Need to study for finals need help on this problem on my study guide find the measure of each angle calculate the length of each side

Need To Study For Finals Need Help On This Problem On My Study Guide Find The Measure Of Each Angle Calculate

Answers

Answer 1

Answer:

[tex]\begin{gathered} m\angle B\text{ = 28}\degree \\ AB\text{ = 9.75} \\ BC\text{ = 7.7} \end{gathered}[/tex]

Explanation:

Here, we want to calculate the measure of each of the missing angles and sides

We have one missing angle and 2 missing sides

a) Let us get the angle at B

Mathematically, the sum of angles in a triangle is 180 degrees

Thus:

[tex]\begin{gathered} 90\text{ + 62 + B = 180} \\ B\text{ = 180-90-62} \\ B\text{ = 28}\degree \end{gathered}[/tex]

b) Let us get the measure of AB

We can use the appropriate trigonometric ratio here

The side that measures 6 is an opposite to the angle B

Since AB is the hypotenuse (the side facing the right angle and the longest side of in the triangle), we use sine

Sine is the ratio of the opposite and the hypotenuse

Mathematically:

[tex]\begin{gathered} sin\text{ 38 = }\frac{6}{AB} \\ \\ AB\text{ =}\frac{6}{sin\text{ 38}} \\ \\ AB\text{ = 9.75} \end{gathered}[/tex]

c) side BC

We can use tan to get this

Tan is the ratio of the opposite to the adjacent side

The opposite side here is the side AC, while the adjacent is BC

Thus, we have it that:

[tex]\begin{gathered} Tan\text{ 38 = }\frac{6}{BC} \\ \\ BC\text{ = }\frac{6}{Tan\text{ 38}} \\ \\ BC\text{ = 7.7} \end{gathered}[/tex]


Related Questions

2. Suppose you traveled from Saturn to Jupiter, and then from Jupiter to Mars. What would be the total distance in scientific notation

Answers

We have that approximately, the distance from Saturn to Jupiter is:

[tex]4.56x_{}10^8\text{ miles}[/tex]

and the distance from Jupiter to Mars approximately is:

[tex]3.42x10^8\text{miles}[/tex]

then, the total distance traveled would be the sum of these two quantities:

[tex](4.56x10^8)+(3.42x10^8)=7.98x10^8[/tex]

therefore the total distance is 7.98x10^8 miles

What is the perimeter of the figure shown below which is not drawn to scale

Answers

The perimeter of a figure is found adding the length of all its sides.

In this case, the perimeter is:

P = (x + 6) + (3x - 2) + (x- 3) + (x+ 2) + (x) + (x + 5)

P = (x +3x + x +x + x + x) + (6 - 2 -3 +2 + 5)

P = 8x + 8

Which of the following lines best fits the data shown in the scatter plot? 10 9 8 7 6 1 2 3 4 5 6 7 8 9 x Line a A С Line c Line b B. D None of the lines fit the data well

Answers

Scatter drawing plot

What is m<1?
Please someone help me! Thank you

Answers

Answer:

108°

Step-by-step explanation:

[tex]m\angle 3=72^{\circ}[/tex] (corresponding angles)

[tex]m\angle 1=108^{\circ}[/tex] (linear pair)

Polygon BCDE ≅ polygon RSTU. Find the value of X and the value of Y

Answers

By comparing both polygons, we can tell that they are not the same polygon, since one of the sides has length 11 in one trapezoid and 12 in the other. So, this polygons are similar. We notice that the variables X and Y are part of the angles. In polygons that are similar, the measure of the homologous angles are equal. By homologous we mean angles that are located at the same place in both figures. To determine the homologous angles, we should have both figures drawn in the same orientation. To do so, we will flip the trapezoid on the left, so its orientation matches the one fromt the right. I picture of this flipping would be

From this picture, by comparing it to the other polygon, we determine that the angle EDC is homologous to the angle UTS. So, their measure should be the same. So, we get the following equation

[tex]2y\text{ - 37 = }y+2[/tex]

By adding 37 on both sides and subtracting y on both sides, we get

[tex]2y\text{-y = +2 +37 = 39}[/tex]

This implies that y = 39°.

By doing the same procedure, we find that the angles URS and CBE are homologous. So their measures are equal and we get the equation

[tex]51\text{ = }2x+13[/tex]

Then, by subtracting 13 on both sides

[tex]2x\text{ = 51-13 = 38}[/tex]

If we divide both sides by 2 we get

[tex]x=\frac{38}{2}=19[/tex]

So x = 19°.

Solve for x 3(2^x-3)=384

Answers

Answer:

Solve for x: 3[2^(x-3) ]=384:

solution:

Here,3[ 2^(x-3) ] = 384

or,     2^(x-3)       =  ( 384 /3 )

or,     2^(x-3)       =  128

or,     2^(x-3)       =  2^(7)

or,     x-3             =  7       [ ∵ laws of indices ]

or,     x                =  7+3

∴      x                =  10 ans

how do you do order of operations with negitive signs

Answers

Let's use some examples where we have order of operations and also there are negative numbers and signs involved:

Let's evaluate the following:

(-4) x 5 + (-6)

So order of operations tells us to first take care of the multiplications and after that, deal with the additions or subtractions.

So the multiplication goes first here:

(-4) times 5 = - 20

Recall that a positive number times a negative number gives alwasy a negative number. So negative times positive gives the negative sign to the multiplication, and then, once the sign is taken care of, you multiply the numbers (4 x 5 = 20)

Next, we do the indicated addition

-20 + (-6) = -20 - 6 = -26

weher again we use the property that the + times the - inside the parenthesis gives a minus. ad we finalize by doing -20 - 6 = -26 (combining of two negative numbers).

Another example:

(8 + (-5)) x (-8)

So we first work on solving what is inside the first parenthesis :

8 + (-5) this is 8 - 5 (as we did before, the plus outside the parenthesis where -5 is, results in a minus sign as it multiplies the "-" that is shown ahead of 5.

So, inside this parenthesis we get: 8 - 5 = 3

Now we are left to multiply 3 times (-8)

This is a product of a positive number (3) times a negative number (-8). Again, do the rule for product of the signs (positive times negative equals negative) , ad then the product of the numbers: 3 x 8 = 24

so the answer is - 24

Another example:

(-9) x ((-10)+ 10)

We need to start by solving the operation indicated inside the parenthesis:

(-10) + 10 This is the same as: - 10 + 10 = 0

Now, whenwe use this result in the full expression, we get:

(-9) x 0 = 0 SInce any number multiplied times zero is zero.

help me please k=12 (4k+2) ÷ 10

Answers

Answer:

The answer is 5

Step-by-step explanation:

( 4k+2 ) / 10 = x

( 4(12) + 2 ) / 10 = x

( 48 + 2 ) / 10 = x

50 / 10 = x

x = 5

Remember PEMDAS

( 4(12) + 2)/ 10
(48 + 2) / 10
50 / 10
5

What is the x-coordinate for point A? TO B (9.9) Sixta- 9 8 7 6 5 4 3 2. 1 A (9.3) 1 0 1 2 3 4 5 6 7 8 9 10

Answers

EXPLANATION

The coordinate for point A is x=9

Select all equations that represent this tape diagram.

Answers

The equations that represent the diagram given are 7 + 8h = 167, 8h = 160

Equation that represent the diagram

To find the equation that represent the situation, we should simply count the number h present in the diagram, add it to 7 and equate the entire length to 167 which is the length of the tube.

This can be represented mathematically as

[tex]7 + h + h + h + h + h + h + h + h = 167[/tex]

we can simplify this further as

[tex]7 + h + h + h + h + h + h + h + h = 167\\7 + 8h = 167\\[/tex]

This can also be simplified as

[tex]7 + 8h = 167\\8h = 167 - 7\\8h = 160[/tex]

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Rashida was given 48 problems for homework. she has worked out 7/12 of them. how many more left unsolved​

Answers

Answer:

she has left 28 unsolved problem or whatever it is

Step-by-step explanation:

48:12=4

4x7=27

True or false?
When prices increase supply decreases.

Answers

Answer:

The answer to your question is:

False.

Step-by-step explanation:

If prices increase, then no one would want to buy the product. No one would come.

Therefore, the correct answer is;

When prices increase, supply decreases.

What is the answer to this question?

Answers

Answer:

C. (5, 5)

Step-by-step explanation:

To do this, you take each coordinate and perform the function that is shown in the translation.

So for (x-2, y+3),

you are going to take the x value of the coordinate you are given:

(7,2) and subtract 2, and then take the y value of (7,2) and add 3.

(7 - 2, 2 + 3)

Then solve this:

(5, 5)

order the following number from smallest to largest. 25, 10, -15, 0, -5

Answers

Answer:

-15, -5, 0, 10, 25

Step-by-step explanation:

Answer:-

15, -5, 0, 10, 25

Least  -> greatest  

Step-by-step explanation:

write the missing power of 10 in the exponential form…….*0.006=0.6

Answers

Answer:

10 to the second power

[tex]10^2[/tex]

Explanation:

Let the unknown value be x

The given expression can be rewritten as:

[tex]x\times0.006=0.6[/tex]

Express as a fraction;

[tex]\begin{gathered} x\times\frac{6}{1000}=\frac{6}{10} \\ \frac{6x}{1000}=\frac{6}{10} \\ \end{gathered}[/tex]

Cross multiply

[tex]\begin{gathered} 6x\times10=6\times1000 \\ 60x=6000 \\ x=\frac{6000}{60} \\ x=100 \\ x=10^2 \end{gathered}[/tex]

Hence the required unknown number in the exponential power of 10 is 10^2

Craig uses 5 cups of flour to make 10 cookies. How many cups of flour would Craig need to make 35 cookies?
NEED HELP!

Answers

Answer:

15

Step-by-step explanation:

5/2=2.5

35/2.5=15

Answer: 2 cups of flour

Step-by-step explanation:

To make 5 batches of cookies, 10 cups of flour are required.

To make 1 batch of cookies:

10 cups ÷ 5 cups = 2 cups of flour

Sarah needed to get her computer fixed. She took it to the repair store.
The technician at the store worked on the computer for 4.25 hours and
charged her $54 for parts. The total was $585.25. Write and solve an
equation which can be used to determine x, the cost of the labor per
hour.

Answers

The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given that,

x is the labor cost per hour.

The technician worked on the computer for 4.25 hours.

Total labor cost = 4.25x

The total parts cost = $54

The total charged cost = total parts cost + total labor cost

585.25 = 54 + 4.25x

4.25x + 54 = 585.25

Hence "The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25".

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Select all the equations for which 7 is a solution. A.) x-5=12B.) 5+x=12C.) x+12=19D.) x-5=-12

Answers

a) 7 - 5 = 12

2 = 12 This is not a solution

b) 5 + 7 = 12

12 = 12 This is a solution

c) 7 + 12 = 19

19 = 19 This is a solution

d) x - 5 = -12

7 - 5 = -12

2 = -12 This is not a solution

The graph of g(x) shown below has the same shape as the graph of f(x)=x2 but it is shifted right by 5 units write the equation for g(x)please help me!! :(

Answers

f(x)= x^2

To shift 5 units to the right subtract 5 to x .

g(x)= (x-5)^2

If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142 find BOC

Answers

The angle BOC has a measure of 50 degrees

How to evaluate the measure of the angle?

From the question, the given parameters about the angles are:

OA-OB-OCAOB = 9x + 20BOC = 7x - 6AOC = 142

The above parameters implies that

AOC = AOB + BOC

Next, we substitute the angle measurements in the above equation

So, we have

142 = 9x + 20 + 7x - 6

Evaluate the like terms

So, we have the following equation

142 = 16x + 14

Evaluate the like terms again

So, we have the following equation

16x = 128

Divide both sides by 16

x = 8

Substitute x = 8 in BOC = 7x - 6

BOC = 7 x 8 - 6

Evaluate

BOC = 50

Hence, the measure of the angle is 50 degrees

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Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15. negative 1 over 3 times g plus negative 18 negative 4 over 12 times g plus negative 12 4 over 12 times g plus negative 18 16 over 12 times g plus negative 12 (BEST ANSWER WILL GET BRAINLIST)

Answers

The expression that is equivalent to the expression illustrated is 1/12g - 18.

What is an expression?

It should be noted that an expression is used to show the relationship between the variables.

The expression will be illustrated as:.

= 5/4g - 3 - 7/12g - (1/3g + 15)

= 5/4g - 3 - 7/12g - 1/3g - 15

= 5/4g - 7/12g - 1/3g - 3 - 15

= 15/12g - 7/12g - 4/12g - 18

= 1/12g - 18

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Two-eighths of the movies in Beth's collection are
action movies. Another of the movies are come
What fraction of Beth's movies are either action
movies or comedies?

Answers

The answer is ..

Action movies

A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions of 3 inches by 3 inches by 3.6 inches. The volume of the computer is. (simplify your answer. type a whole number or a decimal.)

Answers

To find the volume of the computer, we just have to multiply each coordinate.

[tex]\begin{gathered} V=3in\times3in\times3.6in \\ V=32.4in^3 \end{gathered}[/tex]Hence, the volume is 32.4 cubic inches.

PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!

Answers

1) [tex]VX=ZX, \angle XVY=\angle XZW[/tex] (given)

2) [tex]\angle X=\angle X[/tex] (reflexive property)

3) [tex]\triangle VXY \equiv \triangle ZXW[/tex] (ASA)

Suppose that a population has a mean of 200 and a standard deviation of 26. a. Compute the standard error of the sample mean for a sample size of 10.

Answers

Given:

Mean = 200

Standard deviation = 26

a) Find the standard error for a sample size of 10:

[tex]E=\frac{\sigma}{\sqrt{N}}[/tex]

Substitute the values:

[tex]E=\frac{26}{\sqrt{10}}=8.22[/tex]

Answer: 8.22

Emily is a sales representative. She receives 7% commission on all sales. At the end of the year she receives a bonus of 5% of her commission. If Emily's sales for the year total $412,454, calculate: 1) 7% Commission on Sales 2) 5% Bonus on Commission 3) Total Gross Pay for the year 4) Monthly Income

Answers

start by calculating the 7% of all the sales

[tex]\begin{gathered} \text{Comission}=(0.07)\cdot412,454 \\ \text{comission}=28,871.78 \end{gathered}[/tex]

Calculate the bonus from the comission

[tex]\begin{gathered} \text{Bonus}=(28,871.78)\cdot(0.05) \\ \text{Bonus}=1,443.59 \end{gathered}[/tex]

The total gross pay will be the addition between the comission and bonus

[tex]\begin{gathered} G.\text{ Income=28,871.78+1,443.59} \\ G\text{. income=30,315.37} \end{gathered}[/tex]

The monthly income will be the division between 12 months of the year

[tex]\begin{gathered} \text{Monthly income} \\ \frac{30,315.37}{12}=2526.28 \end{gathered}[/tex]

Please help Me I really need this !!!

Answers

Step-by-step explanation:

Original Equation:

[tex]x^2+5=0[/tex]

Subtract 5 from both sides

[tex]x^2 = -5[/tex]

Take the square root of both sides

[tex]x=\pm\sqrt{-5}[/tex]

Simplify

[tex]x=\pm i\sqrt{5}[/tex]

Thus we have two non-real solutions, and zero real solutions. This implies that the graph will never cross the x-axis when graphing the function out, because it has no real solutions.

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?

A. 1 in. : 2.5 ft.
B. 1 in. : 25 ft.
C. 1 in. : 62 ft.
D. 1 in. : 62.5 ft.

Answers

Answer it is c because when you multiply 12 x 5 you get 60 right so round up to the nearest number 62 an u can't subtract or divide you won't get a or b

Solving a word problem using a system of linear equations

Answers

In order to determine the weighs of the boxes, name x as the larger box and y as the smaller one.

Then, based on the given situation, you can write the following equations:

3x + 2y = 86

8x + 4y = 209

Solve the previous system of equations as follow:

Multiply the first equation by -2 and add the result to the second equation:

(3x + 2y = 86)(-2)

-6x - 4y = -172

8x + 4y = 209

-6x - 4y = -172

2x = 37

Solve the previous equation for x by dividing by 2 both sides:

x = 37/2

x = 18.5

Next, replace the previous value of x into any of the equations of the system, for instance, into the first equation, and solve for y:

3x + 2y = 86

3(18.5) + 2y = 86

55.5 + 2y = 86

2y = 86 - 55.5

2y = 30.5

y = 30.5/2

y = 15.25

Hence, the weighs of the boxes are:

larger box = 18.5 kg

smaller box = 15.25 kg

Select the correct answer from the drop-down menu.Find the solution set for the system of equations.

Answers

Given:

9x+5y=28

5x+9y=56

Required:

To calculate the solution of the system

Explanation:

Rearrange like terms to the same side of the equation

[tex]\begin{gathered} 5x=28-9x \\ \\ 5x+9y=56 \\ \\ y=\frac{28-9x}{5} \\ \\ 5x+9y=56 \\ \\ substitute\text{ in the equation } \\ \\ 5x+9\times\frac{28-9x}{5}=56 \\ \\ x=\frac{-1}{2} \end{gathered}[/tex][tex]\begin{gathered} substitute\text{ value in y} \\ \\ y=\frac{28-9\times(\frac{-1}{2}}{5} \\ \\ y=\frac{13}{2} \end{gathered}[/tex]

Required answer:

Option B

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