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
for such more question on right triangle
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Is a trapezoid always a square?
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
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
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 ?
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!!!
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
Фhelp me out please im so confused!
pleaSE?
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
Answer:
(B.) f(x) = |x|
Step-by-step explanation:
Just took the test%
Number six please help!
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 = 11b)
(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.
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
find the volume of the composite figure
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?
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
Answer:
D. The area is 4 times the original circleStep-by-step explanation:
The circumference:
C = 2πrIf the circumference is doubled, it means the radius is doubled.
The area:
A = πr²And the new area:
A1 = π(2r)² = 4πr² = 4ACorrect 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
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?
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 identitiesAs 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 proofWe 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)
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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
Find the measures of the interior angles of the triangle. Help plz
Answer:
A=65
B=40
C=75
Step-by-step explanation:
C= 180-65-40
=75°
Math Minute 92b
can you guys help?
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
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)
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
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
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)
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%?
Answer:
92 cents
Step-by-step explanation:
14.20×6.5%=0.923
PLEASE ANSWER I WILL GIVE BRAINLIEST
Answer:B because you multiply all the similar numbers together then at the end you add them all up.
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.
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
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
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
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
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