Answers
Answer:
Step-by-step explanation:
A = 150°
B = 12°
C = 180 - (150 + 12) = 18°
b = 10 cm
Apply the sine rule:
[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]
Multiply both sides by sin(18)
[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]
[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]
c = 14.9 cm (nearest tenth)
Related Questions
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answers
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedcalcule:(-2)⁰+(-2)¹+(-2)²+(-2)³
por favor
Answers
Answer:
-5
Step-by-step explanation:
The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform the augmented matrix to reduced echelon form, and then find all solutions to the corresponding system. (If there are an infinite number of solutions use s1 as your parameter. If there is no solution, enter NO SOLUTION.)
[9 -2 0 -4 8]
[0 7 -1 -1 9]
[8 12 -6 5 -2]
(x1, x2, x3, x4)=_______
Answers
Answer:
[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]
Step-by-step explanation:
As the given Augmented matrix is
[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]
Step 1 :
[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]
Step 2 :
[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]
Step 3 :
[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]
[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]
Step 4 :
[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]
Step 5 :
[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]
Step 6 :
[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]
[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]
∴ we get
[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]
Find the missing angle measurments geometry
Answers
Answer:
?????????
Step-by-step explanation:
wheres the equation
5 (a) Write the ratio 15:35 in its simplest form.
Answers
Answer:
Step-by-step explanation:
5 is a factor of 15 and 35
15:35 = 3:7
Plz tell me if I’m wrong
Solve for "T" in the following formula: P= NRT/V
Answers
Answer:
T = PV / NR
Step-by-step explanation:
Solve the equation x² = 5. (must show equality properties in work so I can earn full credit)
A. x = 5
B. x = 25
C. x = √5
D. x = ±√5
Answers
take root to both side to clear the square
√x² = ±√5
X = ±√5
The distance from the ground to where the ladder is touching the wall is 7
feet. The distance from the wall to the base of the ladder is 4 feet. What is
the length of the ladder?
wall
ladder
Answers
Answer:
L=8.062 feet
Step-by-step explanation:
wall=7
distance=4
Pythagorean theorem
7^2+4^2=L^2
49+16=L^2
65=L^2
L=8.062 feet
The required length of the ladder is given as 8.06 feet.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.
here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06
Thus, the required length of the ladder is given as 8.06 feet.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
#SPJ2
Help with all 3 ASAP
Answers
Answer:
The second one is right
The third one is wrong.
If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answers
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answers
Answer:
30 kilometers
Step-by-step explanation:
40 miles------> x kilometers
8x = 6×40
8x = 240
x= 30 kilometers
40 miles = 30 kilometers
Need quickly please help!
Answers
=======================================================
Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?
Answers
Answer:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Step-by-step explanation:
Given
[tex]t= thickness[/tex]
[tex]h =height[/tex]
From the first statement, we have that:
[tex]t\ mm \ge 0.1 * h\ cm[/tex]
Convert mm to cm
[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]
[tex]t\ *0.1 \ge 0.1 * h[/tex]
Divide both sides by 0.1
[tex]t \ge h[/tex]
From the second statement, we have that:
[tex]Cost \le 12.2[/tex]
Substitute 0.2 + t + 0.5h for Cost
[tex]0.2 + t + 0.5h \le 12.2[/tex]
Collect Like Terms:
[tex]t + 0.5h \le 12.2-0.2[/tex]
[tex]t + 0.5h \le 12.0[/tex]
So, the inequalities are:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Answer: it's a, the answer
Step-by-step explanation:
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answers
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (population of 70,000) since the beginning of 2018 - today is July 4th, 2018. On February 1st, 2018, 43 of those cases were hospitalized. What was the prevalence rate of flu cases requiring hospitalization thus far in 2018?
Answers
Answer:
The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:
= 0.13%
Step-by-step explanation:
a) Data and Calculations:
Population of Portland, ME = 70,000
Number of flu cases requiring hospitalization on February 1st, 2018 = 43
Number of flu cases requiring hospitalization on July 4th, 2018 = 90
The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%
b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.
Evaluate m2 + 12q if m= 5 and q =-3 plz
Answers
Answer:
-11
Step-by-step explanation:
m²+12q
= (5)² + 12(-3)
= 25 -36
= -11
5² + 12(-3)
25 + (-36)
25 -36
= -11
9) Linda and Maria share £200. Linda has 4 times as much money as Maria.
How much money does Maria have?
Answers
Answer:
40
Step-by-step explanation:
maria is x
linda is 4x
x+ 4x = 200
5x = 200
x= 40
Given: E is the midpoint of DF.
Prove: DE = 23
Answers
Answer:
DE=23
Step-by-step explanation:
Since E is the midpoint of DF, we know that DE and EF are equal. Thus, we can set them equal to eachother and solve.
8x-1=6x+5
2x=6
x=3
After that, plug 3 back into DE.
6(3)+5= DE
18+5= DE
23=DE
If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8
Answers
Answer:
m<5=101.9 m<8=101.9
Step-by-step explanation:
alternate interior and vertical angles
Answer:
(a) m∠5=<4[alternate angle]=101.9°,
(b) m∠8=<5[vertically opposite angle]=101.9°,
Martha will build a pool in her backyard. She wants the pool to have a rectangular shape
and to be five meters long and three meters wide. What would the area in Martha's backyard that will be lost due to the construction of the pool? There are 3.28084 feet in
one meter.
A 15 square feet
B 80.729 square feet
C 161.459 square feet
D 322.918 square feet
Answers
9514 1404 393
Answer:
C. 161.459 square feet
Step-by-step explanation:
In feet, the dimensions of the pool are ...
(5 m)(3.28084 ft/m) = 16.4042 ft
(3 m)(3.28084 ft/m) = 9.84252 ft
Then the area of the pool is ...
(16.4042 ft)(9.84252 ft) = 161.458666584 square feet
about 161.459 square feet
_____
Additional comment
If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.
7515.904 rounded to nearest tenth
Answers
Answer:
7515.9
Step-by-step explanation:
Tenth is basically like 1 decimal point.
0-4 round dowm 5-9 round up
Change 8.94 into a fraction
Answers
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
Which number is an integer?
-3/4
1/5
2
4/2/3
Answers
Answer:
2
Step-by-step explanation:
K 4x J 6x – 8 L 152° What is the measure of angle KJL? O A. 640 O B. 78° 0 C. 840 O D. 88°
Answers
Answer:
D
Step-by-step explanation:
180-152= 28°
4x+6x-8+28=180
10x=160
x=16°
kjl= 6x-8= 88°
Write the percent as a fraction and as a decimal.
5% tax
Answers
Answer:
The answer would be 0.05
Step-by-step explanation:
This is because it is PER Cent so 5% is 0.05 of 1
Answer:
1/20 and 0.05
Step-by-step explanation:
Runner A had a minor accident and is now 0.25 miles behind Runner B.
Runner B is currently has a speed of 7 miles per hour.
Runner A attempts to catch up runner B by running 8.5 miles per hour.
How long will it take Runner A to catch up to Runner B?
Answers
Answer:
It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.
Step-by-step explanation:
Runner A is 0.25 miles behind Runner B.
Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.
This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.
How long will it take Runner A to catch up to Runner B?
1 hour - 1.5 miles
x hours - 0.25 miles
[tex]1.5x = 0.25[/tex]
[tex]x = \frac{0.25}{1.5}[/tex]
[tex]x = \frac{1}{6}[/tex]
It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.
Name:
1. Dane deposited $5,000 in a savings account. The amount in the account after 1, 2, and 3 years is shown
below.
$5,240, $5,480, $5,720, ...
Which function represents the total amount in her account at the end of t years?
A. M(t) = 5000 + 2400
B. M(t) = 5240 +2400
C. M(t) = 5000t + 240
D. M(t) = 5240t + 240
Answers
Answer:
I dont kn0w try g00gle searches
Answer:
B. M(t)= 5240+240t
Step-by-step explanation:
cause
what is the difference of 4.042 and 3.155
Answers
Answer: 0.887
Step-by-step explanation:
Q. Abby lives in a home worth $115,000. She has a mortgage of $98,000. she owes $5,200 on her car that is worth $11,000. she has a credit card balance of $2,300. she also has a checking account with a balance of $900 and $300 in gift cards. What is Abby's net worth?
A. 127,200
B. 105,500
C. 232,700
D. 21,700
Answers
Caitlyn reduced the size of a rectangle to a width of 3 in.
What is the new height if it was originally 10 in tall and 15
in wide
Answers
Answer:
h = 2
Step-by-step explanation:
you know the original rectangle [h = 10, w = 15]
1. The height of 15 inches turned to 3 inches by diving by 5
2. You have to do the same with the height too!
3. 10/5 = 2
The new height is 2 inches.