Answer:
10
Step-by-step explanation:
A box of pasta contains 16 ounces of pasta. If on serving weighs 1/3 ounces, how many servings are in one box of pasta
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.
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
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.
30 [tex]30\geq 5[/tex]
Jacob did the following calculations, please explain the error if any. (2-3i)2 = (2-3i)(2-3i) = 4-6i-6i+9i2 = 9i2-12i+4
EXPLAIN how you would graph the line y = 1/3x + 5
Answer:
Okay so this is the best way to explain it, its already in y=mx+b form which is the easiest way to graph something, its where m= slope and b=the y-intercept so 1/3 is m so the slope is 1/3 but first we need to mark the y coordinate which is 5, so on your graph dot (0,5) then from that go up 1 and right 3 then that should be your graph!!! I've included pictures to help you know what it should look like.
Step-by-step explanation:
Please look at pictures below!! This is the best explanation i could give, Hope this helps!!!
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
what is the value of the 6 in 547.675
Answer:
tenths place
Step-by-step explanation:
The 6 is in the tenths place, according to this chart.
If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal, what can we do?
a. Conclude that the units cannot be converted to one another.
b. Assume the conversion factor is 1.
c. Attempt to use a conversion factor for different units of measurement.
d. Leave the conversion factor in fraction form.
Answer:
D) Leave the conversion factor in fraction form
Step-by-step explanation:
Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal. The correct option is option D.
What is conversion Factor?A conversion factor is a ratio expressed as a fraction that equals 1. When we use conversion factors to convert units, we multiply our original measurement by the conversion factor to get the same measurements expressed in new units.
If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal. Leave the conversion factor in fraction form.
Because there are two type of decimals:
Terminating decimal expansion means the decimal expansion of a number which stops after a certain number of decimal places. For example, if we divide 100 by 16, the answer comes out as 6.25.Since the number of decimal place in 6.25 is 2,i.e., it stops after a certain number of decimal places, it is called a terminating decimal expansion.
On the other hand, if the decimal expansion of a number does not stop at all, then it is called a non-terminating decimal expansion. For example, if we divide 100 by 7, then the answer comes out to be 14.28571428571…….. . The decimal expansion does not stop. This is known as a non-terminating decimal expansion.
In general, if a fraction has a denominator of the form 2^n*5^m, where m and n are non-negative integers, then it will have a terminating decimal expansion. For example, 100/16 has denominator 16 which is of the form 2^4*5^0, so it has a terminating decimal expansion.
If a fraction has a denominator which is not of the form 2^n*5^m, where m and n are non-negative integers, then it will have a non-terminating decimal expansion. For example, 100/7 has a denominator 7 which is not of the form 2^n*5^m so it has a non-terminating decimal expansion.
Hence, Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal.
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need help with homework
Answer:
Where is the homework?
Step-by-step explanation:
3a^2-7a+6=
( for a= -2 )
Answer:
32
Step-by-step explanation:
Substitute a = - 2 into the expression and evaluate
3(- 2)² - 7(- 2) + 6 = 3(4) + 14 + 6 = 12 + 14 + 6 = 32
Answer:
32
Step-by-step explanation:
a^2=4
3*4=12
3a^2=12
7a= -14
-7a=14
6=6
12+14+6=32
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
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
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
HELP!
The net of a cylinder with a radius of 5cm and a height of 8cm is drawn below. Work out the surface area of the cylinder.
Answer:
408.41 cm²
is the answer
2y-5=4y
what is y? really stuck
Answer:
y = - 5/2
Step-by-step explanation:
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:
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
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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PLEASE HELP NOW NOW NOW PLEASE PLEASE HELP
Answer:
$46.00
Step-by-step explanation:
$46.00 - $20 + $5 = $21
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
which of the given lengths make a right triangle?
A: 8, 12, 20
B: 10, 15, 18.03
C: 3.05, 4.05, 7.10
Answer:
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The solution of 2x-4=20 is
Answer:
12
Step-by-step explanation:
2*12-4=20
Answer:
x = 12
Step-by-step explanation:
2x - 4 = 20
2x = 20 + 4
2x = 24
x = 24/2
x = 12
Х
-3
3 so
Plz explain this its a fraction
Answer:
x = 9
Step-by-step explanation:
x−(3)(3=x+−9 )
Find the probability that the team will win exactly one of the two matches
Answer:
The probability is 0.341
Step-by-step explanation:
Here, we want to calculate the probability that the student will win exactly one of the two matches
This means that;
If they win on Saturday, they lose on Sunday
or
If they lose on Saturday, they win on sunday
So either of the two scenarios will give that the team will win on either of the two days
Mathematically, we have that;
(0.45 * 0.33) + (0.55 * 0.35)
= 0.1485 + 1925
= 0.341
The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).
Answer:
You need to show us the options
Step-by-step explanation:
Answer:
what’s the anwser?
Step-by-step explanation:
Tyron left his house and drove 30 miles north, then 17 miles east. Birds
eye view, how far is he from his house? Round to the nearest tenth.
pls hurry it’s for a quiz
Answer:
Step-by-step explanation:
Basically it’s goin to be 50 because it says round to the ten and it’s basically 47
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
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: