Find the value of x to the nearest tenth. In a triangle, one angle is 46 degree and second angle is 20 degree. The adjacent side of 46 degree angel is 7 and opposite side is x.

Answers

Answer 1

The value of x in the triangle is approximately 7.2 to the nearest tenth.

To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).

We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

tan(46°) = x/7

Take the tangent of both sides of the equation:

tan(46°) = x/7

Multiply both sides by 7 to isolate x:

7 x tan(46°) = x

Use a calculator to find the tangent of 46 degrees:

tan(46°) ≈ 1.0355

Multiply 7 by the approximate value of the tangent:

7 x 1.0355 ≈ 7.249

Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.

Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.

Learn more about trigonometric;

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Answer 2

The value of x to the nearest tenth is approximately 5.0.

To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.

Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.

sin(A) = C / B

sin(46°) = x / 7

To find the value of x, we can rearrange the equation:

x = 7 * sin(46°)

Using a calculator, we can evaluate sin(46°) and calculate the value of x:

x ≈ 7 * 0.7193

x ≈ 5.0351

for such more question on right triangle

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Related Questions

Is a trapezoid always a square?

Answers

No it is not trust me you will lean that as a freshmen

Answer:

No

Step-by-step explanation:

A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.

Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information: the amount of plant food remaining in the container after each day's feeding the height of the plant over time

Answers

Answer:

[tex]Domain : 0\le x \le 6[/tex]

[tex]Range: 0 \le y \le 72[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the domain and the range

From the complete question, we understand that the study was carried out for 6 days. This represents the domain;

So, we have:

[tex]Domain : 0\le x \le 6[/tex] i.e. from day 0 to day 6

Also, he experimented with 72ml, and he used an equal amount each day before he used up all the 72mL. This represents the range

So, the range is:

[tex]Range: 0 \le y \le 72[/tex] i.e. from 72mL to 0mL

A box shaped like a rectangular prism has a height of 17 in and a volume of 2.720 in^3. The length is 4 inches greater than twice the width. What is the width of the box?

O -10 in
O 8 in
O 20 in
O 40 in

Answers

Answer:

8

Step-by-step explanation:

Height, h = 17

Let :

Width = x

Length = 2x + 4

Volume = 2720 in³

Volume of rectangular prism = Length * width * height

2720 = 17 * x * (2x + 4)

2720 = 34x² + 68x

34x² + 68x - 2720 = 0

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10)

(x + 10) = 0 or (x - 8) = 0

X = - 10 or x = 8

Width can't be negative

Hence, width, x = 8

how do you simplify 3(j-2k)+4 ?​

Answers

Answer: 3j-6k+4

Step-by-step explanation:

First you have to distribute the 3 to the j and the -2k since they are both in the parentheses. So it would look like (3*j) +(-2k*3)+4 and if you simplify that it is 3j-2k+4. After that there are no like terms so that is your answer.

Help HELP HELP HELP PLS!!!

Answers

Answer:

x = 40

Step-by-step explanation:

40° and (3x + 20)° form a straight line, and a straight line equals to 180°

=> 40 + (3x + 20) = 180

=> 3x = 120

=> x = 40

Is B x=40

I hope it’s that

Фhelp me out please im so confused!
pleaSE?

Answers

Answer:

Step-by-step explanation:

I can't really tell from the image but it looks like the lines are parallel to each other

Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)= x^2

Answers

The second one is the parent function I think

Answer:

(B.) f(x) = |x|

Step-by-step explanation:

Just took the test%

Number six please help!

Answers

Answer:

#6

Use ratios of corresponding sides to find the value of x.

a)

(2x - 18)/ 24 = 8/ 482x - 18 = 24/62x - 18 = 42x = 22x = 11

b)

(x + 4)/18 = 25/30x + 4 = 18*5/6x + 4 = 15x = 11


Find the distance between the two points.
(-1, -3), (1, 3)
The distance between the two points is
units.

Answers

Answer:

The distance between those points is 6.32456. You can just round it if they want you to round the number.

Step-by-step explanation:

1.   (x2-x1) = (1 - -1) = 2

2.   (y2-y1) = (3 - -3) = 6

3.   (2)^2 + (6)^2 = 4 + 36 = 40

4.   √40 = 2√10

5.   6.3246

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

find the volume of the composite figure​

Answers

Answer:

8064

Step-by-step explanation:

Multiply all the sides

6x4x12x2x14

Answer:

384 cu. cm

Step-by-step explanation:

The figure is comprised of two rectangular prisms.  One prism has dimensions of 6, 4 and 2 and the other prism has dimensions of 14, 12 and 2

Vol of a rectangular prism = lwh

Total volume = 6(4)(2) + 14(12)(2)

                      = 48 + 336

                      = 384 cu. cm

A rectangular pyramid has a base that is 10 millimeters long and 10 millimeters wide. The pyramid's slant height is 11 millimeters. What is its surface area?

Answers

I believe it is 215 millimeters

What happens to the area of a circle if the circumference is doubled?
A. The area is 1/2 of the original circle
B. The area is the same as the original circle
C. The area is 2 times the original circle
D. The area is 4 times the original circle
E. The area is 8 times the original circle

Answers

Answer:

D. The area is 4 times the original circle

Step-by-step explanation:

The circumference:

C = 2πr

If the circumference is doubled, it means the radius is doubled.

The area:

A = πr²

And the new area:

A1 = π(2r)² = 4πr² = 4A

Correct choice is D

Answer:

Solution given:

area of a circle[A]=πr²

circumference of circle [C]=2πr

when circumference of circle is doubled

it becomes :4πr

Step-by-step explanation:

area directly proportional to circumference

πr²=2πr

when circumference is doubled

πr²=2(2πr)

so area

C. The area is 2 times the original circle

find two numbers that multiply to -72 and add up to -1​

Answers

Answer:

-8 and 9

Step-by-step explanation:

-8 x 9  = -72

and  -8 + 9 = 1

ANSWER AND GET 30 POINTS!!! ASAP!!!
Which of the following are trigonometric identities? Select all that apply. (3)
What is a simplified form of the expression sec^2 x-1/sinx secx?

Answers

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Part A: The trigonometry identities

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

Part B: The trigonometric proof

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

Read more about trigonometry ratios at:

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The conference table top shown is the shape of two congruent trapezoids. The table top is wooden with a rectangular glass inset. All of the wood on the conference table needs to be refinished. What is the total area of the wood portion of the table top? Enter your answer in the box. The answer is not 20

Answers

i think it’s 196? base 1 +base 2=28 radius is 7 but we need the whole thing so 7x2=14.
then multiply and then divide by 2 28X14= 392 divided by 2 = 196

Find the measures of the interior angles of the triangle. Help plz

Answers

All interior angles equal to 180 just add the two angles you have and subtract it from 180 to get the final angle

Answer:

A=65

B=40

C=75

Step-by-step explanation:

C= 180-65-40

=75°

Math Minute 92b
can you guys help?

Answers

Answer:

n = 81

Step-by-step explanation:

sqrt(n) = 9

(sqrt(n))² = 9²

n = 81

Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96

Answers

664.80
- 200
= 444.80

444.80/5 months = A) 88.96

I am probably really dum, but this is hard for me, so can someone help me pls??? (will give brainliest if u have good answers <3)

Answers

1. Yes

2. Yes

3. No

4. Yes

have an amazing day <3

Ty and his 3 brothers share a pizza equally.Which of these shows how much of the pizza did tys brothers have

Answers

3 fourths - No matter how many pizzas there are, if we divide each pizza to 4 slices, each one gets one slice from each pizza, that is 1/4 of a pizza for each brother. Since there are 3 pizzas, simply multiply 3 x 1/4 = 3/4

Answer:3/4

Step-by-step explanation:

Have a good day!

Steve made $50 raking leaves and $75 mowing lawns he gave 60% of his earnings to his mother how much did Steve give to his mother

Answers

Answer:

Steve gave his mother $75.

Step-by-step explanation:

Steve earned a total of $125.  Sixty percent of that went to his mother.  Convert 60% into the equivalent decimal fraction and multiply as indicated:

0.60($125) = $75

Steve gave his mother $75.

Answer:

Steve gave $75 to his mother.

Step-by-step explanation:

Steve earned a total of $125. Sixty percent of that went to his mother.  Convert 60% into a decimal and multiply:

0.60($125) = $75

Need a detailed explination to solve 4/5 = 0.8 by dividing (will give branliest)

Answers

Answer:

Step-by-step explanation:

4/5 means four divided by five. if we do four divided by five, we get 0.8





Pranav bought lunch at 5 Guys for $14.20. How much

tax will he pay with a sales tax rate of 6.5%?

Answers

Answer:

92 cents

Step-by-step explanation:

14.20×6.5%=0.923

PLEASE ANSWER I WILL GIVE BRAINLIEST

Answers

Answer:B because you multiply all the similar numbers together then at the end you add them all up.

i answered. now what

Naina went on a trip. She covered a distance of 34 Kilometre 46 metre by car, 143 kilometre 92 metre by train, 5 kilometre 92 metre by bus, 2 kilometre 60 metre on bullocks and 1.3 kilometre on foot. How much distance did she cover.

Answers

Answer:

185590 m

or 185 km 590 meters

Step-by-step explanation:

to calculate total distance covered, convert km to meter and adding the numbers together

1km = 1000m

34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m

143 kilometre 92 metre = ( 143 x 1000) + 92 =  143,092m

5 kilometre 92 metre = (5 x 1000) + 92 = 5092

2 kilometre 60 metre = (2 x 1000) + 60 = 2060

1.3 km = 1.3 x 1000 = 1300

x y
1 13
2 15
3 17
4 19
5 21

The table above represents what type of function?
A.
neither linear nor nonlinear
B.
linear
C.
linear and nonlinear
D.
nonlinear

Answers

Answer: Hewo, there! your answer is Below.

B.

linear Would be my answer because it's arranged in or extending along a straight or nearly straight line.

Step-by-step explanation:

Hope this helps!!

have a great day!!!]

-August-

the diameter of a circle is 6 kilometers.what is the circumference? use 3.14 As approximation for pi

Answers

Answer:

[tex]circumference = 2\pi \: d \\ = 2 \times 3.14 \times 6 \\ = 37.68 \: km[/tex]

compare the numbers with
>, <, =
- 3.5 ____ 2.8
7.4 ____ - 9

Answers

Answer:

-3.5   <   2.8

7.4   >   -9

Step-by-step explanation:

If you have a negative number and a positive number the positive number is always greater.

When you have a negative number and another negative, the smallest number is greater.

For example: -2.5       -3.7

-2.5 is greater than -3.7 because it is less negative.

-2.5   >   -3.7

When you have a positive number and a positive number, the biggest number is greater.

For example: 8.3       4.2

8.3 is greater than 4.2 because it is a bigger number.

8.3   >   4.2

100 points / please help, im lost

Answers

Answer:

12:15 is NOT proportional to 3:4

Step-by-step explanation:

7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.

39:52 is proportional to 3:4 because 3×13=39, and 4×13=52

45:60 is proportional to 3:4 because 3x15=45, and 4×15=60

12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.

the answer to your question is D.12:15

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