Answer:
61.3°
Step-by-step explanation:
For angle x, 12 is the adjacent leg. 25 is the hypotenuse.
The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.
cos A = adj/hyp
cos x = 12/25
x = cos^-1 12/25
x = 61.3°
Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?
Answer: 9.5 hours
In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours
Step-by-step explanation:
Dana bought 144 pencils for $8.64.which equation could be used to determine the cost of each pencil,x?
A.144/8.64=x
B.x/144=8.64
C.8.64-x=144
D.144x=8.64
Answer:
144x=8.64
This way you can divide by 144 to find how much each individual pencil costs
What is 17 times 5 decided by 8
What is the area of 25mm circle
Step-by-step explanation:
490.87 square inches
3.4088 square feet
0.37876 square yards
3,166.9 square centimeters
0.31669 square meters
Graph the equation y=−x²−8x−15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
Plot these points
(-3,0)
(-5,0)
(-4,1)
(-2,-3)
(-6,-3)
Step-by-step explanation:
Let find the zeros of the equation.
We can factor this equation.
Factor out the -1.
[tex] - 1( {x}^{2} + 8x + 15)[/tex]
Factor using AC method
[tex] - 1(x + 3)(x + 5)[/tex]
Set all the terms equal to zero.
[tex]x + 3 = 0[/tex]
[tex]x + 5 = 0[/tex]
[tex]x = - 3[/tex]
[tex]x = - 5[/tex]
So our x intercepts are -3,0 and -5,0.
To find our vertex, apply the -b/2a.
[tex] \frac{8}{ - 2} = - 4[/tex]
Then
Substitute-4 for x.
[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]
So our vertex is at (-4,1).
Find some other points like -2 and -6.
To find -2, substitute-2 into the quadratic.
[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]
So -2,-3.
Since y=-4 is the axis of symmetry
-6,-3
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = −x² − 8x − 15
On simplifying the equation , we get
y = -1 ( x² + 8x + 15 )
On factorizing the equation , we get
y = -1 ( ( x + 5 ) ( x + 3 )
So , the 2 values for x is -5 , -3
So , the two points are ( -5 , 0 ) and ( -3 , 0 )
The vertex will be -b/2a
Substituting the values in the equation , we get
The vertex = -8/2 = -4
So , when x = -4
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 1 x -1 )
y = 1
So , the vertex is at the point ( 4 , 1 )
Now , when x = -1
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 4 x 2 )
y = -8
So , the point is ( -1 , -8 )
Now , when x = -2
y = -1 ( ( x + 5 ) ( x + 3 )
y = -1 ( 3 x 1 )
y = -3
So , the point is ( -2 , -3 )
Hence ,
The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is
( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ2
i need help please i will mark u brill
Step-by-step explanation:
25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●
Answer:
false
Step-by-step explanation:
rewrite this with 4.3 in place of y first
25 - (9 - 4.3) = 20.7
25 - (4.7) = 20.7
25 - 4.7 = 20.7
25 - 4.7 = 20.3
20.3 ≠ 20.7
false
hope this helped! good luck matey
-cheesetoasty
Whats 10 Divided by 4 with a Remainder?
Answer:
Step-by-step explanation:
10/4= 2 r 2
Answer: it’s 2.5, with a remainder it’s 2 r2
Step-by-step explanation:
There are a total of 66 students in the fourth grade at Northp Elementary school. Class A has five more students than Class B. Class C has 2 less students than class B. How- many students are in class A?
Answer:
12
Step-by-step explanation:
66 = A+B+C
A = 5+B
C= B-2
66= 5+B+B+B-2
66=3+3B
63=3B
B=7
A=5+B = 5+7 =12
Plz I need to know this
Answer:
triangular prism
Step-by-step explanation:
Can Someone Help Me. ? Please
Answer:
the first answer maybe?
Step-by-step explanation:
GIVING 30 POINTS!!!!!!!
Answer:
MEAN
Step-by-step explanation:
Have a Great Day!
Answer:
Not quite sure, but I think its the mean?
Find 50% of 84
Find 25% of 84
Find 75% of 84
Answer:
1. 42
2. 21
3. 63
Step-by-step explanation:
Hope this helps have a nice day!
Answer:
1) 42
2) 21
3) 63
Step-by-step explanation:
1)
50% = 0.5
84(0.5) = 42
2)
25% = 0.25
84(0.25) = 21
3)
75% = 0.75
84(0.75) = 63
Maria had 4 full cement blocks and one that was 5/9 the normal size if each full block weighed 3 8/9 pounds what is the weight of the blocks maria has
Answer:
17 and 58 over 81 pounds
Step-by-step explanation:
Mary y Frank estan explorando diferentes eventos y registrando la probabilidad de cada
evento. Estan usando diferentes situaciones cada vez que involucran canicas de
diferentes colores.
1) Maty y Frank tenen dos bolsas frente a ellos. La bolsa de Mary tiene 4 canicas azul
amanilo rojo y verde la bolsa de Frank tiene 3 canicas morado naranja y rosa Recogerar
de su borso al mismo tiempo. Cuál es la probabilidad de que Mary seleccione rojo de su bolso
Frank seleccione violeta de su bolso? Utilice un espacio de muestra para
Probabilidad; la probabilidad os Mary y Frank combinan las canicas en una bolsa para
Bacer un expemento en el que toman wacanica de una bolsa y lanzan una moneda. En la
Suste tabla 1 registrado o resultados de cada evento cuales a probabilidad
experimental de la moneda agen cruz en una canica amarilla Muestrato
seberat
Answer:
250000
Step-by-step explanain
i jut d this hquaestions
someone help me answer this
Answer:
51cm is the answer.
Step-by-step explanation:
a = ?
b = 68cm
c = 85cm
According to the Pythagoras theorem,
a² + b² = c²
a² + 68² = 85²
a² + 4624 = 7225
a² = 7225 - 4624
a² = 2601
a = 51cm
∴ the porch is 51cm tall.
what is the sum of the fraction
Answer:
d) 72/100
Step-by-step explanation:
the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !
Answer:
72/100
Step-by-step explanation:
There is 40 whole and 30 whole which equals 70. Plus 2 which is 72 so the answer is 72/100
the measure of one side of a square is x+5. which expression represent the area and perimeter of the square?
Answer:
A= x^2 P=4s
Step-by-step explanation:
Area of a square
Perimeter= 4s
Area= (the length of one side) ^2
What is the image point of (-9,-2) after the transformation T-2,-5
Answer:
(-11, -7)
Step-by-step explanation:
The original point is (-9,-2)
The transformation you have to do is (x-2 , y-5)
This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)
So, your final answer would be (-9-2,-2-5) which is (-11,-7)
PLEASE HELP AGAIN. IM TIMED
Answer:
B, 3 8/9
Step-by-step explanation:
It all comes down to equivalent fractions.
2 1/3 as an improper fraction is 7/3.
1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.
With that being said 7 x 3 = 21 resulting in 21/9.
14/9 + 21/9 = 35/9.
35/9 as a mixed fraction is 3 8/9.
Evaluate x^4 • x^-2 when x = 5
Answer:
x^4 • x^-2 = x^6
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
There is nothing attached
Step-by-step explanation:
Where is the picture?
Aaron has a pencil that is
foot long.
foot long. He has a pen that
is 0.7 foot long. Measured in
feet, how much longer is Aaron's
pencil than pen?
Answer: 0.1 ft longer
4/5 = 0.8
0.8 - 0.7 = 0.1
The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.
Answer:
669cm2
correct question
Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area
Step-by-step explanation:
The side length of the hexagon should be given which is 16 cm
To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle
Base = √((16)^2 - (13.9)^2
Base = √62.29
Base = 7.92cm
Since we have gotten the base
Diagonal - the base gives the top length of the trapezium.
32- 7.92- 7.92 = 16.16
The area of the hexagon gives the 2 times of the trapezium.
To find the area of the trapezium
= 1/2 * ( a+b)h
= 1/2* ( 32+ 16.16)* 13.9
= 24.04*13.9
Area of the trapezium = 334.71cm2
= 334.71 * 2
= 669.42cm2
Hope this helps
In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.
Answer:
10
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<ONP and <MNP
Step-by-step explanation:
I need help please ????!!!
jenny has $55 in her checking account, he bought 7 equally priced dvds and paid with a check. her new account balance is -$22. how much was each dvd?
Answer:
Jenny spent $11 on each dvd she bought.
Step-by-step explanation:
First and foremost, add 55 and 22 since her account balance is now at -$22 since that shows she spent even more.
55+22= 77
Next step divide 7 into 77 since that's how many dvds jenny bought.
77÷7= 11
The answer is $11. Jenny spent $11 on each dvd she bought.
Hope this helps
List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows
Answer:
{1,2,4,8,16,32,64}
Step-by-step explanation:
1×64=64
2×32=64
4×16=64
I need help if right I will mark you
Answer:
B
Step-by-step explanation:
Find the value of g(5) if g(x) = {-2x
Answer:
-10
Step-by-step explanation:
g(5) for g(x)= -2x
we put 5 to x
g(5) = -2.5
=-10