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Gennadij [26K]
3 years ago
11

CALCULATE THE VALUE OF X IN THE FOLLOWING DIAGRAM.​

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

tan(55.3)  =  \frac{ac}{10.5}

ac=

10.5 \tan(55.3)

x = 10.5 \tan(55.3)  - 10.5

x = 4.67(2dp)

ac

You might be interested in
What does 5/4x = 1/2
aleksklad [387]
You would multiply 4 on both sides
5x=2
then you would divide 5 on both sides
x=2/5
7 0
3 years ago
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
Ksju [112]

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

5 0
3 years ago
What is the rate of change between (-3.7, 1.4) and (-3.5,1)?
Anarel [89]

Answer:

-2

Step-by-step explanation:

the rate of change or slope (M) is -2

Hope this helps:P

6 0
2 years ago
What is the coefficient of the second term of the trinomial?​
Lyrx [107]

Answer:

The coefficient of the 2nd term of trinomial is 18.

Step-by-step explanation:

You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :

(3x+3)² = (3x)² + 2(3x)(3) + 3²

= 9a² + 18a + 9

OR

You can expand it by doing step by step :

(3x+3)² = (3x+3)(3x+3)

= 3x(3x) + 3x(3) + 3(3x) + 3(3)

= 9x² + 9x + 9x + 9

= 9x² + 18x + 9

7 0
3 years ago
A researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether th
ki77a [65]

Answer:

(a) A matched pair design is used to perform the test.

(b) Each sample is of size 30.

(c) The null hypothesis is rejected.

(d) The effect size of the test is medium.

Step-by-step explanation:

A statistical experiment is performed to determine whether the amount of time (in minutes) that parent-child pairs spend on social networking sites to test show any generational differences.

<u>Given</u>:

MD = -42 minutes

t₍₂₉₎ = 4.021

p < 0.05

d = 0.49

The hypothesis is:

<em>H₀</em>: There is no difference between the means, i.e. <em>μ₁</em> = <em>μ₂</em>.

<em>Hₐ</em>: There is a significant difference between the means, i.e. <em>μ₁</em> ≠ <em>μ₂</em>.

(a)

A matched pair design is used to perform the test.

In a matched pair design the participant of the two groups are related in some way. For example, the same sample is tested before and after applying the treatment.

In this case the matched are pairs are of children and their parents. And the treatment is the amount of time spent on social networking sites.

(b)

The degrees of freedom of a matched pair design is:

df = n - 1

29 = n - 1

n = 29 + 1

n = 30

Thus, each sample is of size 30.

(c)

The <em>p</em>-value of the test statistic is < 0.05.

If the <em>p</em>-value is less than the significance level <em>α </em>(say, 0.05) then the null hypothesis is rejected and vise-versa.

Since <em>p</em> < 0.05 the null hypothesis is rejected concluding that there is a significant difference between the amount of time spent on social networking sites by parents and children.

(d)

The estimated value of Cohen's d is, <em>d</em> = 0.49.

A Cohen's d value between the range 0.50 to 0.80 is considered as medium.

Thus, the effect size of the test is medium.

3 0
3 years ago
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