Answers
====================================================
Explanation:
Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.
The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.
We then use the pythagorean theorem to find the missing leg length.
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (22)^2 = (44)^2
(AB)^2 + 484 = 1936
(AB)^2 = 1936 - 484
(AB)^2 = 1452
AB = sqrt(1452)
AB = 38.105118 which is approximate
AB = 38.1 after rounding to the nearest tenth
Related Questions
Emily needs 12 cups of fruit juice for a punch recipe. The juice comes in quart bottles. How many bottles of juice should Emily buy?
Answers
Answer: She should buy 3 bottles
Step-by-step explanation: 1 quart = 4 cups. 4x3=12
A website lists homes for sale in a suburban town. The site provides information including neighborhood, selling price, number of bedrooms, and whether the home has a garage. What are the individuals in this setting?
homes
neighborhoods
selling prices
bedrooms
answer is homes
Answers
Based on the description above, the individuals in this setting is option A: homes.
Whys the setting home?The website lists homes for sale in a suburban town and provides information such as neighborhood, selling price, number of bedrooms, and whether the home has a garage.
In this case each house is an instance or a data point of a "home" object, these objects have different attributes or features like neighborhood, selling price, number of bedrooms and garage, these attributes are used to describe the characteristics of the home, they are also called features.
Therefore, each home is an individual unit being sold on the market. Neighborhoods, selling prices, and bedrooms are attributes or characteristics of the homes, and they help provide more information about each individual home being listed.
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Which number is less than -1.5?
1. -1
2.-1.5
3.-1 1/3
4.-1 2/3
Answers
Answer:
4.) -1 2/3
Step-by-step explanation:
it means -1.66666666
As an estimation we are told 5 miles is 8 km.
Convert 52 km to miles.
Answers
Answer:
32.5 miles
Step-by-step explanation:
We can convert 52 km to miles using the given estimation.
To convert 52 km to miles, create a proportion where x is how many miles are in 52 km:
[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{52}[/tex]
Cross multiply and solve for x
8x = 260
x = 32.5
So, in 52 km, there are approximately 32.5 miles
52 km is approximately equal to 32.5 miles.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
If we are given the estimation that 5 miles is approximately 8 km, we can use this ratio to convert 52 km to miles.
Let's set up a proportion:
5 miles / 8 km = x miles / 52 km
Cross-multiplying, we get:
5 miles × 52 km = 8 km × x miles
260 miles = 8x
To solve for x, divide both sides of the equation by 8:
260 miles / 8 = x
x ≈ 32.5 miles
Therefore, 52 km is approximately equal to 32.5 miles.
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Grandma Meyer uses the recipe to make a soup.
Part A: How much vegetable stock and cream are needed?
Answers
Answer:
um u gotta give numbers how r we gonna answer?
Step-by-step explanation:
How many pieces of 2/3 yard can I cut if I have 6 1/3 yards of material
Answers
Answer:
9
Step-by-step explanation:
6 1/3 yards of material is 19/3 yards total. 6 yards broken into thirds is 18/3. 18 divided by 2 is 9. There are 9 total pieces to cut, and an extra 1/3 left over
It takes 52 yards of fabric to make 8 costumes for the dance recital. How many yards are needed to make one costume?
Make a Ratio Table
(MUST INCLUDE THE TABLE!!)
Answers
Total 6.5 yards , fabaric are needed to make one costume for the dance recital.
We have , Total lengths of fabaric present for making costumes = 52 yards
Total number of costumes for the dance recital made from 52 yards = 8
we have to calculate the length of fabaric in yards are used for make one constume .
Let the " x yards " be the fabric length used to make one constume.
Now, total fabric length used to make 8 conatumes = 8x yards
but it will be equals to 52 yards . So, we get a simple linear equation with one variable, i.e
=> 8x = 52
=> x = 52/8
=> x = 6.5
So, the required fabric length is 6.5 yards .
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Is the equation a linear equation? xy+2y=8
Answers
Answer:
NO it is not linear
Step-by-step explanation:
hey please, i wanna help you and everybody viewing this go to m a t h w a y put your answer in and when it asks to "how should i answer" look up determine if linear.
Radicals
How do I Simplify
(4√5-3)(√5-2)
Answers
Answer:
26 - 11√5
Step-by-step explanation:
(4√5-3)(√5-2)
= 4√5 (√5-2) -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)
= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2
= 26 - 11√5
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A type of medicine is given in a 100-milligram dosage. The medicine comes in 14-gram bottles. How many 100-milligram dosages are in a bottle?
Answers
Answer:
140 doses
Step-by-step explanation:
1 gram = 1000 milligrams
1 gram = 10 doses
10*14 = 140
Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10 year term life insurance policy. The premium per $1000 is $8.95. What is her annual premium?
Answers
Answer:
$863
Step-by-step explanation:
Given: Carla Arslanian is 55 years old. She wants to purchase a $100,000, 10-year term life insurance policy.
To find: What is her annual premium?
Solution: Insurance companies use mathematical calculation and statistics to calculate the number of insurance premiums they charge their clients.
Annual premium = face value x rate $100
Annual premium (for building) = $100,000 ÷ $1000 x 10 = $1000.
The sum of the annual premium is $863.
Identify similarities and differences in finding the volume of cylinders, cones, and spheres.
Answers
The volume of the cone is one third the volume of the cylinder.
The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter
How to illustrate the information?Similar to a prism, a cylinder has two bases, but they are circles rather than polygons. A cylinder's sides are also curved rather than flat. A cone has a vertex that is not on the base and a single circular base. The sphere is a figure in space with equal distances between each of its points and the center.
The cone's volume is one-third that of the cylinder. A sphere's volume is 2/3 that of a cylinder with the same radius, and its height is equal to its diameter.
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Lena decides to make 1 batch of mac-and-cheese
and 3 pizzas. How many tablespoons of basil does
she need?
Answers
On solving the provided question, we can say that - equation at factors x= -3 that value of a is = 33
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
4x^2 + 5x - 8
x = -3
36 + 15 -8
33
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Mario's pizzeria puts olive pieces along the outer edge (periphery) of the crust of its 18-inch (diameter) pizza. Assuming that the pizza is cut into eight slices and that there is at least one olive piece per inch of crust, find how many olive pieces you will get in one slice of pizza.
Answers
Answer:
Radius= 9 in.
Circumference= 2π*9=56 (rounded)
So you'd get at least 56 pieces in the crust of the pizza.
Divide the answer by 8 to get the average number of piece per slice.
56/8
= 7 pieces approximately.
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(x - 13)
155 solve for x
It equals 180 but I don’t know how to solve it
Answers
The solution of x in the given linear equation (x - 13 + 155 = 180) is equal to 38.
To solve the equation (x - 13 + 155 = 180), we need to pursue the following steps.
Step 1. Move all terms to the left:
⇒(x - 13 + 155 - (180)) = 0
Step 2. Add all the numbers jointly, and all the variables
⇒(x - 38) = 0
Step 3. Get rid of parentheses
⇒x - 38 = 0
Step 4. Transfer all terms including x to the left, and all other terms to the right
⇒x = 38
Hence, the required solution of x in the given linear equation (x - 13 + 155 = 180) is 38.
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Find the Surface area and volume of the larger figure:
scale factor = 1:3
SA = 81 cm^2
V = 135 cm^3
Plz help
Answers
V=405 cm^3
There are 200 students, where 86 of them were in the athletics team. Therefore, ___% of the students were in the athletics team.
Answers
Answer:
43%
Step-by-step explanation:
calculate percentage as
( number of students in athletics team ÷ total students ) × 100%
= ( 86 ÷ 200) × 100%
= 0.43 × 100%
= 43%
86 divided by 200=0.43
0.43 times 100= 43
A cylindrical aluminum soda can is to hold 12 ounces of tasty beverage. What are the dimensions of the can that will minimize the amount of aluminum used
Answers
A cylindrical can with volume 355 ml will use the least aluminum if its radius is about 3.84 cm and its height is about 7.67 cm.
What is a reasonable approximation for the volume of a soda can?The soda cans are advertised as having a volume of 12 ounces, or 355 milliliters. The remaining head space is just under 25 ml. The can weighs about 13 g by itself. 39 g, or about 11%, of sugar, make up 355 ml of Coke.
How much pressure does a 12 oz. soda can typically hold?When canned at 4 °C and stored at 20 °C, 12 oz. soda cans typically have pressures of about 120 kPa and 250 kPa, respectively. A 7UP® can that has been refrigerated contains 210 kPa of pressure. Pepsi-Cola®, on the other hand, has 276 kPa at about 16 °C.
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You need to split it in half then multply then add
Answers
Answer:
378 because 6×7 is 42 and 16×21 is 336 and them and get. 378
what can 16 and 4 both be divided by
Answers
Answer:
4
Step-by-step explanation:
they can both be divided by 4
Need this question quick 20 points
Answers
On solving the provided question we can say that the rectangular form of the equation is y = -1
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Ф = [tex]\pi[/tex]/2
y = - 1
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How do you compare two slopes on a graph?
Answers
Two slopes can be compared on a graph by analyzing the steepness of the lines and their direction (positive or negative).
The steepness of a line on a graph is determined by its slope, which is the ratio of the change in y to the change in x (rise over run). A steep line has a large slope, meaning that for a small change in x, there is a large change in y. A shallow line has a small slope, meaning that for a small change in x, there is a small change in y. To compare two slopes, one can compare the steepness of the lines by comparing the absolute value of the slopes.
If one line has a larger absolute value than the other, it is steeper. Additionally, one can also compare the direction of the slope, which is determined by the sign of the slope. A positive slope indicates that the line is increasing and a negative slope indicates that the line is decreasing. By comparing the steepness and direction of the slopes, one can determine whether the two lines are parallel or not, and whether they are going in the same direction or not.
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Please help with this question I’m confused on it
PLEASE HELPP
Answers
A. Triangle ABC is similar to triangle DEF.
B. The value of x is 21.
What are similar triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are items that feature more than two figures that are the same shape but different sizes.
Here, we have
Given a triangle and we have to show both triangles are similar.
A. ABC will be similar to DEF if two sides along with their corresponding angle of ABC is equal to two sides and their corresponding angle of DEF. ABC will be similar to DEF if the corresponding ratios of all sides of both triangles are equal to each other.
Hence, triangle ABC is similar to triangle DEF.
B. By the property of similar triangles,
= AB/DE = AC/DF
= 14/x = 10/15
x = 21.
Hence, the value of x is 21.
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What is the smallest multiple of 6 greater than 115?
Answers
Answer:
120
Step-by-step explanation:
First, divide 115 by 6:
115/6 =
(114 + 1)/6 = ==> 114 is a multiple of 6
114/6 + 1/6 = ==> distribution property
19 + 1/6 = ==> simplify
19 1/6 ==> the smallest integer greater than 19 1/6 is 20
Hence, multiply 20 by 6 to get 120.
Please help ASAP it’s timed
Answers
Hope I helped sorry if I’m wrong
You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 percent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?
A) $800 in 5%, $200 in 7%
b) $400 in 5%, $600 in 7%
C) $200 in 5%, $800 in 7%
D) $500 in 5%, $500 in 7%
Answers
Answer:
B) $400 in 5%, $600 in 7%
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 6.6/100
r = 0.066 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.066/12)(12)(7.5)
A = 10,000.00(1 + 0.0055)(90)
A = $16,382.75
Therefore, you will need to invest $400 in 5%, $600 in 7% acoounts
Answer:
Step-by-step explanation:
C) $200 in 5%, $800 in 7%
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What is the percent that the temperature of a ufo that hits in the middle of the Arctic and is eaten by a giraffe is 72 degrees?
Answers
Answer:
67°
Step-by-step explanation:
TYAJSJSHSSNDNDBSBSBSBBSD
Pls help me with this no links please and Thank you
Answers
Answer:
im sorry you need to take a better pic i can see the graphs
Does 3 4 5 make a right triangle?
Answers
Answer:
Yes
Step-by-step explanation:
The side lengths are a Pythagorean triple.
10x - 4(2x + 1) simpifly PLEASE
Answers
Answer:
2x - 4
Step-by-step explanation:
10x - 4 ( 2x + 1 )
= 10x - 8x - 4
= 2x - 4