Answers
Answer:
E
Step-by-step explanation:
[tex]cos30 = \frac{ \sqrt{3} }{2} [/tex]
The formula for cosines is
Adjacent/hypotenuse
So it is sqrt 3/ 2
Related Questions
The number of students in chorus increased 25 percent this year. If there are 20 more students in chorus this year than there were last year, how many students are in chorus this year
Answers
Answer:
100
Step-by-step explanation:
if 25% is 20, 20*4=80
80+20=100
What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is negative 2 to negative 1. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 02 0. 14 0. 34 0. 84.
Answers
The area under the shaded region from 1 to 2 is 0.14
What will be the shaded region area?Probabilities actually define the percentage of the happening of an event
Here the shaded region shows the probability of the z-scores
The shaded region 1 to 2 is represented as:
[tex]P(1 < z < 2)[/tex]
By using the probability of z-score we can have
[tex]P(1 < z < 2)=P(z < 2)-P(z < 1)[/tex]
From the given standard normal table:
[tex]P(z < 2)=0.9772[/tex]
[tex]P(z < 1)=0.8413[/tex]
So, we have:
[tex]P(1 < z < 2)=0.9772-0.8413[/tex]
[tex]P(1 < z < 2)=0.1359[/tex]
The approximated value will be
[tex]P(1 < z < 2)=0.14[/tex]
Thus the area under the curve shaded is 1 to 2 is 0.14
To know more about Z- probability follow
https://brainly.com/question/25638875
, when substituted for the variable, makes the equation 5 x − 3 = 7 true?
Answers
Answer:
x should equal 2
Step-by-step explanation:
5x2=10
10-3=7
Elaine is in London for one day only. She only has time to see two shows of the three shows she likes. The shows are Hamilton, Aladdin and Thriller. She makes her choice of the two shows at random. What is the probability that she sees Aladdin and Thriller?
Answers
Answer:
[tex]\frac 13[/tex]
Step-by-step explanation:
All three shows she likes are Hamilton, Aladdin, and Thriller.
But she can watch only two shows among the three shown.
The possible combination of the shows she can watch are
(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).
So, the total number of possible events (available options)= 3.
As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.
So, the number of favorable event=1
Now,
[tex]\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}[/tex]
[tex]=\frac{1}{3}[/tex]
Hence, the probability that she sees Aladdin and Thriller is [tex]\frac 1 3[/tex].
8 cupcakes cost $32. What is the unit cost per cupcake?
Answers
Used calculator!
============================================================
Explanation:
The "per cupcake" means "for each cupcake" or "for 1 cupcake".
To get that initial "8 cupcakes" into "1 cupcake", we divide both given values by 8
8/8 = 132/8 = 4The ratio 8 cupcakes : $32 then becomes 1 cupcake : 4 dollars
In other words, the unit cost is 4 dollars per cupcake.
A person invests 4500 dollars in a bank. The bank pays 5.75% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10000 dollars?
Answers
Answer:
Around 10.6 years
Step-by-step explanation:
5.75% of 4500 is 258.75
then we will need to subtract the current amount from the final amount.
10000-4500=5500
next
5500/258.75=21.256
finally
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
We have given that
A person invests 4500 dollars in a bank.
The bank pays 5.75% interest compounded semi-annually.
Therefore we have,
What is compounded semi-annually?The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period
5.75% of 4500 is 258.75
[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]
Then we will need to subtract the current amount from the final amount.
10000-4500=5500
5500/258.75=21.256
21.256/2=10.628
The person leaves the money in the bank until it reaches 10000 dollars.
To learn more about interest compounded semi-annually visit:
https://brainly.com/question/26875083
question 6 Which set of coordinates does NOT represent a function?
Answers
Answer:
The first one
Step-by-step explanation:
You can't repeat coords on the x or y coordinate, meaning that the one to the left is wrong because it is the only one that repeats
Answer:
First table
Step-by-step explanation:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain(x) is matched with exactly one element in the range(y). If so, you have a function!
Let's try it on the first table; Lucky us! we found it! the value 1 and 2 repeat more than once connecting with with two DIFFERENT y values!
How is the right triangle formed? In other words, describe the lines that make leg “a” and leg “b” and the hypotenuse “c” of the right triangle.
Answers
Answer:
A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangleStep-by-step explanation:
Find the circumference and area of the circle. Use 3.14 for A. Round to the nearest hundredth if necessary.
12 m
.
The circumference of the circle is about
m.
The area of the circle is about
m?
Answers
Answer:
area= 452.39
circumference= 75.40
Step-by-step explanation:
circumference is equal to 2 * pi * r
area is equal to pi * r^2
circumference = 2 * pi * 12 = 75.40
area = pi * 12^2 = 452.39
hope this helps!
The equation of the regression line is written below, where y represents the predicted change in sea level and t represents the years since 1993 .
y = 0 + 3.2t
Identify the y -intercept of the regression line and explain what it represents in the context of the data.
Answers
Answer: im guessing 68.50 kg (y = –133.18 + 115.91 × 1.74 m).
Step-by-step explanation:
How can you know if this equation is true? 12+38=410=25 1 2 + 3 8 = 4 10 = 2 5 CLEAR CHECK Because 1+3=4 1 + 3 = 4 and 2+8=10 2 + 8 = 10 , this equation must be true. Because 25<12 2 5 < 1 2 , this equation can not be true. This equation must be true, because when you add fractions the sum is always less than 12 1 2 . Because 38<12 3 8 < 1 2 , this equation must be true.
Answers
Given:
The equation is
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
To find:
Whether the given equation is true or not.
Solution:
In addition of two fractions, we can not add numerator and denominator separately. First we need a common denominator, then we add numerators.
We have,
[tex]\dfrac{1}{2}+\dfrac{3}{8}[/tex]
Taking LCM, we get
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\times 4+3}{8}[/tex]
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4+3}{8}[/tex]
[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{7}{8}\neq \dfrac{4}{10}[/tex]
So, the given equation is not true.
Therefore, the correct option is B.
PLS HELP!!
Use the diagram to justify ur answer.
a) is r//s?
b) is m//n?
Answers
Look at the the angles inside
90° is above 90° Their side-by-side angles are also 90° Their sum is 180° .Also corresponding angles are same i.e 90°Hence
r||sm||n
HELP I WILL GIVE BRAINIEST I NEED HELP ASAP
Find the volume of the cylinder.
Find the volume of a cylinder with the same radius and double the height.
Answers
Answer:
923.63
Step-by-step explanation:
Answer:
v=3.14×r^2xh
v= 3.14 x 7^2x3
v = 461.58 in3
double the height
v=3.14 × 7^2 ×6
v= 923.6 in3
PLEASE HELP ME!
How much tax is owed or how much refund is expected? Tax due $ 1374 and tax withheld $678.
A. refund $696
B. refund $678
C. tax owed $696
D. tax owed $5678
Answers
Answer:
The answer is C
Step-by-step explanation:
HELPPPPPP PLEASE!!!
Answers
Answer:
6/h = 10/40
Step-by-step explanation:
Answer:
6/h = 10/40
Step-by-step explanation:
b x h = w
10=b
6=h
so its 6/h and 10/40
i think
You purchase softballs for $5.50 each.the total amount you spent on softballs was $11.write and solve an equation to find the number of softballs purchased.
Answers
5.50(2)=11
........
Ra=5q-ma solve for a
Answers
Answer:
a = 5q/(r + m)
Step-by-step explanation:
ra = 5q - ma
ra + ma = 5q
a(r + m) = 5q
a = 5q/(r + m)
Please mark me the brainliest!?!
Xavier bought 6 oranges from a
6
store. If he paid $1.74, how much did
each orange cost?
$[?]
Enter
Answers
Answer:
$0.29
Step-by-step explanation:
1.74 divided by 6
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =.
Answers
The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.
Then the scale factor will be
[tex]\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8[/tex]
The scale factor is 8.
More about the dilation link is given below.
https://brainly.com/question/2856466
Answer:
The answer is 8:)
Step-by-step explanation:
2.61 is 5.8% of what number?
Answers
Answer:
45.
Divide 48 by 100 (48/100*)
Then, multiply by the given percentage, 5.8%
→ The formula to find percentage is to divide the found number by 100 and then multiply by the closest given number.
Therefore,the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
As per the given information
Let the number is [tex]x[/tex].
[tex]\frac{2.61}{x}=\frac{5.8}{100}\\\\\\2.61(100)=5.8(x)\\\\\\261=5.8x\\\\\\x=\frac{261}{5.8}\\\\\\x=45[/tex]
Hence, the [tex]2.61[/tex] is the [tex]5.8[/tex] % of the number [tex]45.[/tex]
To know more about the percentage
https://brainly.com/question/13244100
#SPJ2
I need help because i hate math and dont understand any of htis
Answers
Answer:
x = 145 degrees
Step-by-step explanation:
In leftmost triangle, missing angle :
= 180 - (90 + 35)
= 55 degrees
Top angle of middle triangle :
= 180 - (60 + 55)
= 180 - 115
= 65 degrees
Bottom angle of middle triangle :
= 180 - (90 + 65)
= 25 degrees
Linear pair
= 180 - 25
=> x = 145 degrees
Can anyone please help me with this?
Answers
Answer:
7.2
Step-by-step explanation:
Which graph shows a line with constant of proportionality of 3/2
Answers
-t/4=-3 solve the equation. Check your solution
Answers
Answer:
see below
Step-by-step explanation:
-t/4=-3
Multiply each side by -4
-t/4 *-4=-3*-4
t = 12
Check
-12/4 = -3
-3 = -3
An object is rotated 180 deg about a center, C, if and only if the two lines intersecting at C that are used for the rotation form a ___ angle.
Answers
Answer:
180°
Step-by-step explanation:
The given information are;
The of the object = 180°
Therefore, a line drawn though the a point on the preimage passing through the center of rotation
A second line is drawn from the center of rotation, towards the direction of the expected location of the image of the chosen point on the preimage which should in this case be 180° and the distance from the location of the point on the image to the given center of rotation should be the same as the distance of the point of the preimage from the given center of rotation.
Answer:90
Step-by-step explanation:
did it
Determine the solution set of x(squared) + 9x + 20 = 0 by factoring.
Answers
Answer:
[tex]x=-4,\:x=-5[/tex]
Step-by-step explanation:
[tex]x^2+9x+20=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}x^2+9x+20:\quad \left(x+4\right)\left(x+5\right)\\\\\left(x+4\right)\left(x+5\right)=0\\\\Using\:the\:Zero\:Factor\:Principle:\\\quad\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\\\mathrm{Solve\:}\:x+4=0:\quad x=-4\\\\\mathrm{Solve\:}\:x+5=0:\quad x=-5\\\\x=-4,\:x=-5[/tex]
Answer:
Factored form: (x+4)(x+5) = 0
x = -5 or -4
Step-by-step explanation:
To factor x^2 + 9x + 20, we need to find 2 numbers that multiply to 20 and add up to 9.
The reason for that is because when you multiply (x+a)(x+b) using FOIL, you will get x^2 + ax + bx + ab.
Anyway, 4 and 5 would satisfy this, because 4+5 = 9 and 4*5 = 20. We can then factor the equation to (x+4)(x+5).
To solve (x+4)(x+5) = 0, we need to make either x+4 = 0 or x+5 = 0. That means x can be either -5 or -4.
Joel throws a six-sided dice and a six-sided dice at the same time and multiplies the scores.
The sample space diagram below shows all the possible outcomes.
1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
Find the probability that Joel gets a number equal to 20.
Answers
Answer:
abc def ghi jkl mno pqr Stu vwx yz
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to side s?
a. y = negative x + 9
b. y = negative x minus 3
c. y = x + 9
d. y = x minus 3
Answers
Answer:
y= -x + 9 (or A)
Step-by-step explanation:
Edge
Are y'all mad or happy about the time change in some places
Answers
Answer:
Not happy with it! :)
Step-by-step explanation:
I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol
Have an amazing day!!
PLEASE RATE!
What is the correct answer I need help
Answers
Answer:
A
Step-by-step explanation:
do the exponents. (5 times 5)
then multiply 2 x 25
Answer:
the answer is A. 2 * 5^2
Step-by-step explanation:
Because 5^2 really means 5 * 5 which is 25 * 2 is 50
Hope this helps