UDD Question 6 10 pts Solve for x. Round to the nearest tenth (one decimal place). Just type the number, no unit of measurement. G X 240 DI F 48 Next * Previous
Answers
Answer:
The answer is;
54.4
Step-by-step explanation:
The given parameter are;
Triangle ΔFGH = Right triangle
The length of segment [tex]\overline {FH}[/tex] = 48
The measure of ∠HFG = 28°
The measurement required = The measure of segment [tex]\overline {FG}[/tex] = x
The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle
Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°
∠FGH = 62°
By sine rule, we have;
[tex]\overline {FH}[/tex]/(sin ∠FGH) = [tex]\overline {FG}[/tex]/(sin(∠FHG)
By substituting the known values, we have;
48/(sin 62°) = x/(sin(90°)
sin(90°) = 1, therefore, we have;
x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)
x = 54.4
Related Questions
Reduce to simplest form.
-7/12 +3/8
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Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
solve the inequality j + 6 < 9
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Explain why the measure of angle 2 is greater than the measure of angle 3
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Answer: number 2 is a obtuse angle and number 3 is a right angle
Once again, I need help
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Answer:
40x-24y
Step-by-step explanation:
how u need help, just do
8 times 5x
then 8 times -3y
Answer:
the answer to 3 is the first one, 40x-24y
Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each gallon of milk costs $4.49. Consider the expression 2.79x + 4.49 (x-3).
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
Answers
Answer: all statements are true.
Step-to-step explanation:
Given: Cost of 1 box of cereal =$2.79
Cost of x boxes of cereal= $2.79 x
Each gallon of milk costs $4.49.
Hank bought 3 more boxes of cereal than gallons of milk.
gallons of milk = x-3
Total cost = (cost per box of cereal) × (x) +(Cost per gallon of milk) × (x-3)
= 2.79x + 4.49 (x-3)
All statements are correct:
A. The term x- 3 represents the number of gallons of milk.
B. The coefficient 2.79 represents the cost of one box of cereal.
C. The expression represents the total number of boxes of cereal and gallons of milk.
92
7683
What the answer
Answers
Answer:
9
Step-by-step explanation:
Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?
Answers
Answer:
Emily is going to spend $285
Step-by-step explanation:
You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.
A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?
Answers
Answer:
y = 3x -10
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
I took a screenshot of the graph below, as an example of the rise over run method.
3 ÷ 1 = 3
To find the y intercept, count down on the graph until you reach the point where the line crosses.
In this case, the line crossed at -10 on the y-axis.
(Look at the second image)
So plug the numbers into the equation, and then you get y = 3x -10.
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?
Answers
Answer: A≈47791.31
Step-by-step explanation:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
25000
r
=
0.036
t
=
18
n
=
365
P=25000r=0.036t=18n=365
Given values
A
=
25000
(
1
+
0.036
365
)
365
(
18
)
A=25000(1+
365
0.036
)
365(18)
Plug in values
A
=
25000
(
1.0000986301
)
6570
A=25000(1.0000986301)
6570
Simplify
A
=
47791.3122461
A=47791.3122461
Use calculator
A
≈
47791.31
A≈47791.31
The amount after 18 years will be $47,791
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded daily.
A = P(1+r/365)^n*365
A = 25000(1+0.00009863)^6570
A = 25000(1.00009863)^6570
A = 47,791
Hence, The amount after 18 years will be $47,791
For more references on compound interest, click;
https://brainly.com/question/14295570
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Please Help! Freshman in high-school Algerbra 1
Answers
Answer:
yes
Step-by-step explanation:
0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof
PLEASE ANSWER QUICKLY! I WILL GIVE BRAINLIEST.
What is 5/6 of 1/2?
A. 5/12
B. 6/12
C. 5/8
D. 6/8
Answers
Answer:
5/12
Step-by-step explanation:
of means multiplication. so multiply 5x2 / 6x2 which is 5/12
Answer:
A. 5/12
Step-by-step explanation:
the "of" in the answer is asking you to multiply.
what you want to do is multiply the numerators and denominators.
5 x 1 = 5
6 x 2= 12
giving you 5/12!
hope this helps <3
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answers
Answer:
49?
Step-by-step explanation:
What is the lateral surface area of the triangular pyramid?
Answers
Prove that if two crosses are equal, than each pair of crosses are equal.
Answers
If two crosses are equal then they’re gonna be equal.
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answers
Answer:
B
Step-by-step explanation:
The other are equal
A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for . 23 in. 24 in. 25 in. 26 in.
Answers
Answer:
23 in
Step-by-step explanation:
We know the area of the circular disc is A = πr² where r = radius and π = 3.14.
So, r = √(A/π)
Now, if A = 1650 square inches,
r = √(A/π)
= √(1650 in²/π)
= √525.48 in²
= 22.92 in
≅ 22.9 in
Also, if A = 1700 square inches,
r = √(A/π)
= √(1700 in²/π)
= √541.40 in²
= 23.27 in
≅ 23.3 in
If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²
then, the radius is between 22.9 in < r < 23.3 in.
Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the area of the circular disc is 1650in², the radius r will be;
A = πr²
1650in² = 3.14 × r²
r² = 1650in² / 3.14
r² = 525.4777in²
r = √( 525.4777in² )
r = 22.9in
Also, if the area of the circular disc is 1700in², the radius r will be;
A = πr²
1700in² = 3.14 × r²
r² = 1700in² / 3.14
r² = 541.40127in²
r = √( 541.40127in² )
r = 23.3in
Next we take the average of the two radii
Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
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Consider the line shown on the coordinate plane
What is the equation of the line in the form y = mx + b?
10
Drag numbers to the boxes to complete the equation in the form
y = m + b
8
7
6
y
2
3
PH
-4
.: 2
:: 2
::
:: +2
-10-9-8-7-5-4-3 -2 -1 0
.: +4
-5
-
1
2
3
.
5
8
7
Finish Later
Submit
✓
150 PM
Type here to search
1/15/2021
Answers
Answer:
y=1/2x+2
Step-by-step explanation:
hope it helps ^^
Plz sum 1 help quickkkkk
Answers
Answer:
D
Step-by-step explanation:
VW = FG
hope this helps...
F(-2)=15, F(1)=9 can someone help me please
Answers
Answer:
y= -2x +11
Step-by-step explanation:
the 2 points: (-2,15) and (1,9)
find the slope: 6/ -3 = -2
find y-intercept: 9 = -2 + b b=11
Plzz help me ill give u brainlist
Answers
Answer:
A
Step-by-step explanation:
You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.
Your friend claims that a triangle with side lengths of a, b, and c will have half the area of a triangle with side lengths of 2a, 2b, and 2c. Is your friend correct?
Answers
Answer:
My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c
Step-by-step explanation:
Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.
So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]
= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]
= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.
So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]
= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]
= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4
So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.
I don’t understand, can someone please help.
Answers
Answer: 40
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
All triangles has the sum of the internal angle equal to 180
2x+10+3x+x+50=180
Combine like terms
6x+60=180
Subtract 60 on both sides
6x=120
Divide 6 on both sides
x=20
Hope it helped :))
A table of equivalent ratios is given.
What is the missing number in the table?
Answers
Answer:
It's 30
..................
they all are equal to 1:3
so 90/3=30
answer is 30 !
answer these 2 questions if ur smart?!?!?
Answers
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
1. [tex]8x^2+xy-15y^2[/tex] 2. [tex]10x^2 + 28x + 15[/tex]
Step-by-step explanation:
For Question 1:
[tex](4x + 5y) (2x - 3y) + 3xy[/tex]
= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]
[tex]=8x^2+xy-15y^2[/tex] (cannot simplify any further)
For Question 2:
[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]
[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]
[tex]=10x^2 + 28x + 15[/tex] (cannot simplify any further)
3+2x=17 I’m taking a test
Answers
Answer: x=7
Step-by-step explanation:
2x=17-3
2x=14
X=7
-3 + 2x = 17 -3
2x = 14
2x/2 = 14/2
x = 7
✨PLEASE PLEASE HELP DUE SOONNN✨
Answers
glad to help!
The sum of four consecutive integers is -26. What are the integers? A book has pases.
Answers
Answer:
In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.
Step-by-step explanation:
the number of employees for a certain company has been decreasing each year by 2% if the company currently has 870 employees and this rate continues, find the number of employees in 9 year
Answers
Step-by-step explanation:
Number of employees in 9 years
= 870 * (1 - 0.02)⁹
= 870 * (0.98)⁹
≈ 725 employees.
Rashawn kept a record of how many hours he spent listening to music for 6
days during school vacation and displayed his results in the table below.
Day
Monday
6
Tuesday Wednesday Thursday
5
5
6
Friday
5
Saturday
7
Number of Hours
Calculate the median number of hours Rashawn listened to music for the 6
days.
Answers
Answer:
The median is 5.5
For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answers
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]
The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
