Answer:
26 inches
Step-by-step explanation:
5*5=25
25+1=26
Solve for x in the triangle. Round your answer to the nearest tenth.
The required value of the x in the given right angle triangle is 7.87 unit.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any other angle is a right angle.
In the given triangle,
The given side is 12 unit,
And the angle is 41°.
For any triangle having sides a, b and c and corresponding angles are ∠ A, ∠ B, and ∠ C.
sine formula can be given as,
\(\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}\)
Since, in the given right angle triangle, one angle is 41° and other angle is 90°.
And their corresponding sides are x unit and 12 unit.
Therefore, sine formula can be applied here,
\(\frac{x}{sin41} = \frac{12}{sin90}\)
\(\frac{x}{0.656} = \frac{12}{1}\)
x = 7.87
The required value of x is 7.87 unit.
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Can you solve this problem please im having trouble with this question
Answer:
The answer is 3.7
Step-by-step explanation:
Use cross multiplication to set up the equation then simplify,
17y = 63
y = 63/17
y = 3.705
Round to the nearest tenth.
Solution is y = 3.07
Good luck!
Answer:
≈3.71
Step-by-step explanation:
To get from 17 to 9, you would divide by 17 and then multiply by 9, so in order to find y, you would multiply 7 by 9/17:
7 * 9/17
= 63/17
Now, you just have to simplify. That could be written as 3 12/17 if you turn it into a proper fraction, or if you turn it into a decimal, you would get about 3.71 (rounding to the tenths).
How do economists measure a nation's standard of living?
A.by calculating GDP per person
B.by calculating per capita income
C.by calculating average personal income
Answer:
by calculating per capita income
Given the two rectangles below. Find the area of the shaded region. 2 4 10 2
What is Mary's net worth if her assets total $16000, her gross income is $45000, her student loan debt is $22000 (she has no other debts), and her annual expenses (including taxes) total $40000?
Answer:
$ 143000
Step-by-step explanation:
her net worth is her assets and income minus her debts and expenses
160000 + 45000 - 22000 - 40000 = 143000
Which statement best defines a circle?
OA. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
OB. the set of all points that are the same distance from a given point called the center
c.
the set of all points in a plane that are the same distance from a given point called the center
OD.
points in a plane that surround a given point called the center
Of the choices, the best definition for a circle is:
OA. the set of all points in a plane that are the same distance from each other surrounding a given point called the center
Some key points in this definition:
1) It refers to a set of points, indicating it is a geometric shape.
2) The points are in a plane, showing it is a 2D shape.
3) The points have the same distance from each other, indicating they lie on a curve.
4) There is a given center point, showing the points surround the center point.
5) The points surround the center point, indicating it is a closed shape.
So choice OA captures all these key aspects in defining a circle. The other choices are too vague or incomplete.
Which of the following equation is written correctly for what number is 40% of 260
Answer:
p= 0.44 x 260
Step-by-step explanation:
-7 - (-3) is equivalent to?
-10
-4
10
4
Answer:
-4
Step-by-step explanation:
-7 - (-3) =
-7 + 3 = -4
Identify whether to find GCF or LCM to solve the word problem:
April is putting together party bags. She splits 72 Reese's Cups and 90 KitKats into bags. There is no candy left over. What is the greatest number of party bags April can make?
LCM OR GCF
We need to find the GCF of 72 and 90 to solve this problem. We can calculate it in the following manner.
To solve this problem, we need to find the greatest number of party bags April can make with no candies left over. This means we need to find the greatest common factor (GCF) of 72 and 90.
The GCF of two numbers is the largest number that divides evenly into both of them. In this case, we need to find the largest number that can divide both 72 and 90 without any remainder.
Once we have found the GCF, we can divide both 72 and 90 by it to find the maximum number of party bags April can make with no candy left over.
Therefore, we need to find the GCF of 72 and 90 to solve this problem.
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Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
Anybody? Showing the work too plz?
Find the volume of the sphere to the nearest cubic foot.
Use 3.14 for pi
Radius=7 ft
A college college track coach compares the ratio of time it takes a runner to run
100 meters to 12 seconds. For a runner to be on the team, the ratio must be less
than or equal to 0.95. What is the slowest time 100 meters can be run to make
the team
3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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Can someone help me with this
Answer:
use distance formula
Step-by-step explanation:
enter each set of points into distance formula, find distance then sum all sides
The lengths of the four sides of a quadrilateral (in feet) are consecutive even integers
If the perimeter is 92 feet, find the value of the longest of the four side lengths.
The value of the longest of the four side lengths is 26 feet.
How to calculate the value?Let the integers be x, x + 2, x + 4 and x + 6.
Since the perimeter is given as 92 feet. This will be:
x + x + 2 + x + 4 + x + 6 = 92
4x + 12 = 92
Collect like terms
4x = 92 - 12
4x = 80
Divide
x = 80 / 4
x = 20
The longest side will be:
= x + 6.
= 20 + 6.
= 26 feet.
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The location of the incenter of ABC is:
A. Point D
B. Point F
C. Point E
70 = 19 - 3x
what does x equal?
Step-by-step explanation:
→ 70 = 19 - 3x
→ - 19 + 70 = -3x
→ 51 = -3x
→ -3x = -51
→ x = -51/3 = -17
→ x = -17
therefore, value of x is -17.
hope this answer helps you dear!
Answer:
\(\boxed{\bf x=-17}\)
Step-by-step explanation:
\(\bf 70=19-3x\)
\(\bf 19-3x=70\)
\(\boxed{\bf Subtract \: 19\: from\: both\: sides:}\)
\(\bf 19-3x-19=70-19\)\(\bf -3x=51\)\(\boxed{\bf Divide \: both\:sides\: by -3:}\)
\(\bf \cfrac{-3x}{-3}=\cfrac{51}{-3}\)\(\bf x=-17\)A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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Find the area, S, of the region enclosed by the curve y=x²-3x+2 and the x-axis in the interval 0≤x≤4. 소
The area enclosed by the curve and the x-axis in the interval 0≤x≤4 is 40/3.
We are given the curve y=x²-3x+2 and we have to find the area, S, of the region enclosed by this curve and the x-axis in the interval 0≤x≤4.
Let's first draw the graph of the given curve y=x²-3x+2 in the interval 0≤x≤4:
From the graph, it is clear that the region enclosed by the curve and the x-axis in the interval 0≤x≤4 is as follows:
Now, let's integrate the given curve y=x²-3x+2 with respect to x to find the area enclosed by the curve and the x-axis in the interval 0≤x≤4.
∫(x²-3x+2) dx
= x³/3 - (3/2)x² + 2x
S = ∫[0,4](x²-3x+2) dx
= [4³/3 - (3/2)4² + 2(4)] - [0³/3 - (3/2)0² + 2(0)]
= [64/3 - 24 + 8] - [0]
= 8/3 + 24
= 40/3
Therefore, the area enclosed by the curve and the x-axis in the interval 0≤x≤4 is 40/3.
Answer:
The area enclosed by the curve and the x-axis in the interval 0≤x≤4 is 40/3.
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Write the prime factorization: 52
Answer:
2² * 13
Step-by-step explanation:
Prime Factorization refers to the representation of the number as the product of prime numbers.
Dividing it by 2 until it reaches a point that it cannot be divided by 2 (since 2 is a prime number):
52/2 = 26/2 = 13
Since 13 is a prime number:
13/13 = 1
Hence,
52 = 2 * 2 * 13
= 2² * 13
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can you please help meeeeeeee
Answer:
No, No, No, Yes, Yes, Yes
A bag contains 8 red marbles, 6 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be blue?
Answer:
0.082
Step-by-step explanation:
Too much work, turn each group into fractions, multiply each by eachother, get 7/85 and convert it to a decimal.
Can someone give me the answers asap please
Answer:
C. 88.4
Step-by-step explanation:
[(92*4)+(89*2)+(85*2)+90+78]÷10
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4Find the distance between the two points in simplest radical form.
(-6,0) and (-3,-4)
Answer:
Answer:
5
Step-by-step explanation:
Answer:
I beleave the awnser is √74
Please give me brainlyist :)
Step-by-step explanation: Also if I am wrong please tell me
i need help and uh i don’t know what to do ♀️☝
Answer:
I dont get it, what is this?
Step-by-step explanation:
Can anyone help please ?!?! I’ll mark brainlist
Answer:
1/ 12
Step-by-step explanation:
Answer:
well i think it is number 2 but i really dont know sorry
Step-by-step explanation:
Calculate arc length of curves. a.Calculate the circumference of a circle of radius r using what you learned in this class about length of curves. b. Find the exact length of the spiral defined by r(t)=â¨tcos(t),tsin(t),tâ© on the interval [0,2Ï].
a. The arc length or circumference of a circle of radius r is 2πr.
b. The exact length of the spiral defined by r(t) = ⟨tcos(t), tsin(t), t⟩ on the interval [0, 2π] is π√5 + ln(2 + √5).
What is arc of a circle?A circle's arc is defined as a portion or segment of its circumference.
a. The circumference of a circle of radius r can be found using the formula C = 2πr, where π is the constant ratio of the circumference to the diameter of a circle. Therefore, the arc length or circumference of a circle of radius r is 2πr.
b. To find the length of the spiral defined by r(t) = ⟨tcos(t), tsin(t), t⟩ on the interval [0, 2π], we can use the arc length formula:
L = ∫\(_a^b\) √[dx/dt]² + [dy/dt]² + [dz/dt]² dt
Here, a = 0 and b = 2π, and we have:
dx/dt = cos(t) - tsin(t)
dy/dt = sin(t) + tcos(t)
dz/dt = 1
Therefore, the integrand under the square root becomes:
[dx/dt]² + [dy/dt]² + [dz/dt]²
= (cos²(t) + sin²(t) + 1) + t²(cos^2(t) + sin²(t) + 1)
= 2 + t²
Taking the square root and integrating from 0 to 2π, we get:
L = ∫\(_0^{(2\pi )\) √(2 + t²) dt
= [(1/2)t√(2 + t²) + (1/2)ln|t + √(2 + t²)|]_\(0^{(2\pi )\)
= π√5 + ln(2 + √5)
Therefore, the exact length of the spiral defined by r(t) = ⟨tcos(t), tsin(t), t⟩ on the interval [0, 2π] is π√5 + ln(2 + √5).
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at a dinner party, guests were served dishes of soup, rice, and tofu. every dish of soup was shared by two guests, every dish of rice was shared by three guests, and every dish of tofu was shared by four guests. every guest ate from exactly one dish of soup, one dish of rice, and one dish of tofu. if the total number of dishes was 65, then how many guests were there?
In Korea, tofu is typically offered during breakfast.
Describe breakfast.
The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.
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