Step-by-step explanation:
Tan30=4/adj
adj Tan 30= 4
adj=4/tan30
adj=6.93m
Area=L×b
4×6.93=27.72m
Find the sale price.
Original price: $50
Discount: 15%
Sale price: $_____
Answer:
The new price is 42.50
Step-by-step explanation:
First find the discount
50 *15%
50 *.15
7.5
Subtract this from the original price
50-7.5
42.50
The new price is 42.50
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer: 31.2
Step-by-step explanation:
What is the slope of the line with points of (0,-1)) and (2,3)
Answer:
2
Step-by-step explanation:4divided by 2 =2
Answer:
2
Step-by-step explanation:
[tex]x_{1}=0; y_{1}=-1\\\\x_{2}=2 ; y_{2}=3\\\\Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{3-[-1]}{2-0}\\\\=\frac{3+1}{2}\\\\=\frac{4}{2}\\\=2[/tex]
А
E
с
D
В
If mZACD = 100°, then mZECB = [?]°
Answer:
100
Step-by-step explanation:
they are vertical angles therefore, they have the same measure.
Solve for the answer.
Let x=10
4x + 12=
(A) 0.52
(B) 5.2
(C) 52
Answer:
c 52
Step-by-step explanation:
x=10
4 ×10=40
40+12=52
We are drawing a 5-card hand from a standard 52-card deck a. What is the probability that all the cards are spades? (5pts)
Answer:
0.0005 = 0.05% probability that all the cards are spades.
Step-by-step explanation:
The cards are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
52 cards means that N = 52.
13 of the cards are spades, which means that k = 13.
5 card hand means that n = 5.
What is the probability that all the cards are spades?
This is P(X = 5). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 5) = h(5,52,5,13) = \frac{C_{13,5}*C_{39,0}}{C_{52,5}} = 0.0005[/tex]
0.0005 = 0.05% probability that all the cards are spades.
A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?
Answer:
$2,000 at 9%
$8,000 at 4%
Step-by-step explanation:
(4x * .04) + (x * .09) = 500
.16x + .09x
.25x = 500
x = $2,000 at 9%
4x = $8,000 at 4%
Answer:
2000 at 9%
8000 at 4%
Step-by-step explanation:
Let the principle at 9% = x
The principle at 4% = 4*x
Together they give 500 dollars.
9% = .09
4% = ,04
Both are invested for 1 year
0.09 * 1 * x + 0.04 * 1 * 4x = 500
0.09x + 0.16x = 500
0.25x = 500
x = 500 / 0.25
x = 2000
She invested 2000 at 9%
She invested 4 * 2000 at 4%
Write an inequality that represents all of the solutions to 3x+1<7
Answer:
x<2
Step-by-step explanation:
To solve this, you want to use a similar method to equations, where you isolate the x.
We start with 3x+1<7.
Subtracting 1 from both sides gives 3x<6.
Dividing both sides by 3 gives us the final result of x<2.
**This content is related to linear inequalities, which you may want to revise. Looking at linear equations too might help you practice. I'm always happy to help!
Will give brainliest
Answer:
13/50
Step-by-step explanation:
13 does not have any factors w except 1 and 13, so you can't simplify it anymore than 13/50.
Please help it's urgent!Need help quick!
Answer:
Solution
Step-by-step explanation:
Hope this helped :)
De un total de 40 alumnos, a 36 les gusta ir al cine. ¿Cuál es el porcentaje de alumnos a los que les gusta ir al cine?
Answer:
o amar kotay 你最喜歡的動漫,我很抱歉成為你的問題,但你給了你 50 ru 複製你的業務和不歸還的總和,但你給了你我應該有第二個的 y 軸是
The percentage of students who like to go to the movies is 90%.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that of a total of 40 students, 36 like to go to the movies
We can write the percentage of students who like to go to the movies as follows -
{x}% = (36/40) x 100
{x}% = (9/10) x 100
{x}% = 90
Therefore, the percentage of students who like to go to the movies is 90%.
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{
Question in English is given as follows -
Of a total of 40 students, 36 like to go to the movies. What is the percentage of students who like to go to the movies?
}
A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyramid is 238.5 sq inches. Is rain correct? Use the drop down menus to explain your reasoning.
Answer:
Rain is correct, calculates correctly, 238.5 square inches
Step-by-step explanation:
The given triangular pyramid is shown with the dimensions.
The surface area of the triangular pyramid is given by :
[tex]$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$[/tex]
[tex]$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$[/tex]
[tex]$A=43.5+(3\times 65)$[/tex]
[tex]$A=43.5+195$[/tex]
[tex]$A=238.5 \ \text{inche}^2$[/tex]
Therefore, the surface area of the triangular pyramid is = 238.5 square inches.
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
What is the marginal relative frequency of survey participants who are girls?
0.06
0.5
0.43
17
Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:
f = 17/40 = 0.425
Which is rounded to 0.43.
More can be learned about relative frequencies at https://brainly.com/question/15164292
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N
There are many ways to make the same graph using trigonometric functions. Which of the
following equations creates a different graph from the other three equations?
O y = 2 sin(4x - 5)
O y = -2 sin(4x - 1)
O y = -2 cos(4x - 2)
O y = -2 cos(4x - )
Answer:
15000
Step-by-step explanation:
The depth of the water in the container at the beginning of the day on monday was 24 3/4 inches. What was the depth of the water in the container at the end of the day on friday
Answer:
25 1/4 inches
Step-by-step explanation:
Given :
Day ___ Mon ___ Tue ___ Wed ___ Thur ___Fri
△depth _-3/8 ___ - 1/8 ___ 1/2 ____ - 1/4 __ 3/4
Depth of water at the beginning = 24 3/4
Depth of water at the end of Friday:
24 3/4 - 3/8 - 1/8 + 1/2 - 1/4 + 3/4
24 3/4 + (-3/8 - 1/8 + 1/2 - 1/4 + 3/4)
24 3/4 + (-1/2 + 1/2 + 3/4)
24 3/4 + ( - 1/4 + 3/4)
24 3/4 + 1/2
24 + (1 1/4
24+ 1 + 1/4
25 1/4
am pls answer this sorry
Answer:
16. 1
17. 3
18. 1
19. 1
20. 1
Step-by-step explanation:
I'm sorry that I don't speak in Filipino but I can help fill in the blanks.
(In brackets is the English translation)
12 pulgada = 1 piye (12 inch is 1 foot)
1 yard = 3 piye (1 yard is 3 feet)
10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)
1000 metro = 1 kilometro (1000 meters is 1 kilometer)
10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)
The heights of 20-year-old females are normally distributed with a mean of 64 inches
and a standard deviation of 2 inches. What is the z-score for a height of 67 inches?
Answer:
1.5
Step-by-step explanation:
Applying,
Z = (x-μ)/σ................. Equation 1
Where Z = Z score for a height of 67 inches, x = height, μ = mean of the height, σ = standard deviation of the height.
From the question,
Given: x = 67 inches, μ = 64 inches, σ = 2 inches.
Substitute these values into equation 1
Z = (67-64)/2
Z = 3/2
Z = 1.5
Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes
Help
solving variables on both sides
Step-by-step explanation:
7x + 2 = 4x + 0
both sides substracted by 2
7x = 4x -2
both sides substracted by 4x
7x-4x = -2
3x = -2
both sides divided by 3
3x/3 = -2/3
=> x = -⅔
[tex]\\ \sf\bull\dashrightarrow 7x+2=4x+0[/tex]
Any no added with 0 will the number itself.Hence omit zero[tex]\\ \sf\bull\dashrightarrow 7x+2=4x[/tex]
[tex]\\ \sf\bull\dashrightarrow 7x-4x=-2[/tex]
[tex]\\ \sf\bull\dashrightarrow 3x=-2[/tex]
[tex]\\ \sf\bull\dashrightarrow x=\dfrac{-2}{3}[/tex]
I
Acellus
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3
The volume of the cone to the nearest whole number is 1283 m³
How to determine the volumeFormula for volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]
Slant height = 25m
If diameter = 14m , radius = 14/2 = 7m
Pie = 22/7
Substitute values into formula
We have,
Volume = [tex]3. 142 * 7 * 7 * \frac{25}{3}[/tex]
Volume = [tex]1,282. 98[/tex]
Volume = [tex]1283 m^3[/tex] in the nearest whole number
Thus, the volume of the cone to the nearest whole number is 1283 m³
Learn more about a cone here:
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If (x + 1, 4) = (5, y –1), find the values of x and y.
Answer:
x = 4 and y = 5
Step-by-step explanation:
(x +1 , 4) = (5 , y -1)
compare the corresponding values
x + 1 = 5
x = 5 - 1
x = 4
4 = y - 1
4 + 1 = y
5 = y
David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?
HELP ASAP PLEASEEEEE!!!
Answer:
16 pennies
Step-by-step explanation:
74 - 18 = 56
56 / 7 = 8
1/7 of the pennies is 8 pennies.
2/7 of the pennies are 16 pennies.
Answer:
18 pennies
Step-by-step explanation:
74-18=56
56/7=8
8x2=16
Which of the following is NOT true?
A. Parallel lines are always in the same plane.
B. Perpendicular lines never intersect at right angles.
C. Parallel lines never intersect each other.
D. Perpendicular lines are always in the same plane.
The statement that is not true is
B. Perpendicular lines never intersect at right angles.
The definition of perpendicular lines is that they will intersect each other at 90 degree angles.
Answer:
B. Perpendicular lines never intersect at right angles.
Step-by-step explanation:
The perpendicular lines are lines that intersect at a right (90 degrees) angle. So, the option (B) is wrong and not true.
Could you help me with this question I am finding it a little bit hard.
Answer:
[tex] \frac{5 + 4 {m}^{2} }{4mn} [/tex]
Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale .
Answer:
The SAS theroem proves that triangles are similar
Step-by-step explanation:
It means they are similar, not necessarily that they are exactly the same ;).
Answer:
AA Postulate
Step-by-step explanation:
Can someone help or explain the problem to me
Answer:
I think I explained the circle one before so I'll explain the left question because I wanted some points.
here,
area of circle is πr² which is given= 12 π cm²
so πr²= 12π
r= 2√3
d= 2r= 4√3
AB is diameter so AB= 4√3
Please help me I don’t know this
Answer:
28 degrees
Step-by-step explanation:
68 = 2m + 12
56 = 2m
m = 28 degrees
find the value of x. round
to nearest degree
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{20}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{11}{20}[/tex] ) ≈ 57° ( to the nearest degree ) → B
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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What’s the
mean
Median
Mode
Answer:
mean: 4.5 (1dp)
median: 4
mode: 6
Step-by-step explanation:
mean:
0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113
113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place
median:
(middle) = 4
mode:
(most occurring) = 6