Answers
Answer: AB=21.88 mm, BC=51.54 mm
Step-by-step explanation:
Given
[tex]\angle A=67^{\circ}[/tex]
[tex]AC=56\ mm[/tex]
The other two sides can find out using trigonometry
[tex]\Rightarrow \sin 67^{\circ}=\dfrac{BC}{AC}\\\\\Rightarrow \sin 67^{\circ}=\dfrac{BC}{56}\\\\\Rightarrow BC=56\sin 67^{\circ}\\\Rightarrow BC=51.54\ mm[/tex]
Similarly, for AB
[tex]\Rightarrow \cos 67^{\circ}=\dfrac{AB}{AC}\\\\\Rightarrow \cos 67^{\circ}=\dfrac{AB}{56}\\\\\Rightarrow AB=56\cos 67^{\circ}\\\Rightarrow AB=21.88\ mm[/tex]
Angle C is given by
[tex]\angle C=90^{\circ}-67^{\circ}\\\angle C=23^{\circ}[/tex]
Related Questions
What is the value of x in the isosceles trapezoid below?
Answers
14x+14x+(3x+10)+(3x+10)=
34x+20=360=
X=10
Answer:
10
Step-by-step explanation:
Subtract ( 5 – 8√2 ) from ( -7√2 + 12 )
Answers
Answer:
−7−√2
Step-by-step explanation:
5−8√2− (−7√2+12)
−7−√2
What is the room’s perimeter?
Answers
20
Step-by-step explanation:
Please help asap!!!!
Below is a system of equations. Which method would you use to solve this? Why? Solve the problem, explaining each step.
x = y – 3
2x + y = 12
Answers
Answer:
(using substitution to solve the problem)
x=y-3
2x+y=12
2(y-3)+y=12
2y-6+y=12
3y=18
y=6
y=6
x=6-3
= (3, 6)
Step-by-step explanation:
using substitution, substitute the x in the second equation to y-3, to find the value of y. after that distribute the 2 into the parenthesis and collect like terms. once you simplify, you have the value of y, so substitute the value of y into the first equation to find x. once you have both values put them in the ordered pair form and you're done.
i hope this helps :)
Which property is being used here?
5.2345 x 1 = 5.2345
Answers
Someone help please
Answers
Answer:
It would be D
Step-by-step explanation:
HELP PLEASE!!!!!! ITS AREA AND PERIMETER THWRE ARE 5 PHOTOS PLEASE HELP <3
Answers
Answer:
Step-by-step explanation:
1. 670
2. 25500
3. 140.55
4. 54
5. 159.5
Q2: 160 + 120 + 210 + 70 + 90 + 90 = 740
Q3: (160 x 120) + (70 x 90) = 25500
19200 + 6300
Q5: As = 1/2 [tex]\pi[/tex] (6cm)^2
(6cm)^2 = 36cm
1/2 [tex]\pi[/tex] (36)
\pi = 3.14159 x 36 = 113.09 / 2 = 56.54 cm^2 area
12 x 7 = 84 + 56.54 = 140.54cm^2
Q6: 11 + 9 + 20 + 14 = 54
Q7: 9 x 11 = 99
11 x 11 = 122 / 2 = 61 99 + 61 = 160^2
What is the slope-intercept equation
for the following line?
Enter the correct
symbol, + or -
y = [?]+x+ []
answer the full equation please!!
Answers
Si 60 personas representan el 25% del total de espectadores que fueron a un evento, ¿Cuántas personas representan el 100%?
3 puntos
Answers
Answer:
240 people
Step-by-step explanation:
[tex]\frac{60}{25} =\frac{x}{100}[/tex] (x represents people)
60×100= 6000 , 25 × [tex]x[/tex] = 25[tex]x[/tex]
[tex]\frac{25x}{25x}=x[/tex] [tex]\frac{6000}{25x} = 240[/tex]
x=240
A manufacturer makes ball bearings that have a target diameter of 5 mm. Quality control engineers sample ball bearings from a batch to test the hypotheses H 0 : mu=5 mm vs. H a : mu ne5 mi , where u is the true mean diameter of the ball bearings in that batch. Suppose that H 0 is actually true. Which situation below would have the lowest probability of a Type I error?
Answers
Answer: n=30 the other one is 0.01 !
Step-by-step explanation:
khan
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
In hypothesis testing,
A Type I error occurs when we reject the null hypothesis (H0) when it is actually true.
The probability of a Type I error is denoted by the symbol alpha (α) and is usually set to a small value, such as 0.05 or 0.01.
Now,
To minimize the probability of a Type I error, we want to choose a significance level (α) that is small.
This means that we are willing to accept a lower probability of detecting a difference when one actually exists (i.e., a higher probability of a Type II error).
For example,
If we set α = 0.01, we are saying that we are willing to accept only a 1% chance of incorrectly rejecting the null hypothesis (H0) when it is actually true. This would result in a very small probability of a Type I error.
Therefore,
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
#SPJ2
Answer this for brainilest and 30points (no links or internet answer or you will get flagged
Answers
3/7 of the students in school are in the 6th grade.
A. how many 6th graders are there if the school has 70 students?
Answers
Answer:
30 students are 6th graders
Step-by-step explanation:
3/7×70= 30
Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?
y =5/4x
y =
y = 20x
y =
Answers
what is the measurement of this angle
Answers
Answer:
28º
Step-by-step explanation:
CAT = 90 - 62
CAT = 28º
Plz help! (due tonight!)
The eighth-grade class at a grade school has 12 girls and 9 boys. How many different boy-girl dates can be arranged?
Answers
Answer:
There will be 9 couples, and 3 lonely girls
Hope this helps
plz like and brainly :D
FIRST TO ANSWER GET BRAINLEST.
Which of these values is much easier to see on the box plot than on the dot plot?
A. range
B.interquartile range
C.minimum
D. maximum
Answers
Answer:
I believe the answer is B sorry if I'm wrong
Find the value of x.
Answers
What is the dot product of vectors u = <-5, 4> and v=<-8, -6>?
Answers
Answer:
16
Step-by-step explanation:
dot product = x1x2 + y1y2
= (-5)(-8 + (4)(-6)
= 40 - 24
= 16
4.0 in. 6.0 in. 4. On the floor plan shown at the right, 1.25 inches represents 2 feet. What is the actual length of the entire floor? a. Kitchen 4.0 in. 6.0 in. Dining Room b. What is the actual area of the entire floor? Explain how you found the area. length 4.0 in. Study Living Room 8.0 in. 2.0 in. Foyer width
Answers
Answer:
Part A= 19.2 Part B= 27.2
Step-by-step explanation:
4+8=12 divided by 1.25 equals 19.2
Width= 4+6=10 divided by 1.25=8
19.2+8= 27.2 is the total area
Hope this is right (:
Answer:
A. 19.2 Feet
B. 307.2 Feet
Step-by-step explanation:
A. First you divide 2 feet by 1.25 inches to figure out how much feet per inch.
2/1.25=1.6 feet
Meaning that 1 inch is 1.6 feet or 1 inch=1.6 feet
After that you add the length of 4 inches and 8 inches which equals 12 inches.
4+8=12 inches
After that you multiply 12 by 1.6
12*1.6=19.2
Meaning that the actual length is 19.2 feet
B. Once you find the length you add 4 inches and 6 inches which equals 10 inches.
Multiply 10 by 1.6
10*1.6=16 feet
After that to find the area you multiply 16 and 19.2.
16*19.2=307.2 feet
Where would
(-3,2)
be if it was reflected across the x-axis
Answers
Answer:
(-3,-2)
Step-by-step explanation:
When you reflect over the x-axis, the x remains the same but the y changes to the opposite. In this case negative. I hope this helps, have a great day!
order the numbers from least to greatest.
Answers
Answer: from least to greatest:
1. -3
2. -2 1/2
3. -2 2/5
4. -2 3/10
5. -2
Step-by-step explanation:
Answer:
-3-2 1/2-2 2/5-2 3/10-2Step-by-step explanation:
-3,
-2 1/2 = 2 5/10
- 2 2/5 = - 2 4/10
-2 3/10
-2
Owen had a sinus infection
Answers
Answer:
A-- 98.9 degrees in the morning
B-- 0.3 degrees above average
Step-by-step explanation:
Answer:
98.9 degrees F, .3 degrees
Step-by-step explanation:
Brainliest Please!!!
Marissa goes to the beach and places a mirror on the ground so when she looks down at it she can see the reflection to the top of the tree. Marissa is 5.5 feet tall. She stands 7 feet from the mirror. The mirror is 28 feet from the tree. How tall is the tree?
Answers
Answer:
69 feet
Step-by-step explanation:
took quiz
A store is open for business while it is being renovated. The noise from the renovation is increasingly driving away customers.
The daily revenue, r (d), the store has made d days since renovation began is modeled by the function r (d) = 10,000 (0.939),
What is the factor of decay in this function?
Answers
Answer:
Answer D
Step-by-step explanation:
The factor of decay is just the second term in this equation, so 0.939.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Exponential function.
The factor of decay would be the one with a Index power that is variable in nature,hence
==> D. 0.939 is the correct answer
Paul could play 16 songs on his guitar. He learns some new songs. Now he can play 23 songs. Enter an equation to represent the number of new songs, s, that Paul learns.
Answers
Answer:
23-16=7
Step-by-step explanation:
paul learned 7 new songs
Answer:
23-16=7
he learned 7 new songs
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answers
Answer:
2 by 4 is the answer have a great time
Please find the SURFACE AREA!!!!9 (you don't multiply them all together I already tried that)
Answers
Answer:
Down below.
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(4*5+5*7+7*4)
A=2(20+35+28)
A=2(83)
A=166mm^2
What is the average speed driving on the trip?
Answers
Company A charges a $125 annual fee plus $7 per hour car share fee. Company B charges $110 plus $10 per hour. What is the minimum number of hours that a car share needs to be used per year to make company A a better deal?
A. 5
B. 11
C. 6
D. 9
Answers
Answer: 6
Step-by-step explanation:
A P E X
Task: Multiplying and Dividing Expressions
Watch the instructional videos Multiplying Polynomials - With Algebra Tiles and Dividing Polynomials - With Algebra Tiles and then complete the exercises below. Express your answer as both an expression and a tile figure.
Before you begin, note that:
A positive multiplied or divided by a positive equals a positive.
A positive multiplied or divided by a negative (or a negative times a positive) equals a negative.
A negative multiplied or divided by a negative equals a positive.
Part 1-3
1: (-2x)(x-3)
2: y^2 -y / y
3: (x2+6x+8)(x+2)