Answer:
51.9
Step-by-step explanation:
because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).
The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
What is a right-angle triangle?"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".
For the given situation,
A rectangular door has a diagonal, d = 60
A rectangular door has a height, h = 30
When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.
The formula of Pythagoras theorem,
[tex]Hypotenuse^{2} = base^{2}+perpendicular^{2}[/tex]
[tex]Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} } \\[/tex]
On substituting the above values,
⇒ [tex]Base = \sqrt{60^{2}-30^{2} }[/tex]
⇒ [tex]Base=\sqrt{2700}[/tex]
⇒ [tex]Base=51.9[/tex]
The formula to find the area of a right-angle triangle, [tex]A = \frac{1}{2}(base)(height)[/tex]
⇒ [tex]A = \frac{1}{2}(51.9)(30)[/tex]
⇒ [tex]A=778.5[/tex]
Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
Learn more about the right-angled triangle here
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Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°
Answer:
[tex]Z_{1} Z_{2} = 3 i[/tex]
Step-by-step explanation:
Step(i):-
Given z 1 = 3(cos 37° + i sin 37°)
z 2 = (cos 53° + i sin 53°)
by using complex numbers
[tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]
[tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]
step(ii):-
now
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°
z ₂ = (cos 53° + i sin 53°) = c i s 53°
we will use formula
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
[tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]
[tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]
[tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]
Conclusion:-
[tex]Z_{1} Z_{2} = 3 i[/tex]
Answer:
2i
Step-by-step explanation:
z 2 = 2/3(cos53° + isin53°
I got it right on odyssey ware
The figure is made of rectangular prisms. What is the volume?
Answer:
So the first step is to do times the l that is 18 then times the width that is 6 after that times the height that is 12. The other number is from the other side so you have to times the other number too. So the answer will be c.
Step-by-step explanation:
As we the the formula for a rectangular prism is l*w*h
Answer:
2,160cm³
Step-by-step explanation:
Good luck kiddos :)
Finding Distances from the Mean
The mean of the data is 44.7. Complete the chart to find the distances from the mean.
Of
Temp (°F)
2938
45
31
50
58
62
Distance
from the
Mean
15.7
6.7
13.7
y
13.3
Answer:
x = 0.3, y = 5.3, z = 17.3
Step-by-step explanation:
Since given question is incomplete, so here is the complete table for the distance from the mean.
Temp (°F) 29 38 45 31 50 58 62
Distance from the mean 15.7 6.7 x 13.7 y 13.3 z
It's given that the mean of the data is 44.7
Since distance from the mean of a data is the absolute value of the difference of data and mean,
Therefore, distance from the mean of the data will be,
x = |44.7 - 45| = 0.3 (absolute value of the difference)
y = |44.7 - 50| = 5.3
z = |44.7 - 62| = 17.3
Answer:
x = 0.3
y = 5.3
z = 17.3
Step-by-step explanation:
billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?
Answer:
Y-8
Step-by-step explanation:
The figure below is a net for a rectangular prism. Side a = 22 inches, side b = 18 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,430 square inches
B. 1,672 square inches
C. 4,356 square inches
D. 836 square inches
how would you differentiate this problem using the quotient rule?
The price of a gallon of milk, in dollars, is measured in the
Answer:ones
Step-by-step explanation:
Drag each description to the correct form of segregation.
Black customers were not
served; students staged sit
ins to protest unfair serving
practices.
People of different races Intimidation and violence
had to sit in different areas; toward different races was
the Freedom Riders
common; Student
protested these rules. || Nonviolent Coordinating
Committee (SNCC) worked
to register black people.
Voting
Dining
Bus Rides
Answer:
Voting, Dinning, and Bus Rides were are categorized to the right description form of segregation. it is well explained in the explanation section below.
Step-by-step explanation:
Solution:
Voting:
Intimidation and violence towards different races was common;Student Nonviolent Coordinating Committee (SNCC) worked to register black people.
Dinning:
Black customers were not served;students staged sit ins to protest unfair serving practices.
Bus Rides:
People of different races had to sit in different areas; the Freedom Riders these rules.
help rsm 2.1/x+1 4/5=3/10x
Answer:
two minus one times .........
The solution to the equation is x = 7, -1.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 2.1/x + 1 (4/5) =(3/10)x.
Simplify the equation as follows:
2.1/x + 1 (4/5) =(3/10)x
2.1/x + 9/5 = (3/10)x
2.1 + (9/5)x = (3/10)x²
21 + 18x = 3x²
3x² - 18x -21 =0
3x² - 21x + 3x -21 =0
3x(x - 7) + 3(x - 7) =0
(x - 7)(3x + 3) =0
x - 7 =0 or 3x + 3 =0
x = 7 or x = -1
Hence, the solution to the equation is x = 7, -1.
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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an of 122 , what percent of the population has a lower IQ?
A. 47%
B. 93%
C. 22%
D. 99%
E. 7%
Answer:
B. 93%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (122 − 100) / 15
z = 1.47
Find the probability using a calculator or z-score table.
P(Z < 1.47) = 0.93
Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.
Answer:
get a coupon find a cheap on or steal it or get a discountAnswer:
She could use coupon deals, she could research what stores have it cheapest, see what deals online has
PLEASE HELP FAST
Which transformation preserves size and shape. Choose ALL correct answers
A) Dilations
B) Rotations
C) Translations
D) Reflections
Question 2
Which transformations preserve orientation?
A) Translations
B) Rotations
C) Reflections
D) Dilations
Answer:
A) Dilation C)Reflections or B) Rotations
Step-by-step explanation:
Another khan academy question
First off, notice that this is a right triangle.
You can use this to help write equation.
Equation : x+ (4x-85)=90. The correct answer is "c"
please help i am stuck please
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Sample
Adventur/ Beach/ Cruise/ Ski /
A 6/ 5/ 70/ 19
B 1 6 72 / 21
Which of the following inferences can be made based on the data?
A)Most members prefer a beach vacation.
B) Most members prefer a adventure vacation.
C)More members prefer an adventure vacation and a ski vacation than a cruise vacation.
D)More members prefer a beach vacation and ski vacation than an adventure vacation.
Answer:
D
Step-by-step explanation:
MORE MEMBERS PREFER A BEACH VACATION AND SKI VACATION THAN AN ADVENTURE VACATION
Which point is the centroid of the triangle?
Question 5 options:
A)
D
B)
G
C)
F
D)
C
Answer:
The answer is B) G
Step-by-step explanation:
G is at the center of the triangle. It is a centroid because it is where all the medians meet.
A small TV that regularly sells for $89.00 is on sale at a 15% discount. What is the amount of discount?
Answer:
$13.35
Step-by-step explanation:
To find the amount of discount, multiply the discount rate by the usual price of the small TV.
discount rate * regular price
The discount rate is 15% and the regular price of the small TV is $89.00
15%*$89.00
15%*89
Convert 15% to a decimal by dividing 15 by 100, or moving the decimal place two spots to the left.
15/100=0.15
15.0-->1.5-->0.15
0.15*89
Multiply
13.35
The discount amount is $13.35
So the amount of discount is $13.35
Look at the attached picture
Hope it will help you
Good luck on your assignment
What type of skew does this graph have?
Answer:
Negative skew; skewed right.
Step-by-step explanation:
It is a negative skew, because the peak of the graph is located towards the left (5- 9, respectively). The skewed is on the right, for the tail stretches out to the right of the graph (10-14 all the way to 25 - 29, respectively).
~
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
14168
Step-by-step explanation:
15400 / 100 x 8 = 1232
1232 = 8%
15400 - 1232 = 14168
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answer:
Answer is option b)
[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]
Your guess was right.
Step-by-step explanation:
[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
giving a lot of pts. Which expression is equivalent to 7(a+2) when a=6
7(6)
9(6)
7(6+2)
7(6+14)
Answer:
9(6)
Step-by-step explanation:
i just took the test and yea!!!!!!!!
Answer:
D. 7(6)+4
Step-by-step explanation:
I tried the answer above me but it was wrong that's why I got 90/100
but here is the REAL ANSWER
Why are the units of area squared? How does this help us remember the formula for area of a circle?
Answer:
Area is a size measurement of a two-dimensional surface. Those dimensions (x and y) are perpendicular to each other, and thats why it is squared.
233 is equal to r more than 48?
Answer:
R = 152
Step-by-step explanation:
what i did was if it is talking about more than 48 something plus 48 is 200 so
200 - 48 = 152
r = 152
so 200 is 152 more than 48
Hope this helpsBrainliest plzAsk any more math questions if you wantCenter (2,8) r=6 plz help
Answer:
(x-2)^2+(y-8)^2=36
Step-by-step explanation:
Simplify:
a) 6c + 4d - c - 7d =
b) 3x + 5y - x + 2y =
c) 3g + 5h + 4g - 2h =
d) 8t + 3r - 7t - 9r =
Answer:
a) 5c-3d
b) 2x+7y
c) 7g+3h
d) 1t-6r
hope this helps ;)
Answer:
a) 6c + 4d - c - 7d = 5c -3d
b) 3x + 5y - x + 2y = 2x + 7y
c) 3g + 5h + 4g - 2h = 7g + 3h
d) 8t + 3r - 7t - 9r = t - 6r
Step-by-step explanation:
combine like terms:
a) 6c + 4d - c - 7d = 5c -3d
b) 3x + 5y - x + 2y = 2x + 7y
c) 3g + 5h + 4g - 2h = 7g + 3h
d) 8t + 3r - 7t - 9r = t - 6r
Find the length of the base of the following pyramid, given the height of the pyramid is 221 meters and the angle of elevation of the base of the pyramid is 62°. Round to the nearest whole number.
An image of a square pyramid is shown with a right triangle embedded inside it. The face is at an incline of 62 degrees. The height is labeled 211, and the corner of the right angle is marked with a letter P.
75 meters
189 meters
235 meters
416 meters
Answer:I believe it would be answer choice, 235 meters
Step-by-step explanation:
I’m not super good at explain but, the height and incline both go at the right slope when they interact. Have a good day, hope it helps.
The length of the pyramid's base would be:
C). 235 meters
Find the length of the baseGiven that,
Height of the pyramid [tex]= 221[/tex]
Elevation/angle of the base [tex]= 62[/tex]°
Employing the trigonometric function,
Tan 62 [tex]= 221/[1/2 base][/tex]
⇒ Base [tex]= (2[/tex] × [tex]221)[/tex][tex]/Tan[/tex][tex]62[/tex]
[tex]= 2[/tex] × 221/[tex]1.88[/tex]
[tex]= 235.10[/tex]
Thus, option C is the correct answer.
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Factor. 125x^3-64y^3
Answer:
= 5x - 4y
Step-by-step explanation:
125x³- 64y³
= 5x - 4y
Answer:
Hello,
(5x)^3 - (4y)^3
Step-by-step explanation:
125 = 5^3
64 = 4^3
125 x^3 - 64 y^3 = (5x)^3 - (4y)^3
what is the property for (s + 2) +4
Answer:
s+6
Step-by-step explanation:
You just add 2 and 4.
Answer:
Associative
Step-by-step explanation:
(s+2)+4 = s + (2 + 4)
s + 6 = s + 6
select the one answer. (x+5)-4y
Answer:
B) The sum of x and 5 subtracted by 4 times y.
Step-by-step explanation:
(x + 5) = the sum of x and 5
- = subtracted by
4y = 4 times y
"The sum of x and 5 subtracted by 4 times y).
B) is your answer.
~
Answer:
B/the second one
Step-by-step explanation:
There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.
Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?
Answer:
12 because if you add 6 and 12
Step-by-step explanation:
hope it helps uou !!
Answer:
It's 12
Step-by-step explanation:
hope it helps you !!
