ILL GIVE BRAINLIEST
Segment AB is tangent to O T at B. What is the radius of OT?
Answers
The circle T has a radius of 28 units. (Correct choice: C)
How to determine the radius of a circle
The geometrical system shown in the image is formed by a triangle and a circle, since the line segment AB is tangent to the circle, then it is perpendicular to the radius of the circle and the triangle is a right triangle. This figure is described by the Pythagorean theorem:
AT² = AB² + TB²
(AC + CT)² = AB² + TB²
(25 + r)² = 45² + r²
25² + 50 · r + r² = 45² + r²
50 · r = 45² - 25²
r = (45² - 25²) / 50
r = 28
The circle T has a radius of 28 units. (Correct choice: C)
To learn more on right triangles: https://brainly.com/question/13324532
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Related Questions
A scale factor of 5 was applied to this figure. What would be the new length of the height and width of the triangle?
Answers
Answer:
8 units
Step-by-step explanation: Hope it helps.
Write in the equation for the slope intercept form and please no links or I will report you
Answers
Answer:
y = 3/2x + 8
Step-by-step explanation:
using points (-2,5) and (0,8),
we find slope, by using rise/run aka the y's/x's. so 8-5/0--2= 3/2 for slope. (8,0) is an intercept, so b out y=mx +b has been found!
please help. 10 points
Answers
Answer:
8 divided by 1/3 is 24 because you are dividing a fraction so it is basically 8*3 (inverse operations). As for 2/3 it does not have one as a numerator so it automatically is less that 1/3
Step-by-step explanation:
Sry If it doesn't make sense!
If you are confused let me know and I will explain in the comments.
A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.
Answers
if two lines do not intersect, they are parallel
Answers
Answer:
true
Step-by-step explanation:
PLEASE HELP
Select the correct answer from each drop-down menu.
8 cm
4 cm
9 cm
3 cm
3 cm
6 cm
The given composite shape has an area of
cm² and a perimeter of
cm.
Answers
Answers:
Area = 78 cm^2
Perimeter = 42 cm
============================================================
Explanation:
Refer to the diagram below.
I've added points and labels, along with the dashed lines to break up the figure into three rectangles. The points in blue are the corner points of the original figure. The red points help set up the dashed lines.
Along the very top, we have BC = 8 cm, which breaks down into BK = 6 and KC = 2. Opposite of side KC is GJ = 2. For any rectangle, the opposite sides are always the same length.
Side AB = 9 cm. The three vertical sides of CD, EF, and GH all must add to get 9 cm in total, since the right side is the same height as the left side. We are given that EF = 3 and GH = 3, which must mean CD = 3 as well.
Through similar logic, the sides BC = 8 and DE = 4 add to 8+4 = 12 cm total. This total distance across the top must match the total distance along the bottom; i.e. the bottom horizontal sides of AH and GF must add to 12 as well. We are given AH = 6, so GF = 6 also.
Recall earlier we found GJ = 2. If GF = 6, then that leads to JF = 4.
In other words, GJ+JF = 2+4 = 6 = GF.
All of this is visually shown in the diagram shown below.
Once you have the diagram set up as shown, it's fairly straight forward from here. Compute the area of each of the three smaller rectangles and then add up those smaller areas to get the overall area.
I'll work from left to right to find the areas:
Rectangle ABKH has area of 9*6 = 54 cm^2Rectangle GKCJ has area 6*2 = 12 cm^2Rectangle JDEF has area 3*4 = 12 cm^2The total area of the composite figure is therefore: 54+12+12 = 78 cm^2
---------------------------
The perimeter is the sum of all the external sides. We'll ignore the dashed lines as they are not exterior segments.
perimeter = sum of exterior sides
perimeter = AB+BC+CD+DE+EF+FG+GH+HA
perimeter = 9+8+3+4+3+6+3+6
perimeter = 42 cm
Notes:
To keep things organized, I'm working clockwise when going from AB to BC to CD etcThere are a total of 8 exterior sides being added up to get the perimeter.The perimeter of the polygon above
Answers
A group of 4 frieds decide to attend a night of dinner and dancing on a cruise ship. The dinner and dance cruise will last 4 hours. The ship travels 18 km upstream and then travels back to the starting point. The river has a current of 2 km an hour. What is the cruise ship's speed and how long was the upstream journey
Answers
Answer:
The speed of the cruise ship relative to the current is approximately 9.424 kilometers per hour.
The cruise ship's will need 2.425 hours for its upstream journey.
Step-by-step explanation:
The total time of the cruise ([tex]t[/tex]), in hours, is the sum of the times for the upstream ([tex]t_{u}[/tex]) and downstream journeys ([tex]t_{d}[/tex]), in hours. Let suppose that both river and cruise ship travel at constant velocity, the cruise ship travels against the current in its upstream journey, whereas it is in favor of the current in the downstream journey, meaning that:
[tex]t = t_{u} + t_{d}[/tex]
[tex]t = \frac{x}{v_{S/C} - v_{C}} + \frac{x}{v_{S/C} + v_{C}}[/tex] (1)
Where:
[tex]v_{C}[/tex] - Speed of the current, in kilometers per hour.
[tex]v_{S/C}[/tex] - Speed of the cruise ship relative to the current, in kilometers per hour.
If we know that [tex]t = 4\,h[/tex], [tex]x = 18\,km[/tex] and [tex]v_{C} = 2\,\frac{km}{h}[/tex], then we have the following expression:
[tex]4\,h = (18\,km)\cdot \left(\frac{1}{v_{S/C} - 2\,\frac{km}{h} } + \frac{1}{v_{S/C}+2\,\frac{km}{h} }\right)[/tex]
[tex]\frac{2}{9} = \frac{1}{v_{S/C}-2} + \frac{1}{v_{S/C}+2}[/tex]
[tex]\frac{2}{9} = \frac{2\cdot v_{S/C}}{v_{S/C}^{2}-4}[/tex]
[tex]2\cdot v_{S/C}^{2} - 8 = 18\cdot v_{S/C}[/tex]
[tex]2\cdot v_{S/C}^{2}-18\cdot v_{S/C}-8 = 0[/tex]
The roots of the second order polynomial are, respectively:
[tex]v_{S/C,1} \approx 9.424\,\frac{km}{h}[/tex], [tex]v_{S/C,2} \approx -0.424\,\frac{km}{h}[/tex]. Since the speed is the magnitude of the velocity, a realistic solution must be a positive quantity and the solution is:
[tex]v_{S/C} \approx 9.424\,\frac{km}{h}[/tex]
The speed of the cruise ship relative to the current is approximately 9.424 kilometers per hour.
And the time needed for the upstream journey is:
[tex]t_{u} = \frac{x}{v_{S/C}- v_{C}}[/tex] (2)
If we know that [tex]x = 18\,km[/tex], [tex]v_{S/C} \approx 9.424\,\frac{km}{h}[/tex] and [tex]v_{C} = 2\,\frac{km}{h}[/tex], then time for the upstream journey is:
[tex]t_{u} = \frac{18\,km}{9.424\,\frac{km}{h}-2\,\frac{km}{h} }[/tex]
[tex]t_{u} = 2.425\,h[/tex]
The cruise ship's will need 2.425 hours for its upstream journey.
Find all the missing elements.
Round to the nearest tenth.
C
a
b
a = 5
b = 2
C = 6
B
A
С
A = [?]° B = [ 1° C = [ 1°
Answers
Answer: A= 51.3 B= 18.2 C=110.5
Step-by-step explanation:
Need help urgently right now
Answers
Answer:
m<CAD= 23 degrees
m<CAB= 67 degrees
Step-by-step explanation:
From the diagram shown;
arc ADC + arc CAB = 360
226 + arcCAB = 360
arc CAB = 360 - 226
arc CAB = 134
Also arcCD = 226 - 180
arcCD = 46degrees
Since <A = 1/2arcCD
m<CAD = 1/2* 46
m<CAD= 23 degrees
m<CAB = 90 - <A
m<CAB = 90 - 23
m<CAB = 67degrees
What is the explicit formula for this sequence?
-9, -3, 3, 9, 15, ...
Answers
Answer:
What is the explicit formula for this sequence? -9, -3, 3, 9, 15, ... - did not match any news results.
Suggestions:
Make sure that all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords
A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?
Answers
Answer:
The rabbit will run 264feet to get to the tortoise
Step-by-step explanation:
To solve this problem perfectly, we need to take note of the units and conversions involved.
The speed of the tortoise is 0.1 mi/hr
The speed of the hare is 5mi/hr
If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.
The tortoise runs 0.1 miles in 1 hour
The tortoise will run x miles in 0.5 hours.
x = 0.5 X 0.1 = 0.05 miles.
Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.
The hare will have to run for 0.05 miles before he can catch up to the tortoise.
It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.
The answer in feet is 264 feet.
Therefore, the rabbit will run 264feet to get to the tortoise
zoom in if beaded and pls help pronto
Answers
Answer:
F. six times a number less 9
Step-by-step explanation:
The statement doesn't make sense.
it would make sense if it was:
six times a number less than 9
9 - 6x
Others would make sense:
8(6/3)
x - 12
5x = 30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
-9x^2 + 19x - 9x + 6 - 17x^2 + 25 + 10x^2 + 3x
Answers
Answer:
The answer: is 118
I hope this help you enjoy :D
Step-by-step explanation:
A motorcycle can go 40 miles using one gallon of gas. About how many gallons of gas will be used to go 325 kilometers?
Answers
Answer:
5.025 gallons
Step-by-step explanation:
Step 1: Convert 325 kilometers to miles
[tex]325 = 201[/tex]
Step 2: Set up a fraction
[tex]\frac{40}{1}=\frac{201}{x}[/tex]
Step 3: Cross multiply
[tex]40 \times x = 40\\\\201 \times 1 = 201[/tex]
Step 4: Divide the values left
[tex]201 \div 40\\\\= \frac{201}{40}\\\\= 5.025[/tex]
Therefore, about 5.025 gallons of gas will be used to go 325 kilometers.
What is the spread of the data in the dot plot?
Number of Apples in Each Bag
10
11
12
13
14
15
from 0 to 5
Ofrom 10 to 15
ОООО
O from 12 to 15
O from 0 to 6
Answers
Answer:
from 10 to 15
Step-by-step explanation:
because when your finding the spread you take the highest and lowest number.
Practice:
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0)
-133°
a. 1.16 units
b. 2.32 units clockwise
c. 0.74 units clockwise
d. 0.74 units
Please select the best answer from the choices provided
Answers
Answer:
B. 2.32 units clockwise
Step-by-step explanation:
I calculated it logically
For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples).
A researcher is interested in whether people eat more or less when they are in a hurry. The researcher collects a random sample of 80 adults and invites them to eat two (identical) free meals one month apart. For one of the meals, no time restriction is placed on the meal. For the other meal, participants are told when their meal is served that they have only 10 minutes until another group is due to sit down. Half of the participants eat their hurried meal first; the other half eat it second. The researcher compares the amount eaten at each sitting. The design described_____.
John Cacioppo was interested in possible mechanisms by which loneliness may have deleterious effects on health. He compared the sleep quality of a random sample of lonely people to the sleep quality of a random sample of nonlonely people. The design described____.
a. uses a related sample (repeated measures).
b. uses a related sample (matched subjects).
c. does not use a related sample.
Answers
Answer:
A.) uses a related sample (repeated measures).
B.) does not use a related sample.
Step-by-step explanation:
The first scenario uses a related sample whereby same subjects were used to over the course of each related experiment (comparing if people eat more or less when in a hurry). After the completion of both experiment, we'll have two different reading for each subject which a b further be used to compare the difference in consumption when in a hurry and when not.
The second scenario here fails to employ a related sample design as the the subjects used have contrasting characteristics, a group consisting of lonely people and another consisting of those who aren't lonely.
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm
Answers
Answer:
8 cm and 9 cm
Step-by-step explanation:
Those are they only numbers that aren't equal to or less than the third side.
HELP ASAP I WILL GIVE BRAINIEST AND 100 POINTS PLEASEE
Answers
Answer:
What are the options tho?
Step-by-step explanation:
Answer:
1/10?
Step-by-step explanation:
total:250
red:25
25/250 simplified=1/10
The two triangles below are congruent by which case of congruence?
O SSA
O SAS
O ASA
SSS
Answers
Answer:
SSS
Step-by-step explanation:
SSS
the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?
Please help
Answers
Answer:
4/3
Step-by-step explanation:
1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer
Answers
Answer:
8x + 28
Step-by-step explanation:
What is 720° converted to radians?
One-fourth
StartFraction Pi Over 4 EndFraction
StartFraction 4 Over pi EndFraction
4 pi
Answers
Answer:
4π
Step-by-step explanation:
Answer:
720 degrees is 4pi
Step-by-step explanation:
mathematically;
1 pi is 180 degrees
x pi is 720 degrees
x * 180 = 1 * 720
x = 720/180
= 4 pi
put these algebraic expressions into verbal expressions and Coefficient/Variables
1. x^2 - 2 = 5
2. 3 - 5x = - 10
Answers
Answer:
1. 2 subtracted from x² equals 5
2. The product of x and 5 subtracted from 3 is -10
Step-by-step explanation:
1.) x² - 2 = 5
2 subtracted from x² equals 5
2.) 3 - 5x = -10
The product of x and 5 subtracted from 3 is -10
what is the surface area of this rectangular prism.Enter your answer in the box.A rectangular prism with dimensions 6 meters by 3 meters by 12 meters.
Answers
Answer:
?
Step-by-step explanation:
so first you have to do the formula then it would give you the answer
Evaluate each series.
50 points and brainless!
Answers
Answer:
Sum of n terms of a GP:
Sₙ = a₁(rⁿ - 1)/(r - 1)#1
a₁ = 5r = 2n = 9S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555Correct choice is C
-----------------------------
#2
a₁ = 12r = 1/2n = 5S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25Correct choice is A
increased in price by 1/4. After the increase it was priced at £85 what was the original price of the tshirt?
Answers
Explanation: divide £85 by 4. each part is equal to £21.25. subtract £21.25 from £85 and the original price is £63.75
Find the measure of ⦨ R . Round to nearest whole degree. Choose which method to use: Law of Sines or Use Law of Cosines.
Answers
Answer:
Law of sine
Angle R = 34°
Step-by-step explanation:
From the question given above, the following data were obtained:
Side opposite angle Q (q) = 54 ft
Angle Q = 96 °
Side opposite angle R (r) = 30 ft
Angle R =?
The value of angle R can be obtained by using the law of sine as illustrated below:
r / Sine R = q / Sine Q
30 / Sine R = 54 / Sine 96
Cross multiply
54 × Sine R = 30 × Sine 96
54 × Sine R = 30 × 0.9945
54 × Sine R = 29.835
Divide both side by 54
Sine R = 29.835 / 54
Sine R = 0.5525
Take the inverse of Sine
R = Sine¯¹ 0.5525
R = 34°
Thus, the value of angle R is 34°
A recent study in a small city stated that the average age of robbery victims was 63.5 years. A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years. At = 0.05, is the average age higher than originally believed?
Answers
Answer:
The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.
Step-by-step explanation:
A recent study in a small city stated that the average age of robbery victims was 63.5 years. Test if the average age higher than originally believed.
At the null hypothesis, we test that the mean is the believed mean age of 63.5 years, that is:
[tex]H_0: \mu = 63.5[/tex]
At the alternate hypothesis, we test if this mean is higher, that is:
[tex]H_1: \mu > 63.5[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
63.5 is tested at the null hypothesis:
This means that [tex]\mu = 63.5[/tex]
A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years.
This means that [tex]n = 20, X = 63.7, s = 1.9[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{63.7 - 63.5}{\frac{1.9}{\sqrt{20}}}[/tex]
[tex]t = 0.47[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 63.7, which is a right-tailed test, with t = 0.47 and 20 - 1 = 19 degrees of freedom.
With the help of a calculator, this probability is of 0.3219.
The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.