Answer: 5) Decrease 6) -44.4%
Step-by-step explanation: Percent change formula is as follows: final - initial / initial
(10-18)/18 = -8/18 = 0.44444 to turn into a percent multiply by 100 to get 44.4 percent change when rounded
list the sides of the triangle in order from smallest to largest
Answer:
p,q,r
Step-by-step explanation:
The diagram shows triangle ABC. Calculate the length of AC
Given:
In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.
To find:
The length of AC.
Solution:
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Using Law of Sines, we get
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]
[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]
[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]
[tex]C\approx 36.86^\circ[/tex]
Using angle sum property, we get
[tex]\angle A+\angle B+\angle C=180^\circ[/tex]
[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]
[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]
[tex] \angle B =62.14^\circ [/tex]
Now,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]
[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]
[tex]b\approx 12.08[/tex]
Therefore, the length of AC is 12.08 cm.
Mitra travelled 7.87km in bus and 1.5 km in autorickshaw to reach in her office.What is the total distance her residence from her office? *
Answer:
9.37 km
Step-by-step explanation:
Total distance = length travelled in the bus + length travelled in the autorickshaw
7.87 km + 1.5km = 9.37 km
Help me please what is 11/5 you can write it in numerical numbers lile this 1,2 or whole number fractions like this 1 1/2
Answer:
11/5 = 2 1/5
11/5 = 2.2
Step-by-step explanation:
A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?
1 over 12
1 ninth
3 sevenths
3 forth
Answer:
c wich is sevenths
Step-by-step explanation:
The probability the teacher that chooses a girl to write the date on the board is :
C) 3 sevenths.
"Probability"
Given:
Boys =12
Girls =9
Total number of students = 12 + 9 = 25.
So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]
This is close to 3 sevenths.
Learn more about probability:
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Find the measure of the missing angles.
38
90°
d
e
F
Answer:
d= 90 degrees
e= 27 degrees
f= 153 degrees
Step-by-step explanation:
yes
Guys please help me, I’ve been stuck on this question for a bit. I will mark you brainliest (:
Answer:
The slope is 3
Step-by-step explanation:
m = rise/run
Imma use points (4,1) and (5,4)
rise = 3
run = 1
3/1
m = 3
plz mark as brainliest if correct!
If a circle is divided into 30 equal parts, what will be the measure of the angle of each part???
Answer:
12 degrees
Step-by-step explanation:
Total angle in a circle = 360 degrees
If a circle is divided into 30 equal parts
measure of each part = Total angle in a circle/Total parts
measure of each part = 360/30
measure of each part = 12 degrees
Hence the measure of each part is 12 degrees
Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?
Answer:
Multiply it by 4 and divide it by 100. It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price. 14300
Step-by-step explanation:
PLEASE rate follow and thank
Answer: 6281
Step-by-step explanation:
for the table below, what is the range?
Answer:
second option
Step-by-step explanation:
mark me brainliest pls
Find the length side
Answer:
PR = 6.93 units
PQ = 13.86 units
Step-by-step explanation:
From ΔPQR,
m∠Q = 30°
QR = 12
By applying tangent rule for the given angle in the triangle,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(30°) = [tex]\frac{PR}{QR}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]
PR = [tex]\frac{12}{\sqrt{3} }[/tex]
PR = 4√3 ≈ 6.93
Now we apply cosine rule,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]
PQ = [tex]\frac{24}{\sqrt{3} }[/tex]
PQ = 8√3 ≈ 13.86
2. A spelunker is down in a cave next to the cliff. If she
climbs down deeper into the cave, this will be a
negative change. If she climbs up, whether inside the
cave or out of the cave and up the cliff, this will be a
positive change.
Complete the table.
starting
elevation
(feet)
change
(feet)
final
elevation
(feet)
Correct?
А
- 200
150 down
-350
B
- 200
100 up
-100
С
-200
200 up
0
x < < < <
D
-200
250 up
50
E
200
500
When does the arrow hit the ground?
From what height is the arrow shot?
Answer:
The arrow hits the ground after 2.25 seconds
the height the arrow is shot from is (0,18) or 18 units up
Step-by-step explanation:
Light A flashes every 8 seconds.
Light B flashes every 20 seconds.
Both lights flash at the same time.
Work out how long it will take for both lights to flash at the same time
again.
Answer:
40 seconds
Step-by-step explanation:
8 20
16 40
32
40
40 seconds
It will take 40seconds to both the lights to flash at the same time again.
What is Least common multiple?" Least common multiple is defined as the smallest common multiple of the given set of numbers."
According to the question,
Given ,
Time to flash Light A is every 8 seconds.
Time to flash Light B is every 20 seconds.
Condition given
Both the lights flash at the same time
Least common multiple (8, 20) = 40seconds
Light A flashes in
8seconds , 16seconds , 24seconds , 32seconds, 40seconds
Light B flashes in
20seconds , 40seconds
Hence, both the light flashes at the same time again is at 40seconds.
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Find the length of the missing side leave in simplest radical form
Answer:
choice 4) sq rt 69 ft
Step-by-step explanation:
13^2 - 10^2
169-100 = 69
sq rt 69
The sum of two numbers is 376. The first number is 182
less than the second number. What are the two numbers?
Answer:
376-182=194
so 194 us the 1st
182 is the 2nd
(2/3) to the 3rd power] plus [(3/4) to the zero power]
Answer:
1-8/27
Step-by-step explanation:
[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]
[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)
[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]
We cannot simplify, so 1-8/27 is our answer.
Hope this helps. Have a nice day.
6. The net of a rectangular prism and its dimensions are shown in the diagram.
8 in.
8 in.
2 in
2 in.
12 in.
12 in
What is the total surface area of the rectangular prism in square inches?
Answer:
272 square inches
Step-by-step explanation:
Given
[tex]l = 8[/tex] --- length
[tex]w = 2[/tex] --- width
[tex]h = 12[/tex] ---- height
Required
Determine the total surface area (SA)
This is calculated using:
[tex]SA = 2 * (lw + wh + lh)[/tex]
[tex]SA = 2 * (8*2+2*12+8*12)[/tex]
[tex]SA = 2 * 136[/tex]
[tex]SA = 272[/tex]
The total surface area is 272 square inches
What is the area formula for a rectangle?
A: A = (1/2)bh; Area = (1/2) x base x height
B: A= (1/2)(b1 + b2)h; Area = (1/2) x (base1 + base2) x height
C: A = bh; Area base x height
D: A = a^2; Area = side x side
Johnson wants to buy something for himself. He has a budget of $105 to spend on $25 t-shirts, $10 cd's, and $5 books. He wants to buy 10 items and wants to buy as many books as t-shirts and cd's combined. How many of each item should he buy?
Explain please!
Answer:
2 t-shirts, 3 cd's, 5 books.
Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.
Eh uh I need help lol:)
Answer:
blue =5/13. speckled=4/13
If a1=10 and an=an-1+4 then find the value of a5
Answer:
26
Step-by-step explanation:
Each term is the previous with 4 added to it.
a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26
The value of [tex]a_{5}[/tex] will be equal to 26 .
It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].
We have to find the value of [tex]a_{5}[/tex].
What do you mean by sequences ?
Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.
As per the question ;
The first term ; [tex]a_{1}[/tex]= 10
and given ;
[tex]a_{n} = a_{n-1} + 4[/tex]
So ;
2nd term will be ;
[tex]a_{2} = a_{1} + 4[/tex]
[tex]a_{2}[/tex] = 10 + 4
or
[tex]a_{2}[/tex] = 14
Now ;
3rd term will be ;
[tex]a_{3} = a_{2} + 4[/tex]
[tex]a_{3} = 14 + 4[/tex]
[tex]a_{3}[/tex] = 18
Hence , the common difference is d = 4.
So ;
4th term will be ;
[tex]a_{4}[/tex] = 18 + 4
[tex]a_{4}[/tex] = 22
and
5th term will be ;
[tex]a_{5}[/tex] = 22 + 4
[tex]a_{5}[/tex] = 26
Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .
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I need help bad i don’t understand this so plz help
Answer:
B : y axis is parallel
x axis is perpendicular
4: (4,8) (4,10)
5: (4,25)
Step-by-step explanation:
Hope this helps, and if you can please mark me Brainiest.
y times the square root of x
Answer:
When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.
Step-by-step explanation:
its there
Х
-3
3 so
Plz explain this its a fraction
Answer:
x = 9
Step-by-step explanation:
x−(3)(3=x+−9 )
9 times a number is the sum of the number and 56.
Translate the statement to equations
Answer:
9x = x + 56
Step-by-step explanation:
2y-5=4y
what is y? really stuck
Answer:
y = - 5/2
Step-by-step explanation:
Find the equation of the line between the points (10, – 5) and ( - 2,0).
Answer (assuming it can be in slope-intercept form):
[tex]y = -\frac{5}{12} x-\frac{5}{6}[/tex]
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}[/tex]
Thus, the slope of the line is [tex]-\frac{5}{12}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{5}{12}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
[tex]y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}[/tex]
need help with homework
Answer:
Where is the homework?
Step-by-step explanation:
Hiiioooo! Can someone please help me out with this question ❤️
Answer:
3.5
Step-by-step explanation:
:)