Answers
Answer:
1) [tex]m\angle x = 35^{\circ}[/tex], 2) [tex]m\angle x = 60^{\circ}[/tex], 3) [tex]m \angle x = 40^{\circ}[/tex]
Step-by-step explanation:
1) Triangle is a right triangle since tangent line is perpendicular to the radius of the circle. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle [tex]x[/tex]:
[tex]m\angle x = 180^{\circ} - 90^{\circ} - 55^{\circ}[/tex]
[tex]m\angle x = 35^{\circ}[/tex]
2) Both triangles are symmetrical right triangles since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in triangles equals 180°, we find the value of the angle [tex]x[/tex]:
[tex]m \angle x = 180^{\circ} - 90^{\circ} - 30^{\circ}[/tex]
[tex]m\angle x = 60^{\circ}[/tex]
3) The figure is formed by two symmetrical right triangles. These triangles are right-angled and symmetrical since tangent lines are perpendicular to the two radii and common side is parallel to the third radius. Based on the fact that the sum of internal angles in quadrilaterals equals 360°, we find the value of the angle [tex]x[/tex]:
[tex]m\angle x = 360^{\circ} - 180^{\circ} - 140^{\circ}[/tex]
[tex]m \angle x = 40^{\circ}[/tex]
Related Questions
LOOK AT THE IMAGES PLEASE! (IF YOU ARE RIGHT I WILL MARK YOU THE BRAINLIEST!)
Answers
Answer: B
Step-by-step explanation:
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answers
We have four copies of '2' and one copy of '5' multiplied together
This is the same as saying 2^4*5
=========================================
Explanation:
Divide 80 over the smallest prime factor, which is 2
80/2 = 40
Divide that result over 2
40/2 = 20
Keep going until you cannot divide by 2 anymore
20/2 = 10
10/2 = 5
We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.
Therefore: 2*2*2*2*5 = 80
In shorthand, this condenses to 2^4*5 = 80
The factor tree is shown below. Other factor trees are possible.
Find the value of 11C6
330
0
165
462
Answers
Answer:
462
Step-by-step explanation:
(11)C(6) = 11! ÷ 6! 5!
= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)
= 462
write an equivalent expression in word form
3/8 x (1 - 1/3)
Answers
Answer:
I think it is 1/4x not sure but try it
Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
A. x ≥ 12
B. x ≥ 11
C. x ≤ 10
D. x ≥ 10
Answers
Answer:
B x >= 11
Step-by-step explanation:
80 miles total, 14 miles already done => 80-14=66 miles left.
66 miles distributed evenly across 6 days means 66/6=11
Find the measure of each numbered angle or are.
Answers
Answer:
<2 = 133degrees
<1 = 135degrees
Step-by-step explanation:
From the diagram, the angle <2 and 47 are supplementary, hence;
<2 + 47 = 180
<2 = 180 - 47
<2 = 133degrees
To get <1;
47 = 1/2(<1 - 41)
47 * 2 = (<1 - 41)
94 = <1 - 41
<1 = 94 + 41
<1 = 135degrees
A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answers
Answer:
b
Step-by-step explanation:
what is the area of a rectangle in sqare inches
Answers
Answer:
Step-by-step explanation:
To find the area of a rectangle in square inches simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
HI CAN SOMEONE HELP ME FIND THE VOLUME IN THIS MATH QUESTION TY! :)
Answers
Answer:
36/7 ft³ or 5 1/7 ft³Step-by-step explanation:
The volume of the rectangular prism is:
V = lwhV = 5/9*1/5*4/7 = 36/7 ft³ or 5 1/7 ft³75.12 increased by 30% is
Answers
Answer:
97.656
Step-by-step explanation:
75.12 * 1.3 = 97.656
Answer:
22.536
Step-by-step explanation:
=75.12 × 30÷100
= 75.12 × 0.3
= 22.536
= 22.54
Determine which of the following ordered pairs satisfies the given system of equations.
{−2x+y=8y=2x5−8
Answers
Answer:
(-3,2)
Step-by-step explanation:
I need help with this
Answers
Answer:
is b
Step-by-step explanation:
porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2
i need the answer for the parentheses
Answers
Answer:
Step-by-step explanation:
To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:
[tex]3x^2-6x=-8[/tex]
Now factor out the 3:
[tex]3(x^2-2x)=-8[/tex]
Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:
[tex]3(x^2-2x+1)=-8+3[/tex]
We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:
[tex]3(x-1)^2=-5[/tex]
and when we move the -5 back over by adding we have
[tex]3(x-1)^2+5=y[/tex] and our vertex is seen to be (1, 5)
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answers
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answers
Answer:
you would make 400 each week
Step-by-step explanation:
HELP ME PLEASE I NEED HELP
Answers
6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that would ban the possession of handguns. In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law. How large a sample size is needed to be 95% confident with a margin of error of E
Answers
Answer:
A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.
This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample size is needed to be 95% confident with a margin of error of E?
A sample size of n is needed, and n is found when M = E.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]
[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]
[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]
A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
Which expression uses the associative property to make it easier to evalute?
Answers
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
A marketing researcher must determine how many telephone numbers she needs to order from a sample provider to complete a survey of ATM users. The goal is to complete 400 interviews with ATM users. From past experience, she estimates that 70 percent of the phone numbers provided will be working phone numbers. The estimated incidence rate (percentage of people contacted who are ATM users) is 45 percent. Finally, she estimates from previous surveys that 37 percent of the people contacted will agree to complete the survey. How many telephone numbers should she order to complete the 400 interviews
Answers
Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
ou spend $62 on a game, receive $50 for painting a fence, and give $10 to your friend. You have $44 left. How much money did you start with?
Answers
Answer:
$66
Step-by-step explanation:
Let the money that you started off with be called x.
You spend $62 on a game: x-62
You receive $50 for painting a fence: x-62+50 = x-12
You give $10 to your friend: x-12-10 = x-22
You have $44 left: x-22=44, x=44+22=66
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
Answers
Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
Answers
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Answer:
7) 123°
8) 38°
9) 68°
10) 65°
11) 113°
12) 52°
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
line, d, is drawn inside the prism. Find the length of the diagonal, d. *
HELP!!!!
Answers
Answer:
C. 12.04 inches
Step-by-step explanation:
Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:
d² = x² + y² + z²
x = 10 in.
y = 6 in.
z = 3 in.
d² = 10² + 6² + 3²
d² = 100 + 36 + 9
d² = 145
d = √145
d = 12.0415946
d = 12.04 inches (nearest hundredth)
If 3x + 11 = 4x - 5, what is x?
Answers
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!
First put the same variables on one side and remember to switch their signs
3x - 4x = -5 - 11
-1 x = -16
x = -16/-1
x = 16
HELP ME PLEASEEEEEEEEEE
Answers
Answer:
(-3,3) and (4,0) are inside the triangle.
Which of the following is used to identify outliers in a set of data?
O 1.5(QR)
O 1.5(range)
O 2(mean)
O2(median)
Answers
What’s the exact volume of the cone?
Answers
Answer:
3.......................
The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answers
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the spill is first noticed, the circle has a radius of 60 meters. A response team arrives 70 minutes later, by which time the affected area has grown to a circle with a radius of 80 meters.
Required:
How rapidly was the radius of the spill changing between the time the spill was noticed and the arrival of the response team?
Answers
Answer:
0.5 ft per min
Step-by-step explanation:
in 80 minutes the radius expanded by 40%
we can set up a proportion of percent change over minutes:
.4/80 = r/1
cross-multiply to get:
80r = .4
r = .005 or 1/2 of a foot per minute.
Hope It Helps :)
The radius of the spill changing between the time of the spill was noticed and the arrival of the response team is 2/7.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the radian of the spill at time t be μ(t).
Since, radian increases at a constant rate, we have,
dμ/dt = k
r(t) = kt + c
At t = 0, r = 60 m
60 = k(0) + c
c = 60
At, t = 70, r(70) = 80 m
80 = k(70) + 60
20 = 70k
k = 20/70
k = 2/7
Then, r(t) = 2/7t + 60 and the rate of change of radian of the spill is 2/7 per min.
To know more about equation:
https://brainly.com/question/29657983
#SPJ5
Help, will mark brainliest, and show work
Answers
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).
Thus, we can set up the following proportion:
[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]