Answer:
Step-by-step explanation:
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
Find the surface area of the composite figure.
SA = [ ? ] cm^2
Answer:
644
Step-by-step explanation:
SA=[2×(5×20 + 5×6 + 20×6)] +
[2×(4×12 + 4×6 + 12×6)] -
[ 2× 12×6]
= [2×(250)]+[2×(144)] - [144]
= 500+288-144
= 644 cm²
Practice 4b
In the diagram, PQRS is a rectangular sloping surface, PQTU is a rectangle on horizontal ground and RI and
SU are vertical lines. PQ = SR=UT = 45 cm, QR = PS = 32 cm and angle RQT= 38º.
Calculate
PR,
(b) RT, and
(c) angle RPT
Answer:
(a) PR = 55.2 cm
(b) RT = 19.7 cm
(c) <RPT = [tex]20.8^{o}[/tex]
Step-by-step explanation:
(a) to determine the value of PR, apply the Pythagoras theorem to PQR.
PQ = 45, and SP = QR = 32. So that;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]
= 2025 + 1024
= 3049
PR = [tex]\sqrt{3049}[/tex]
= 55.218
PR = 55.2 cm
(b) To determine RT, apply the appropriate trigonometric function to QRT.
Let RT be represented by x, so that;
Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]
x = 32 * Sin [tex]38^{o}[/tex]
= 32 * 0.6157
x = 19.7024
RT = 19.7 cm
(c) To determine <RPT, let the angle be represented by θ.
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{RT}{PR}[/tex]
Sin θ = [tex]\frac{19.7024}{55.218}[/tex]
= 0.3568
θ = [tex]Sin^{-1}[/tex] 0.35568
= [tex]20.84^{o}[/tex]
Thus, <RPT = [tex]20.8^{o}[/tex]
A community college employs 88 full-time faculty number. To gain the faculty opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty number. He numbers the faculty form 1 to 88.
Answer: Hi your questions some required details attached below is the required random number table and missing question
Answer : 83, 58, 64, 26, 47, 68, 29, 4, 78
Step-by-step explanation:
The number of 9 faculty members that will be included in the sample will be written considering the fact that the 9 numbers ( first 9 ) are lesser than 88, and also considering the fact that 58 is repeated twice ( in the random number table ). Hence The number of 9 faculty members = 83, 58, 64, 26, 47, 68, 29, 4, 78
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
А
22
12
B
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
16
с
Answer:
It's the second answer down : Angle B, A and C
Step-by-step explanation:
The sequence from the smallest to the largest is angle B, angle A, angle C .
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given AB= 22 units
BC=16 units
AC=12 units
The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.
That is angle opposite to the shorter side have shorter angle.
Therefore, we have
Therefore,
angle opposite to side AC is angle B,
angle opposite to side BC is angle A,
angle opposite to side AB is angle C,
Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .
To learn more on Triangles click:
https://brainly.com/question/2773823
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Which expression is used to find the probability of 4 even numbers being rolled on 20 successive rolls of a six-sided die?
Answer:
15/36 (41.667%)
Step-by-step explanation:
-6x + 2y = 10 is written in Standard form.
Rewrite it in y=form.
Answer:
y = 3x + 5
Step-by-step explanation:
add 6x to each side to get:
2y = 6x + 10
finally, divide each side by 2 to get:
y = 3x + 5
Answer: Y = 3x +5
Step-by-step explanation:
Which gives the line of best fit?
f(x)=45x
f(x)=x
f(x)=2x
f(x)=45x+45
Answer:
f(x) = x
Step-by-step explanation:
example of points on line: (40,40), (45,45), (50,50)
x-values are the same as y-values which means the line is y=x
Which angles are vertical angles?
Answer:
vertical angle are angles opposite each other where two lines cross .
If two points known on the line A B in the coordinate plane is (7,15) and (18,42), calculate the slope of the line AB and the length of the line AB
Answer:
Slope = 27/11
AB = 29.15 u
Step-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
A jogger is running around a 3/4 mile track and he has ran 2/3 around the track how far has the jogger traveled? THANKS!
Answer:
.5
Step-by-step explanation:
3/4 of a mi is equal to 0.75 mi
2/3 of .75 is .5
what would be the value of y? help
Using the given equation find the missing coordinates o the points and then find the slope of the line for each equation y-2x=3; A(...;6), B(15; ...)
Answer:
(1.5,6)(15,33) slope=2
Step-by-step explanation:
Answer:
y-2x=3; A(1.5, 6) B(15,33) Slope = 2
Step-by-step explanation:
First thing, you add 2x on both sides and get y=2x+3. Since the equation y=mx+b states that m is the slope, the slope is 2.
2nd step is finding the missing coordinate for a. You plug in 6 as the y in the equation y=2x+3, and then get 2x+3=6. Now it is a simple algrebraic equation and you get x=3/2 or 1.5.
The final step is to solve for B. Using the equation y=2x+3, and substituting in x as 15, you get y=30+3 which equals 33.
I hope this gave you an in depth explanation on solving these problems!
HELPPPP PLEASEE
How much is Vince paid for one hour of work?
A.
$3.60
B.
$9.00
C.
$9.50
D
$12.00
Answer:
B
Step-by-step explanation:
Using the graph, we pick a convenient point: (20, 180)
This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00
Have a good rest of your day
Can someone answer these questions I really need help! I’ll give brainliest if I can!
https://brainly.com/question/23678779
Answer:
ill help u but
Step-by-step explanation:
MARK ME BRAINLIEST PLZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzMARK ME BRAINLIEST PLZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzM multiplied by 4 is greater than 12
How do I solve it
Answer:
M > 3
Step-by-step explanation:
4M > 12
M > 3
Answer:
um... you can have M as 4. 4 x 4 =16
You start driving south for 16 miles, turn left, and drive east for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
20
Step-by-step explanation:
(16)2+(12)2=
c2\,\,c^{2}c2
Use the Pythagorean Theorem.
256+144=256+144=256+144=
c2\,\,c^{2}c2
Simplify.
400=400=400=
c2\,\,c^{2}c2
Simplify.
±400=\pm\sqrt{400}=±400
=
c2\,\,\sqrt{c^{2}}c2
Square root both sides.
20=20=20=
c\,\,cc
Simplify. Ignore negative root, as length must be positive.
solve the right triangle. round answer to the tenth.
Answer:
By using the pythagorean property such that GJ^2+HJ^2 = GH^2
GJ = √(GH^2-HJ^2)
GJ √(11881-8281)
GJ = √ 3600
GJ = 60.00 (ANS)
Hope it helps
Please help! I don't really understand this.
Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]
x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
What is the equation of the graph below?
A.y = - (x - 2)^2 + 3
B.y = (x + 2)^2 + 3
C.y = - (x + 3)^2 + 2
D.y = (x - 3)^2 + 2
Answer:
The answer is letter B.
Step-by-step explanation:
go left 2
up 3
Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have red hair?
Give an explanation plz:)
Answer :
Total number of people in the room = 18Number of people with red hair = 2Number of people not with red hair = 18 - 2 = 16Probability of picking a person who doesn't have red hair = [tex]\sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}[/tex]Probability = 16/18
Reduce the fraction with 2
Probability = 8/9
Answer:
[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]
Step-by-step explanation:
Given :-
There are 18 people in the room .Two of them have Red hair.And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.
According to Question :-
[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]
Hence the probability is :-
[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]
Hence the required probability is 8/9 .
142- 132= 14+13 pls do this question for me
Answer:
37
Step-by-step explanation:
You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10
Answer:
37 :)
Step-by-step explanation:
Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!
Hope this helps! ^^
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))
Answer:
3) 522
4) 468
Step-by-step explanation:
hello!
3) in the question, it says the cross section is a square, and the area of PQRS is 81.
for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)
with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.
both squares : 81+81=162
both 10 by 9 sides: 90+90=180
both 10 by 9 sides (top and bottom): 90+90=180
total surface area=162+180+180=522
4) for this problem, we can see that the triangle is a right triangle.
to solve the area of the triangle, we can do (9*12)/2=108/2=54.
there are two sides with triangles, so we double 54 (54*2=108)
9 by 10 side: 90
10 by 12 side: 120
now for the last slide, theres no information on the length. the formula for the diagonal is
a^2+b^2=c^2
which is
9^2+12^2=81+144=255=15^2
with this, the area of the rectangular side gives us 10*15 which is 150.
adding it together, we get
108+90+120+150=468.
hope this helps!
Pls hurry, will mark brainliest
Answer:
B is correct
Step-by-step explanation:
please help i’ll give brainliest
Answer:the answer is mode
Step-by-step explanation:
find the value of X to the nearest tenth:
Answer:
13.0
Step-by-step explanation:
sin(65°) × 14.3 would give u 12.9 then u round it to the 13
please help i cannot get it
Find the volume of the rectangular pyramid
Thank you!!
Answer:
72
Step-by-step explanation:
i need help with geometry
2) 2(8r + 5) = 24 + 9r
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
Herb drew an equilateral triangle one side of the triangle is 5 inches long the other side of the triangle what is 5 inches long how long was The third side of the triangle herb drew explain your reasoning
Answer:
5 in.
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So third side is 5 inches long.