Solve for x. Round your answer to two decimal places. Show your work for full credit.
Answers
Answer:
x ≈ 14.30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define variables
∅ = 39°
opposite leg = 9
hypotenuse = x
Step 2: Solve for x
Substitute: sin39° = 9/xMultiply x on both sides: xsin39° = 9Isolate x: x = 9/sin39°Evaluate: x = 14.3011Round: x ≈ 14.30Related Questions
The Lopez Family meets with a financial planner who advises them to save 15% of their income per month for college savings for their children. They earn $8,540 per month. How much will the Lopez family save each month for future college expenses?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
$1281.00
Step-by-step explanation:
8540*15%=1281
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answers
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
Evaluate -9x-2 when x =-4
Answers
Answer:
34
Step-by-step explanation:
So -9x is 36,36-2=34
Answer:
34
Step-by-step explanation:
-9(-4)-2
36-2
34
Which expression is equivalent to 4(x+12)
Answers
Answer:
4(x + 12) = 4x + 48
Step-by-step explanation:
Answer:
2(2x + 6)
Step-by-step explanation:
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)
Answers
Answer:
Expressions C and D correctly determine the markup price.
Step-by-step explanation:
A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.
When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.
[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]
Therefore, with this new decimal, we can add 1 to it.
[tex]1 + 0.32=\small\boxed{1.32}[/tex]
Finally, we multiply this result by the original price.
[tex]1.32 \times 400=\small\boxed{528}[/tex]
Therefore, we can already confirm that Expression C is one way to find the markup price.
We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.Now, we can test the math for expressions D and E to see if either of these will equal $528.
Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.
[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]
Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.
[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]
Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.
Two students are pulling an object with ropes. One student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground. What is the direction of the resultant force?
approximately 37.33° above the ground
approximately 42.27° above the ground
approximately 47.73° above the ground
approximately 53.13° above the ground
Answers
Answer: A. approximately 37.33° above the ground
Step-by-step explanation:
edge2020
The the direction of the resultant force is A. approximately 37.33° above the ground.
What's a resultant force?A resultant force simply means the single force that has same effect as two or more forces that are acting together.
In this case, a student pulls with a force of 40 pounds at an angle of 30° above the ground, and the other student pulls with a force of 35 pounds at an angle 45° above the ground.
The direction of the resultant force is 37.33° above the ground.
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(Urgent please help!!!) Maria earned $5,250; $4,800; $3,990 and $5,120 from her home business during the last four months. What was her average monthly income during this period?
Answers
19160 / 4 = $4,790 average monthly income
I need hep with the range
Answers
Answer:
[-7, 6]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.
What is the gcf of 51 and 3
Answers
Answer:
3
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3So the greatest number of both is 3
Hope this helps
One night a theater sold 540 movie tickets. An adult's ticket costs $8 and a child's ticket costs $5. In total, the theater earned $2880. How many adult tickets and child tickets were sold?
Answers
Answer:
are there any answer choices
Answer:
3433 tickets
ithink
Step-by-step explanation:
In the figure shown, which theorem can be used to show that ABC = ADEF?
O A The triangles are not congruent.
OB SAS Triangle Congruence Theorem
OC AAS Triangle Congruence Theorem
OD ASA Triangle Congruence Theorem
Answers
Pick choice-C ... AAS.
When I learned Geometry (during the late Pleistocene epoch), I don't remember ever using AAS.
BUT ... If you know 2 angles of a triangle, then you know all three, because they all add up to 180.
So if you have AAS=A'A'S', then you also have ASA=A'A'S', which was a congruence theorem even way back then.
Ahhh the good old days. We rarely got any homework, because the teachers all knew that the clay tablets would ruin our backpacks.
For each triangle, check all that apply.
PHOTO ABOVE
⚠️TEST
Answers
Answer:
Step-by-step explanation:
Triangle A - Equilateral triangle because all the angles are equal which means all the sides will be equal.
Triangle B - Isosceles Triangle because 2 sides are equal (we know this because 2 of the angles are equal)
Triangle C - Equilateral triangle because all the sides are equal.
Triangle D - Scalene triangle because all the sides have different lengths.
How do you solve n=17
Answers
Answer:
uhm chile anyways
Step-by-step explanation:
i just want points lol
a hiker walks 6km uphill along a trail, then returns downhill along the same trail. the hikers average speed is 2km/h greater on the downhill journey. write a simplified rational expression for the total time spent hiking un terms of average speed uphill, v km/h
Answers
Answer:
i
Step-by-step explanation:
he went slower go down because you try sliding gong down
What is 3 1/3 times 3?
Answers
Answer:
10
Step-by-step explanation:
friend chicked for life
Jose tacking care of a nabers cat for 5 days he has 3 cans of food he needs to feed the cat the same amont every day howw much food shold joes feed the cat per day
Answers
Answer:
If the owner left only 3 cans of food for 5 days, that means that we have to divide those cans of food so we can just do simple math and divide 3 by 5
3/5 and you get 0.6
So the cat must eat 0.6 of each can everyday.
chemical formula for lithium bromide
Answers
Answer:
The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.
Step-by-step explanation:
hope this helped:)
Answer:
lithium bromide is a chemical compound of lithium and bromine
Step-by-step explanation:
Br-Li+
Can someone help me with part b on this question please?
Answers
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
The Pythagorean theorem applies:
(12 cm)² +b² = (17 cm)²
b² = (289 -144) cm² = 145 cm²
b = √145 cm ≈ 12.04 cm
b ≈ 12.0 cm . . . . rounded to 1 decimal place
Place the steps in the correct order
Answers
Answer:
1. Add x on both sides.
2. Divide both sides by 4.
3. Add 20 to both sides.
4. Divide both sides by 3.
Brainliest Appreciated! Hope I helped!
Seth has game and education apps on his tablet. He noticed that he has 5 game apps for every 2 education apps. Which of the following is another way to write this ratio?
2:3
2:5
3:2
5:2
Question 4(Multiple Choice Worth 3 poi
Answers
Answer:
it would be 5:2
Step-by-step explanation:
none of these are equivalent to the ratio and 2:5 would be 2 to 5
Answer:
5:2
Step-by-step explanation:
Relationship B has a greater rate than Relationship A. This graph represents Relationship A. Which equations could represent Relationship B? Select each correct answer.
Answers
Answer:
The answer is A. Sorry, i dont have enough time to support my answer. I am rushing sdjeuesjcvjs
n(A)=10
n(B) = 12
n(AUB) = ?
Answers
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33
IM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK?
ILL MARK U BRAINIEST
Answers
Answer:
12
Step-by-step explanation:
it’s 12 because 4 x 3 = 12
Plug the given values into the equation:
pi4^2*3
Evaluate
pi16*3
The volume of the cylinder in terms of pi is 48 pi units cubed.
For an exact answer, use 3.14 for pi and evaluate:
3.14*4^2*3
3.14*16*3
The volume of the cylinder is 150.72 units cubed.
I NEED HELP LIKE ASAP Which ratios are equivalent to 3 parts silver paint to 4
parts green paint? Check all that apply.
O4:5
O 6:8
O 5:6
O9:12
Answers
Answer:
its o4:5
Step-by-step explanation:
Explanation
Because when u seee 2 parts it’s the same
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 mystery books. How many shelves will he need to build?
Answers
Answer:
37.2 = 38
Step-by-step explanation:
After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
The sum of two complementary angles is 90 degrees.
Angle A + Angle B = 90
Let Angle B = X
5x + 2 + x = 90
Combine like terms:
6x +2 = 90
Subtract 2 from both sides:
6x = 88
Divide both sides by 6:
x = 88/6
x = 14.67
Angle B = 14.67 degrees ( rounded to the nearest hundredth)
NEED ASAP . Plz help
Answers
Pete has a blueprint that shows the layout of his house. Every 4 inches on the blueprint represents 3 feet of the actual house. One of the walls on the blueprint is 30 inches long. What is the actual length of the wall?
Answers
7.5 * 3 = 22.5 feet long
Answer:
30÷4=7.5 ft ?I'm not sure if it's right
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width. The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height. Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
Answers
Answer:
Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
3x2 + 15x = 252
Is it possible for the width of the tray to be 7.5 centimeters?
no it is too large
Step-by-step explanation:
An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the width of the rectangular prism die be represented by x.
Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,
Width = x
Length = x + 5
Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,
Volume = Length × Width × Height
252 = (x + 5) × x × 3
252 = 3x(x+5)
252 = 3x² + 15x
3x² + 15x - 252 = 0
Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.
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interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77
Answers
Answer: 9
Step-by-step explanation:
Population size=7
Lower quartile=71
Upper quartile=80
67 Is or es el 67
Jajaja