Could someone help me understand this?

Could Someone Help Me Understand This?

Answers

Answer 1

Answer: the correct answer is D.

Step-by-step explanation:

Since we are given the values of angle B and side(a) we can set up an equation cos43.2=3.2/x

we will get 4.4 so c=4.4

using the paythagorion theorm (4.4)^2=x^2+(3.2)^2

we will get an approximate value of 3 so b=3

and for the finding the third angle x+43.2+90=180

x=46.8 degrees

Answer D


Related Questions

Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A: The triangle in question is not a right triangle. B: The triangle in question may or may not be a right triangle. C: The triangle in question is a right triangle.

Answers

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

If the triangle is a right triangle, then the Pythagorean theorem would hold

a^2 + b^2 = c^2

3^2 + 4^2 = 6^2

9+16 = 36

25 = 36

This is not true so this is not a right triangle

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

We can use Pythagorean theorem to check.

a² + b² = c²

3² + 4² = 6²

9 + 16 = 36

25 = 36 (not true)

Drag each tile to the correct box.
Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27,
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B

Answers

Answer:

Sequence B, Sequence A, Sequence C

Step-by-step explanation:

Data obtained from the question include the following:

Sequence A: 160, 40, 10, 2.5,

Sequence B: -21, 63, -189, 567, ...

Sequence C: 8, 12, 18, 27

Next, we shall determine the common ratio of each sequence. This is illustrated below:

Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:

r = T2/T1 = T3/T2

For sequence A:

160, 40, 10, 2.5

2nd term (T2) = 40

Ist term (T1) = 160

Common ratio (r) =..?

r = T2/T1

r = 40/160

r = 1/4

r = 0.25

Therefore, the common ratio is 0.25.

For sequence B:

-21, 63, -189, 567

2nd term (T2) = 63

Ist term (T1) = -21

Common ratio (r) =..?

r = T2/T1

r = 63/-21

r = - 3

Therefore, the common ratio is - 3.

For Sequence C:

8, 12, 18, 27

2nd term (T2) = 12

Ist term (T1) = 8

Common ratio (r) =..?

r = T2/T1

r = 12/8

r = 3/2

r = 1.5

Therefore, the common ratio is 1.5.

Summary:

Sequence >>>>> Common ratio

A >>>>>>>>>>>>> 0.25

B >>>>>>>>>>>>> - 3

C >>>>>>>>>>>>> 1.5

From the above illustration,

Ordering the sequence from least to greatest common ratio, we have:

Sequence B, Sequence A, Sequence C.

Determine what type of quadrilateral ABCD is, given the following points. A(1,−1) B(7,1) C(8,−2) D(2,−4). 1.Parralellogram 2.rectangle 3.rhombus 4.square

Answers

Answer:

.

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

You graph them. From Point A to Point B it's rise 2 run 6 just like Point C to Point D. From Point D to Point A it's rise 3 run -1 just like Point C to Point B

Evaluate \dfrac32y-3+\dfrac53z 2 3 ​ y−3+ 3 5 ​ zstart fraction, 3, divided by, 2, end fraction, y, minus, 3, plus, start fraction, 5, divided by, 3, end fraction, z when y=6y=6y, equals, 6 and z=3z=3z, equals, 3.

Answers

Answer:

11

Step-by-step explanation:

Given:

3/2y - 3 + 5/3z

When

y=6

z=3

3/2y - 3 + 5/3z

Substitute the value of y and z

3/2(6) - 3 + 5/3(3)

=18/2 - 3 + 15/3

=9-3+5

=6+5

=11

Mikel gave a $1.32 tip for an order that cost $8.80. Determine whether or not each tip below is proportional to Mikel's tip. $2.22 tip for a $14.80 order $1.86 tip for a $10.50 order $0.78 tip for a $5.20 order

Answers

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

Mike's proportion

Michael gave $1.32 tip for an order that cost $8.80

$1.32÷$8.80=0.15

Given

1. $2.22 for $14.80

$2.22÷$14.80 =0.15

It is proportional to Mike's tip

2. $1.86 for $10.50

$1.86÷$10.50=0.1771

It I not proportional to Mike's tip

3. $0.78 for $5.20

$0.78÷$5.20=0.15

It is proportional to Mike's tip

Therefore,

1. Proportional

2. Not proportional

3. Proportional

Answer:

The first one is proportional

The second one is not proportional

The third one is proportional

Step-by-step explanation:

I just got it right on Khan

The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x)= 2^x. Determine the size of shift from function f to function g. Then plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function g. Table x 0 1 2 3 4 g(x) -11 -10 -8 -4 4

Answers

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

32 is an example of A. an algebraic equation B. a numerical expression C. a numerical equation D. an algebraic expression Reset

Answers

ayuda plis nosé donde estoy q Brainli es este

ayuda

Answer:

hmm I'm not sure but i think it's B. a numerical expression

Sowwy if this didn't help :c

Hawaii has an area of 1.1 x 104 square miles and a
population of 1.2 x 10% people.
Which key strokes on a calculator will give the population
density of Hawaii?

Answers

Answer:

A i think its a A try. it it that looks correct

Answer:

Its B, 1.2EE6/1.1EE4

Step-by-step explanation:

The density is 109.9, and this is the only equation that gives you this answer

i also took the test!

Find each difference.

(2x2-5x-7)-(7x2+3)

PLEASE HELP!!!

Answers

Answer: [tex]-5x^{2} -5x-10[/tex]

Step-by-step explanation:

[tex](2x^{2} -5x-7)-(7x^{2} +3)[/tex]  

subtract by terms.

2x^2 - 7x^2 = -5x^2  

-5x  is the only term so leave it alone

-7-3= -10

-5x^2 -5x -10

Answer:

-5x-48

Step-by-step explanation:

First, simplify the first half,

(2x2-5x-7) --> (4-5x-7) --> (-5x-7+4) --> (-5x-13)

Then, simplify the second half,

(7x2+3) --> (7x5) --> (35)

Finaly put them together

-5x-13-35, subtract like terms

-5x-48

This is the most simplifyed it can get because of the variable.

Hope this helps, if you have a question if you are confused,

Have a good day and if you can, please give me brainliest, it will help a lot. :)

If v1 = (2,5) and V2 = (4,-3), then the angle between the two vectors is
Round your answer to two decimal places,

Answers

Answer:

  105.07°

Step-by-step explanation:

The angle of v1 is ...

  arctan(5/2) ≈ 68.199°

The angle of v2 is ...

  arctan(-3/4) ≈ -38.870°

The angle difference between the two vectors is ...

  68.199° -(-38.870°) = 105.07°

Solve this problem. Reduce to lowest terms.
John worked in his garden for 4 3/4hours on Saturday and 2 1/2 hours on Sunday. How
many hours did he work in all?
0 6 hours
O 7 hours
4 hours
5 hours

Answers

4 3/4 + 2 1/2 = 4 3/4 + 2 2/4 = 6 5/4 = 7 1/4 = 6 hours and 15 minutes.

Can someone tell me the answer it would really help 3(x−2)+1 =

Answers

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

What is the simplified expression for
2^2 • 2^3 over
24
O 20
O 21
O 22
O 23

Answers

Answer:

(B)[tex]2^1[/tex]

Step-by-step explanation:

We are to simplify the given expression: [tex]\dfrac{2^2 \cdot 2^3}{2^4}[/tex]

Step 1: Apply the addition law of indices to simplify the numerator.

[tex]\text{Addition Law: }a^x \cdot a^y=a^{x+y}[/tex]

Therefore:

[tex]\dfrac{2^2 \cdot 2^3}{2^4} \\\\=\dfrac{2^{2+3}}{2^4}\\\\=\dfrac{2^5}{2^4}[/tex]

Step 2: Apply the Subtraction law of indices to simplify the expression

[tex]\text{Subtraction Law: }a^x \div a^y=a^{x-y}\\\\\implies \dfrac{2^5}{2^4} =2^{5-4}\\\\=2^1[/tex]

The correct option is B.

A television set costs $350 cash. When bought on hire purchse, a deposit of $35 is required, followed by 12 monthly payments of $30. How much is saved by paying cash?

Answers

Answer:

$45

Step-by-step explanation:

find the hire purchase price: 12 months x $30 = $360 + $35 deposit = $395

difference: 395 - 350 = $45

find the hire price: 12 months x $30 = $360+$35 deposit =$395

395 - 350 = $45

the value of a plot of land is $18000. Land tax charged at the rate of $0.70 per $100 value. What is the total amount of tax paid for land

Answers

Answer:

126 $

Step-by-step explanation:

1- 18000 / 100 = 180

2- 180 x 0.7 = 126$

The answer is $126!!

Plz help asap 10x^2+11x+3

Answers

Answer:(2x+1)(5x+3)

Step-by-step explanation:

Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video. A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)
a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
b. We are 90% confident that a randomly selected family who has viewed the video will use between 4.2 and 10.8 fewer gallons of water per day compared to a randomly selected family who has not viewed the video.
c. We know that 90% of families will use between 4.2 and 10.8 fewer gallons of water each day after viewing the conservation video.
d. We are 90% confident that a randomly selected family who has viewed the video will use between 4.2 and 10.8 more gallons of water per day compared to a randomly selected family who has not viewed the video.
e. Based on this sample, we are 90% confident that the average increase in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Answers

Answer:

a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Step-by-step explanation:

From the given information:

we learnt that :Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video.

A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)

Confidence interval  shows the range of values with the likelihood to contain a true population value with a certain degree of confidence. In confidence interval, a true population mean lies within the interval of a lower limit and upper limit.

From the given information; the lower limit is -10.8 and the upper limit is -4.82; based on this negative sign, it means they are both decreasing.

Therefore; we can conclude from the given option that :

Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Please help I am not sure how to solve this problem.

Answers

Answer:

Measure of arc TSU = 201°

Step-by-step explanation:

For the inscribed circle of  triangle XYZ, we have;

∠XZY = 21°

Segment TZ and segment  UZ are tangent to circle R

Therefore, ∠ZUR = ∠ZTR = 90° (angle formed by a tangent)

Length UR = Length TR = Radius of circle R

∴ ΔZTR ≅ ΔZUR Side Angle Side (SAS) rule of Congruency

∴ ∠RZT ≅ ∠RZU, (Congruent Parts of Congruent Triangles are Congruent, CPCTC)

∠XZY = ∠RZT + ∠RZU (Angle summation)

21° = ∠RZT + ∠RZU  = 2×∠RZU (Transitive property)

∠RZU = 21°/2 = 10.5° = ∠RZT

∴ ∠URZ = 180- 90 - 10.5 = 79.5° = ∠TRZ (CPCTC)

arc TU = ∠URT = ∠URZ + ∠TRZ = 79.5 + 79.5 = 159° (angle addition)

∴ Measure of arc TSU = 360° - 159° = 201° (Sum of angles at the center of the circle R)

Measure of arc TSU = 201°.

Please answer this question now

Answers

Answer:

[tex] Area = 400.4 m^2 [/tex]

Step-by-step Explanation:

Given:

∆UVW,

m < U = 33°

m < V = 113°

VW = u = 29 m

Required:

Area of ∆UVW

Solution:

Find side length UV using Law of Sines

[tex] \frac{u}{sin(U)} = \frac{w}{sin(W)} [/tex]

U = 33°

u = VW = 29 m

W = 180 - (33+113) = 34°

w = UV = ?

[tex] \frac{29}{sin(33)} = \frac{w}{sin(34)} [/tex]

Cross multiply

[tex] 29*sin(34) = w*sin(33) [/tex]

Divide both sides by sin(33) to make w the subject of formula

[tex] \frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)} [/tex]

[tex] \frac{29*sin(34)}{sin(33)} = w [/tex]

[tex] 29.77 = w [/tex]

[tex] UV = w = 30 m [/tex] (rounded to nearest whole number)

Find the area of ∆UVW using the formula,

[tex] area = \frac{1}{2}*u*w*sin(V) [/tex]

[tex] = \frac{1}{2}*29*30*sin(113) [/tex]

[tex] = \frac{29*30*sin(113)}{2} [/tex]

[tex] Area = 400.4 m^2 [/tex] (to nearest tenth).

54x^3y+ 81x^4y^2 factorise​

Answers

Answer:

I hope it helps you......

I don't understand this question! Please help me!!

Answers

Answer:

            262°

Step-by-step explanation:

[tex]m\angle OFB=m\angle OCB=90^o\\\\so\ from\ BCOF:\\\stackrel{\big{\frown}} {CDF} =m\angle COF=360^o-2\cdot90^o-82^o=98^o \\\\\\ \stackrel{\big{\frown}} {CGF} =360^o-\stackrel{\big{\frown}} {CDF} =360^o-98^o=262^o[/tex]

A college requires all freshmen to take Math and English courses. Records show that 24% receive an A in English course, while only 18% receive an A in Math course. Altogether, 35.7% of the students get an A in Math course or English course. What is the probability that a student who receives an A in Math course will also receive an A in English course

Answers

Answer:

7.3%

Step-by-step explanation:

Let M = Maths

E = English

P(M ∪ E) = P(M) + P(E) - P( M ∩ E)

From the question:

P(M ∪ E) = 35.7%

P(M) = 18%

P(E) = 24%

P( M ∩ E) = unknown

35.7% = 18% + 24% - P( M ∩ E)

35.7% = 42% - P( M ∩ E)

P( M ∩ E) = 42% - 35.7%

P( M ∩ E) = 7.3%

Therefore, the probability that a student who receives an A in Math course will also receive an A in English course is 7.3%.

Please answer in two minutes

Answers

Answer:

Toa

48/55

Step-by-step explanation:

O/A

48/55

What equation of the circle would center (-3.2 , -2.1 ) and radius 4.3 ? ( fast please I will give u brainlest)

Answers

Answer:

Look at the attached picture

Step-by-step explanation:

It is given that the center of the circle is (-3.2,2.1) and radius is 4.3.

Answer:

( x+3.2) ^2 + ( y+2.1) ^2 = 4.3^2

Step-by-step explanation:

We can write the equation of a circle as

( x-h) ^2 + ( y-k) ^2 = r^2

where ( h,k) is the center and r is the radius

( x- -3.2) ^2 + ( y--2.1) ^2 = 4.3^2

( x+3.2) ^2 + ( y+2.1) ^2 = 4.3^2

Please help, thanks :) (Question is attached below)

Answers

Answer:

Solution : Graph 4

Step-by-step explanation:

Let's break down this function,

{ y = 5 if x ≤ - 2, y = 0 if x = 3, y = - 1 if x > 3 }

As you can see, graph 4 is the only one that represents this.

• When y = 5, x  ≤ - 2. This is represented by a ray with a colored hole, indicating that x = - 2. At the same time this ray extends infinitely in the negative direction, indicating that x < - 2.

• When y = 0, x = 3. This is represented as the point ( 3, 0 ).

• And when y = - 1, x > 3. At y = - 1 another respective ray, that has a non - filled hole, indicates that x ≠ 3. The ray extends infinitely in the positive direction, meeting the criteria that x > 3.

Write the number in standard notation. 4.16 × (10) ^–5

Answers

Answer:

.0000416

Step-by-step explanation:

Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left

Answer:

0.0000416.

Step-by-step explanation:

When 10 is raised to a negative power, that means that the decimal point will be moved to the left a certain number of units.

In this case, it is 10^-5, so the decimal point will move to the left by 5 units.

4.16 * 10^-5 = 000004.16 * 10^-5 = 0.0000416.

Hope this helps!

what is 1/8 - 7/8 ? ( its a fraction)

Answers

Answer:

1/8-7/8= -3/4

Step-by-step explanation:

1/8-7/8 is just like 7/8-1/8 but is the opposite

7/8-1/8=6/8 or 3/4

1/8+6/8=7/8

1/8-1/8=0

0-6/8= -6/8 or -3/4

Please answer it now in two minutes

Answers

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

[tex] sin X = \frac{6}{7} [/tex]

[tex] sin X = 0.8571 [/tex]

[tex] X = sin^{-1}(0.8571) [/tex]

[tex] X = 58.99 [/tex]

[tex] m < X = 59.0 [/tex] (rounded to nearest tenth)

PLEASE I NEED THE ANSWERS ASAP!!! Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))

Answers

1. 7
2. 6
3. 3 radical 5
4. 5 radical 2
5. 8 radical 10
6. 2 radical 3
7. -1 + sqrt 3
not completely sure if they’re all correct

1.  √7 × √7  = √[7×7] = √[7²] = 7

2. √18 × √2  = √[18×2] = √36 = √[6²] = 6

3. √45  = √[9×5] = √9 × √5 = √[3²] × √5 = 3√5

4. [tex]\dfrac{\sqrt{50}}{5}=\dfrac{\sqrt{25\cdot2}}{5}=\dfrac{\sqrt{25}\cdot\sqrt2}{5}=\dfrac{5\cdot\sqrt2}{5}=\bold{\sqrt2}[/tex]

5. 2√2 × 4√5  = (2×4) × (√2×√5) = 8×√[2×5] = 8√10

6. √48 - √12  = √[16×3] - √[4×3] = √16×√3 - √4×√3 = 4√3 - 2√3 = 2√3

7. (2 - √3)(1 + √3) = 2×1 + 2×√3 + (-√3)×1 + (-√3)×√3 =

                                     = 2 + 2√3 - √3 - √[3×3] = 2 + √3 - 3 = √3 - 1

At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error? Jamie should have used the less than or equal to sign when writing the inequality. Jamie should have reversed the inequality when using the division property of inequality. Jamie should have added 500 to both sides. Jamie should have started by dividing by –30.

Answers

Answer:

Jamie should have reversed the inequality when using the division property of inequality.

Step-by-step explanation:

Jamie wrote

500 − 30x ≥ 200

Subtract 500 from both sides

500-500-30x ≥ 200-500

-30x ≥ -300

Divide both sides by -30

x ≥ 10

Instead of reversing the inequality when using the division property of inequality

500 − 30x ≥ 200

Subtract 500 from both sides

500-500-30x ≥ 200-500

-30x ≥ -300

Divide both sides by -30

x <or= 10

the answer is B i hope this helps

^_^

Other Questions
pls help...You are a forensic scientist working on a murder case. You have taken the blood sample from the crime scene and put it through Electrophoresis and Southern blotting. What step do you need to take next? A. Add ethanol B. Add restriction enzymes C. Add minisatellites D. Add radioactive probes what is the range of the function: h(x)=x+1/x^2 - 7x+10 Which sentence is capitalized correctly? Carlotta and i love halloween.carolotta and I love Halloween.Carlotta and I love HalloweenCarlotta and I love Halloween. PLEASE HELP ME Calculate the change in boiling point when 0.402 moles of sodium chloride are added to 0.200 kilograms of water. Kf = -1.86C/m; Kb = 0.512C/m -2.1C 2.1C -7.5C 7.5C The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit. The equation of the line of best fit is y = 0.677x + 1.77. Based on the line of best fit, approximately how many students are predicted to be in the marching band at a school with 35 students in the concert band? $70 discounted to $63 Write the expression as the logarithm of a single number or expression.4 In 2+3 In 5 Who did Genghis Khan use to suceed him? Help please will give brainliest *asap* A body's current radiation rate is 30% higher than it was an hour ago. Calculate the percentage by which your temperature increased. 1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? 3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g? 4. If f(x) is a polynomial, is f(x^2) also a polynomial 5. Consider the polynomial function g(x) = x^4-3x^2+9 a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial look at pic to see question how does the nucleus control which proteins are made by the ribsomes 1If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first for term A Maximum-Minimum thermometer has two stems which record the highest and lowest temperatures during a period of time. A small metallic piece in each stem indicates the temperature. A. 55o C, 35o C, 45o C B. 45o C, 25o C, 35o C C. 55o C, 25o C, 35o C D. 45o C, 25o C, 30o C 4. M PLEASE HELP ME GUYS!! Write and solve equations based on the angle relationships in the diagram below to find the measure of EKC and CKA How did President Carter shape Americas views on energy consumption during his presidency? a.Carter authorized the establishment of government monopolies to lower energy costs.b.Carter helped shift Americans focus from oil production to renewable energy.c.Cater encouraged Americans to support seeking oil partners in North America. d.Carter convinced OPEC countries to violate the embargo and sell to the United States. A train traveling at 100 km an hour takes 3 seconds to enter a tunnel and an additional thirty seconds to pass completely through it. Find the length, in kilometers, of the train. Express your answer as a common fraction Two similar triangles have perimeters of 45 cm and 75 cm respectively. What scale factor would relate these two triangles? The index of refraction of a certain material is 1.25. If I send red light (700 nm) through the material, what will the frequency of the light be in the material .....................