Answer:
BC = 17.2.
Step-by-step explanation:
Since CAB = 90º, this is a right triangle.
The triangle format is given below:
C
A B
We have that AB = 8.6, and angle B measures 60º.
Length of BC:
BC is the hypotenyse.
Side AB is adjacent to angle B = 60º.
In a right triangle, angle [tex]\alpha[/tex], it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:
[tex]\cos{\alpha} = \frac{s}{h}[/tex]
In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So
[tex]\cos{\alpha} = \frac{s}{h}[/tex]
[tex]0.5 = \frac{8.6}{h}[/tex]
[tex]0.5h = 8.6[/tex]
[tex]h = \frac{8.6}{0.5}[/tex]
[tex]h = 17.2[/tex]
BC = 17.2.
What are the coordinates of the point on the directed line segment from (-7, 10) to
(-2,-5) that partitions the segment into a ratio of 2 to 3?
PLEASE HELP AND BE FRFR
Answer:
the answer is 8 !!!!!!!!!!!!!!!!!!!!!!!!!!!
inverse equation x-19 = -23
Answer:
Isolate the X by adding 19 on both sides sicne the invers of -19 is 19
-23+19= -4
now you’d get
x= -4 since its a one step equation and X is isolated
Factorise fullyc^3+ c^2
Answer:
c^2( c+1)
Step-by-step explanation:
c^3+ c^2
The greatest common factor is c^2
c^2( c+1)
The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of
this sign in inches?
55 in.
B
15 in.
7 in.
D 110 in.
Answer:
A
Step-by-step explanation:
The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Length of diagonal of square = √(2) × side
It is known that,
Area of square = Side²
Given, the area is 219 square inches.
Side² = 219
Side = √219 = 14.79 ≈ 15 in.
Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".
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PLEASE HELP! Will give brainliest! Worth 30 points!
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
Tania Ramirez purchases 25 hanging file folders for $6.99. What is the price
per folder?
HELPPPPPPPPPPPPPPPPPPP
Answer:
simple.
Step-by-step explanation:
If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.
Help help help help help
I gotta take a big śhit
mrs jones mowed 2/5 of her lawn. her son mowed 1/4 of it. how much of the lawn. How much of the lawn still needs to be mowed
Answer:
7/20 of the lawn still needs to be mowed.
The son mowed most of the lawn 7/20 of the lawn still needs to be mowed.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Mrs. jones mowed 2/5 of her lawn and her son mowed 1/4 of it.
Now, Size of the lawn mowed by Miss Jones = 1/4
And, Size of the lawn mowed by her son = 2/5
To know who mowed the most lawn, find the LCM of the denominators.
The LCM of 4 and 5 = 20
Make the denominators of both fractions to be 20
Hence, Size of the lawn mowed by Miss Jones = 1/4 x 5/5 = 5/20
And, Size of the lawn mowed by her son = 2/5 x 4/4 = 8/20
Since, 8/20 > 5/20, Miss Jones son mowed more part of the lawn than Miss Jones.
Hence, The part of the lawn still needs to be mowed is,
⇒ 1 - 1/4 - 2/5
⇒ 7/20
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Brianna used two congruent parallelograms and a square to create the
figure shown.
Answer: the awnser is 33 3/4
Step-by-step explanation: im literally doing the same test
The area of a parallelogram can be found by finding the product of its height and base. The area of the resulting figure is 105/4 sq. ft.
What is a Parallelogram?A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.
Each side of the square is given 4 1/2 ft,
And the height of each parallelogram 1 1/2 ft.
Now, the area of square is (side)^2 and the area of parallelogram is height × base.
Thus, area of given figure is given as,
Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)
= 105/4 sq. ft.
Hence, the area of the given figure is 105/4 sq. ft.
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Which of the solutions are extraneous?
Solve 3(3/5)*2(3/4)*3(5/6)
Answer:
6.75
Step-by-step explanation:
Multiple: 3 * 3/
5
= 3 · 3/
1 · 5
= 9/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(9, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - three multiplied by three fifths = nine fifths.
Multiple: the result of step No. 1 * 2 = 9/
5
* 2 = 9 · 2/
5 · 1
= 18/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(18, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - nine fifths multiplied by two = eighteen fifths.
Multiple: the result of step No. 2 * 3/
4
= 18/
5
* 3/
4
= 18 · 3/
5 · 4
= 54/
20
= 27 · 2/
10 · 2
= 27/
10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(54, 20) = 2. In the next intermediate step , cancel by a common factor of 2 gives 27/
10
.
In words - eighteen fifths multiplied by three quarters = twenty-seven tenths.
Multiple: the result of step No. 3 * 3 = 27/
10
* 3 = 27 · 3/
10 · 1
= 81/
10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 10) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - twenty-seven tenths multiplied by three = eighty-one tenths.
Multiple: the result of step No. 4 * 5/
6
= 81/
10
* 5/
6
= 81 · 5/
10 · 6
= 405/
60
= 27 · 15/
4 · 15
= 27/
4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(405, 60) = 15. In the next intermediate step , cancel by a common factor of 15 gives 27/
4
.
In words - eighty-one tenths multiplied by five sixths = twenty-seven quarters.
A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons of mass into energy every second. How many tons of mass will be transformed into energy during the star's 10-billion-year lifetime. Hint: Find the number of seconds in 10 billion years.
Answer:
2.20752 x [tex]10^{24}[/tex]
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
365 days refer to the total number of days per year86,400 seconds refer to the number of seconds per dayLet's solve.
365 x 86,400 = 31,536,000 or 3.1536 x [tex]10^{7}[/tex]Therefore, one year has 3.1536 x [tex]10^{7}[/tex] seconds.
Next, you have to know the number of seconds in 10 billion years.
(3.1536 x [tex]10^{7}[/tex]) x (1.0 x [tex]10^{10}[/tex]) = 3.1536 x [tex]10^{17}[/tex]The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
(3.1536 x [tex]10^{17}[/tex]) x 7,000,000 = 2.20752 x [tex]10^{24}[/tex]What is a rational number between -2.25 and -2.8? I NEED THIS RIGHT NOW, PLEASEEEEE, IMWILL GIVE A THANKS, 5 STARS, AND BRAINLIEST, ILL EVEN ANSWER A QUESTION YOU HAVE, PLEASEEEEE
Answer:
y
=
x
2
+
5.05
x
+
6.3
Step-by-step explanation:
what is the P.O.I for 5.2x-y=4 1/2x+y=1
Answer:
X = 4/13
Y = - 5/13
Step-by-step explanation:
Since all of the equalities are true, the ordered pair is the solution of the system
(x/2-3)/5=6 convert to english sentence
The functions f(x),8(x), and h(x) are defined below.
f(x)=32
g(x)= 10x+4
h(x)= x - *
Calculate the indicated function values. Simplify your answers,
13. f(7)
14. f(-9)
15. f(s)
16. f(s – t)
17. g(7)
18. g(-9)
19. g(s)
20. g(s - t)
Answer:
Step-by-step explanation:
f(7) = 32
f(-9) = 32
f(s) = 32
f(s-t) = 32
g(7) = 10·7+4 = 74
g(-9) = 10(-9)+4 = -86
Multiply the polynomials. (3x − 9)(5x + 1)
How do I find the correct Domain.
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
hope this helps a little
Which expression means the same as "25 less that 5y"
Answer:5y-25
Step-by-step explanation:
Answer:
5y - 25
Step-by-step explanation:
that expression shown 25 less than 5y
hope this helps...
56+7= _ + _ =
using number bonds by making a 10 or adding to the ones
Answer:
60+3
Step-by-step explanation:
Find the equation of the line parallel to the line g(x) = -0.01x + 2.01 through the point (1, 2).
Answer:
Baka renejay to HAHAHHA
What number makes the equation true? Enter the answer in the box
Answer:
6
Explanation:
8 x 6 = 48
48 ÷ 6 = 8
For school spirit day, 11.875% of your class wears orange shirts, 5/8 of your class wears blue shirts, 0.15625 of your class wears white shirts, and the rest of your class wears gold shirts. Order the portions of shirts of each color from least to greatest.
Answer:
pee
Step-by-step explanation:
Answer:
the answer is 67.56
Step-by-step explanation:
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $9 per pack, while hamburgers cost $6 per pack with taxes
included. Jerry can spend a maximum of $100 on the food.
Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?
Answer: 9x+6y ≤10
Step-by-step explanation:
Let x= number of packs of hot dogs .
y =number of packs of hamburger.
Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)
i.e. Total expenditure =9x+6y ( in $)
Jerry can spend a maximum of $100 on the food.
So, Total expenditure ≤ $100
i.e. 9x+6y ≤10 [Required inequality]
The inequality that represents this situation:9x+6y ≤10
Integrate [tex]e^{4x}\sqrt{1+e^{2x} } dx[/tex] please show work so i can learn
Answer:
the picture is attachedand sorry I can't explain you much about it1. The sum of six times a number, and 1, is equal to five times
the number. Find the number.
Answer:
-1
Step-by-step explanation:
To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:
"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number
"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x
Put it all together and we have
6x + 1 = 5x
Now we can solve our equation.
First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:
6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1
Next, we will subtract 5x from both sides:
6x - 5x = 5x - 5x - 1, giving us x = -1
-1 is the number
hope this helps
Answer:
x=-1
Step-by-step explanation:
6 x + 1 = 5 x
6 x - 5 x + 1 = 5 x - 5x
x +1 =0
x+1-1=-1
x=-1
Solve the problem by entering and solving an equation.
What is the temperature in degrees Fahrenheit of a freezer kept at -30°C?
What is the temperature in
degrees Fahrenheit.hat is the equation (___)= (___) (x- _) and what is the temperature in degrees Fahrenheit
Answer: -26.60
Step-by-step explanation:
Heres -30 degrees as faherenheit
Answer:
-22
Step-by-step explanation:
−30 =
5
9
(x − 32)
Solve the equation.
9
5
(−30) =
9
5
(
5
9
(x − 32)) Multiply both sides by
9
5
.
−54 = x − 32
+32 + 32 Add 32 to both sides.
−22 = x
The temperature is −22 degrees Fahrenheit.
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.
