Answers
Given:
A right angle triangle ABC, right angled at C.
To find:
The measure of θ.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
In triangle ABC,
[tex]\tan \theta=\dfrac{AC}{BC}[/tex]
[tex]\tan \theta=\dfrac{2.7}{5}[/tex]
[tex]\tan \theta=0.54[/tex]
It can be written as
[tex]\theta=\tan^{-1}0.54[/tex]
[tex]\theta\approx 28.369[/tex]
Therefore, the measure of θ is 28.369.
Related Questions
1/8 times 4/4 pls hurry
Answers
Answer:
its .125
edit: .125 = 1/8th
Step-by-step explanation:
4/4 is 1 times .125=1/8th
4/32
Simplified :
1/8
Kandice can bake 48 cakes in 6 days. How many cakes can she make in 4 days?
Answers
8 x 4 = 32
She can bake 32 cakes
Answer:
32 cakes
Step-by-step explanation:
Divide 48 by 6 = 8
8 x 4 = 32
If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?
Answers
Answer: Joe would have 7 apples.
Step-by-step explanation:
Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.
2 + 5 = 7
Joe would have 7 apples.
Scarlet is buying a watch that cost 49$ Is sales tax are 6% how much will be added to the cost of the watch?
Answers
Answer:
$51.94
Step-by-step explanation:
Basically just take 6% of 49 and at it up to get your final answer!
Answer:
$51.94
Step-by-step explanation:
49* 1.06= $51.94
Need help and explain please!!
Answers
Answer:
[tex]x=-4\text{ and } x=3[/tex]
Step-by-step explanation:
We are given the second derivative:
[tex]g''(x)=(x-3)^2(x+4)(x-6)[/tex]
And we want to find its inflection points.
To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.
Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.
So first, finding the zeros, we see that:
[tex]0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6[/tex]
So, we can draw the following number-line:
<----(-4)--------------(3)----(6)---->
Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.
Testing for x < -4, we can use -5. So:
[tex]g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0[/tex]
Since we acquired a positive result, g(x) is concave up for x < -4.
For -4 < x < 3, we can use 0. So:
[tex]g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216<0[/tex]
Since we acquired a negative result, g(x) is concave down for -4 < x < 3.
And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.
For 3 < x < 6, we can use 4. So:
[tex]g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16<0[/tex]
Since we acquired a negative result, g(x) is concave down for 3 < x < 6.
Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.
And finally, for x > 6, we can use 7. So:
[tex]g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0[/tex]
So, g(x) is concave up for x > 6.
And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.
-6(y + 15) = -3y + 6
What value of y makes the equation true? Enter the answer in the box.
Answers
Answer:
y = −32
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
the house on one side of Elm Street follows a pattern the first five houses are numbers 41, 47 53, 59 and 65 if the pattern continues which of the following could be a house number on Elm Street. A- 75, B- 77, C- 81, D- 87
Answers
Step-by-step explanation:
Notice that:
47 - 41 = 6,53 - 47 = 6,59 - 53 = 6, 65 - 59 = 6.Every house number on the side of Elm Street is 6 more than the previous one.
If we continue this pattern, we will see the following house numbers:
65 + 6 = 71,71 + 6 = 77,77 + 6 = 83,83 + 86 = 89.Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)
Hi, a recipe calls for 1/2 cups of flour. How much flour should be used if only half of the recipe is to be made. Thank You.
Answers
Answer:
¼ cup of flour
Step-by-step explanation:
½ of ½ cup = ½×½ cup = ¼ cup
Answer:
1/4 cup of flour
Step-by-step explanation:
If you are doing half the recipe, and the recipe calls for 1/4 cup of flour, you divide the recipe (And portions), in two. So, half of 1/2 is 1/4,
please help me ASAP thank you
Answers
101+ 6x-5=180
6x=84
x=14
hope this helps!
Answer:
x = 14
Step-by-step explanation:
Since m || n, the two adjacent angles (101° and (6x-5)) must add up to 180°.
180° - 101° = 79°. Therefore, 6x - 5 = 79.
Add 5 to both sides, and the equation is 6x = 84.
Then divide both sides by 6 to get x = 14.
If 24 is increased to 60. Find the percent increase.
Answers
Explaination: Convert the fraction to a decimal, then multiply by
100
Helppppp pleaseeee xxxx
Answers
Answer: a) one central angle is QPR
b) arc QTS is a semicircle
c) arc QR is a major arc
d) arc QTR = 235
e) arc QR = 125
Step-by-step explanation:
A central angle is an angle with its vertex as the midpoint of the circle.
A semicircle is half of a circle. Segment QS goes through the midpoint P splitting the circle in half : arc QTS and arc QRS are both semicircles.
The degree of a central angle is equal to the arc it encompasses. Central angle QPR is equal to 125, therefore arc QR is equal to 125 as well.
Given this information we can now find the remaining arc QTR. A circle is equal to 360 degrees. We know part of the circle is 125 degrees which means the remaking portion must be 235 degrees.
360 - 125 = 235
Look at the figure below:
An image of a right triangle is shown with an angle labeled y.
If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b
cos y° = 6a
cos y° = 6b
cos y° = b divided by 6
Answers
Answer:
The third one is the answer
Building B; it is around 16.35 feet taller than building A
Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b cos y° = 6a cos
If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?
24 units
Using the understanding of trigonometric ratios, cos y = b/6.
What are trigonometric ratios?The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
tan y = a/b
sin y = a/6
tan y = sin y/ cos y
cos y = sin y /tan y = (a/6)/(a/b) = b/6
Learn more about trigonometric ratios here
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Lydia sold pumpkin seeds at the County Fair. She used a graph to document
her sales. On the graph, what point represents the unit price?
Answers
Answer:
dang it can someone pls do this
Step-by-step explanation:
Create your own problem using the following informatio
Then, solve it.
1. Ratio is 2:5:6= 78
renn increases to 20
Answers
Create your own problem using the following information
ratio is 2:5:6=78
The wheels on an adult size 4-wheeler has a radius of 14 inches. What is the distance the wheel will travel in one full rotation?
Answers
Distance cover in full rotation is 87.92 inches
Full rotation distance:Given that;
Radius of wheel = 14 inches
Find:
Distance cover in full rotation
Computation:
Distance cover in full rotation = Circumference of wheel
Distance cover in full rotation = 2πr
Distance cover in full rotation = 2(3.14)(14)
Distance cover in full rotation = (6.28)(14)
Distance cover in full rotation = 87.92 inches
Find out more information about 'Circumference'
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Obtuse angles are greater than 90 degrees.
True or false
Answers
Answer:
true
Step-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees. However, A reflex angle measures more than 180 degrees but less than 360 degrees.
I need some help and can you please show your work? Thank you have a good day
Answers
If 4 lemons altogether cost $7, you want to divide the price by 4 to find the price for one single lemon.
7/4 = $1.75
Now if you buy 4 lemons that cost $1.75, your total will add up to $7
The ratio of red jellybeans to purple jellybeans is 9:5. What fraction of the jellybeans are red?
Please the first person who does it gets brainliest!
Answers
the answer is 4/5 i don't know
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain
Answers
Answer:
No, he is going to have $496, which is $4 dollars less than what he wanted.
Step-by-step explanation:
I need this ASAP.
preschool has a student to teacher ratio of 5:2 which of the following ratios is equivalent to this ratio?
A 45 teachers to 18 students
B 45 students to 18 teachers
C 35 students to 10 teachers
D 10 students 7 teachers
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!
Bar Model for for this problem
58+37-16
Answers
58+37-16
95-16
=79
What is £108.72 rounded to the nearest pound?
Answers
Answer:
£109
Step-by-step explanation:
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
Answer: is, £109, rounded to the nearest pound.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
£108.72 has to be rounded off.
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
hence, Answer: is, £109, rounded to the nearest pound.
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Given the sequence 2, 3, 4, 5, ...., where x = 0, 1, 2, 3, ...., what is the first term in the sequence?
2
3
4
5
Answers
Answer:4
Step-by-step explanation:
Answer:
gnkñmbklkjv nh m knvgiffifgyjbnbn
gjekk ñunvfjm hglvfhmngbk
Angle MNO measures 112°. What is the measure of angle LMN?
34°
45°
56°
68°
Answers
Answer:
68°
Step-by-step explanation:
A complete angle is 180 degrees, if MNO is 112 degrees, then you will subtract the two numbers to find the angle measure for LMN
180 - 112 = 68
The value of the angle LMN is [tex]68^{0}[/tex]
What is rhombus?A rhombus is a special case of a parallelogram. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or rhombus diamond.
It is given that a rhombus LMNO with one angle MNO measures [tex]112^{0}[/tex].
We need to determine the value of the angle LMN.
Now, we know that the sum of the corresponding angles in the rhombus is always equals to [tex]180^{0}[/tex].
Therefore, angle MNO and angle LMN are the corresponding angles of the rhombus LMNO.
Thus,
Angle MNO + Angle LMN = [tex]180^{0}[/tex]
[tex]112^{0}+Angle LMN = 180^{0}[/tex]
Angle LMN = [tex]180^{0} -112^{0}[/tex]
Angle LMN = [tex]68^{0}[/tex]
Hence, the value of the angle LMN is [tex]68^{0}[/tex].
Find out more information about rhombus here
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Find the value of x to the nearest tenth
34
59°
х
Answers
Answer:
66.0is your answer.
cos59=34/x
x=34/cos59=66.01
answer A 66 is WRONG
What is the correct answer
Answers
Answer:
i think 3rd
Step-by-step explanation:
3(x+6)-x=86
what is x?
pLS hELP
Answers
Answer:
x = 34
Step-by-step explanation:
3(x+6)-x=86
3x+18-x =86
2x+18 =86
2x =68
x=34
2x+18=86
subtract 18 from both sides you get
2x=68
divide both sides by 2
x = 34
Mr. Ailey gave his class 45 minutes to read. Davida reads 27 3/4 pages in that time. At what rate, in pages per hour, did Davida read?
A 42
B 36
C 34
D 37
Answers
Answer:
37 pages per hour
Step-by-step explanation:
Given that :
Time Given to read = 45 minutes ; 45 / 60 = 0.75
Number of pages readable ad by Davida within the given time frame = 27 3/4 pages
David's reading rate in pages per hour :
Number of pages read / time taken (hrs)
[27 3/4] ÷ (45/60)
[111 / 4] ÷ (45/60)
(111 / 4 ) * (60/45)
(111 * 60) / (4 * 45)
6660 / 180
= 37 pages per hour
Solve for x: 1 over 3 (2x − 8) = 4. (10 points)
2
6
10
10 over 3
Answers
Answer:
10
Step-by-step explanation:
i got an 100 on my quiz
What is the slope of the line connecting the points (10, 5) and (20, 25)?
Answers
Answer:
2
Step-by-step explanation:
20-10=10
25-5=20
20÷10=2
Answer:
2
Step-by-step explanation:
y-y/x-x
25-5/20-10=20/10=2