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## The measure of in degrees, is approximately 34.38 side lengths are 4, 5.3 ,and 7

Draw the triangle as shown in the figure below.
a=5.3, b=7, c=4.

The smallest angle is ∠C because it is opposite the shortest length of 4.
From the Law of Cosines,
c² = a² + b² – 2ab cosC
or
cos C = (a² + b² – c²)/(2ab)
= (5.3² + 7² – 4²)/(2*5.3*7)
= 0.823

∠C = arcos(0.823) = 34.58°
This answer agrees reasonably with 34.38°

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## In science class, Savannah measures the temperature of a liquid to be 34 celsius. Her teacher wants her to the temp to degrees fahrenheit.What is the temp of Savannahs liquid to the nearest degree fahrenheit?

In science class, Savannah measures the temperature of a liquid to be 34 celsius. Her teacher wants her to the temp to degrees fahrenheit.What is the temp of Savannahs liquid to the nearest degree fahrenheit?

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## Whats the only place in this world whos fahrenheit and celsius degrees can be equal?

Whats the only place in this world whos fahrenheit and celsius degrees can be equal?

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## Trevor is pulling his younger brother in a wagon. He pulls the wagon 50 m to the corner with a force that is a parallel with the ground. He then turns the wagon around and pulls it 50 m back to the starting point with the same force at an angle of 30 degrees with respect to the ground. How does the amount of work Trevor performs going to the corner compare with the amount of work he performs coming back? A) they are the same because he uses the same amount of force B) they are the same because he travels the same distance C) he does less work coming back because the force moving the wagon is only 50cos30 D)he does more work coming back because the force moving the wagon is only 50cos60

Work has the greatest value when the force done is
parallel to the direction of motion. In this case, the work done in pulling the
wagon to the corner is greater than the amount of work done in pulling the
wagon back to the starting point. This is because an angle of 30 degrees is
applied when pulling it back. The formula for work when angle is applied is:

Wx = W cos θ

Where in this case, θ = 30

Therefore,
the answer to this is letter:

C) he does less work coming back because the force moving
the wagon is only 50cos30

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## In the story “To Build a Fire,” what information did the man ignore? Even though the creeks freeze solid, liquid water exists near springs. Always make camp and build a fire while there is still daylight. Always take along survival gear and wear protective clothing. No one must travel alone in the Klondike after fifty degrees below zero.

No one must travel alone in the Klondike after fifty degrees below zero. I would say this is the main lesson to learn about this Jack London story which shows that nature can be cruel and unforgiving and at 50 degrees below zero it is nothing to fool with. If there are two people, one can help the other and warn say of snow which may fall down and douse the fire and also both can have matches to start a fire and they can discuss the best course of action in any situation which presents itself such as trusting the ice not to break over a creek for example.

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## A pair of parallel lines is cut by a transversal: A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 20 degrees on the other. What is the measure of angle x?

A pair of parallel lines is cut by a transversal: A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 20 degrees on the other. What is the measure of angle x?

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## Convert 68 degrees f to celsius

Convert 68 degrees f to celsius

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## According to this diagram what is tan 67 It's a right triangle facing left. hypotenuse: 13 opposite:5 adjacent: 12 The angle to the far left is 23 degrees, the one to the far right at the bottom is 90, and the one on the top is 67. options: 12, 5/13, 12/13, 5/12, 13/5, 13/12 Please explain. Thanks so much

According to this diagram what is tan 67 It’s a right triangle facing left. hypotenuse: 13 opposite:5 adjacent: 12 The angle to the far left is 23 degrees, the one to the far right at the bottom is 90, and the one on the top is 67. options: 12, 5/13, 12/13, 5/12, 13/5, 13/12 Please explain. Thanks so much

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## From the top of the CN Tower, the angle of depression to to tip of the towers shadow is 88 degrees. The shadow is 19.5m long

From the top of the CN Tower, the angle of depression to to tip of the towers shadow is 88 degrees. The shadow is 19.5m long

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The answer to your question would be that the sentence that correctly shows where a semicolon is needed in the sentence is the following one: All astronauts had master’s or doctorate degrees, but only two were jet pilots; consequently, the astronauts with no flight experience had to complete one year of flight training.

Explanation:

The sentence above contains the conjunctive adverb consequently. You should always use a period or semicolon before the conjunctive adverb when separating two independent clauses. That is why the last sentence is the one that is correctly punctuated.

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## A circle has a radius of 9 m. Find the lengths s of the arc intercepted by a central angle of 18 degrees.

A circle has a radius of 9 m. Find the lengths s of the arc intercepted by a central angle of 18 degrees.

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## What is the minimum number of degrees that a square can be rotated before it carries onto itself?

Since a square is a parallelogram with 4 equal sides, therefore
it only requires a 90 degree rotation before it carries onto itself. A full
rotation is equivalent to 360 degrees, since it has 4 equal sides,

Minimum degrees = 360 degrees / 4

Minimum degrees = 90 degrees

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## 5 degrees south latitude (23.5o s) is called

The correct answer is – Spanish.

The Caribbean, Central American, and South American regions, are in general Spanish speaking regions. This is due to the Spanish influence for few centuries, when the Spanish had colonized these areas, and made their language as official language.

Also, the mixing of the people, and the assimilation policies, contributed that the Spanish language becomes the first language in most of the countries in this part of the world.

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## The measures of two angles of a triangle are 35 degrees and 45 degrees. what is the measure of the third angle in the triangle.

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3. 14 for pi and round your answer to the nearest hundredth

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## Which expression converts pi/4 radian to degrees?

Which expression converts pi/4 radian to degrees?

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## The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6. The estimated value of is 3.14. The measure of the angle subtended by the arc is __ degrees

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## There exists a similarity transformation that maps ΔABC to ΔA′B′C′. The measure of angle A is 68°, and the measure of angle B is 46°. What is the measure of angle C in degrees?

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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## Suppose you dissolved 0.123 gram of pentane in 2.493 grams of p-xylene and measured a freezing point depression of 2.88 degrees celcius for the solution. Calculate the molar mass of pentane using this data and the value for Kf that you calculated in question 1 I got .829 mol/kg for question 1

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## Convert 64.32° into degrees, minutes, and seconds.

Convert 64.32° into degrees, minutes, and seconds.

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## Which triangle has all three angles measuring less than 90 degrees

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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## What is the average kinetic energy of 1 mole of a gas at -32 degrees Celsius? (R = 8.314 J/K-mol) 3.006 x 103 J -3.997 x 102 J 6.010 x 103J 4.321 x 103 J

What is the average kinetic energy of 1 mole of a gas at -32 degrees Celsius? (R = 8.314 J/K-mol) 3.006 x 103 J -3.997 x 102 J 6.010 x 103J 4.321 x 103 J

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## If p(-3,6) is a point on trapezoid what is the new location of P if the shape is rotated 90 degrees clock wise

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## The measure of , in degrees, is approximately 48.8. True or false

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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