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3 years ago

In the diagram below, tan theta = sqrt3. What is the value of m?

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

Answer:

$m=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

we know that

The tangent of angle theta is equal to divide the opposite side angle theta by the adjacent side angle theta

$tan(\theta)=\frac{m}{(1/2)}=2m$

$tan(\theta)=\sqrt{3}$

$2m=\sqrt{3}$

$m=\frac{\sqrt{3}}{2}$

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PLEASE HEP ASAP!!!!!!! 30 POINTS!!!!!

anzhelika [568]

Answer:

a) 42°F < x < 176°F

b) The inequality graph is attached.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

Step-by-step explanation:

According to the Question,

a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:

42°F < x < 176°F

b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .

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2 years ago

A jar made of 3/16-inch-thick glass has an inside radius of 3.00 inches and a total height of 6.00 inches (including the bottom

Nady [450]

Answer:

a) 0.012ft³

b)2.09 lb

c)0.791 lb

d) 0.012ft³

e) 6 inches

Step-by-step explanation:

a) To determine the volume of the shell of the jar we must determine the volume of the hollow cylinder:

$V=3.1416\cdot{h}\cdot{(R^2-r^2)$

Where r is the inside radius and R the outer radius.

$V=3.1416\cdot{6}\cdot{(3.1875^2-3^2)=21.87$

convert to cubic ft:

$=21.87\cdot{0.0005787}=0.01266$

The volume of the glass shell is 0.012 ft³

b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

$M=p\cdot{v}=165\cdot{0.01266}=2.09$

The weight of the jar is 2.09 lb

c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

$=0.01266\cdot{62.5}=0.79$

0.791 lb of water will be displaced.

d) The volume of the water displaced is:

[tex]=0.791/62.5=0.01266

e) The jar will be fully submerged because the density of the jar is larger than water.

5 0

3 years ago

The independent-samples t testResearch Scenario: A forensic psychologist has developed a new program that teaches empathy and po

8_murik_8 [283]

Answer:

Step-by-step explanation:

Hello!

The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)

At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.

1) Using the records obtained for both groups, she intends to conduct an independent t-test to analyze her claim.

X₁: BES results of a youth offender treated with the new treatment.

X₂: BES results of a youth offender treated with the standard treatment.

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α:0.05

test statistic

$t_{H_0}= -0.32$

p-value: 0.7517

The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.

I hope this helps

(Box plot in attachment)