Answer: - radical 7 / 4
Step-by-step explanation:
draw a triangle in quadrant III
plug in correct terms
use Pythagorean theorem
to simplify down to find the opposite angle
b= rad 7
The sum of the squared lengths of the other two sides of a right triangle equals the square of the hypotenuse's length, which can be defined as follows:
Finding the sin θ value:
[tex]\to \cos \theta =-\frac{3}{4}[/tex]
[tex]\to \sin \theta =?[/tex]
[tex]\sin \theta = \frac{opposite}{hypotenuse}\\\\\cos \theta =\frac{hypotenuse}{adjacent}\\\\[/tex]
therefore
hypotenuse= -3
adjacent= 4
Using the Pythagorean theorem to find the opposite:
Hypotenuse²= Adjacent²+ Opposite²
[tex]-3^2= 4^2+x^2\\\\9=16+x^2\\\\x^2= -16+9\\\\x^2=-7\\\\x= -\sqrt{7}\\\\[/tex]
Therefore the value of sin θ [tex]= \frac{\sqrt{7}}{-3}= \frac{\sqrt{7}}{3}[/tex]
Find out more about the Pythagorean theorem here:
brainly.com/question/21332040
The chart below shows the number of sit-ups Annie did starting May 1. If this trend continues, how many sit-ups is Annie expected to do on May 11
Answer:
550 sit-ups
Step-by-step explanation:
Given
See attachment for chart
Required
Number of sit-ups on March 11
Represent the number of sit-ups with x and the days with y.
So:
[tex](x_1, y_1) = (1,50)[/tex] --- May 1
[tex](x_2, y_2) = (2,100)[/tex] --- May 2
First, we calculate the slope of the line chart.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{100 - 50}{2-1}[/tex]
[tex]m = \frac{50}{1}[/tex]
[tex]m = 50[/tex]
Next, we calculate the equation using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 50(x - 1) + 50[/tex]
[tex]y = 50x - 50 + 50[/tex]
[tex]y = 50x[/tex]
So, on May 11.
[tex]x= 11[/tex]
Substitute 11 for x
[tex]y = 50 * 11[/tex]
[tex]y = 550[/tex]
what is the answer to this.....
56kg X 3/8
Answer:
21 Kg
Step-by-step explanation:
Divide 56 Kg by 8 and multiply the answer by 3 , that is
56 Kg ÷ 8 = 7 Kg , then
3 × 7Kg = 21 Kg
A family eats at a restaurant. The bill was $54. The family leaves a tip and spends $60 total. How much was the tip as a perentage of the bill? (round to the nearest whole percent)
Answer:
11%
Step-by-step explanation:
60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.
The bill is $54.
6/54 = 0.1 recurring
0.1 × 100 = 11.1%
11% is the percentage.
I hope that helps!! ^-^
HELP HELP HELP PLZZZ right answers only and no links
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph represent the value of goods at which profit of of the company is zero → Break even of the company
Maximum value of the graph represents the maximum profit of the company at certain price of the goods.
Part B
Interval in which the function is increasing → x = 0 to x = $3
Profit of the company increases when price of the goods increase from 0 to 3.
Interval in which the function is decreasing → x = $3 to x = $6
Profit of the company decreases when the price of the goods increases from 3 to 6.
Part C
Average rate of change of the function from x = a and x = b,
= [tex]\frac{f(b)-f(a)}{b-a}[/tex]
By applying the same rule,
Average rate of change of the function between x = 1 and x = 3
= [tex]\frac{120-60}{3-1}[/tex]
= [tex]\frac{60}{2}[/tex]
= 30
Kiki bought a hot dog for $3.95 and an iced tea for $1.20. How much change will she receive from a $20 bill? To determine the answer first find the total cost. What was the cost for both items?
Answer:
She will receive $14.85
Step-by-step explanation:
$3.95+$1.20=$5.15
$20-5.15=$14.85
Therefore the answer is $14.85
Hope that Helps
a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation
I have attached an image showing the graph of the function.
Answer:
Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.
Step-by-step explanation:
First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.
Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.
This means that f(x) = 0 at x = 15 and at x = 70.
Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.
Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70
[tex] \sqrt{2x + 1 } = x - 1[/tex]
Can someone help me with this question please
Answer:
Step-by-step explanation:
y+ 20= x+ 15( Vertically opposite angles)
y+ 20- 15= x
x= y+ 5 __(1)
3x+ 5=4y- 15
Substituting (1)
3(y+5)+ 5= 4y-15
3y+15+5=4y- 15
y=15+20
y= 35
x= 40
I will give brainliest if you answer please
ok the answer is b
Step-by-step explanation:
The slope of the line that passes through the points (3,14) and (5,7) is
Answer
-[tex]\frac{7}{2\\}[/tex]
Step-by-step explanation:
Answer:
-7/2 or -3.5
Step-by-step explanation:
A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet wide parks in the space, then how many square feet of the parking space is not covered by the car
Answer:
123 cm²
Step-by-step explanation:
First of all, we need to know how exactly to find the area of a parallelogram.
Area of parallelogram= Base*Height
PARALLELOGRAM-
BASE= 17 ft
HEIGHT= 9ft
AREA= 17*9= 153 cm²
The area of parallelogram, will be considered as WHOLE AREA.
Now,
AREA OF MINI CAR-
length= 6 ft
Width= 5 ft
Area= 6*5= 30 ft ²
Square feet uncovere-
153 ft²- 30 ft²= 123 ft²
HOPE IT HELPS!
How do I find the answer to number 8?
Answer:
IT IS B ANSWER
2. Tiangle ABC has vertices A(3, 3), B(2,-4), and c(0, 0). This triangle is rotated 90
degrees counterelookwise. About vertex C. Draw the rotated shape and write the new
coordinates
10
PLEASE HELP!
A rectangular prism is 114 inch tall, 112 inch wide, and 2 inches long. How many unit cubes with side length of 14 inch does it take to fill the rectangular prism?
Answer: 9
Step-by-step explanation:
Given
The dimension of a rectangular prism is
[tex]L=2\ in[/tex]
[tex]W=112\ in.[/tex]
[tex]h=114\ in.[/tex]
Volume of Prism [tex]V=L\times W\times h[/tex]
[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]
The volume of the unit cube
[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]
Suppose there are n unit cubes to fit in a rectangular prism
[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]
Write and equation and find the value of x in the following problems
x =
degrees
Answer:
x = 5
Step-by-step explanation:
6x and 30 are vertically opposite angles and are congruent, then
6x = 30 ( divide both sides by 6 )
x = 5
Polygon B is a scaled copy of Polygon A using a scale factor of 5.
Polygon A’s area is what fraction of Polygon B’s area?
Answer:
1/5
Step-by-step explanation:
A: 1
B: 5
Scale is 1:5
Answer:
[tex]\frac{1}{25}[/tex]
Step-by-step explanation:
Given the scale factor is 5 , then
the scale factor of areas is 5² = 25
Then A is [tex]\frac{1}{25}[/tex] of B's area
The wages w (in £) June earns is the number of hours she works n multiplied by her hourly rate r (in £ per hour). Enter a formula for June's wages and enter the wage she would earn if she worked 17 hours at a rate of £7.30 per hour
Answer:
Wages she earn = £124.1
Step-by-step explanation:
Given:
Number of hour work in June = 17 hour
Rate = £7.30 per hour
Find:
Wages she earn
Computation:
Wages she earn = Number of hour work in June x Rate
Wages she earn = 17 x £7.30
Wages she earn = £124.1
Can someone help me pls?
standard deviation of the data. 221,228,218,319,224
Answer:
Population: 38.64. Sample: 43.20
a father is 24years older than his son. if the son is x years old, how old is the father and if the ratio of their ages is 5:2, what is the age of the son?
x+25/x=5/2
5x=2(x+24) 5x=2x+48
5x-2x=48
3x=48 3x/3=48/3
the age of son=16
father=24+x 24+16=40
F=40 s=16
40/16=5:2
Give the sum of 2m/y and m/y.
Answer:
=2m/y+m/y
= 2m+m/y
=3m/y
James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.
Answer:
$14.59
Step-by-step explanation:
commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.
To the nearest millimeter, a cell phone is 105 mm long and 66 mm wide. What is the ratio of the width to the length?
Answer:
22/35
Step-by-step explanation:
width/length = 66/105 = 22/35
Answer:
66/105
it says width to the length
not length to length
I'm in a rush but please take your time answering! I'm giving out 100 points and I'll give brainliest right away! Thank you!
Answer:
d
Step-by-step explanation:
Maria averaged 212 miles on the first 3 days of her trip.She averaged only 104 miles on the other six days of her trip what was the overall average number of the miles travel
Answer:
1260
Step-by-step explanation:
212x3=636
104x6=624
636+624=1260
Help? cant seem to figure this out. Appreciate it!
Answer:
327 cm²
Step-by-step explanation:
The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then
SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)
= (2 ×76) + (2 × 40) + (2 × 47.5)
= 152 + 80 + 95
= 327 cm²
Answer:
Step-by-step explanation:
SA = 2B + LA B = area of base LA = lateral area
B = area of the rectangle with length of 9.5 and width of 5
= 9.5(5) = 47.5
LA = perimeter of base times the height
= [2(9.5) + 2(5)] (8)
= (19 + 10)(8)
= 29(8)
= 232
SA = SA = 2B + LA = 2(47.5) + 232
= 95 + 232
= 327 sq cm
The length of a rectangular driveway is 3 times its width. If the length is 7 % yards, find
the length of the driveway and the area of the driveway.
Answer:
3 x 7 and 1/6 = 21 and 1/126
Step-by-step explanation:
your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.
The slope of the line in the graph tells us the ____ liters of the petrol is consumed for every mile.
Answer:
.16
Step-by-step explanation:
5 by 30 and you get your answer
ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(x^2+2)(5x+1)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.
Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Show your work it’s sublimation
Will give points
Answer: Chnager your profile pic
Step-by-step explanation:
Answer:
noooooo nittt
Step-by-step explanation:well urv gay