Answer:
x = 33
y = 5
Step-by-step explanation:
Line BD splits AC in half so y is also 5Since the triangles are congruent (is known because of the congruence lines) and you know two angles you can find x57+90=147 and 180-147= 33 which is xCould u have this for me please it's a laser sub
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{10 - 5}{20 - 15} \\ = \frac{5}{5} \\ = 1[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x=28.8
Step-by-step explanation:
using cosine
cos x= adjacent/hypotenuse
cos x = 71/81
cos x = 0.8765
make x subject of the formula
x= cos^-1 0.8765
x= 28.77699973
x≈ 28.8
The required value of x is 28.8 degrees for the right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown
We have to determine the value of x for the triangle.
As we know the cosine ratio is:
cos x = adjacent/hypotenuse
As per the question, substitute the known values in the above ratio,
cos x = 71/81
Apply the division operation,
cos x = 0.8765
Solve for x, and we get
x= cos⁻¹ (0.8765)
x = 28.77699973
x ≈ 28.8
Thus, the required value of x is 28.8 degrees.
Learn more about the right triangle here:
brainly.com/question/6322314
#SPJ2
The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCI students who live on campus. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Researchers must increase the response rate to achieve a narrower confidence interval. Because we see that the trust gap is inverse to sample size. We must increase data in estimating a narrower 95-percent trust range. Since the sample has increased, its error margin has decreased, this reduces the width of the trust interval.
4.
x-10
= 30
12
Solve for x.
Answer:
40-10=30
Step-by-step explanation:
x-10=30
we are going to flip the problem which would make it addition so you would do 10+30=X and we can fill in the blank of x equalling 40 because 10+30 is 40
Answer:
x = 40
Step-by-step explanation:
x - 10 = 30
=> x = 30 + 10
=> x = 40
Need 3 and 4 for those who are up to the task
Answer:
x = 18.4
y = 35º
Step-by-step explanation:
cos∅ = adj/hyp
cos49 = x/28
28cos49 = x
x = 18.4
tany = opp/adj
tany = 19/27
y = arctan19/27
y = 35º
How far does the barnacle travel in one revolution of the water wheel?
m
Answer:
2pi
Step-by-step explanation:
Right on edg assignment
Soren solves the quadratic equation x^2 + 8x – 9 = 0 using the quadratic formula. In which step did Soren make an error?
Answer:
step 3 didn't divide by 2
Step-by-step explanation:
in step
[tex] \frac{ - 8 + \sqrt{100} }{2} = \frac{ - 8 + 10}{2} = 1 \\ \frac{ - 8 - \sqrt{100} }{2} = \frac{ - 8 - 10}{2} = - 9[/tex]
Match each expression to its equivalent expression
Answer:
Step-by-step explanation:
first: x+(1/4)
second: (-1/3 )x +1/4
third: (3/4)x +1/3
solve the equation s - 12 equals 20
ASAP pls
Answer:
s = 32
Step-by-step explanation:
s - 12 = 20
s (- 12 + 12) = 20 + 12
s = 32
Step-by-step explanation:
s-12=20
s=20+12
s=32
Hope it helps.
what is the vertex of y=ax^2+c
9514 1404 393
Answer:
(0, c)
Step-by-step explanation:
Compare the given equation to the vertex form equation ...
y = a(x -h)^2 +k . . . . quadratic with vertex (h, k)
You have ...
y = ax^2 +c
Matching these forms, we see that h=0, and k=c. Then the vertex is ...
(h, k) = (0, c)
The probability that the number on the card is a perfect square is
From 2 to 101 , the perfect square numbers are ,
4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 .Total number of possible outcomes = 100.
Total number of favourable outcomes = 9 .
Hence ,
→ P ( of getting perfect square ) = 9/100
A circle fits inside a semi-circle with the diameter of 24mm.
Cauculate the shaded area.
Sorry I could not get the image
Answer:
Area of shaded part = 113 mm² (Approx.)
Step-by-step explanation:
Given:
Diameter of Semi-circle = 24 mm
Find:
Area of shaded part
Computation:
Radius of semi-cicrle = Diameter of Semi-circle / 2
Radius of semi-cicrle = 24 / 2
Radius of semi-cicrle = 12 mm
So,
Radius of small circle = 12 / 2
Radius of small circle = 6 mm
Area of shaded part = Area of semi circle - Area of small circle
Area of shaded part = [πR² / 2] - [πr²]
Area of shaded part = [(3.14)(12)² / 2] - [(3.14)(6)²]
Area of shaded part = [(3.14)(144) / 2] - [(3.14)(36)]
Area of shaded part = 226.08 - 113.04
Area of shaded part = 113.04
Area of shaded part = 113 mm² (Approx.)
A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than
12
centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of
76
bolts. The sample mean bolt length was
12.07
centimeters. The population standard deviation is known to be
σ
=
0.28
centimeters.
What is the test statistic
z
?
What is the
p
-value?
Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of
α
=
0.1
?
Answer:i dont know
Step-by-step explanation:
find the radius of a circle
if the circumference is 66cm
Answer:
10.5
Step-by-step explanation:
prove that √3cosec20° - sec20° = 4
Answer:
LHS,
√3cosec20°-sec20°hope it helps.
stay safe healthy and happy.Find the 9th term of the geometric sequence 5, -25, 125, ...
Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
===========================================================
Explanation:
a = 5 = first termr = -5 = common ratioNote that dividing any term by its previous term gets us the common ratio
r = term2/term1 = -25/5 = -5r = term3/term2 = 125/(-5) = -5The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
-----------------
To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
-----------------
The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
please help me asap!!
Answer:
x = 14
Step-by-step explanation:
The polygon given has 6 sides
Sum of interior angles of a 6-sided polygon = 180(n - 2)
substitute n = 6 into 180(n - 2)
Sum of the polygon = 180(6 - 2) = 720°
Thus:
10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720
Add like terms
52x - 8 = 720
52x = 720 + 8
52x = 728
x = 728/52
x = 14
FIND THE MISSING SIDE LENGTHS!!!!!
Step-by-step explanation:
tan 30°= root 3/ 3
r²=x² + y²
r²= 4root3 ² + 12²
r²= 48 +144
r²= 192
ŕ= 8root3
so the bottom is 12...
the other side is 4root3
[tex]4 \sqrt{3} [/tex]
and hypotenuse is 8root3
[tex]8 \sqrt{3} [/tex]
can I get some help with these please...
Answer: b d a
Step-by-step explanation:
B
D
A
Find the area of following rhombuses. Round your answers to the nearest tenth if
necessary.
Answer:
[tex]Area =55.4ft^2[/tex]
Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:
[tex]\tan(60) = \frac{4\sqrt 3}{x}[/tex]
Solve for x
[tex]x = \frac{4\sqrt 3}{\tan(60)}[/tex]
[tex]\tan(60) = \sqrt 3[/tex]
So:
[tex]x = \frac{4\sqrt 3}{\sqrt 3}[/tex]
[tex]x = 4[/tex]
At this point, we have established that the rhombus is made up 4 triangles of the following dimensions
[tex]Base = 4\sqrt 3[/tex]
[tex]Height = 4[/tex]
So, the area of the rhombus is 4 times the area of 1 triangle
[tex]Area = 4 * \frac{1}{2} * Base * Height[/tex]
[tex]Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4[/tex]
[tex]Area =2 * 4\sqrt 3 * 4[/tex]
[tex]Area =55.4ft^2[/tex]
HELPPP PLSS ILL GIVE BRANILEST!!!
Answer:
either 22/60 or .3666 recurring
Step-by-step explanation:
All you are doing is converting minutes to hours basically, so all you have to do is divide 22 by 60.
Find the volume of a pyramid with a square base, where the side length of the base is 14.7 and the height of the pyramid is 17.2 in. Round your answer to the nearest tenth of a cubic inch.
Answer: 1238.916
Step-by-step explanation:
A = (Bh)/3
B = 14.7 x 14.7
The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.
if f(x)=5x-12, what is f(2)
Answer:
f
−
1
(
x
)
=
x
−
12
5
Step-by-step explanation:
Х
Leila is buying a dinosaur model. The price of the model is 2 dollars, and she also has to pay a 7% tax
Which of the following expressions could represent how much Leila pays in total for the model?
Choose 2 answers:
107
1
100
B
0.70 + 2
1.07.2
D
7
+ 1
10
1.72
Answer: 107/100x
1.07x
Step-by-step explanation:
Since the price of the model is x dollars, and she also has to pay a 7% tax, the amount that Leila will pay in total for the model will be the addition of the price of the model and the tax. This will be:
= x + (7% × x)
= x + (7/100 × x)
= x + (0.07 × x)
= x + 0.07x
= 1.07x
This can also be 107/100x
Helpp
Based on the histogram above, which of the following statements must be true
Answer:
b
Step-by-step explanation:
because the price of money is maximum 2,500
Solve for y: 3y - x = a
Help me ask me if you want brainly
Answer:
the answer is a!
Step-by-step explanation:
In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?
Answer:
[tex]\frac{4}{20}[/tex] or 0.2 or 20%
Step-by-step explanation:
For only two tests to be needed this means that the first test would need to come back as negative and the second test would be to come back as positive. Therefore, to find the probability of this happening we first need to find the probability of each individual test and multiply them together.
The first test needs to come back negative, there are four negative individuals out of the total 5 that are in the group. Therefore, the probability of the first test is 4/5.
Now we remove the individual that has just been tested and we are left with 4 total subjects in the group, of which only 1 is positive. Therefore, the probability of the second test is 1/4. Now we need to multiply these two probabilities together to get the probability of only needing two tests.
[tex]\frac{4 * 1}{5 * 4} = \frac{4}{20}[/tex] or 0.2 or 20%
(Click the picture to see math question) please help I’ll mark brainliest
Answer:
g(x) = f(x + 2)
Step-by-step explanation:
The x value has been translated by 2
Feel free to mark it as brainliest :D
please help will give brainliest
Answer:
B
Step-by-step explanation: