Answers
Answer:
≈3.464
Step-by-step explanation:
1. the required 'x' belongs to the hypotenuse of the given triangle. It means, the formula of its length is:
x=4*cos30°=4*sin60°, note sin60°=cos30°=√3/2≈0.866.
2. according to the formula above the required length 'x' is:
x=4*0.866=3.464 (or 2√3)
Related Questions
Find the missing side of the triangle.
11 ft
15 ft
Answers
Step-by-step explanation:
ise Pythagoras theorem
avocado
Pneumonoultramicroscopicsilicovolcanoconiosis
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Answer:
Yes Avocado :>
Step-by-step explanation:
i luv em avocados
a hockey goalie scores 82% of shots at the goal, about how many shots can the goalie predict he will block in 735 tries
Answers
Answer:600
Step-by-step explanation:
10x – 3>-23
Please helpppp
Answers
Answer:
-2 i think i am not sure though
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)
6 of 8
Decrease £19064.67 by 19.5%
Give your answer rounded to 2 DP
G
£
Answers
Answer:
£15347.07
Step-by-step explanation:
Given data
Amount=£19064.67
% decrease=19.5%
let us find the value of 19.5%
=19.5/100*19064.67
=0.195*19064.67
=£3717.6
Hence the new Amount after the decrease is
=19064.67-3717.6
=£15347.07
HELP ASAP!!
Meagan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized
Answers
60%
50%
62.5%
75%
Answers
Answer:
62.5%
Step-by-step explanation:
150/240=0.625
you do 0.625x100 to get the percent.
Factor the trinomial by guess and check.
2c^2 - 14c + 20
Answers
Ingredients for 7 cakes
49 g sugar
56 g butter
70 g flour
63 ml milk
Here is a list of ingredients for 7 cakes. Aaron makes some cakes. He uses 50g of flour. How many cakes did he make?
Answers
Answer:
He made 5 cakes
Step-by-step explanation:
49 divided by 7 = 7
56 divided by 7 = 8
70 divided by 7 = 10
63 divided by 7 = 9
So for one cake you would need 7 g sugar, 8 g butter, 10 g flour, and 9 ml milk. So, 50 divided by 10 = 5 cakes
Help a brother out with some math? Jane bought a desk that was marked down 60% from an original price of $100. If she paid 5% sales tax, what was the total cost of the desk?
Answers
Answer:
45 i think
Step-by-step explanation:
i could be totally wrong about this but im pretty sure that if an initial price is 100 percentages are really easy. so 100 minus 60 is 40 and with a 5 percent tax thats 45.
Describe the y-intercept and end behavior of the following graph:
Answers
Answer:
i did this in school so basicly you need to plug in the numbers.
It is reported that 50% of all computer chips produced are defective. Inspec- tion ensures that only 5% of the chips legally marketed are defective. Unfortunately, some chips are stolen before inspection. If 1% of all chips on the market are stolen, find the probability that a given chip is stolen given that it is defective.
Answers
The required, probability that a given chip is stolen given that it is defective is approximately 0.019, or 1.9%.
To find the probability that a given chip is stolen given that it is defective, we can use Bayes' theorem. Bayes' theorem allows us to update the probability of an event based on new information.
Let's define the events:
A: A chip is stolen.
B: A chip is defective.
We are given the following probabilities:
P(B) = 0.50 (50% of all computer chips produced are defective).
P(B'|A) = 0.05 (inspection ensures that only 5% of the chips legally marketed are defective, which means 95% are not defective).
P(A) = 0.01 (1% of all chips on the market are stolen).
We want to find P(A|B), which is the probability that a given chip is stolen, given that it is defective.
Bayes' theorem states:
P(A|B) = (P(B|A) * P(A)) / P(B)
We can calculate P(B|A) as follows:
P(B|A) = 1 - P(B'|A) = 1 - 0.05 = 0.95
Now, let's plug the values into Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(A|B) = (0.95 * 0.01) / 0.50
P(A|B) = 0.019
Therefore, the probability that a given chip is stolen given that it is defective is approximately 0.019, or 1.9%.
Learn more about Bayes' theorem here:
https://brainly.com/question/29598596
#SPJ12
Simplify the algebraic expression.
5 (4x --- 10)
Answers
20x-50
5 x 4x = 20x
5 x 10 = 50
20 points Which of the following is NOT an advantage of using wind turbines to generate wind power? Wind turbines are not suitable for all geographical locations. O Wind turbines are affordable. Wind turbines do not emit carbon dioxide and do not require sunshine. O Wind turbines cause little disruption of ecosystems.
Answers
the first one is the answer
State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )
Answers
Answer:
[tex]s(p) =\frac{77p}{1075}[/tex]
Step-by-step explanation:
Given
s = sales tax
p = retail price
The variation is represented as:
[tex]s\ \alpha\ p[/tex]
s = 12.32 when p = 172.
Required: Determine function s(p)
[tex]s\ \alpha\ p[/tex]
Convert to equation
[tex]s = kp[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k =\frac{s}{p}[/tex]
Substitute values for s and p
[tex]k =\frac{12.32}{172}[/tex]
Multiply by 100/200
[tex]k = \frac{1232}{17200}[/tex]
Simplify:
[tex]k =\frac{77}{1075}[/tex]
To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]
[tex]s =\frac{77}{1075}p[/tex]
[tex]s =\frac{77p}{1075}[/tex]
Express as a function
[tex]s(p) =\frac{77p}{1075}[/tex]
For each of the following statements, construct an open sentence P (x), P (x, y), or P (x, y, z), where x, y, z are variables, such that for some choice of values of the variables we obtain the original statement and for a different choice of values of the variables, it is possible to obtain a statement whose truth value is different than the original statement.
a. The square of 3 is larger than the cube of 2.
b. 4.3 + 8 = 30.
c. The population of Manitoba is larger than the population of Winnipeg.
Answers
Answer:
a.)
Open statement : P(X,Y) = The square of X is larger than the cube of Y.
b.)
Open Statement : P(X,Y,Z) = X.Y + 8 = Z.
c.)
Open Statement : P(X,Y) = The population of X is larger than the population of Y.
Helppppppppppppppp pleaseeeeee fasttttt with problem 4
Answers
-3229
c= 8
equation would be y= 3229 + c
Plz guys help me plz
Answers
Please help ASAP will give Brainlyest answer :M/5=2
Answers
1. (f + h)(x)
if f(x)= x
Answers
Answer:
not enough info
Step-by-step explanation:
f(x) = x is fine, but without h(x), you can't do (f + h)(x)
help asap please!!snnsjababeushbeebhd
Answers
What is the x intercept of the graph of the inequality 2x + 3y > 12
Answers
Answer: x intercept = 6
This is the location (6,0)
===============================================================
Explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.
how many units apart are (-1,4) and (2,-1)
Answers
Answer:
Those points are [tex]\sqrt{34}[/tex] units apart.
*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.
Answers
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
hello can anyone help me with this one questions?
Answers
Answer: c
Step-by-step explanation:
plz help it's urgent
A museum has 80 African baskets. Which
list shows all the different possible
arrangements so that all the rows have
the same number? Assume that an
arrangement such as 4 20 is the
same as 20 4.
A 1 80; 4 20; 8 10
B 1 80; 2 40; 4 20; 5 16; 8 10
C 2 40; 5 16; 8 10
D 2 40; 4 20; 5 16; 8 10
Answers
Answer:
D 2 40; 4 20; 5 16; 8 10
Step-by-step explanation:
Given
[tex]Baskets = 80[/tex]
Required
Arrange in rows and columns
To do this, we simply list out the multiplied factors of 80.
So, the arrangement is as follows:
[tex]1: 2 * 40[/tex]
[tex]2: 4 * 20[/tex]
[tex]3: 5 * 16[/tex]
[tex]4: 8 * 10[/tex]
Hence, (d) is correct
Emily went to a store to buy beads for her necklace. the red (R)beads cost $0.05 per bead, the blue (B) cost $0.15 per bead. the green (g) bead cost $0.25 ped bead. How much will it cost if Emely buys 4 read beads, 5 blue bead and 3 green beads
Answers
Answer:
R=20cents
B=75cents
G=75 cents
$1.70
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 55% of all potential purchasers select a day visit, 25% choose a one-night visit, and 20% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 25% of night visitors make a purchase, and 20% of those visiting for two nights make a purchase. Suppose a visitor is randomly selected. What is the probability that the visitor makes a purchase
Answers
Answer:
0.1575 = 15.75% probability that the visitor makes a purchase
Step-by-step explanation:
We have these following probabilities:
55% probability that a visitor selects a day visit, and in this case, 10% probability of making a purchase.
25% probability that a visitor chooses a one-night visit, and in this case, 25% probability of making a purchase.
20% probability that a visitor chooses for a two night visit, and in this case, 20% probability of making a purchase.
What is the probability that the visitor makes a purchase
[tex]p = 0.55*0.1 + 0.25*0.25 + 0.2*0.2 = 0.1575[/tex]
0.1575 = 15.75% probability that the visitor makes a purchase
A man wishes to keep some money in savings de-
posit at 25% compound interest so that after 3
years he can buy a car for N150000. How much
does he need to deposit now?
Answers
Answer:
He needs to deposit N76800 now.
Step-by-step explanation:
The amount of money is compound interest after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.
25% compound interest so that after 3 years to buy a car for N150000.
This means that:
[tex]t = 3, P(t) = 150000, r = 0.25[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.25)^t[/tex]
[tex]P(t) = P(0)(1.25)^t[/tex]
[tex]150000 = P(0)(1.25)^3[/tex]
[tex]P(0) = \frac{150000}{(1.25)^3}[/tex]
[tex]P(0) = 76800[/tex]
He needs to deposit N76800 now.
A water pipe is 3 feet below the ground. A gas pipe is 8 feet below the ground. Which pipe is
higher? EXPLAIN YOUR ANSWER
Answers
3 feet is less than 8 feet so if you go down 8 feet it would be deeper than 3 feet making the water pipe higher.
I need help on this, please!
Answers
Answer:
(5,9) and (5,3)
Step-by-step explanation:
Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.
The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.