can somebody help me please this is my last question i need to submit this!! help!!
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Given: a = 640, A = 70°, B = 52° in triangle ABC ; find b. Round answers to the nearest whole number
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Answer: 537
Step-by-step explanation:
Given: a = 640 A =70° B =52°
Whenever two angles and one side of a triangle is given, we can always use the sine formular to find the other side
Using the sine formula;
sin A / a = sin B /b
sin70° / 640 = sin 52° / b
cross multiply
bsin70° = 640sin52°
To get b, we divide bothside by
sin 70°
b = 640sin52° / sin 70°
b = 504. 327 / sin70°
b = 536. 693
b = 537 to the nearest whole number
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1 A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5 9 degree Celsius.
11 A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
111 A temperature increase of 5 9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I only B) II only C) III only D) I and II only
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y=mx+b
where in this case
C=
59(F−32)or
C=
59F−59(32)You can see the slope of the graph is
59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.C=
59(F)C=
59(1)=59Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
95 degrees Fahrenheit.C=
59(F)1=
59(F)(F)=
95Since
95 = 1.8, statement II is true.The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of
59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:C=
59(F)C=
59(59)C=
2581(whichis≠1)An increase of
59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.The final answer is D.
Jake has a teepee that is cone shaped it has a height of 9 feet and a diameter of 8 feet find the volume of the teepee in terms of Pi.
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V = π(r^2)h/3
Since this problem gives you the diameter and not the radius, I would take half of the diameter because a radius is half of a diameter.
The half of 8 is 4, so the radius is 4
V = π(4^2)(9/3)
V = π(4^2)(3)
V = π(16)(3)
V is about 150.8
the mean temperature during the winter in the arctic tundra is -34°c. you can convert degrees celsius to degrees fahrenheit by using the formula f=9/5c+32. what is the mean temperature in degrees fahrenheit?
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The base of a triangular prism is an isosceles right triangle with a hypotenuse of
√50 centimeters. The height of the prism is 8 centimeters. Find the surface area of the triangular prism. Round your answer to the nearest tenth.
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Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm
What is the domain of the function y= 100-x^2?
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Answer:
The domain for this function is all real numbers
Step-by-step explanation:
There is no restriction for the function y=100-x^2 since it is defined as a quadratic equation, it can managed any number
Help me please!!! ASAP
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[tex]x=0.\overline{24}\\ 100x=24.\overline{24}\\ 100x-x=24.\overline{24}-0.\overline{24}\\ 99x=24\\ x=\dfrac{24}{99}=\dfrac{8}{33}[/tex]
b)
[tex]x=0.2\overline{4}\\ 10x=2.\overline{4}\\ 100x=24.\overline{4}\\ 100x-10x=24.\overline{4}-2.\overline{4}\\ 90x=22\\ x=\dfrac{22}{90}=\dfrac{11}{45}[/tex]
c)
[tex]0.24=\dfrac{24}{100}=\dfrac{6}{25}[/tex]
the slope of the containing the point (-2,3) and (-3,1) is
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(x1,y1) = (-2,3) and (x2,y2) = (-3,1)
Which further breaks down into these four pieces of info:
x1=-2
y1=3
x2=-3
y2=1
Plug those four values into the slope formula
m = (y2 - y1)/(x2 - x1)
m = (1 - 3)/(-3 - (-2))
m = (1 - 3)/(-3 + 2)
m = (-2)/(-1)
m = 2
------------------------------------------------------
Answer: 2
[tex] \frac{ y_{2} - y_{1}}{ x_{2} - x_{1}} [/tex]
You can put your points in and get the equation:
[tex] \frac{ 1 -3}{-3+2} [/tex]
[tex] \frac{-2}{-1} [/tex]
Or just 2 as the slope
Jenny has $25 and she earns $10 for each lawn that she mows. Jenny wants to buy a concert ticket that costs $65.
Enter the minimum number of lawns Jenny needs to mow to be able to buy the concert ticket.
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Write an Inequality for the following situation
No more than 8 books are in your bag
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if number of books is x,
then
x≤8.
It says "No more than 8 books are in your bag". Here "Not more than" a specific number would be a set of all values that are "less than or equal" to given number.
So let's consider 'n' represents the number of books in the bag and we know this number can not be a negative value i.e. n is "greater than or equal" to 0.
Also n is "less than or equal" to 8 as given in the question.
Hence, the inequality would be 0 ≤ n ≤ 8.
Help as soon as possible!!!!
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3 = 24 is the right answer
4 = 27 is the right answer
an equation of the horizontal line that passes through the point (-2,5)
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y = 5 is the equation of the horizontal line that passes through the point (-2,5).
Mathematically, an equation is a statement that two expressions are equal. The expressions on either hand of the equals sign are termed the left-hand side and the right-hand side of the equation. The equals sign is perused as" is equal to" or" equals".
An equation comprises variables, numbers and comparison sign.
As the ordinate of the given point is 5 then y = 5 is the horizontal line that passes through (-2,5).
Thus, the equation that passes through the point (-2,5) and is the horizontal line is y = 5.
Learn more about equations here:
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Question 2 Unsaved Cat is 5 less than twice Dog's age. Cat is 11 years old. Find Dog's age.
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Let the dog's age be called x.
From the given statement, the following equation can be framed
Cat's age = 2*x -5
We are given to know that Cat's age is 11 years
So, we have:
11 = 2x -5
2x = 16
x = 16/2
x = 8
Dog's age = 8 years
HELP PLEASE AND ANSWER WITH STEPS thank you so much
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REASON: because 95 is greater than 75
31) h + 2c
32) the answer is 8
REASON: because the x values are 1 more than the y values
33) the answer is C
it'll make sense when you plug the x and y values in
a circle has an area of 81 3.14 units . what is the diameter in terms of 3.14a circle has an area of 81 Pi square units what is the diameter of the circle
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A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?
I'd prefer you write this as
"A circle has an area of 81 pi units . what is the diameter in terms of pi?
Area of a circle = A = pi*r^2. Note that r= diameter / 2. Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units. The diameter is then 2(9 units) = 18 units.
Your second question, separated from the first, is:
"a circle has an area of 81 Pi square units what is the diameter of the circle?"
Use the following formula or formulas: d = 2*r; A = pi*r^2; A = pi*(d/2)^2. Find r first, and then find d.
Answer:
18 units
Step-by-step explanation:
[tex]\pi r^2=81\pi[/tex]
Solve for [tex]r[/tex]:
[tex]\pi r^2=81\pi \\r^2=81\\r=9[/tex]
Knowing diameter is 2*r, we can apply the formula to find diameter
[tex]d=2*r\\d=2*9\\d=18[/tex]
What is the modulus of 5 - 3i
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The above expression exemplifies a “complex number.” A complex number takes the following form:
a + bi
In this case, A is equal to (5) while B is equal to (-3). To find the modulus of a complex number, we will need to use the following formula (let “x” represent the modulus):
x = √(a² + b²)
Insert any known values into the formula above:
x = √((5)² + (-3)²)
Simplify the right side of the equation:
x = √(25 + 9)
x = √34
We have now proven that the modulus is equal to √34.
I hope this helps!
The modulus of the complex number 5 - 3i is found using the Pythagorean theorem and comes out to be square root of 34.
Explanation:The modulus of a complex number, such as 5 - 3i, is the distance from the origin to the point representing the complex number in the complex plane. We calculate it by using the Pythagorean theorem. The modulus of the complex number 5-3i is given by √((Re z)² + (Im z)²) = √((5)² + (-3)²) = √(25 + 9) = √34, where Re z represents the real part of the complex number, and Im z represents the imaginary part. So, the modulus of the complex number 5 - 3i is √34.
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50 PIONTS AND BRANLIEST
Which of the following statements is not true?
|-5.5| > |5.4|
0.9 > -7.2
-9.4 < -6.4
|-2.3| < 0
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To estimate the percentage of all their customers that would buy a new flavor, an ice cream shop surveys the first five customers that place an order. Will this likely give an accurate estimate of this percentage? Select from the drop-down menus to correctly complete the statement:
This method is (blank) to give an accurate estimate of the percentage since it (blank) from a large enough randomly selected sample of customers.
The options for the first blank are:
A. Likely
B. Not likely
The options for the second blank are:
A. Used data
B. Did not use data
PLZ HELP!!!!!
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2 blank) Not used data.
Good luck!
- Jazz
2nd blank : Did not use data.
Hope I'm correct :)
Give me 5 stars if so!
if f(x)=8x+6, what is f(-1)
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f(x)=8x+6
f(-1)=8(-1)+6
f(-1)=-8+6
f(-1)= -2
To find f(-1), substitute x = -1 :
f(-1) = 8(-1) + 6 = -8 + 6 = -2
Answer: f(-1) = -2
A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft
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[tex]V = \pi r^{2} h[/tex]
V = volume
r = radius
h = height
Marie draws a marble out of a bag. It is either red or green. She records the color and then puts the marble back in the bag.
She repeats this process 80 times to get the following results:
Red:30
Green : 50
Because Marie knows that there are 5 marbles in the bag she knows that the probability of choosing a red marble must be either 1/5,2/5,3/5,4/5, or 5/5. Based on her data which of these models is most probable?
*THIS QUESTION IS WORTH 30 POINTS*
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Answer:
2/5 thx for the points
Step-by-step explanation:
What is the range of data in this box plot? what is the median?
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The range is the lowest number subtracted from the highest number
The lowest number is 1
The highest number is 9
9 - 1 = 8
The range is 8
------------------------------------------------------------------------------------------------------
To find the median you look at the line that separates the box plot into two sections
The median is 4
Hope this helps!
Median is the second quartile at number 4. Hope this helps
factorise 36n(squared) divide by 25 minus 1
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Answer:
[tex]( \frac{36n^{2} }{25} - 1) [/tex] factors to become [tex]( \frac{6}{5}n - 1)( \frac{6}{5}n + 1) [/tex]
Explanation:
The binomial [tex]( \frac{36n^{2} }{25} - 1) [/tex] is what is called a difference of two squares which can be identified by the equation being in the form (a² - b²) where both terms can be square-rooted.
Because the equation is a difference of two squares, its factors will be in the form: (a - b)(a + b).
With a² = [tex]\frac{36n^2}{25}[/tex] and b² = 1, we can find the square root of both and plug them into the above factor form.
√(36n² / 25) = 6n/5
√1 = 1
So the factors are [tex](\frac{6}{5}n -1)(\frac{6}{5}n +1)[/tex]
Lisa has 1 set of 12 cars and she gives her sister 3cars. What fraction of Lisa's set did she give her sister
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3/12=1/4
Hope this helps!!
Choosing seven numbers that match seven randomly selected balls when the balls are numbered 1 through 32?
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We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.
So total possible combinations of 7 numbers can be calculated as 32C7.
32C7 = 3365856
Only 1 combination can match the randomly selected combination.
So, the probability that he combination of 7 numbers will match the seven randomly selected balls = [tex] \frac{1}{3365856} [/tex]
the sum of four times a number and 17 is 33. Find the number, please? I really need help!!
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(4 x n) + 17 = 33
First, find out what 33 - 17 is. (it's 16)
4 times 4 is 16
(4 x 4) + 17 = 33
16 + 17 = 33
A box contains 20 cards numbered 1–20. You select a card. Without replacing the first card, you select a second card. Find P(1, then 20).
1. 1/190
2. 1/400
3. 1/200
4. 1/380
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First, you select a random card. You have a 1/20 chance of selecting any card. Then, without replacing the first card, you draw a second card. You have a 1/19 chance of selecting any card. In order to find the chance of both, you'll need to multiply the fractions together, giving you the 1/380 chance.
ANSWER:
Option 4 - 1/380
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
[tex]\frac{1}{38}[/tex]
Step-by-step explanation:
Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles?
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The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
Answer:
D: The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Step-by-step explanation:
Got in right on Edge
albert makes $10/Hr. at his job this week he also recieves a small cash bonus of $40 due to a company incentive program. let X represent the number of hours albert worked
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10x + 40
determine the value of x
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180 = 3x + 2x + x
180 = 6x
30 = x
Answer:
30°