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mrs_skeptik [129]

2 years ago

11

Ali invited 18 adults and 6 children. Mo,Ali’s best friend,suggested that Ali seat an equal number of adults and an equal number

of children at each table.What is the greatest amount of tables Ali could use? How many adults and children would be seated at each table?

1 answer:

gayaneshka [121]2 years ago

5 0

4 tables because the total amount of people is 24 and if you divide by 6 you get 4 so the greatest amount of tables is 4. There will be 6 adults and 1 kid at each table

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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3

viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

$\triangle ABC$ represents the 1st angle of elevation of sun i.e. 58°

$\triangle ABD$ represents the 2nd angle of elevation of sun i.e. 36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = $h$ m

Let side BC = $x$ m

Now, let us apply tangent rules in $\triangle ABC, \triangle ABD$ one by one:

$tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)$

$tan36^\circ = \dfrac{h}{x+90}$

Putting value of $x$ using equation (1):

$tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}$

119.45 m is the height of pole.

7 0

2 years ago

The number of gallons of gas that were in the tank minus 9 leaves 3 gallons

erastovalidia [21]

<h3>Hey!</h3>

<em><u>To solve the missing number of the original amount of gallons that were in the tank is simply by adding the two numbers we have: </u></em>

<em><u></u></em>

9+3= 12 gallons

<u><em>To make sure 12 was the original number, subtract 12 from 9. </em></u>

<u><em /></u>

<u><em>12-9= 3 gallons </em></u>

So your answer to your question is 12 gallons!

Hope this helped! °ω°

7 0

2 years ago

Read 2 more answers

Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

1 year ago

What is the product of the 6th square number and the 2nd square number

Masja [62]

Answer:

42

Step-by-step explanation:

You can find the product of two numbers by adding them. The question says what is the product of the 6th and 2nd square numbers. The first ten square numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 so the second square number is 4 and the 6th square number is 36 and 36 + 4 is 42. Hope this helped! Stay safe!

4 0

2 years ago

If RB = 4 and OR = 3, then OB = 5 7 2√3

pogonyaev

The complete question in the attached figure

we know that

triangle OBR is a right triangle
so
<span>applying the Pythagorean theorem

</span>OB²=OR²+RB²----> OB²=3²+4²-----> 25
OB=√25-----> OB=5 units

the answer is
OB=5 units

5 0

2 years ago

Read 2 more answers