Answer:
unit vector = -0.891i + 0.454j
Step-by-step explanation:
Given that;
magnitude of unit vector =
angle of 153° degrees from the x axis, with a positive y component
{ second quadrant }
so, x and y components of the vector are;
x component = 1 × cos(153°) = - 0.891
y component = 1 × sin(153°) = 0.454
⇒ -0.891i + 0.454j
Therefore, unit vector = -0.891i + 0.454j
Find the size of angle XYZ
Answer:
66.4°
Step-by-step explanation:
From the question given above, the following data were obtained:
Adjacent = 6 cm
Hypothenus = 15 cm
Angle Y =?
Angle Y can be obtained by using the cosine ratio as illustrated below:
Cos Y = Adjacent / Hypothenus
Cos Y = 6/15
Cos Y = 0.4
Take the inverse of Cos
Y = Cos¯¹ 0.4
Y = 66.4°
Therefore, angle XYZ is 66.4°
- في الشكل المجاور برهن أن
m<E <m<CAD
B
D A
E
-
Answer:
B
Step-by-step explanation:
What is the slope of the line?
Answer:
the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Step-by-step explanation:
You didn't put a picture, so I didn't know if you meant what it means, or from a line?
Solve the Equation.
y = 5 = 125
If Y = 5 and the X is = 1 then Y = 125 is X = 25
2x + 3y =5
4x - y = 3
Translate the following
Half a number decrease by twelve
Hi!
So, to "half" a number, you multiply it by 1/2 or 0.5
"A number" is a number which we don't know the value of, so we could use a variable. Any letter you want is fine, but let's use x
"Decrease by 12" This simply means to subtract 12, so - 12
So, now we have:
1/2x - 12
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
Please include step by step explanation bc I've been having trouble with this
The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is
Answer:
[tex]r=\frac{5}{9}(y-32)[/tex]
Step-by-step explanation:
The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.
The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.
Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:
[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]
Solve the inequality for the missing variable
24 -1t
1/5
Answer:
−t+24
Step-by-step explanation:
Describe how to plot the point (-1, -2)
Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?
I need help please.
Answer:
A because there isnt a mode, hope this helps\
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores. The following information is given: Nut Type Minimum Amt Maximum Amt Cost per pound Almond 10% 100% $2.75 Peanut 0% 50% $0.55 Walnut 20% 100% $1.70 Cashew 0% 40% $1.20 The can costs $0.10. Find the proportion of these nuts by weight to maximize the profit of the nut manufacturer. Use those proportions to select the answer closest to the profit that can be made per can if it is sold to the retail store at $3.00 a can. Group of answer choices $1.65 $1.35 $2.76 $1.77
Answer:
Nut
Step-by-step explanation:
The equation of a circle is x2 +y2 =81 what is the diameter of the circle
Answer:
pretty sure it's 9.
Step-by-step explanation:
square root of 81 is 9. 3 is its radius.
The two triangles above are similar. What is the value of x ?
A) 5
B) 7.5
C) 8
D) 13 1/5
Answer:
7.5
Step-by-step explanation:
[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]
Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,
6/x = 8/10
Solving the ratio for x,
x = (6×10)/8
x = 60/8
x = 7.5 units
Hence, in the two similar triangles, the value of x is 7.5 units.
Learn more about Similar Triangles here:
https://brainly.com/question/25882965
#SPJ2
Consider this solution to a problem.
Problem: -4(6-y)+4=-4
Step 1: -24-4y+4=-4
Step 2: -20-4y=-4
Step 3: -4y = 16
Step 4: y=-4
In the first response box, enter the number of the step where the mistake is made.
Step:
In the second response box, enter the correct solution to the problem.
Answer:
1. The mistake was the sign that was put negative instead of positive.
2. y = 4
Step-by-step explanation:
In the first response box, enter the number of the step where the mistake is made.
Step:
The mistake is on step 1: This is the distributive property, however it was distrubuted wrong since the signs were used wrong.
-4(6-y)+4=-4 does not equal -24-4y+4=-4
The reason is because -4 x -y is not equal to -4y because negative x negative = positive. So, it's equal to +4y.
In the second response box, enter the correct solution to the problem.
Problem: -4(6-y)+4=-4
Step 1: -24 + 4y + 4 = -4 (Distributive Property Of Equality)
Step 2: -20 + 4y = -4 (Combine Like Terms)
Step 3: 4y = 16 (Addition Property Of Equality)
Step 4: y = 4 (Division Property Of Equality)
Can you find the mass of the angles?
b=48
c=137
enjoy :) ....
What is the exponential form of log5 15,625 = 6?
Answer:
I'm currently having the same lesson.
Exponential form:
5⁶ = 15,625
The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.
The number after the equal sign is the exponent.
Check the image for better clarification.
Step-by-step explanation:
Answer: [tex]5^{6} =15625[/tex]
Step-by-step explanation:
On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snohomish River below. The swimmers stepped off the bridge, and I estimated that they hit the water 1.5 s later. (a) How high was the bridge
Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high
how many 2/3 quarts portions are in 7 1/3 quarts of soup ?
Answer:
11 1/4
Step-by-step explanation:
ANSWER= 11 1/4 is your answer
Step-by-step explanation:
help pls? If mF= 109*, mQ=122*, mR=44, find mJ
Answer:
∠J=85°
Step-by-step explanation:
Theory to know when answering this question:
1. The sum of the angles in a quadrilateral (shape with four sides) is 360°
2. Similar shapes have the same angles
Point 1 tells us that ∠P+∠Q+∠S+∠R=360
Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.
∴∠F+∠Q+∠J+∠R=360
109+122+∠J+44=360
∠J=360-275=85°
If you invested $250 at 16% interest, how much would you have after 18 years?
Answer:
4,000
Step-by-step explanation:
identify the independent variable for this function
Explanation:
Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.
The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.
what is 12.8 rounded to the nearest hundred
Answer:
13 will the answer of this qn
Help plz I’m stuck on this
The Sanchez family is planning a trip to an amusement
park. The park has two ticket plans.
Plan A offers a weekend pass for $12 plus $0.50 per ride.
Plan B is $1.25 for each ride.
Let x represent the number of rides each person will ride
and y represent the cost per person, in dollars. Which of
these systems of equations could be used to choose a ticket plan?
A. y=0.50x +12
y=1.25x
B. y=12x +0.50
y=x +1.25
C. y=0.50x
y=1.25x
D. y= x +12
y= x +1.25
How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze
Answer:
67 gallons.
Step-by-step explanation:
To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:
0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20
0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34
0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55
0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60
Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.
Q1.
Write 1.74 x 10^-4 as an ordinary number?
Q2.
Write 358.41 x 10^5 in a standard form
Q3.
Write 4 670 000 in a standard form
Answer:
0.000174
3.5841 x 10^7
4.67 x 10^6
Step-by-step explanation:
1.74 x 10^-4 as an ordinary number
As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power
Hence 1.74 x 10^-4 as an ordinary number
= 0.000174
358.41 x 10^5 in a standard form
In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence
358.41 x 10^5 in a standard form
= 3.5841 x 10^5+2
= 3.5841 x 10^7
4 670 000 in a standard form
As done above, only one digit will be before the decimal
4 670 000 in a standard form
= 4.67 x 10^6
Write an algebraic expression for the phrase. 12 minus m
A. m/12 B. 12-m C. 12m D. m-12
Answer:
it's b
Step-by-step explanation:
literally twelve minus m
Answer:
B
Step-by-step explanation:
12 minus m is, 12 - m