Answers
Answer:
[tex]AB= 20.9[/tex]
[tex]A = 33.2^\circ[/tex]
[tex]C = 54.8^\circ[/tex]
Step-by-step explanation:
Given
The above triangle
Required
Complete the lengths
To do this, we make use of sine rule.
[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]
[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]
[tex]\frac{14}{\sin A} = 25.54[/tex]
Cross multiply
[tex]\sin A * 25.54 = 14[/tex]
[tex]\sin A = \frac{14}{25.54}[/tex]
[tex]\sin A = 0.5482[/tex]
Take Arc sine of both sides
[tex]A = sin^{-1}(0.5482)[/tex]
[tex]A = 33.2^\circ[/tex]
To calculate C, we have:
[tex]C = 180 -A-B[/tex] --- angles in a triangle
[tex]C = 180 -55.2-70[/tex]
[tex]C = 54.8^\circ[/tex]
Calculate length AB using the sine rule.
[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]
So, we have:
[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]
Make AB the subject
[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]
[tex]AB= sin 54.8* 25.54[/tex]
[tex]AB= 20.9[/tex] -- approximated
Related Questions
5.) Find the square root. *
25
49
Need help plz?
Answers
Answer:
5 and 7 because they are perfect squares
Answer:
Step-by-step explanation:
Take the square roots of the numerator and denominator separately.
..................................... help pls
Answers
Answer:
A
Step-by-step explanation:
A is the height since it shows the dotted line from top to bottom and B and C are slanted.
Answer:
Option AIs correspond line
A likely amount of vanilla in a batch of cookies is 1/2 fluid Ounces. True or False?
I need it fast if you can!
Answers
True
Sorry if I'm wrong! I honestly think its true, a fluid ounce is pretty big... 2 tablespoons, so if you half it its 1 tablespoon, which is enough for cookies
A figure is translated and then rotated about the origin. Which of the following is
true of the resulting figure and the original figure?
A) The figures are similar.
OB) The figures have different sizes.
OC) The figures are congruent.
D) The figures are neither congruent nor similar.
Answers
Answer:
C) The figures are congruent.
Step-by-step explanation:
Given
Translation and rotation on a figure
Required
Select the true option
Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.
The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.
(c) is correct
Answer:
c
Step-by-step explanation:
Can someone please find the slope, no link answers pls
Answers
Answer:
-3/1
Step-by-step explanation:
The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither.
How many items are in the sample space for a student at his school?
A. 1
B. 2
C. 3
D. 4
Answers
Answer:
Step-by-step explanation:
3
Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?
Answers
Answer:
3^81 is bigger
Step-by-step explanation:
3^81=4.43426488e38
9^27=5.8149737e25
An angle measures 59 degrees what is the measure of its supplement
Answers
Answer:
add up to 90 degree
Step-by-step explanation:
4. Find the value of x.
Can you pls show work thank you for your time
Answers
Answer:
x= 12
Step-by-step explanation:
11x+2=134
-2 -2
_________
11x = 132
__ ___
11 11
x=12
Stacy Arrington is paid $.73 for sewing a
jacket collar, $.86 for a sleeve with cuffs,
and $.94 for a lapel. One week she sewed
318 jacket collars, 112 sleeves with cuffs,
and 37 lapels. Find her gross earnings.
Answers
Answer:
Her gross earnings for that week were $ 363.24.
Step-by-step explanation:
Since Stacy Arrington is paid $ 0.73 for sewing a jacket collar, $ 0.86 for a sleeve with cuffs, and $ 0.94 for a lapel, and one week she sewed 318 jacket collars, 112 sleeves with cuffs, and 37 lapels, to find her gross earnings you must perform the following calculations:
(318 x 0.73) + (112 x 0.86) + (37 x 0.94) = X
232.14 + 96.32 + 34.78 = X
363.24 = X
Therefore, her gross earnings for that week were $ 363.24.
two friends bought a strip of tickets for the school carnival. Arlo used 5/6 of his tickets. jayson used 6/6 of his tickets.
Answers
::::::::::::::::::::
Answer:
total number of tickets bought: 12
total number of tickets used: 11
Jayson used 1 more ticket than Arlo
Step-by-step explanation:
Erm, I don't know what you want answered, but here's some basics:
So to find how many total tickets were bought, we just have to add both of the strips together:
6 + 6 = 12
So the total number of tickets bought was 12.
To find the amount of ticket used, you have to add the top numbers together:
5 + 6 = 11
So the total number of tickets used is 11.
If you wanted to find how many more tickets Jayson used than Arlo, you'd have to subtract Arlo's tickets from Jayson's:
6 - 5 = 1
So Jayson used 1 more ticket than Arlo.
Sorry I couldn't have been more of a help:/
A 52-in TV measures 52 inches along its diagonal (corner to corner measure). If that TV is 33.6 inches high, how wide is it?
Answers
Step-by-step explanation:
Use Pythagoras' theorem
[tex] {a}^{2} = b {}^{2} + c {}^{2} [/tex]
52² = 33.6² + x²
solve for x
Answer:
1575.04
Step-by-step explanation:
Using Pythagoras theorem,
a^2+b^2=C^2
52^2-33.6^2=1575.04
A card is randomly selected from a deck of playing cards. Find the probability that it is a face card, given that a black card is drawn.
A. 3/13
B. 6/26
C. 26/52
D. 1/2
Answers
Answer 3/13
Step-by-step explanation:
There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13
Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.) 13x^2 +1 = -10
Answers
Step-by-step explanation:
The given quadratic equation is :
[tex]13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0[/tex]
The formula to solve a quadratic equation is :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Put a = 13, b = 10 and c = 1
So,
[tex]x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651[/tex]
Hence, this is the required solution.
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Camille is saving for a laptop that costs about $850. To model her savings plan and determine how many more months it will take her to reach her goal, she recently created this equation, where y represents the total amount saved and x represents the number of months. Which statement about her work is true?'
A. Camille used the associative property in step 3.
B. Camille used the multiplication property of equality in step 4.
C. Camille used the subtraction property of equality in step 5.
D. Camille used the substitution property in step 6.
Answers
The number of hours it takes to mow nine lawns is inversely proportional to the number of gardeners. It takes three gardeners four hours to mow nine lawns. How many hours would it take one gardener to mow the same nine lawns?
Please answer quickly!
Answers
Answer:
I believe it would take 12 hours
Solve the following quadratic equation for all values of x in simplest form. 4(3x - 5)^2+5 = 13 (will give brainly)
Answers
Answer:
Step-by-step explanation:
4(3x-5)^2+5=13
4(3x-5)^2+5-13=0
As (a-b)^2=a^2-2ab+b^2
4((3x)^2-2(3x)(5)+(5)^2)-8=0
4(9x^2-30x+25)-8=0
36x^2-120x+100-8=0
36x^2-120x+92=0
using the Quadratic Formula where
a = 36, b = -120, and c = 92
x=(−bc± sqrt(b^2-4ac))/2a
x=(-(-120)±sqrt((−120)^2−4(36)(92))/2(36)
=120±sqrt(14400−13248−)/72
=120±sqrt(1152)/72
The discriminant b2−4ac>0
so, there are two real roots.
x=(120±24sqrt(2))/72
x=(120/72)±24sqrt(2)/72
implify fractions and/or signs:
x=5/3±sqrt(2)/3
hich becomes
x=2.13807
x=1.19526
Of all the registered automobiles in a city, 8% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is
Answers
Answer:
Step-by-step explanation:
In certain parts of the world tuberculosis (a very treatable and curable illness) is present in 25% of the people. If a simple chest X-ray can be used as a diagnostic tool with an accuracy of 99% detection of TB if it is present. Only in 0.5% of the cases, normal people get a positive diagnosis. 2 If a person is selected at random and the diagnosis is positive, what is the probability that the person is actually infected.
Answers
Answer:
0.9851 = 98.51% probability that the person is actually infected.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Infected
Probability of a positive test:
99% of 25%(People have the disease).
0.5% of 100 - 25 = 75%(People do not have the disease). So
[tex]P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125[/tex]
Probability of a positive test and being infected:
99% of 25%, so:
[tex]P(A \cap B) = 0.99*0.25 = 0.2475[/tex]
What is the probability that the person is actually infected?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851[/tex]
0.9851 = 98.51% probability that the person is actually infected.
A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many computers a day, what is the probability that the first computer that has failed due to the hard drive is his 4th computer of the day?
Answers
Answer:
(B) 0.0864
Step-by-step explanation:
Correct on Edge
The length of every chord in a circle is always greater than the length of a radius.
True or False?
Answers
Answer:
the answer would be false
An example of an ordered pair is (1, 5). True or False
Answers
Answer:
yes
Step-by-step explanation:
Explanation: true
May I get some help with this problem?
Answers
simplify 3^2 times 3^5
Answers
Answer:
the answer is =2187
Step-by-step explanation:
hoped I helped:)
What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^3, the x-axis, and the vertical line x=2 is revolved about the x-axis?
Show work.
A
[tex]4[/tex]
B
[tex] \frac{128}{7} [/tex]
C
[tex]4\pi[/tex]
D
[tex] \frac{128\pi}{7} [/tex]
Answers
Answer:
The first thing we need to do is to find the area bounded by:
y = x^3
y = 0
between:
x = 0 and x = 2
This is the integral of the given function between x = 0 and x = 2, written as:
[tex]\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4} - \frac{0^4}{4} = 2^2 = 4[/tex]
This means that the area of the bounded region is 4 square units.
Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.
The volume is:
V = (4 square units)*(2*pi units) = 8*pi cubic units.
(Notice that no option coincides with this, there may be a mistake in the options)
PLZ HURRY
The two triangles below are similar. What is the ratio of the corresponding sde lengths? A. 4:9 B. 4:2 C. 26:26 D. 4.5:2
Answers
Answer:
Step-by-step explanation:
It is 4:9 and 4.5:2
John is moving from Portland to Sacramento, which is 600 miles away. He is traveling at an average speed of 55 miles per hour. Jon stops for gas after a couple of hours and wonders how much further he needs to go. If y represents distance from Sacramento and x represents time, which linear equation would indicate the amount of miles Jon still has to travel to Sacramento?
Answers
600-55x=y
Are you supposed to solve? Couple=2
If you plug in 2 to x you can solve
Are there any answer choices?
Answer:
Y=-55x + 600
Step-by-step explanation:
Use slopes and y-intercepts to determine if the lines −4x+4y=−1 and 4x+4y=−1 are parallel.
Answers
Answer:
Nope they are not parallel.
Step-by-step explanation:
first find the slope of each equation.
-4x+4y= -1
4y= 4x -1
y= (4x-1)/4
y=x - 1/4
the other equation
4x +4y = -1
4y= -4x -1
y= (-4x-1)/4
y= -x -1/4
the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
Slope
Step-by-step explanation:
Hope it helps you in your learning process
Graph y = 3x – 3 using the slope and y-intercept.