Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
what is π + e its very simple
Answer:
5.85987448
Step-by-step explanation:
Pie
Answer:
the answer to your question is 5.85987
In which group on the Periodic Table does the atom pictured belong?
A)
4
B)
6
16
D
14
Can you please help me?!!!
Answer:
2 2/3
Step-by-step explanation:
Answer:
-7 1/3
Step-by-step explanation:
I already learned how to do that
Miles has 10 red marbles, 3 blue marbles and 5 green marbles. He randomly chooses a marble out of a bag 150 times. Make a prediction of how many times Miles will pull a green marble
A Close to but not exactly 30
B Close to but not exactly 300
C Close to but not exactly 90
D Close to but not exactly 45
Answer:
D
Step-by-step explanation:
I need help I’m being timed
I really need help with this
I think its Igneous Rock but I'm not so sure...
THANKS
Answer:
That is igneous
Step-by-step explanation:
Solve-1 + 8 =
10 - 3a.
Answer:
a = 1
Step-by-step explanation:
Original Equation:
-1 + 8 = 10 - 3a
Add 1 to both sides
8 = 11 - 3a
Subtract 11 from both sides
-3 = -3a
Divide both sides by -3
a = 1
Hope this helps :)
Please consider Brainliest :)
Answer:
a = 1
Step-by-step explanation:
-1 + 8 = 10 - 3a
7 = 10 - 3a
-10 -10
-3 = -3a
---- -----
-3 -3
1 = a
Write the sentence as an inequality.
A number (x) plus 10 is less than 34.
Answer:
X + 10 < 34
Step-by-step explanation:
X is the variable and variable represent a number in equations. Then this < is considered to be the less than symbol. The rest should be easy when you get the understanding.
After a 5% discount, a car is on sale for $11,400. What was the price of the car before the discount?
Answer:
$11,970 is the price of the car before the discount
Step-by-step explanation:
Write two hundred thousand and fifty seven in figures
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop. How did you determine the pair(s) (x, y) that Leah could work to meet the given conditions in item 15?
Answer:
Babysitting= 13.3 hours
Icecream shop= 6.6 hours
Step-by-step explanation:
Step one:
let the hours for babysitting be x
and the hours for icecream shop be y
we are told that Leah would like to earn $120 monthly
She babysits for $5 per hour and
works at an ice cream shop for $8 per hour
5x+8y=120---------------1
Leah cannot work more than a total of 20 hours per month
x+y≤20-------------2
The system of equation for the situation is
5x+8y=120
x+y≤20
x=20-y
put x=20-y in eqn 1
5(20-y)+8y=120
100-5y+8y=120
3y=120-100
3y=20
y=20/3
y=6.6 hours
put y=6.6 in eqn 2
x+6.6≤20
x≤20-6.6
x=13.3hours
2 angles whose non shared sides are opposite rays are defined as
How would knowing the type of symmetry help you graph a function?
A graph is said to be symmetric about the y -axis if whenever (a,b) is on the graph then so is (−a,b) . Here is a sketch of a graph that is symmetric about the y -axis. A graph is said to be symmetric about the origin if whenever (a,b) is on the graph then so is (−a,−b) .
hope this helped u <3
Answer: How do you describe the symmetry?
If f (-x), then the graph of f(x) is symmetrical with respect to. A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.
Step-by-step explanation: hope I help you with your problems
A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).
Answer:
A. [tex] PR = 80.6 yd [/tex]
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] PR = \sqrt{(80 - 10)^2 + (10 - 50)^2} [/tex]
[tex] PR = \sqrt{(70)^2 + (-40)^2} [/tex]
[tex] PR = \sqrt{4,900 + 1,600} [/tex]
[tex] PR = \sqrt{6,500} [/tex]
[tex] PR = 80.6 yd [/tex] (nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
A ladder is 8 meters long. It leans against a wall with one end on the ground, 6 meters from the wall. The other end reaches a windowsill. Calculate the height of the window sill above the ground.
Answer:
[tex]\sqrt{28[/tex]
Step-by-step explanation:
a^2 + b^2 = c^2.
if you draw out the triangle, you can substitute numbers into an equation.
6^2 + b^2 = 8^2
36 + b^2 = 64
b^2 = 64 - 36
b^2 = 28
b = [tex]\sqrt{28}[/tex]
Jay draws a hen on graph paper using the scale shown below. The hen has a length of 16 units in the drawing. The scale is 2 units (or squares on the graph paper) = 6 cm. What is the height of the actual hen in centimeters?
Answer:
Step-by-step explanation:
the answer is 3 or 8
because if you are looking for 6 then its 3
if you are looking for 16 then its 8
sorry if I did not help much but I hope I did : ))))))))))
I alway get this wrong idk how pls help
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the total earned is d
you earn $4 after each hour (x), so you multiply
xoxo, your highness...Help me please and thank you! try your best i will mark brainlist who is first and accurate.
Answer:
the first
Step-by-step explanation:
if it's perpendicular so is the gradient so y= -5/6 + 12
*I'm so sorry if I'm wrong
Find the slope and the y-intercept of the graph of y=−45x−2.
Answer:
Slope: -45
Y-intercept: -2
Step-by-step explanation:
The expression is written in slope-intercept form or y=mx+b.
mx is the slope and b is the slope intercept
X + Y = 110
Y = 2X + 20
Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?
Answer:
[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
Step-by-step explanation:
b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]
Area of one triangle
[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]
There are 4 colored triangles so total area of the triangles is
[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]
The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
will give brainliest (9th grade geometry)
If the scale factor of Figure A to Figure B is 7:2, find the perimeter of Figure A.
Answer:
122.5 units
Step-by-step explanation:
The proportion would be between the perimeters and the given ratio:
7/2 = p/p
Where P is the perimeter of the bigger figure and p is the perimeter of the smaller figure.
Remember that the perimeter is the sum of all sides, using all given values and solving for P, we have
7/2=P/9+5+9+12
7/2=P/35
7(35)/2=P
P=245/2=122.5
Therefore, the perimeter of Figure A is 122.5 units.
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist's estimate? Round the percent to the nearest hundredth if necessary.
Answer:
The percent error of the cyclist's estimate is 5.63%
Step-by-step explanation:
Percentages
The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.
The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:
Error = 80 miles - 75.5 miles = 4.5 miles
To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:
Error% = 4.5 / 80 * 100 = 5.625%
Rounding to the nearest hundredth:
The percent error of the cyclist's estimate is 5.63%
A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x
Answer:
Option (4)
Step-by-step explanation:
Area of a rectangle = Length × width
If the dimensions of the given rectangle is doubled,
Area of the new rectangle = 2(Length) × 2(width)
= 4(Length × width)
= 4(x)(x - 2)
= 4[x² - 2x]
= 4x² - 8x
Therefore, Option (4) will be the correct option.
what is y - 7 = -12 ?
Answer: Y= -5
Step-by-step explanation: First, Add 7 to both sides to get the y alone because that's your goal here.
Then your all good
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario. What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
Answer:
Step-by-step explanation:
sup
can someone helpp!!! thanks
Answer:
he is going 10 mph and the equation is 1x = 10y
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year.
Complete question :
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year. What is her sales tax?
Answer:
$48.24
Step-by-step explanation:
Given that:
Sales price = 670
Discount = 10% off
Sales tax = 8%
Discounted price = (1 - 0.1) * 670
Discounted price = 0.9 * 670 = $603
Hence, purchase price = $603
Hence, sales tax = 8% of purchase price
8% of $603
0.08 * 603 = $48.24
Tatum exercised for 55 minutes. 10% of that
time was spent warming up. How many
minutes did Tatum spend warming up?
Answer:
5.5 minutes
Step-by-step explanation:
55/10=5.5
5.5 of 55 is 20%
Or 5 minutes and 30 seconds
HELP PLEASE!
While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and the hole is located at (9,8). The point where the ball hits the wall is (7,0). Write an equation for the path of the ball and then determine if you will make your putt.
Answer:
Step 1:
Hit=9,8
Ball=5,4
R=7,0(This will be the hit point)
Step 2:
(Ball)B'=7+(7-5)4=(9,4)
BR: y-4=(0-4)/(7-5)(x-5)→→→→→→→→→→→→y=-2x+14
RB': y-4=(4-0)/(9-7)(x-9)→→→→→→→→→→→→y=2x-14
The ball will not fell into the hole by it's path.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
We will bet an absolute graph here of the path of the ball.
Starting point is where the ball is located is (5, 4).
The ball hits the wall at (7, 0)
Let's find the equation of the line through these points.
It is of the form y mx + c, where m is slope and c is y intercept .
m = (0 - 4) / (7 - 5) = -2
⇒ y = -2x + c
Substitute (7, 0) in the above equation,
0 = (-2 × 7) + c
⇒ c = 14
The equation of the line is y = -2x + 14.
Since the graph is absolute, the return path of the ball from the wall must have same slope with opposite sign since the line is upwards.
Equation of the line is of the form,
y = 2x + d
Substitute (7, 0) in the above equation,
0 = (2 × 7) + d
⇒d = -14
Equation is y = 2x - 14
Substitute (9, 8) in the equation to check whether the ball will make the putt.
2x - 14 = (2 × 9) - 14 = 18 - 14 = 4 ≠ 8
Hence the ball does not fall into the hole.
To learn more about Slope, click on the link :
https://brainly.com/question/3605446
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