Fill in the blank. In the triangle below, x=?. Round your answer to two decimal places.

Fill In The Blank. In The Triangle Below, X=?. Round Your Answer To Two Decimal Places.

Answers

Answer 1

Answer:

x = 31.5, y = 41.7, z = 48

Step-by-step explanation:

use the rule that cos (x)  = adjacent/hypotenuse:

you know that x (the angle) = 42 and the adjacent side = 35, so:

cos (42) = 35/y

y = 35/cos(42)

y = 47.1

then, to find x:

use the fact that tan (x) = opposite side/adjacent side

so tan (42) = x/35

x = 35tan(42)

x = 31.5

finally, you know all 3 angles of the triangle have to add up to 180, so to find z you can do:

z + 90 + 42 = 180

z + 132 = 180

z = 48


Related Questions

You must make 3 shots in a row to win the fairs basketball game. The hoop is uneven and the backboard curved. Only 5 players out of 100 win the game. What percentage of players do not win.

Answers

Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The ice cream cone below is made from a piece of wafer.
Work out the area of wafer required to make the ice
cream cone.
Give your answer to 1 d.p.
2 cm
9 cm

Answers

The area of wafer required to make the ice cream cone 68.75 cm²

What is Area?

The area is the amount of space within the perimeter of a 2D shape. It is measured in square units, such as cm², m², etc.

Given:

r= 2cm, l=9 cm

Surface area,

=πr(l +r)

=3.14*2(9 + 2)

= 6.25*11

=68.75 cm²

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Give the slope and the y-intercept of the line y=10x+9

Answers

Answer:

Slope: 10

Y-intercept: +9

Step-by-step explanation:

An equation written in slope-intercept form is y=mx+b. "m" is your slope and b is your y-intercept.

*30pts*What is the value of x in the triangle?

Answers

Answer:

A.4

Step-by-step explanation:

Using the sine rule

sin(α)/A equals sin(β)/B

From the question & inserting values,

sin(90°)/8 equals sin(30°)/x

∴x equals[tex]\frac{sin(30)}{sin(90)}[/tex]×8

∴x equals 4

You can learn more on the sine rule in case you get confused.

Answer:

A

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 8 ( divide both sides by 2 )

x = 4

Please help whilst I try to solve as well.

Answers

Answer:

Step-by-step explanation:

Answer:

420 cm³

Step-by-step explanation:

we find the volume as if it were a parallelepiped and we remove the volume of the missing part.

8 * 6 * 10 = 480 cm³

480 - 2 * 3 * 10 = 420cm³

3. Multiply the polynomials (a² + 3a-7) and (2a²-a + 4). Simplify the answer. Show your work.
Answer:

Answers

Answer:

[tex]2a^{4} + 5a^{3} - 13a^{2} + 19a - 28[/tex]

Step-by-step explanation:

A cooler contains five​ colas, seven​ root beers, and four​ ginger ales.​ Three​ people grab a drink at random, one at a time. a) What is the probability that the first person grabs a cola, the second person grabs a ginger ale, and the third person grabs ​ b) What is the probability that the third person grabs a root beer given that the first two grabbed colas?

Answers

The probabilities are:

a) P = 0.024

b) P = 0.5

How to get the probabilities?

a) The probability that the first person grabs a cola is given by the quotient between the number of colas and the total number of drinks.

There are 5 colas, and 16 drinks in total, so the probability is:

P = 5/16

The second person needs to grab a ginger ale, now there are 15 drinks on the cooler (because one cola was taken) so this time the probability is:

Q = 4/15

Finally, the third person grabs (this is incomplete, I will assume that is another cola), this probability is:

Z = 4/14

The joint probability is:

prob = P*Q*Z = (5/16)*(4/15)*(4/14) = 0.024

b) If the two first persons grabed colas, then in the cooler we have:

3 colas, 7 root beers, and 4 ginger ales, for a total of 14 drinks.

Then the probability of grabbing a root beer is:

p = 7/14 = 1/2 = 0.5

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If the line segment AB is on a number line, and point A is at 6 and Point B is at 13, then the length of AB is ____.

Answers

Answer:

7

Step-by-step explanation:

The length of AB is the distance between A and B which is B-A -> 13-6= 7

A family originally bought a home for $654,030. Now, a few years later, the home is worth
$457,821. What was the percent of decrease in its value?

Answers

Answer:

30%

Step-by-step explanation:

First we find out the difference between them:

$654,030 - $457,821 = $196,209

Then we compare it with the original price:

196,209/654,030 = 0.3

Since 0.3 is 30%, that is 30% decrease in value.

which is the correct graph for the inequality

Answers

The correct answer is graph B

please help me with this problem ! would appreciate it!!!

Answers

[tex]1) \text{ } 2^{1/2}=\sqrt{2}\\\\2) \text{ } 2^{2/3}=\sqrt[3]{2^{2}}\\\\3) \text{ } 3^{3/2}=\sqrt{3^{3}}\\\\4) \text{ } 3^{1/3}=\sqrt[3]{3}[/tex]

Answer: correct radical forms are:

[tex]2^\frac{1}{2} = \sqrt{2}[/tex]

[tex]2^\frac{2}{3} = \sqrt[3]{2}[/tex]

[tex]3^\frac{3}{2} = \sqrt[]{3^3}[/tex]

[tex]3^\frac{1}{3} = \sqrt[3]{3}[/tex]

Step-by-step explanation:

Radical form : If n is a positive integer that is greater than 1 and a is a real number then, [tex]\sqrt[n]{a} =a^\frac{1}{n}[/tex] where n is called the index, a is called the radicand, and the symbol √ is called the radical.

therefore,  

radical form of given values are :

[tex]2^\frac{1}{2} = \sqrt{2}[/tex]

[tex]2^\frac{2}{3} = \sqrt[3]{2}[/tex]

[tex]3^\frac{3}{2} = \sqrt[]{3^3}[/tex]

[tex]3^\frac{1}{3} = \sqrt[3]{3}[/tex]

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What are the roots for the quadratic equation below?

3x^2+9x-2=0

Answers

Answer:

[tex]\sf{$a)$} \ x=\dfrac{-9\pm\sqrt{105}}{6}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

Given: 3x² + 9x - 2 = 0

⇒ a = 3, b = 9, c = -2

Substitute the given values into the formula and simplify:

[tex]x=\dfrac{-9\pm\sqrt{9^2-4(3)(-2)}}{2(3)}\\\\x=\dfrac{-9\pm\sqrt{81+24}}{6}\\\\x=\dfrac{-9\pm\sqrt{105}}{6}[/tex]

Therefore, the correct answer is A.

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Solve the formula d = rt for t

Answers

I’m not 100% but wouldn’t it be t = d/r

Fig. R24 shows a flower vase whose circular base is parallel to its circular top.
Use the dimensions in the figure to calculate the curved surface area of the flower vase ​

Answers

Answer:

operant conditioning and schedules of reinforcement

Terick ran 2 3of a mile in 8 minutes. It took Chad 40 minutes to run 3 1 4miles. a. If Terick runs at that speed, how long will it take him to run one mile?

Answers

The time taken for Terick to run one complete mile is determined as 12 minutes

Speed of Chad

The speed of chad is calculated as follows;

s = distance/time

s = (3.25 miles)/(40)

s = 0.08125 miles/min

Total distance ran by Terick

2/3 of a mile = 8 mins

1/3 of a mile = ?

1/3 of a mile  =  4mins

1 mile = 8 mins + 4 mins = 12 mins

Thus, the time taken for Terick to run one complete mile is determined as 12 minutes.

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what is the fraction 2500 of 3600

Answers

Answer:

25/36

Step-by-step explanation:

put 2500 over 3600 and you get 2500/3600 but you can simplify to get 25/36 but removing the 0's

9x+9y=9. Solve for Y

Answers

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9 ( divide through by 9 )

x + y = 1 ( subtract x from both sides )

y = 1 - x

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9

First, take 9x to the right side.

9y = 9 - 9x

9y = 9 ( 1 - x )

Divide both sides by 9.

y = 1 - x

Select the correct answer from each drop-down menu.

The function f is given by the table of values as shown below.


x 1 2 3 4 5

f(x) 13 19 37 91 253

Use the given table to complete the statements.


If function f was translated down 4 units, the _

values would be _

A point in the table for the transformed function would be _

Answers

Using translation concepts, the correct statement is given by:

If function f was translated down 4 units, the f(x) values would be subtracted by 4. A point in the table for the transformed function would be (1,9).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A translation down 4 units means that the output values are subtracted by 4, hence the table would be given by:

x    1  2  3   4    5

f(x) 9 15 33 87 249

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Answer:

The CORRECT answer is:

1. f(x)

2. decreased by 4

3. (4, 87)

Step-by-step explanation:

Took the test

35. Use the Change of Base Formula to evaluate logs 92. Then convert logs 92 to a logarithm in base 3. Round to the n
2.810; log3 55.2
2.810; log3 21.903
1.964, log3 55.2
4.522; log3 21.903

Answers

The answer is 1. 30b

...............
................ ​

Answers

Let the numbers be x and x/7

Now

sum=824x+x/7=8248x/7=8248x=824(7)8x=5768x=721

The numbers are

721 and 721/7=103

Answer:

7x+X=824

8X/8=834/8

x=108

Step-by-step explanation:

hope I helped

Find sin A. 12/13
B. 1
C. 13/12
D. 13/5

Answers

Answer: A. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

The best way to remember this is SOH-CAH-TOA. For sin, it would be the opposite angle over the hypotenuse. The opposite angle of ∠C is 24 and the hypotenuse is 26. But that isn't in the answer choices, so you'll simplify the fraction.

[tex]\frac{24}{26} =\frac{12}{13}[/tex], therefore, the answer is A.

I hope this helps! Pls mark brainliest!! :)

solve for x -
[tex]\bold{x {}^{2} + 5x + 6 = 0}\\\\[/tex]
ty! ~

Answers

The solution of the given quadratic equation is x=-2 or x=-3.

The given quadratic equation is x²+5x+6=0.

What are different methods to solve a quadratic equation?

The different methods of solving quadratic equations are factoring, completing the square or using the quadratic formula.

By using the splitting middle term method we can solve x²+5x+6=0.

That is, x²+2x+3x+6=0

⇒x(x+2)+3(x+2)=0

⇒(x+2)(x+3)=0

⇒(x+2)=0, (x+3)=0

x=-2 or x=-3.

Therefore, the solution of the given quadratic equation is x=-2 or x=-3.

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Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warrior's helmet. Which of the following are pairs of congruent segments? Check all that apply. A. PO and ON B. FR and NR C. NO and NM D. RC and RO E. DV and EW​

Answers

Option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.

What is congruence in geometry?

The measurements of the sides and angles of two or more geometrical figures determine their congruence. For example triangle's size is determined by its three sides, and its shape is determined by its three angles.

We have:

The diagram represents an unfolded paper kabuto, a samurai warrior's helmet.

Unfolded paper can be seen in the provided figure. The sheet is square.

The diagonals, in this case, are FN and AK, and the midline is CM and OI. At point R, all of these lines converge.

FR ≅ NR

AO ≅ ON

RC ≅ RO

NO ≅ NM

DV ≅ HV

Thus, option (B) FR and NR, option (C) NO and NM, and option (D) RC and RO are correct.

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What’s the vertex of this graph??

Answers

Answer:

(4, -3)

Step-by-step explanation:

A vertex is just a point at which 2 lines going in different directions meet, hence (4, -3)

Mr.Baker is making a box using all of a 48-inch strip of oak. the box will be 14 inches wide. how long will the box be?

Answers

The length of the box made by Mr. Baker is 10-inch

Mr. Baker has strip of 48- inch long  oak, by this strip he is making the rectangle box of width 14-inch.

What is a rectangle?

The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.

As Mr. Baker has a strip that is 48-inch long and he made a rectangle box with it.

The width of the  box = 14 inches
now the length of the box = (total length of the strip - 2* width of the box)/2
length of the box = (48 - 2*14)/2
length of the box = 10 inches

Thus the Mr. Baker made the box which is 10 inches long.

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Warm Shelters.org received a donation of $32,000 to buy beds and dressers for its new dormitories. Each bed will cost $320.00 and each dresser will be $75.00 each. A total of 132 pieces of beds and dressers are needed. What is the percentage of dressers with respect to the number of beds?

Please HELP

Answers

Answer:

you can buy 98 beds and buy dresses by rest of the money

has a slope of 2 and contains what point? y-3=2(x+4)

Answers

We know immediately that the line must pass through (-4, 3).

What is the surface area of the image below?

Answers

Answer:

Step-by-step explanation:

Comment

I'm going to assume that this is not a closed figure. The top is open like a water trough for horses.

There are 2 semicircular ends which add up to 1 whole circle.

There is 1 base area. The base area has a width of one of the semicircles. It has a length of 15 cm.

Solution

2 semi circles

r = d / 2

r = 20/2

r = 10

Area = pi r^2    This area is for 2 semicircles which = 1 circle.

Area = 3.14 * 10^2

Area = 3.14 * 100

Area =                                                  314

Trough

r = d / 2  

d= 20

r = 20/2

r= 10

w = 2*pi*r / 2

w = 2*3.14 *10/2

w = 31.4 cm

L = 15 cm

Area = 15 * 31.4

Area =                                                   471

Total Area =                                         785                              

I need the answer for number 4 please!!

Answers

Answer:

-3 - false

0 - true

1 - true

2 - false

4 - true

Step-by-step explanation:

the "zeros" of a function are its x-intercepts

(because that is when the function = zero [0])

So, we can look at the x-intercepts of the graph to find the zeros:

at 0, 1, and 4 the function = 0, meaning that those are zeros of the function

hope this helps!! have a lovely day :)

simplify 3 + [5n - (2-n)]

Answers

Answer:

6n+1

Step-by-step explanation:

Eliminate the parenthesis by changing the symbol of each term inside

3+[5n-2+n]

Eliminate the bracket and group similar terms

5n+n+3-2

Simplify terms

6n+1

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