Answer:
68.8
Step-by-step explanation:
delta math
Answer:
68.8
Step-by-step explanation:
Solution Method 1:
‾
Solution Method 1:
Use altered formula
�
2
=
�
2
+
�
2
−
2
�
�
cos
�
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
Solve for
cos
�
:
Solve for cosA:
cos
�
=
�
2
+
�
2
−
�
2
2
�
�
cosA=
2bc
b
2
+c
2
−a
2
Since we are finding
∠
�
,
Since we are finding ∠F,
plug in
3.1
for side
�
:
plug in 3.1 for side a:
Opposit the angle we want
cos
�
=
2
2
+
3.
2
2
−
3.
1
2
2
(
2
)
(
3.2
)
cosF=
2(2)(3.2)
2
2
+3.2
2
−3.1
2
Plug in
cos
�
=
4.63
12.8
cosF=
12.8
4.63
Evaluate numerator and denominator
cos
�
=
0.3617188
cosF=0.3617188
Divide (no rounding yet)
�
=
cos
−
1
(
0.3617188
)
≈
68.7942
≈
68.
8
∘
F=cos
−1
(0.3617188)≈68.7942≈68.8
∘
Solution Method 2:
‾
Solution Method 2:
Use original formula
�
2
=
�
2
+
�
2
−
2
�
�
cos
�
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
Since we are finding
∠
�
,
Since we are finding ∠F,
plug in
3.1
for side
�
:
plug in 3.1 for side a:
Opposit the angle we want
3.
1
2
=
2
2
+
3.
2
2
−
2
(
2
)
(
3.2
)
cos
�
3.1
2
=2
2
+3.2
2
−2(2)(3.2)cosF
Plug in values. Side "a" is opposite the wanted angle.
9.61
=
4
+
10.24
−
12.8
cos
�
9.61=4+10.24−12.8cosF
Square sides.
9.61
=
9.61=
−
14.24
−
12.8
cos
�
−14.24−12.8cosF
Add.
−
14.24
=
−14.24=
−
14.24
−14.24
−
4.63
=
−4.63=
−
12.8
cos
�
−12.8cosF
−
4.63
−
12.8
=
cos
�
−12.8
−4.63
=cosF
Divide to solve for cos(A).
�
=
cos
−
1
(
−
4.63
−
12.8
)
≈
68.794
≈
68.
8
∘
F=cos
−1
(
−12.8
−4.63
)≈68.794≈68.8
∘
Use inverse cosine to find the angle then round.
The blueprint for a chicken coop have a scale of 1 inch to 5 feet. If the area of the blueprint is 15 square inches, what is the area of the actual chicken coop
Answer:
75 feet²
Step-by-step explanation:
A scale drawing is the reduced image of another image
If the scale is 1 inch to 5 feet, it means that 1 inch presents 5 feet
If the area of the blueprint = 15 inches
It means the actual chicken coop would be 5 feet times larger than the blueprint
Actual area of the chicken coop = 15 inches² x 5 = 75 feet²
On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?
Answer:
120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00
now we still know, that
a
=
508
−
c
so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083
now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083
60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508
−
c
so
a
=
388
37-(3×(5+2)-4)
please help
Answer: 20
i just got it from the calculator
Please help!! Thank You I'll give you BRIANLEIST!! :D ^ ^
Answer:
False
Step-by-step explanation:
SO SO SO SO SO SO SO sry if this is wrong!!!! i'm 99.9 persecnt sure its right!!!! :):)::)
Which expression is equivalent to 63?
а
06x3
О 6х6х6
я
6х6х6х6
O3х3х3х3х3х3
A blueprint of a house shows a wall that is 5 inches long. If the blueprint is drawn to a scale of 1:60, what is the actual length of the wall in the house?
Answer:
The wall is 300 inches or 25 feet
Find 26 2/3 % of 90.
Answer:
I said 24. I hope this helps and works
what is the measure of Y
Answer:
62
Step-by-step explanation:
60 + 58 + y = 180
118 + y = 180
y = 180 - 118
y = 62
Answer the photo below thanks
Answer:
A . 496 ft²
Step-by-step explanation:
Area = ½ × base × height
= ½ × 62 × 16
=496 ft²
What is the slope of a line parallel to the line x-3y=4
The power 92 is equivalent to 81. What is the value of 9-2?
-81
-9
81
Answer:
Its 1/81
Step-by-step explanation:
I am not sure why it is not in your choices but I think that's the answer!
Scientific notation of 141700000
Answer:
1.47 * 10^8Step-by-step explanation:
Given the value 141700000, we are to express in scientific notation
The standard form is expressed as A * 10^n
A is any integer between 1 and 10
n is also any integer
141700000.= 1.47 * 10^8
Note that the decimal point was shifted back 8 times, main reason the power is 8
Write a real word problem that involves dividing a decimal by a whole number
which three statements are true about the line segment CB
it's the radius of the circle
it is the circumference of the circle
it is a cord
it is 6cm long
it is diameter of the circle
it is 7cm long
it is 1.75cm long
Answer:
it is a cord
it is diameter of the circle
it is 7cm long
Step-by-step explanation:
Hope it helps you in your learning process.
Pleaseeee help ASAP rocky!!!
Answer:E
Step-by-step explanation:
PLEASE ANSWER COMPLETE QUESTION. WILL MARK BRAINLIEST FOR BEST ANSWER. QUESTION IS ATTACHED.
9514 1404 393
Explanation:
A linear system of two equations in two variables will be a dependent system. This means both equations reduce to the same equation. The equations will be different only until they are reduced to the same form.
Here is one possible set of equations. The first is in slope-intercept form. The second is in point-slope form.
y = 3x +1y -7 = 3(x -2)If we subtract the first equation from the second, we get ...
(y -7) -(y) = (3(x -2)) -(3x +1)
-7 = 3x -6 -3x -1 . . . . . eliminates y
-7 = -7 . . . . . . . . . true for all values of x
There are an infinite number of solutions.
3y + 5x = 26
-2y – 5x
ан
-16
У —
Answer:
15
Step-by-step explanation:
The product of six and the sum of a number x and nine equals two times x subtracted from four.
Answer:
[tex]x=-15.5[/tex]
Step-by-step explanation:
Write down what the problem is saying;
[tex]6(x+9)=2(x-4)[/tex]
Distribute;
[tex]6(x+9)=2(x-4)\\\\(6)(x)+(9)(6)=(2)(x)+(2)(-4)\\[/tex]
Simplify,
[tex]6x + 54 = 2x - 8[/tex]
Inverse operations,
[tex]6x + 54 = 2x - 8\\-2x\\\\4x + 54 = -8\\-54\\\\4x = - 62\\/4\\\\x =-15.5[/tex]
Two cylinders,a and b each started with different amounts of water.The graph shows how the height of the water changed as the volume of water increased each cylinder.Which cylinder has the larger radius explain how you know.
Answer:
B
Step-by-step explanation:
My teacher just told me
what kind of sequence is this. 25, 36, 49, 64,...
Answer:
hdhdheeheiwhwvehdhevevwhw
25
What is the slope of the line with equation Y -3 equals -1/2(x - 2)?
A. -2
B.-1/2
C. 1/2
D. 2
which of the following geometric figures is the plane shape of a cube?
A. circle
B. rectangle
C. square
D. triangle
Answer:
ok I will help you with it
A 200 kg sailboat experiences an unbalanced force of 895 N pushing it forward, what is the sailboat's acceleration?
Answer:
4.5m/s^2
Step-by-step explanation:
Given data
Mass= 200kg
Force= 895N
Required
the acceleration a
We know that
F=ma
a= F/m
substitute
a= 895/200
a= 4.5 m/s^2
Hence the accelaration is 4.5m/s^2
What is the volume of a cube whose surface area is 294 in2?
216 in
343 in
512 in
729 in
Answer:
V=343in³
Step-by-step explanation:
A=6a2
V=a
3V=6A3/2
36=6·2943/2
36=343in³
What is 9/4 in decimal form
Answer:
2.25Explanation:
2.25 is a decimal and 225/100 or 225% is the percentage for 9/4.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope I helped!!!
GL :)
target sells pencils at 5 for $1.25.
how many pencils could you but for $22?
Answer:
i think .... 88 pencils
Step-by-step explanation:
$1.25 = 5 pencils
1 pencil = $1.25/5 = $0.25/pencil
pencils you could buy for $22 :
$22/$0.25 = 88 pencils
hope it helps <3
65 mph equals how many inches per hour 
Answer: 63360 inches per hour.
Step-by-step explanation:
Help!!!!!!!!! can someone give me the correct answer please.
I will mark you brainliest for the correct answer.
This is a test!!!
Please help!!!!!!!!!
please will mark BRAINLIEST need help with this
Answer:
Step-by-step explanation:
So for this one you need to find how much text messeages you make in a day and subtract it from 19.
The second one confused me though.
a machine makes 6 article in an hour how many hours does it takes to makes 48 articles
Answer:
8 hours
Step-by-step explanation:
6x = 48
x = 8