Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]
Step-by-step explanation:
Given
x and y is in the fourth quadrant
[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]
we know,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]
using [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]
[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]
[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]
Joe and Josh each want to buy a video game. Joe has $14 and saves $10 a
week. Josh has $26 and $7 a week. In how many weeks will they have the
same amount?
pls help and give a step by step explanation
Answer:
Number of week they have same amount = 4 week
Step-by-step explanation:
Given:
Amount Joe have = $14
Joe's saving per week = $10
Amount Josh have = $26
Josh saving per week = $7
Find:
Number of week they have same amount
Assume;
Number of week they have same amount = a
So,
(14 + 10a) = (26 + 7a)
3a = 12
a = 4
So,
Number of week they have same amount = 4 week
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.
Answer:
largest ∡ = 81°
Step-by-step explanation:
44 + 3x - 11 + 4x - 7 = 180
7x + 26 = 180
7x = 154
x = 22
4(22)-7 = 81
ramon has 6.75 kg coffee. he wants 0.25 kg bags. how many bags does he need?
Answer:
Ramon would need 27 bags
Step-by-step explanation:
This is because if you divide 6.75 by 0.25 you would get 27
Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.
To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.
Total weight of coffee = 6.75 kg
Weight of each bag = 0.25 kg
Number of bags = Total weight of coffee / Weight of each bag
Number of bags = 6.75 kg / 0.25 kg
Calculating this division, we find:
Number of bags = 27
Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.
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A triangular prism is 17 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sides of the triangle are each 10 yards. What is the surface area of the triangular prism?
Answer:
640 yard²
Step-by-step explanation:
From the question,
The surface are of a triangular prism is given as
A = bh+2ls+lb.................. Equation 1
Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle
Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.
Substitute these values into equation 1
A = [(12×8)+(2×17×10)+(17×12)]
A = 96+340+204
A = 640 Yard²
In reading class, Phillip read 38 of a book. Alicia read 58 of the same book.
Tell how you know who read more.
Answer:
phillip
Step-by-step explanation:
because phillip read 38 books and alicia read 1 book 58 time and the reason i picked phillip cause he read different books with more pages and alicia read the same book that probably had a little bit of pages
sorry if it is wrong
The ratio of men to women working for a company is 5 to 8 . If there are 273 employees total, how many women work for the company?
Answer:
110 women, see below for explanation. (hope this helps)
Step-by-step explanation:
3 to 5
3x + 5x = 176
8x = 176
x = 176/8
x = 22
3*22 = 66 men
5*22 = 110 women
What value of x satisfies this equation, x2−12=13?
Answer:x=5 and x=-5
Step-by-step explanation:
Find x.
multiple choice
Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. Which triangle is similar to ΔJKL? ΔJKM ΔMKL ΔKML ΔLJK
Answer:
kml
Step-by-step explanation:
got it right
Answer:
triangle KML or answer C is corrreeeccttt
Step-by-step explanation:
edgee
3) 12 - 24 =
4) 810 - 23 =
5) 23 - 14 =
What is the volume of this cylinder?
Step-by-step explanation:
V=pi r^2h
V=3.14x3^2x7
=197.82
Answer:
V ≈ 198 m³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 6, then radius r = 3 and h = 7 , then
V = 3.14 × 3² × 7 = 3.14 × 63 ≈ 198 m³ ( to the nearest whole number )
PLEASE HELP FAST
If the area is 1,180 square inches, find the correct values for r, width
and length from the list in your right.
the formula for the area of a rectangle is (length × width) in this case (length × width) = 42
if the length is 7... then what # times 7 = 42? The width has to 6.
to find the perimeter... (2 × length ) + (2 × width) = Perimeter
OR
length + length + width + width = perimeter
7 + 7 + 6 + 6 = ?
Th answer: 26 inches
What is five and three fourths plus one and seven tenths. Answer choices: seven and nine twentieths, seven and one twentieth, six and a half, or six and eleven twentieths.
Answer:
5
Step-by-step explanation:
PLS HELP FOR 60 POINTSS PLSS IF U HELP ILL SEND 30 MORE POINTSS
There are 3 times as many students participating in the hiking trip this year than last year. There are 42 students on the trip this year.
1.Write an equation that represents the number of students that came on the hiking trip last year
2.How many students attended the hiking trip last year?
Answer:
1. 42/x
2. 14 students
Step-by-step explanation:
1. 42 divided by x
x=students on trip last year
2. 42 divided by 3
42/3=14 students this year
In January of 2011, the U.S. saw an increase in gas prices. Imagine the average price per gallon was $3.12 with a standard deviation of $0.27, according to a source such as AAA (Automobile Association of America) that tracks gas prices. You are on your long mid-semester break, so you and some friends decide to go on a 3000-mile road trip. You record the price of gas each of the 10 times you fill up your tank, and you compute an average price per gallon of $3.16. What percent of other sample means, based on 10 gas stations, would be greater than the one you observed
Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
someone please please help me!
Answer:
B os correct because its multiplied itself 5 times
A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster? HELP I NEED ANSWERS QUICK
Answer:
8
Step-by-step explanation:
The formula for area is length x width or length x height, height and width mean the same thing in some problems such as this one. To find the height, you need to divide the area by the width. 38 divided by 4 3/4 = 8.
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
A worker work for just 3 days in a one month and his 1 month salary is 4380 what is the 3 days pay ?
Answer:
$505.385
Step-by-step explanation:
Given that:
Worker's one month salary is 4380
The number of working days in the month is not given ; However the average number of working days in a month usually range from 22 to about 26 days
Lets assume the number of working days for the firm in question is 26 days
Daily salary will be calculated as :
Monthly salary / number of working days
4380 / 26
= 168.46153
3 days salary :
168.46153 * 3
= $505.385
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 1/2x + 1
Step-by-step explanation:
The slope is the change in y over the change in x. The line goes down one and two left, making the slope 1/2.
The line crosses the y axis at positive 1 and that is the y-intercept.
Plot and connect the points A (-4, -5), B (-2, -3), C (4, -3), D (6, -2), E (6, 6), F (-1, 6), G (-4, 2), and find the length of EF.What is it in units
Answer:
The length EF is 7 units.
Step-by-step explanation:
The length between the points E and F, using the plot below, is:
[tex]\bar{EF}=7\: u[/tex]
Therefore the length EF is 7 units.
I hope it helps you!
What is the next number in this sequence? 2, 16, 128, 1024, ___________
Explain what you did to get your answer.
Can someone give me answers?
Answer:
Maybe if you give a better quality photo that isn't sideways! :D
Step-by-step explanation:
Answer:
81.6
Step-by-step explanation:
C = 3.14(2x13)
C = 3.14 x 26
C = 81.64
Rounded to the nearest tenth = 81.6 Inches
The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 140 centimeters in 35 seconds. What is the time in seconds the toy robot moves when the total distance is 70 centimeters?
Answer:
17.5 seconds
Step-by-step explanation:
140 cm/35 sec (find unit rate)
4 cm/ 1 second
[tex]\frac{4}{1} = \frac{70}{x}[/tex] (divide 70 by 4)
70/4=17.5
[tex]\frac{4}{1} = \frac{70}{17.5}[/tex]
A model car is made to a scale of 1:50 (model: real). If the model has a length of 10 cm, calculate the length of the real car (answer in meters).
Answer:
5 m
Step-by-step explanation:
A model car is made to a scale of 1:50 (model: real).
If the model has a length of 10 cm, calculate the length of the real car (answer in meters).
We have a scale of :
model: real = 1:50
The model has a length of 10cm
Hence:
1 cm = 50 cm
10 cm = x cm
Cross Multiply
x cm × 1cm = 10 cm × 50 cm
x cm = 10 cm × 50 cm/1cm
x cm = 500 cm
The length of the real car is 500cm
Converting the length of the real car to meters
100cm = 1 m
500 cm = x m
Cross Multiply
100cm × x m = 500 cm × 1 m
x m = 500 cm × 1 m/100 cm
x m = 5 m
The Length of the real car in meters is 5m
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
Step-by-step explanation:
step 1: I am going to convert the measurements
into decimals
8/5=1.6
2/5=.4
step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour
1.6=.4
1=?
1*.4=.4/1.6=.25
step 3: I will convert .25 into a fraction
.25=1/4
for every 1/4 pound pumpkin, I will use 1 pound of flour
which is why
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
A sidewalk is 15cm high, 30m wide and 60m long. The volume of concrete that was used to pour the sidewalk is
A. 270 m3
B. 2700 cm3
C. 27 m3
D. 270000 cm3
The volume of concrete that was used to pour the sidewalk is 270 cubic meters and this can be determined by using the formula of volume.
Given :
A sidewalk is 15cm high, 30m wide, and 60m long.
The following steps can be used in order to determine the volume of concrete that was used to pour the sidewalk:
Step 1 - The formula of volume can be used in order to determine the volume of concrete that was used to pour the sidewalk.
Step 2 - The formula of volume is given below:
[tex]\rm V = L\times W \times H[/tex]
where L is the length, W is the width, and H is the height.
Step 3 - Now, substitute the values of the known terms in the above formula.
[tex]\rm V = 60\times 30 \times \dfrac{15}{100}[/tex]
Step 4 - Simplify the above expression.
V = 270 cubic meters
Therefore, the correct option is A).
For more information, refer to the link given below:
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PLEASE HELP IMMEDIATELY!! WILL GIVE BRAINILIESTT
Answer:
First box, fourth box, sixth box
Step-by-step explanation:
Positive in division means either both numbers are positive or negative
someone help for brainliest
Answer:
b and e
Step-by-step explanation:
Who can help me out please???
Answer:
10
Step-by-step explanation:
sqrt (8^2+6^2) = 10
hope it helps
heyyy please help FACTORISE (x-x)
Answer:
The answer is death :/
LOL JK JK JK
The answer is 0
Brainiliest tho?