Answer:
426.07 square units
Step-by-step explanation:
Recall that for a triangle whose angles are A,B,C with corresponding sides a, b, c, the area G of the triangle may be computed as
G = 1/2 ab Sin C
or
G = 1/2 bc Sin A
or
G = 1/2 ac Sin B
Going by this, recall that the sum of angles in a triangle is 180 hence
94 + 26 + K = 180
120 + K = 180
Subtract 120 from both sides
K = 180 - 120
K = 60 degrees
Given that JK = 24 and JL = 41
G = 1/2 * 24 * 41 Sin 60
= 426.07 square units
In 1995, there were 80 birds in a park. The population increased by 5% each year. The number of birds in the park in 1997 was
Answer:
88.2
80(1+0.05)* 2
Step-by-step explanation:
The number of birds in the park in 1997 is given by the equation A = 88.2 birds
What is exponential growth factor?
The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the number of birds in 1997 be represented as A
Now , the equation will be
The number of birds in 1995 x₀ = 80 birds
The time n = 1997 - 1995 = 2 years
The percentage of increase r = 5 %
The number of birds A is calculated by exponential growth factor ,
Substituting the values in the equation , we get
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( 2 ) = 80 ( 1 + ( 5/100 ) )²
On simplifying the equation , we get
x ( 2 ) = 80 ( 1 + 0.05 )²
x ( 2 ) = 80 ( 1.05 )²
x ( 2 ) = 80 x 1.1025
x ( 2 ) = 88.2 birds
Therefore , the value of A is 88 birds
Hence , the number of birds is 88 birds
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
#SPJ5
Can some one answer quickly please
Answer:
the answer is A -1/3 x
Step-by-step explanation:
hope this helps :)
please answer will give brainliest
Answer:
45.
A=a+b/2
2/h=7+11/2
2·5=45
Answer the attached question. 10 points are yours
PLS HELPP I NEED TO KNOW
What is the original price of the tennis racquet?
A drawing of a tennis racquet with a tag for sale labeled “30 percent off. Now 21 dollars.”
The original price is $
The original price of the racket is $30
Markup and discount priceLet the original price be x
If there is 30% off the original price, then the new price will be 0.7x
If the price of tennis racquet is now $21, hence;
0.7x = 21
Divide both sides by 0.7
0.7x/0.7 = 21/0.7
x = 21/0.7
x = $30
Hence the original price of the racket is $30
Learn more on discount here: https://brainly.com/question/19104371
what is $78 discounted 12%
Answer:
$78 discount off 12% you would get $68.64. That is $9.36 off
Which point is located in Quadrant IV?
Answer:
C is the answer
Step-by-step explanation:
Answer:
C. Quadrant IV = (8,-6)
Step-by-step explanation:
Q I = + +
Q II = - +
Q III = - -
Q IV = + -
(-8, 6) = II
(-8, -6) = III
(8, -6) = IV
(8, 6) = I
Quadrant IV = (8,-6)
How do I simplify this complex rational expression?
Answer:
[tex]\frac{23x+3}{20(x+1)}[/tex]
Step-by-step explanation:
Separate the fractions into a more readable format.
Factorise the denominators of all the fractions where possible. For [tex]x^2-1[/tex] apply DOTS ==> Difference of two squares*
Simplify the fractions.
I wrote out my working so I hope that helps :>>
*Difference of two squares is a method of factorising the sum of two squares, where one of them is negative. [tex]a^2-b^2 = (a-b)(a+b)[/tex]
el resultado de la conversación de 350km/h a m/s es :
Answer:
97.2m/s
Step-by-step explanation:
1 km = 1,000 m
1 h = 3,600s
so
350km/h = 350*1000/3600
= 97.222 m/s
please give me brainlist if it is helpful for you
What property is demonstrated in the equation below? 4(5 + 3) = (5 + 34 associative commutative o distributive zero product
Answer:
Distributive Property
Step-by-step explanation:
4*(5+3) basically equals 4*5 + 4*3 which is 20 + 12 which is 32.
Answer:
distributive
Step-by-step explanation:
i took this test
Please help! how do i know if it’s sin, cos, or tan if they’ve already given me all three numbers ?
Answer:
Here you can use any!
sin x = 64/80
cos x = 48/80
tan x = 64/48
Alex dumped out his piggy bank and there were only
nickels, dimes, and quarters.
There were three times as many dimes as nickels, and 40
more quarters than nickels.
If the total amount of money was $17.20, how many of each
type of coin were there?
"There are
nickels,
dimes, and
quarters.
Answer:
12 nickels
36 dimes
52 quarters
Step-by-step explanation:
Let x = no. of nickels
3x = no. of dimes
x + 40 = no. of quarters
5x = value of the nickels since each nickel is 5 cents
10(3x) = 30x = value of the dimes since each dime is 10 cents
25(x + 40) = 25x + 1000 = value of the quarters since each quarter is 25 cents
Now, 5x + 30x + 25x + 1000 = 1720 ($17.20 = 1720 cents)
60x + 1000 = 1720
60x = 720
x = 12 nickels
3x = 36 dimes
x + 40 = 52 quarters
Check: 12 nickels are worth $.60
36 dimes are worth $3.60
52 quarters are worth $13
.60 + 3.60 + 13 = 17.20
Determine whether the relation is a function. Explain why or why not.
{(2, 5), (3, –5), (4, 5), (5, –5)}
A.
Yes; no value in the domain corresponds to more than one value of the range.
B.
No; the domain value 5 corresponds to two range values, 2 and 3.
C.
Yes; multiple domain values correspond to the same range value.
Answer:
A. Yes; no value in the domain corresponds to more than one value of the range.
Step-by-step explanation:
There is no domain value that corresponds to more than one range value.
If you graph the ordered pairs on a coordinate plane, you cannot draw a vertical line that passes through more than one point.
Please help!! Will give brainliest!!!! Photo above
Answer:
c is your awnser
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
In this picture, the angle, 30 degrees, is a part of the whole. we are looking for the value of X.
First we can take off 45 degrees, since the angle is lower than 30 degrees
Now we can take off 15 degrees, since the angle is too small.
And we can also take off 10 degrees since its way too small.
2x mean 2 times X.
The overall measurement is a 90 degree angle, indicated by the box.
90-30= 60
30 * 2 = 60.
The correct answer is 30.
~Hope this helps~
(0,-9)after a rotation of 180 counterclockwise about the origin
The coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).
What is rotation?Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.
The given coordinate is (0, -9).
Rotation rule:
Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise or counterclockwise direction, produces a point that has the coordinates (-x,-y).
Now, (0, -9) → (0, -(-9))
(0, -9) → (0, 9)
Therefore, the coordinate after a rotation of 180° counterclockwise about the origin is (0, 9).
Learn more about the rotation here:
brainly.com/question/1571997.
#SPJ2
Solve for the variable: 15/2.1 = 12/c
Answer:
answer is C=1.68
im sorry if im incorrect
mark as brainliest if i helped you :)
Step-by-step explanation:
What is the measure of angle BAD?
Answer: 73
Step-by-step explanation:
Both sides are exactly the same
the points (-1,r) and (2,1) lie on a line with slope -4 find the missing coordinate
Answer:
(-1,2)
follow me
follow me
A baby elephant weighs approximately 2.5 x 10 pounds. If an adult elephant can weigh up to 56 times more than a newborn elephant, how much could an adult elephant weigh?
Answer:
1400
Step-by-step explanation:
Answer:
1400 I hope its correct
A high school reports that its students' SAT scores were down by 8% in one year. The next year, however, the test scores rose by 18%. The high school principal announces, "Overall, test scores have improved by 10% over the past two years."
Answer:
B
1.09 is the improvement in scores
Step-by-step explanation:
Here is the remaining part of the question : Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The statement is true because 18 - 10 = 8 and the percentage improvement is given by the difference in the percentages of the increase and decrease. B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)
let a = scores
If scores decreased by 8% last year, scores that year was (100 - 8%) = 92% = 0.92
scores last year = 0.92a
If scores increased by 18%. It means the score this year is 0.92a x 1.18 = 1.086a
Improvement in scores 1.09
Juanita has a 20% of the money that she needs to buy a new bicycle if she has a $52 how much money does the bicycle cost?
Answer:
Step-by-step explanation:
if Juanita has 52 dollars and this sum represents 20%
the bicycle costs 52*5=260 dollars
(2x-14) = (3x-6) how do I solve this
Step-by-step explanation:
there you go that is how you solve
Answer:
x=-8
Step-by-step explanation:
Given: 2x-14=3x-6
+14 +14
-----------
2x=3x+8
-3x -3x
--------------
-1x=8
--- ---
-1 -1
-------------
x= -8
Hope this makes sense
Does (0,5) make the equation y = 7x true?
Answer:
I beleive
Ordered pairs are in the form (x , y). So, my x-coordinate is 0 and my y-coordinate is 0. ... Since, -7 times 0 is equal to 0, I get 0 = 0. This is a true statement, and so (0, 0) is a solution to the equation If its incorrect I'm sorry
Step-by-step explanation:
guys help please bro
Answer:
132 square meters
Step-by-step explanation:
You can split the shape into two figures. They both will be parellelograms.
Area of parallelogram: A=bh
11 *6=66
66 *2= 132
Answer: 132 square meters
What is the intercept from these two lines.
Please explain.
Answer:
Detailed answer in explanation.
Step-by-step explanation:
When you substitute x as 0 you'll get the y-intercept and when you do the same for y you'll get the x-intercept.
[tex]y=\frac{1}{4} x-3[/tex]
x-intercept(s): (12,0)
y-intercept(s): (0,−3)
[tex]y=-\frac{3}{2} x+4[/tex]
x-intercept(s): (8/3,0)
y-intercept(s): (0,4)
Now that we got these values you can plot them into the graph and start graphing the two lines. The lines will intersect at (4,-2) as shown in the graph attached.
80 times 30 plus 60 equals
Answer:
2460
Step-by-step explanation:
Hope this helps :)
Answer:
the awnser is 2460 have a nice day
Step-by-step explanation:
express each of the following percentages as a fraction.28% 158%
Answer:
28% = 7/25 and 158% = 79/50
Step-by-step explanation:
To convert a percent into a fraction, you have to put the value of the percent over 100.
For 28%: 28/100
28 and 100 are both divisible by 4, so the fraction reduces to 7/25.
For 158%: 158/100
158 and 100 are both divisible by 2, so the fraction reduces to 79/50. If you teacher doesn't want you do use improper fractions, then 79/50 can further be reduced and becomes [tex]1\frac{29}{50}[/tex].
Hope this helped!
Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16
Answer:
(-4, -8)
Step-by-step explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓
If y=5 then what is 7+2y2 . I needed help
Answer:
57
Step-by-step explanation:
Remember when an exponent is given and says to solve for any variable, you will plug the number in the variable ( the number given for the variable ) and first solve for exponent. Then solve the rest. Hope this helps, thank you !!