Answers
Given:
In a right angle triangle, base is 16, perpendicular height is x and the angle of elevation is 10 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In given triangle, using this formula, we get
[tex]tan (10^\circ)=\dfrac{x}{16}[/tex]
[tex]17633=\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]0.17633\times 16=x[/tex]
[tex]2.82128=x[/tex]
Round to the nearest thousandth.
[tex]x\approx 2.821[/tex]
Therefore, the value of x is 2.821 units.
Related Questions
basket contains 7 green apples, 9 red apples, 10 nectarines, and 10 oranges. Sandy randomly chooses a piece of fruit, eats it, then selects another. Find the probability of selecting a red apple then a oranges?
Answers
Answer:
So the probability is 1/14 or 7.14%
Step-by-step explanation:
First lets calculate the total number of fruits:
[tex]7+9+10+10=36[/tex]
Now, calculating the probability of the first fruit being a red apple, we have 9 red apples among 36 fruits, so the probability is 9/36.
Then the probability of the second fruit being an orange will be 10/35 , since we will have 10 oranges among 35 fruits.
Finally the final probability is the product of these two probabilities , so we have:
[tex]P=\frac{9}{36} .\frac{10}{35} =\frac{1}{4} .\frac{2}{7} =\frac{1}{14}[/tex]
So the probability is 1/14 or 7.14%
PLEASE MARK ME AS BRAINLIEST
Let M be the midpoint of LN. If LM = 9 inches what must be the length of LN? (draw a picture if needed!)
Answers
Answer:
LN = 18
Step-by-step explanation:
hope that's the answer..
help me omg pls pls pls
Answers
Answer:
vchj k,.µnkmgjcuvyikuonjlk .m
Step-by-step explanation:
cguvhijnl hkvcgufgvihjonl hkgviuctfviyjkhn
HELP MEEE WHATS THIS QUESTION
What is the difference between the 15th square number and the 8th square number?
Answers
[tex]\huge\boxed{161}[/tex]
Let's start by finding the first 15 perfect square numbers ([tex]1^2, 2^2, 3^2, ...[/tex]):
[tex]1,4,9,16,25,36,49,\bold{64},81,100,121,144,169,196,\bold{225}[/tex]
Next, we just need to find the difference between the 15th perfect square number and the 8th perfect square number, which I've made bold in the list above.
[tex]225-64\\\boxed{161}[/tex]
NEED HELP, please help ASAP!!!!!!!!
Answers
Answer: B
Step-by-step explanation:
Factor the quadratic expression. Write the factors as a product of two binomials.
x² - 7x-8
Answers
Paul and Tisha have summer jobs selling newspaper subscriptions door-to-door, but their
compensation plans are different. Paul earns a base wage of $15 per hour, as well as $3 for
every subscription that he sells. Tisha gets $4 per subscription sold, in addition to a base
wage of $4 per hour. If they each sell a certain number of subscriptions in an hour, they will
end up earning the same amount. How much would each one earn? How many subscriptions
would that be?
Answers
Answer:
t8-67g+pp9
Step-by-step explanation:
it is a tough one but easy in the time
B. The school prom committee sold presale tickets for
$18 each. Couples that showed up on the day of the
dance has to pay $24 each. There were 334 tickets
that were sold and the committee made $7320. How
many students purchased tickets at the dance?
Answers
Answer:
218 students purchased tickets at the dance.
Step-by-step explanation:
Let,
x be the number of presale tickets
y be the number of tickets sold at the dance
According to given statement;
x+y=334 Eqn 1
18x+24y=7320 Eqn 2
Multiplying Eqn 1 by 18
18(x+y=334)
18x+18y=6012 Eqn 3
Subtracting Eqn 3 from Eqn 2
(18x+24y)-(18x+18y)=7320-6012
18x+24y-18x-18y=1308
6y=1308
[tex]\frac{6y}{6}=\frac{1308}{6}\\y=218[/tex]
Therefore,
218 students purchased tickets at the dance.
Angeline would like to make 8 identical bowls for a gift to her family. Each bowl required 34 lbs. of clay. The clay is sold in 5 lb. blocks. How many 5 lb. blocks will she need to buy?
Answers
Answer:
it would take 7 packs for one so she will need 56 bags
Step-by-step explanation:
8x34=272
7x8 =56
Graph the system of linear inequalities.
y < −x + 3
y ≥ 2x − 1
Give two ordered pairs that are solutions and two that are not solutions.
Answers
Answer:
35
Step-by-step explanation:
question thingy
sorry
thanks
shorty
The graph of the system of linear inequalities is shown in the picture with points.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The system of linear inequalities:
y < −x + 3
y ≥ 2x − 1
After plotting the graph, the graph will be a linear equation(as shown in the picture)
From the graph:
The two points are (-2, 2) and (-1, 1)
The above two points satisfy the system of linear inequalities.
The two points that are not solutions:
(4, 2) and (5, 2)
Thus, the graph of the system of linear inequalities is shown in the picture with points.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ2
Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
Answers
============================================
Work Shown:
We'll divide the total 5/8 evenly among the 6 cousins.
(5/8) ÷ 6 = (5/8) ÷ (6/1)
(5/8) ÷ 6 = (5/8) * (1/6)
(5/8) ÷ 6 = (5*1)/(8*6)
(5/8) ÷ 6 = 5/48
Each cousin gets 5/48 of the aunt's assets.
So for instance, if the aunt had $48,000 in assets, then each cousin gets (5/48)*(48,000) = 5000 dollars.
------------------
An alternative approach:
Draw 6 rectangles side by side that represent the 6 cousins. Then divide each rectangle into 8 pieces, with 5 pieces shaded. The yellow pieces represent the amount given to the cousins. For any given rectangle, 5/8 of it is shaded yellow. Refer to the diagram below.
Overall we have 6*8 = 48 pieces.
The first cousin gets 5 yellow pieces out of 48 total. The same applies to the other five cousins. So this is a visual way to arrive at the answer 5/48.
What is 54326+ 5471384
Answers
Answer:
The answer is 5525710
Step-by-step explanation:
Answer:
5525710 is the answer for this question!!!
In the table below, y is a function of x.
Which ordered pair, when added to the table, would cause y to no longer be a function of x?
Answers
Stuff costs $1772 today. If inflation is 8.996, how much will it cost next year?
Answers
Answer:
$1,931.41
Step-by-step explanation:
Subtract the starting date CPI from the later date CPI and divide your answer by the starting date CPI. Multiply the results by 100. Your answer is the inflation rate as a percentage.
Julio says, "if you subtract 14 from my number amd multiply the difference by -6, the results is -72." What is julios number
Answers
What is the value of f(−3) for each function?1.
1. f(x) = 4x − 9
2. f(x) = − 1/3x + 13
3. f(x) = −2x − 11
(TAKE THIS SERIOUSLY PLZ)
Answers
Answer:
1. -21
2 . 14
3. -5
sorry if I'm wrong
Step-by-step explanation:
1. f(x) = 4 (-3) -9
f(x) = -12 - 9
f(x) = -21
2. f(x) = 1/3(-3) +13
f(x) = 1 + 13
3. f(x) = -2 (-3) -11
f(x) = 6 - 11
WILL MARK BRAINIEST... Brayden has a set of five cube-shaped nesting boxes where each box fits inside the next
larger box. The volume of the smallest box is 125 cm3 and the volume of the largest box
is 5x cm3. The side width of the largest box is 5 times the side width of the smallest box.
Find the volume of the largest box.
Answers
Answer: A cylindrical thermos has a radius of 4 inches. It holds 40 fluid ounces. How many ounces will a similar thermos with a radius of 6 inches hold? An You have a set of three similar nesting gift boxes. Each box is a regular hexagonal prism. The large box has 10-cm base edges. The medium box has 6-cm base edges. The small box has 3
Step-by-step explanation:
Help me please,thank you
Answers
Answer:
Repuestas:B
Step-by-step explanation:
Answer:
B..........................
Solve 2x + 6 > 10.
(Select all that apply.)
Ox=-1
Select ALL values of xthat make the inequality true.
x=0
x = 1
Ox=2
x = 3
x=4
Answers
Answer:
x=3 x=4
Step-by-step explanation:
2x > 4
2(2) = 4
2(3) > 4
2(4) > 4
2.Multiply and simplify
Answers
Answer:
the answer is the first one. i just did it and double checked
Step-by-step explanation:
NEED HELP ASAP!!! WILL MARK BARINLIEST!!!
Sally can paint a room in 9 hours while it takes Steve 4 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answers
Answer:
working together, they can paint the room in 4 hrs 14 min
Step-by-step explanation:
Multiply both sides by 72x
8x+%2B+9x+=+72
17x+=+72
x+=+4.24 hrs
.24%2A60+=+14.4
working together, they can paint the room in 4 hrs 14 min
What is the answer to Envelopes are sold in packages of 5o There are 4 large envelopes in each package. How many large envelopes will you get if you buy 200 envelopes? Explain.
Answers
Answer:
16
Step-by-step explanation:
there are 4 in a pack of 50.
200/50=4.
4x4=16.
Which expression is equivalent to -3 (2m - 1) - n?
Answers
Answer:
−6−m+3
Explanation
-3 (2m - 1) - n?
Distribute
−3(2−1)−
−6+3−
Rearange
−6+3−
−6−m+3
Expand the bracket 4(y+9)
Answers
Answer:
4y + 36
Step-by-step explanation:
4 × y = 4y
4 × 9 = 36
4y + 36
Answer:
4 × y = 4y
4 × 9 = 36
4y + 36
Step-by-step explanation:
Harry’s food bill was $18 at Buffalo Wild Wings. He wants to add 20$ for his server. How much will Harry pay? Explain
Answers
Answer: 38$
Step-by-step explanation: 18 + 20 = 38
HELP MATH! HELP PLS!
Answers
Answer:
-48
Step-by-step explanation:
go up by -2 each time
Answer:
-41. its minus 2 every time
Step-by-step explanation:
-1 -3 -5 -7 -9 -11 -13 -15 -17 -19 -21 -23 -25 -27 -29 -31 -33 -35 -37 -39 -41
What is the image point of (3, 6) after the transformation r y=x T -4,-4 ?
Answers
could u solve this pls?
Answers
The bill with the greatest value ever printed in the United States was worth 10 to the 5th power dollars which of the following is equal to the value of the bill
Answers
Answer: 50,000
Step-by-step explanation:
Write an expression for the area of a garden if it has a length of
30ft and a width of x ft.
Question 2
Answers
Answer:
30x = area
Step-by-step explanation:
For area you multiply length by width and so the length is 30 and the width is x so you multiply the two together and since you do not know what x is you just write "x"