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3 years ago

Please help me with the questions

Mathematics

1 answer:

Tcecarenko [31]3 years ago

5 0

Step-by-step explanation:

Since, diagonal of a parallelogram bisects it in two triangles of same area.

Hence, area of parallelogram ABCD will be twice the area of triangle ABD.

$area \: of \: { \parallel}^{gm} \: ABCD \\ = 2 \times A(\triangle ABD) \\ = 2 \times 40 \\ = 80 \: {m}^{2}$

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Rewrite 34 = 81 in logarithmic form.

Anna35 [415]

Answer:

$log_3(81) = 4$

Step-by-step explanation:

Given

$3^4 = 81$

Required

Rewrite in logarithmic form

We start by taking log of both sides

$3^4 = 81$

$log3^4 = log81$

From laws of logarithm;

$loga^b = b\log(a)$

So; $log3^4 = log81$ becomes

$4log3 = log81$

Divide both sided by log3

$\frac{4log3}{log3} = \frac{log81}{log3}$

$4 = \frac{log81}{log3}$

From laws of logarithm;

$\frac{loga}{logb} = log{_b}(a)$

So;

$4 = \frac{log81}{log3}$ becomes

$4 = log_3(81)$

$log_3(81) = 4$

Hence, $3^4 = 81$ in logarithm form is $log_3(81) = 4$

7 0

3 years ago

This puzzle is to take an odd digit and use it

djverab [1.8K]

Answer:

blah 23 =67=43

Step-by-step explanation:

7 0

3 years ago

With regard to a regression-based forecast, the standard error of the estimate gives a measure of A. the variability around the

Travka [436]

Answer:

B. the variability around the regression line.

Step-by-step explanation:

The standard errors represents the distance (how sparse) the observed values fall from the regression line.

Standard errors for regression are measures of the spread of variables around the average (regression line)

The standard error is dependent on the standard deviation of the observations and the reliability of the test.

When the test is perfectly reliable, the standard error is zero and when unreliable, it is equal to the standard deviation of the observations.

8 0

3 years ago

What is the slope of the line represented by the points in the table shown below?

Finger [1]

Answer: Slope of the line formed by the data is -3.

m=-3 for y=mx+b.

Step-by-step explanation: The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line. I'll pick 2 points: (-4,17) and (9,-22). Any two points will work, if it is a straight line. For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y. x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.

The rise(y) over the run(x) for these points is thus (-39/13) = -3

The slope is -3

5 0

3 years ago

2. Shannon wants to build a regular pentagonal sun deck. She is going to

dalvyx [7]

Answer:

oops sorry didn't mean to post

8 0

3 years ago