18-(-4))=(-8+2)/(18+4)=-6/22
perpendicular lines have slopes the multipy to -1
-6/22 times what=-1
times both sides by -22/6
wat=22/6
that is the slope of the line that is the altitude

we have to use point slope form
the equation of a line that passes through (x1,y1) and has sloe of m is
y-y1=m(x-x1)
so passes through B (4,4) and has slope of 22/6
y-4=22/6(x-4)
y-4=22/6x-44/3
y=(22/6)x-32/3
that is the altitude

MEDIAN
the media is the line joining the midpoint of one side to the vertex of the other
so we need to find the line that passes through the midpoint of AB and through the point C
midpoint of (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
so
midopint of (-4,-2) and (4,4) is
((-4+4)/2,(-2+4)/2)=(0/2,2/2)=(0,1)

so we just find the line that passes through (0,1) and (18,-8)
slope iis (-8-1)/(18-0)=-9/18=-1/2
a point is (0,1) and sloe si -1/2
y-1=-1/2(x-0)
y-1=1/2x
y=(1/2)x+1

ALTITUDE
y=(-6/22)x

MEDIAN:
y=(1/2)x+1

5 0

3 years ago

Four Questions, 60 points & Brainliest! (Please show all steps)

pogonyaev

Answer:

a) -2, 1 and 2

b) 4

Step-by-step explanation:

The given equation is:

g(x) = (x + 2)(x - 1)(x - 2)

Part a1 and a2) Finding zeros of the function

By zeroes of the function we mean the points the graph where the value of the function is zero. In order to find the zeroes of the function we equate the function equation to zero and find the corresponding values of x. This is shown below:

0 = (x + 2)(x - 1)(x - 2)

According to the zero product property, we can write:

x + 2 = 0 ⇒ x = -2

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

Therefore, the zeroes of the given function are -2, 1 and 2. In ordered pairs we can write these as (-2, 0), (1, 0) and (2, 0)

Part b1 and b2) y-intercept of the function

y-intercept is the point on the graph where the function crosses the y-axis. Since on y-axis, the value of x coordinate is zero, in order to find the y-intercept we simply substitute zero for all occurrences of x. This is shown below:

g(0) = (0 + 2)(0 - 1)(0 - 2)

g(0) = 2(-1)(-2)

g(0) = 4

Thus, the y-intercept of the function is 4, which in ordered pair can be written as (0, 4)

Part c) End behavior of the graph

End behavior of the graph depends on:

Sign of the leading coefficient
Degree of the function

Degree of the function is 3 i.e. odd and sign of leading coefficient is positive. This means the end behavior of the graph will be:

Rising towards Right end
Falling towards Left end

Part d) Graph of polynomial

Based on all the above discussion, a graph of the function can be plotted. The graph is attached below.

4 0

3 years ago

You measure 33 backpacks' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 12

saul85 [17]

Answer:

$E=3.4363$

Step-by-step explanation:

#Given a significance level of $\alpha=1-CI=1-0.90=0.1$ and

$\bar x=36, \ \sigma=12.1 \ n=41,$ the critical value is, $z_\alpha_/_2=z_\alpha_/_0_._0_5=1.645$

#the margin of error can then be calculated as:

$E=z_\alpha_/_2\times\frac{\sigma}{\sqrt n}=1.645\times \frac{12.1}{\sqrt 33}\\\approx 3.4363$

Hence the margin of error is 3.4363

8 0

3 years ago

Select the correct answer.

tigry1 [53]

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .