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3 years ago

Find the tangents of the acute angles in the right triangle. Write each answer as a fraction,

Mathematics

1 answer:

julia-pushkina [17]3 years ago

7 0

Answer:

Following are the solution to these question:

Step-by-step explanation:

Please find the complete question in the attachment file.

Formula:

$\to \tan \theta= \frac{Perpendicular}{Base}$

$\to \tan R = \frac{45}{28} \\\\ \to \tan S = \frac{28}{45}$

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−9,000÷3=−3,000 What does -3,000 tell me

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

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3 years ago

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?

notsponge [240]

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

6 0

2 years ago

Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the

Julli [10]

Answer:

a) $z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

b) $p_v =2*P(z$

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

$\bar X_{1}= 104$ represent the mean for 1

$\bar X_{2}= 106$ represent the mean for 2

$\sigma_{1}= 8.4$ represent the population standard deviation for 1

$\sigma_{2}= 7.6$ represent the population standard deviation for 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0: $\mu_{1}=\mu_{2}$

H1: $\mu_{1} \neq \mu_{2}$

The statistic would be given by:

$z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=$ (1)

Part a

Replacing we got:

$z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

Part b

The p value would be given by this probability:

$p_v =2*P(z$

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

6 0

3 years ago

Suppose you have a coupon for a 20% discount. You buy a game that costs $38. The sales tax rate is 5.5%. Sales tax applies to th

Soloha48 [4]

$32.072 ≈ $32.07
20% of $38 is equal to $7.60
$38 - $7.60 = $30.40
5.5% of $30.40 = 1.672
$30.40 + $1.672 = $32.072

5 0

3 years ago

A tree casts shadow 26 ft long. A 3 ft tall flowers casts a shadow 4 ft long. How tall is the tree?

Rufina [12.5K]

Answer:

19. 5 feets

Step-by-step explanation:

Shadow of tree = 26 feets

Height of flower = 3 feets

Shadow of flower = 4 feets

Height of sun Innthe sky:

Shadow of flower / height of flower

= 4/3 = 1.333333

Height of tree:

Shadow of tree / height of sun

26 feets / 1.33333

= 19.5 feets

Hence, height of tree = 19.5 feets

5 0

3 years ago