Answer:
0,0
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long= [tex]2\sqrt{3}[/tex]
Step-by-step explanation:
This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.
From this, we can deduce that
hypotenuse=2*2=4, and
long= [tex]2\sqrt{3}[/tex]
HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER
Answer:
C (0,-2)
Step-by-step explanation:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading
Note that this equation is linear since all of the terms in
x and y are of degree at most 1.
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the the job.
Answer:
1075 ft
Step-by-step explanation:
25*35 = 875
8*25 = 200
875+200 = 1075
Help thank you so much
Answer:
1.c
2.b
3.a
4.d
5.c
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
Help please !! need it adap
Answer:
m < Q = 40°
m < M = 60°
Step-by-step explanation:
1.) All angles in every triangle altogether equal 180°
From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)
180 - 100 = 80
80/2 = 40
2.) This is an isoceles (all angles and sides are equal) There are three angles (divide 180 by 3)
180/3 = 60
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Circumference=25.13 Area=50.27
SECONDARY MATH III // MODULE 5
MODELING WITH GEOMETRY - 5.5
Answer:
Its Spring break pls relax
Step-by-step explanation:
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
A university wants to investigate how much its students spend on textbooks each semester. Since all
students must purchase their materials through the campus bookstore, a random sample of 15 student
accounts is selected, and the averagą dollar amount spent on textbooks is calculated.
Which of these circumstances would make it inappropriate to use this sample to calculate a 95%
confidence interval for the mean amount spent on books by students at this university?
The standard deviation of the textbook costs is below $30.
The standard deviation of the textbook costs is larger than $100.
A stem-and-leaf plot of the textbook costs shows a roughly symmetric distribution
A histogram of the textbook costs is calculated and shows a slight skew to the right.
A boxplot of the textbook costs shows two students whose amounts would qualify as outliers,
Answer:
Step-by-step explanation:
Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.
Answer:
Volume of the figure = 10π cubic meters
Step-by-step explanation:
Volume of the right prism like figure = Area of the base × Height
Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]
= [tex]\frac{1}{4}(\pi)(2)^2[/tex]
= π m²
Height of the prism = 10 m
Volume of the prism given in picture = π × 10
= 10π cubic meters
Answer: 10π
Step-by-step explanation:
solve for the missing side and round to the nearest tenths place
Answer:
A. 22.5
Step-by-step explanation:
Apply Trigonometric function.
Reference angle = 64°
Opposite side to 64° = x
Hypotenuse = 25
Apply SOH:
Sin 64 = Opp/Hyp
Sin 64 = x/25
25 × Sin 64 = x
22.4698512 = x
x = 22.5 (nearest tenth)
What’s the answer and work to this? Someone please tell me
Answer:
14
Step-by-step explanation:
If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.
The given values are:
19, -3, 7, 1, 8, 18, 42
Let's write all the values in increasing order.
-3, 1, 7, 8, 18, 19, 42
There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.
Since the median must be 11, the value we need to add is x which must be greater than 8.
-3, 1, 7, 8, x, 18, 19, 42
(8 + x)/2 = 11
8 + x = 22
x = 14
Answer: 14
Please help please no links please please anything helps
Answer:
140
Step-by-step explanation:
Possibly i'm not that great at math but this might be the answer.
Hey can someone help me measure these angles
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
Choose the number equal to:
2/3÷(-3).
A) -2
B)-2/9
C)2/9
D)2
Answer:
B) -2/9
Step-by-step explanation:
2/3 ÷ -3 = 2/3 * 1/-3
2*1 / -3*3
2/-9
-2/9
Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?
Answer:
2 1/3
Step-by-step explanation:
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
Saj wants to go to all 19 home games at a football club.
For each game, a ticket costs £28
A season ticket
costs £379
and
gives entry to all 19 home games.
In total, how much does Saj save by buying a season ticket?
Answer:
£153
Step-by-step explanation:
If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.
write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)
Answer:
[tex]x - 2y = -10[/tex]
Step-by-step explanation:
1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:
[tex]y-8 = \frac{1}{2} (x-6)[/tex]
2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.
[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]
So, the answer is [tex]x - 2y = -10[/tex].
Helppppp!!!!!!!!! Plz
The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X
45
48
42
47
43
Mean=
Standard Deviation =
Answer:
huh what do you mean
Step-by-step explanation:
im really sorry
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
Answer:
10.77 is correct answer
use x1=-5 ,x2=5
y1=4 y2=8
For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors
9514 1404 393
Answer:
g(x) = (x -3)(x -2+√7)(x -2 -√7)
Step-by-step explanation:
Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.
g(x) = (x -3)(x^2 -4x -3)
The quadratic is not factorable over integers. Its vertex form is ...
(x -2)^2 -7
so its roots are x = 2±√7.
That means the linear factorization of g(x) is ...
g(x) = (x -3)(x -2-√7)(x -2+√7)
_____
I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT
Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answer:
The answer is 65%
Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)
The circular fountain in front of the park has
a diameter of 14 feet. What is the
circumference of the fountain?
A.
43.98 ft
B.
87.96 ft
C-21.99 ft
D-153.94 ft
15 it was rigth in khan academy if u got the letter one its A
The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. The circumference of the circle will be given as,
C = πd units
The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,
C = π x 14
C = 43.98 square feet
Thus, the correct option is A.
More about the circumference of a circle link is given below.
https://brainly.com/question/27177006
#SPJ2
Will someone please please help me
Answer:
Step-by-step explanation:
12 + 5 = 17
square root of 9 = 3
5 x 4 = 20
What is the volume of the figure?