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.
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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
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Janelle (age 12 ) and her cousin, marquita (age14 ) , go to 7:00 P.M show generate an equivalent expression for the total cost of admission. What is the total cost
Answer:
The answer is "$13".
Step-by-step explanation:
The entrance fee for a show is [tex]\$8[/tex] for an adult, [tex]\$5[/tex] for children under 13, and [tex]\$3[/tex] for matinees (before 6 pm).
In our event, Janelle is a child as she's underneath the age of 13 who pays [tex]\$5[/tex] while she's an older person and therefore she's going to pay [tex]\$8[/tex].
[tex]\$ 8 + \$ 5 = \$ 13[/tex], therefore the overall cost for the show is 13 dollars
- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number
Answer:
4/8 or reduced 1/2
Step-by-step explanation:
It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8
what is the area of the figure below?
35
41
46
51
Find the missing side.
Need help please.
I need explanation for the answer please
Answer:
x ≈ 11.1
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )
13 × sin59° = x , then
x ≈ 11.1 ( to the nearest tenth )
Answer:
11.14 to nearest hundredth.
Step-by-step explanation:
sine = opposite side/ hypotenuse so here we have:
sin 59 = x/13
x = 13 sin 59
= 11.143
Ms. Gonzales is investing $17000 at an annual interest rate of 6%
compounded continuously. How much money will be in the account after
16 years? Round your answer to the nearest hundredth (two decimal
places).
Answer:
$30444.41
Step-by-step explanation:
→ Work out compound interest
(100 + 6) ÷ 100 = 1.06
→ Multiply the amount by the money
17000 × 1.06
→ Find how many years it is for
17000 × 1.06¹⁰ = 30444.41
Witch fraction is equivalent to 33/200
Answer:
16.5/100
Step-by-step explanation:
An equivalent fraction to 33/200 could be 66/400.
PLZZ HELP Me ASAP!!!!
Answer:
see explanation
Step-by-step explanation:
(a)
The area is calculated as length × breadth
area = 2x(2x + 6) ← distribute
= 4x² + 12x
(b)
area = x(x + 4) ← distribute
= x² + 4x
(c)
shaded area = 4x² + 12x - (x² + 4x)
= 4x² + 12x - x² - 4x ← collect like terms
= 3x² + 8x
Can anyone help me?
Answer:
Step-by-step explanation:
y= -833.3+42,000
29,500
What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?
Answer:
[tex]y=3(2)^{x-5}+6[/tex]
Step-by-step explanation:
Let the equation of the exponential function with base 2 is,
[tex]y=a(2)^{x+c}+d[/tex]
Here, a = vertical stretch
c = Horizontal shift
d = Vertical shift
If this function has a vertical stretch by a factor of 3,
Equation will be,
[tex]y=3(2)^{x+c}+d[/tex]
If this function has a shift of 5 to the right,
Equation of the function will be,
[tex]y=3(2)^{x-5}+d[/tex]
If this function has a shift of 6 units upwards,
[tex]y=3(2)^{x-5}+6[/tex]
Please help!!
Find the radius
Answer:
The radius is 20 units.
Step-by-step explanation:
(r)^2 + 21^2 = (r+9)^2
r^2 + 441 = r^2 + 18r + 81
360 - 18r = 0
360 = 18r
20 = r
What is the growth or slope of the simplified equation? NEED ANSWER ASAP
Answer:
Slope is 5.
Step-by-step explanation:
y + 3x = 8x -7
y = 5x - 7
coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b. m is the slope.
Alex has a pile of 2p coins. She swapped exactly half of them for the same number of 10p coins.
Now she has £4.20
How much money did alex have initially?
Answer:
£8.4
Step-by-step explanation:
Since she swapped half and now has £4.20, then multiply that by 2
4.20 × 2 = 8.4
Alex initially had £8.4
The initial amount of Alex's 2p coins is £8.40
Let the initial worth of 2p coins = y
Half of y = y/2 The value of y/2 = £4.20The amount of money Alex had initially = yWe can then solve for the worth of y, which is the titla amount Alex had initially ;
y/2 = £4.20Multiply bith sides by 2 (y/2)×2 = £4.20 × 2 y = £8.40Therefore, the amount of money Alex had initially is £8.40
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Lu is making a quilt that is 20 squares wide and has 15 rows. The border of the quilt is made by using each toy design equally as often. There are a total of 6 toy designs. Each square can hold one design. How many of each design does she use for the border?
Answer:
Out of 6 designs 4 designs will have 12 repetitions and 2 designs will have 11 repetitions.
Or
On the average each design will be repeated 11.67 times.
Step-by-step explanation:
HEre the width = 20 and length = 15
The perimeter = 2(l+b)
= 2( 20+ 15) = 70
The border of the quilt has 70 squares. Each square can have 1 design and there are 6 designs
Number of repetitions for each design = 70/6= 11. 67
6 designs can have 11 repetitions for 66 boxes= 6 *11= 66
4 squares will be left out. 70-66= 4
4 design can have additional repetition.
Meaning out of 6 designs 4 designs will have 12 repetitions and 2 designs will have 11 repetitions.
Or
On the average each design will be repeated 11.67 times.
ANSWER PLS
NO LINKS AT ALL
Answer:
David (1), Billy (2), Allen (5), Conner (7).
Step-by-step explanation:
Use M.A.D to find variability. Basically the higher the M.A.D, the greater the variability. And I don't know for sure, so if wrong tell me.
Please help! I need the work for this.
This is the problem 6⁴=1296
And this is the answer log₆1296=4
Answer:
Step-by-step explanation:
x = 6 hope this helps
lots of point n brainliest SO help rq
Bruce invested a certain amount of money for five years at a rate of 2.25%. At the end of that time, he had earned $675 in interest. How much money was invested? (See Example 3 from your notes.)
a
$6000
b
$6675
c
$6750
d
$5645
Answer:
A. $6000Step-by-step explanation:
Let the invested amount is x.
Then the interest amount is:
x*5*2.25/100 = 6750.1125x = 675x = 675 / 0.1125x = 6000Correct choice is A
Which expression is equivalent to 2⁻⁴ x 2⁴
Answer: You have to provide the options in order for people to help.
Step-by-step explanation:
Write the equation of the line that passes
through the points (3, 1) and (9,-3)
Answer:
y = -2/3 + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 1 / 9 - 3
-4 / 6
-2/3
y = -2/3x + b
1 = -2/3(3) + b
1 = -2 + b
3 = b
y = -2/3 + 3
WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)
Answer:
2(n+1)+2
You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.
find the mode of 2,7,2,1,5,1,2
Answer:
2
Step-by-step explanation:
Mode means the number in an array that is the most common. The most common number (mode) in this array is 2, with 3 entries.
Mel is 7cm less then her grandma's height. Her brother is 11cm taller then his grandma. Together height total 502 cm. What are their heights?
Answer:
Mel's height is 159cm, her brother's height is 177cm and their grandma's height is 166cm.
Step-by-step explanation:
Let the grandma's height be g cm.
Mel's height= (g -7) cm
Brother's height= (g +11) cm
Total height
= Mel's height +brother's height +grandma's height
= g -7 +g +11 +g
= (3g +4) cm
Given that their total heights is 502 cm,
(3g +4) cm= 502 cm
3g +4= 502
3g= 502 -4 (-4 on both sides)
3g= 498
g= 166 (÷3 on both sides)
To find their heights, substitute g= 166 back into the expressions.
Grandma's height= 166cm
Mel's height
= 166 -7
= 159cm
Brother's height
= 166 +11
= 177cm
Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.
Answer:
Step-by-step explanation:
hello can someone please help me
Answer: on what?
Step-by-step explanation:
Answer:
The math looks kind of hard
Step-by-step explanation:
I'm sorry i cannot help, but if anyone wants to try and help make sure to go on her profile and click her latest question or unanswered questions.
solve for x
[tex]\frac{7}{x+4}[/tex] = 4
Give your answer as an improper fraction in its simplest form.
Answer:
-9/4 = x
Step-by-step explanation:
4 is the same as 4/1
this problem is a proportion which can be solved by cross-multiplying:
7 = 4(x+4)
7 = 4x + 16
-9 = 4x
-9/4 = x
The dimensions of this screen are 10 inches by 10 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen.
Answer:
14.14inches
Step-by-step explanation:
Given data
Length L= 10 inches
Width W= 10 inches
The size of the screen is described by the lenght of the diagonal
Applying the Pythagoras theorem we have
D^2= L^2+ W^2
D^2= 10^2+ 10^2
D^2= 100+100
D^2= 200
D= √200
D= 14.14 inches
Hence the size of the screen is 14.14inches
Answer:
A. 14
Step-by-step explanation:
A sign next to the science lab says a person must be 54 inches tall to go in. At his last doctor's appointment, Hever was 4 feet 4 inches tall. He has grown 3 inches since then.
Answer:
Therefore he can go inside because 55 inches is taller than 54 inches.
Step-by-step explanation:
1 feet = 12 inches
His height is 4 feet and 4 inches
4 feet and 4 inches means
= 4*12+ 4
Converting feet into inches
=48+4= 52 inches
His height was 52 inches.
He has grown 3 inches
His new height is 52+3 = 55 inches
Therefore he can go inside because 55 inches is taller than 54 inches.
Which of the following is a polynomial?
O A. x^2 - 1
O B. x^-y+ 2
O c. (x^6 - 2)/(x^4 + 3)
O D. x^4+ x^4 + 16
Answer:
I think it's A...
Step-by-step explanation:
It's been a little while since I've done polynomials, binomials, monomials, etc., so I think I'm right, but sorry if I'm wrong...
Find the surface area and leave your answer in terms of TT=pi
14 mm
29 mm
a
ОООО
800 pi
1357pi
1147 pi
1204 pi
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
What are the factors of the product represented below?
A. (3x + 1) (2x + 2)
B. (3x^3 + 2)(3x^3 + 2)
C. (3x + 1x)(3x + 2)
D. (3x + 2)(3x + 1)
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation: