Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-3) = 7
difference of y-coordinates = 0-(-2) = 2
length of MN = √(7²+2²) = √53 ≅ 7.28 units
tanθ = 2/7
θ = arctan(2/7) ≅ 15.9°
heading = 74.1° from north
The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
How to determine the magnitude and direction?We have:
M(-3, -2) and N(4, 0)
Calculate the magnitude using
[tex]MN =\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]
This gives
[tex]MN =\sqrt{(4 + 3)^2 +(0 + 2)^2[/tex]
Evaluate
MN = 7.28
The direction is calculated as:
[tex]\theta = 90 - \tan^{-1}(\frac{y_2 - y_1}{x_2 -x_1})[/tex]
This gives
[tex]\theta = 90 -\tan^{-1}(\frac{0+2}{4+3})[/tex]
[tex]\theta =90 - \tan^{-1}(\frac27)[/tex]
Take the arc tan
[tex]\theta = 90 - 15.9\°[/tex]
Evaluate
[tex]\theta = 74.1\°[/tex]
Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
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Pleaseee help me I’ll give brainliest find the sum of 4x^2-7 and 6x^2-5
Answer:
10x² - 12
Step-by-step explanation:
4x² - 7 + 6x² - 5
10x² - 12
PLS HELP ME AND MAKE SURE TO SHOW HOW U GOT UR ANSWER
Answer:A.112
each piece of pizza has 28 pieces of pepporoni
so you would do 4*28 to get 112
Step-by-step explanation:
Help me out plz................................
Answer:
A.
Step-by-step explanation:
We have the expression [tex]\sqrt{x+4} -3=2[/tex] and are asked which is the first step to solve it.
When doing equations, you always want to isolate x, now since x is stuck in a square root, we need to first get rid of the numbers outside the root. So -3, we would need to add three to both sides first. This step crosses out all other answers and leave us with A.
what is 067÷ 32.16?
Answer:
2.08
Step-by-step explanation:
Answer:
2.0833333333333
Step-by-step explanation:
use calculator
Find the rate of change of h(x) =-x² + 4x+2 from x=3 to x=7
Answer:
-6
Steps:
solve for x=3
(3,5)
solve for X=7
(7,-19)
then find the slope using
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
and it will be = -6
A decimal rounded to the nearest hundredth is 7.01. this decimal is less than 7.01.
The Answer Is : 4.09
I need help with this question
Answer:
The letter is m and is usually to the left of x
Step-by-step explanation:
i think the equation is y=mx+b
FIFTY POINTS AND BRAINLIEST TO WHOEVER IS CORRECT. Match the ecosystem element in column 1 to the cultural characteristic it most likely affects in column 2.
Answer:
hot weather-scant clothing
scarce food-conservation and hospitality
many lakes-use boats for trade
tall tree's with fruit-climbing skills
Step-by-step explanation:
The nature and characteristics of a specific ecosystem often has a telling effect on the behavior, attitude and culture of the residents. The correct matching principles are :
Tall trees with fruits - - - - > climbing skills Many lakes - - - - > Use boats for trade Hot Weather - - - - - > Scant clothing Scarce food - - - - - > Conservation and hospitality Areas with tall fruit bearing trees will often result in young residents having to climb and pluck from it. Areas surrounded by water may require both for navigation and trading. Hot Weather condition will often require the adornment of light wears. Scarce resources usually good for conservation purpose, as it serves a good source of income generation.Learn more : https://brainly.com/question/13979184?referrer=searchResults
The graph of y=e^x is transformed as shown in the graph below. Which equation represents the transformed function?
Y= e^-3
y=e* +3
y=e*+3
y=x +3+3
Answer:
its B y=e^x+3
Step-by-step explanation:
Mark me as brainliest!
Two cars begin driving at different times. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B is farther from the start than Car A.
Answer:
This one.
Step-by-step explanation:
A house painter uses 6 gallons of paint per day. How many gallons does the painter use in a 5 day workweek?
(please help me i will give brainliest)
Answer:
30
Step-by-step explanation:
6 x 5= 30
six gallons per day times 5 work days
Write an explicit formula for an, the nth term of the sequence 5,10,15
Answer: =0 + 5n
Step-by-step explanation:
Answer:
An= 0 + 5n
Step-by-step explanation:
in the formula C= prn, p stands for
A. percent
B. period
C. price per item
D. promotion
Answer:
C.
Step-by-step explanation:
Two rectangles are similar. The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm. What is its length?
Answer:
Its length is 37.5 cm.
Step-by-step explanation:
If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So
The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.
So
[tex]\frac{15}{10} = \frac{l}{25}[/tex]
[tex]10l = 25*15[/tex]
Simplifying by 10.
[tex]l = 2.5*15 = 37.5[/tex]
Its length is 37.5 cm.
Help with both? PLEASE lol this is a review and we’ve been in class for 40 mins I’ve got nothing
Answer:
Step-by-step explanation:
[tex]2) y^{\frac{3}{2}}=y^{3*\frac{1}{2}}\\\\=(y^{3}}^{\frac{1}{2}}\\\\=\sqrt{y^{3}}[/tex]
b
[tex]3)a^{\frac{2}{3}}=a^{2*\frac{1}{3}}\\\\=(a^{2})^{\frac{1}{3}}\\\\=\sqrt[3]{a^{2}}[/tex]
c
The product of a number and -3 increased by 8 is no less than 35
The required inequality, of a product of a number and -3 increased by 8 is no less than 35 is -3x + 8 ≥ 35.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Let the number be x,
According to the question,
The product of a number and -3 increased by 8 is no less than 35.
So,
-3x + 8 ≥ 35
Thus, the required inequality, of a product of a number, and -3 increased by 8 is no less than 35 is -3x + 8 ≥ 35.
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4. What is the experimental probability of flipping a head after
twenty flips of the coin?
180% is equivalent to what decimal value
Answer:
1.80
Step-by-step explanation:
1%=0.01
10%=0.10
100%=1.00
Find the value of X.
A. 9
B. 18
C. 4
D. 14
Answer:
C is the answer
Step-by-step explanation:
10x=180-140
so,x=40÷10=4answer
Quizziz help 9th grade please thx
pensé un número y lo dividí entre 3 luego sume 15 y el resultado fue 23
Answer:
x: 3 = 23 -15
x = 8 x 3
x = 24
Step-by-step explanation:
Monica's meal came to $17.00. A 7% sales tax is applied. How much does she pay for tax?
Answer:
$1.19
Step-by-step explanation:
Please help!
Factor x2+9x−22
Answer:
(x-2)(x+11)
Step-by-step explanation:
Write the problem as mathematical expression.
x^2+9x-22
Consider the form x^2+bx+c. Find a pair of integers whose products is c and whose sum is b. In this case, whose product is -22 and whose sum is 9.
-2,11
Write the factored form using these integers.
(x-2)(x+11)
Answer:
Step-by-step explanation:
(x -2) (x+11)
Jamie is making bread with rye flour and wheat flour, using a total of 3 cups of flour. If she
has 1 cups of wheat flour, which equation represents how many cups of rye flour, r, are needed
to make the bread?
Answer:
3:1
Step-by-step explanation:
&%6#46+4636$7$-&&%$44
Jackie used 4 apples and 16
strawberries to make a fruit pie.
What was the ratio of the number of
apples to the number of strawberries
in the fruit pie?
Answer:
The ratio of Apples to the number of strawbarries is 4:16 or 4/16
Step-by-step explanation:
5 in.
6 in.
5
in.
10 in.
18 in.
How do I find the volume of it
Answer:
545
Step-by-step explanation:
10 POINTS
please help lol
Answer:
Explanation below:
Step-by-step explanation:
To solve this problem you have to look at the three measurements (base x length x height), which are 7in, 3in, and 5in. For the top of the rectangular prism, the surface area is 21in (7in x 3in) and since the bottom is the same, the bottom is also 21in. Now that you have the top and bottom, let's look at the sides. The surface area for the long-sides is 35in (7in x 5in) and since both sides are the same, they are both 35. The surface area for the ends of the rectangular prism is 15in (5in x 3in) and since they are both the same, they are both 15in. Now that you have figured out what measurement goes with what, add all them up. (21in +21in) = 42in | (35in +35in) = 70in | (15in + 15in) = 30in
42in + (70in + 30in)
42in + 100in
The surface area for the entire shape is 142 inches.
who can help in guiding me in any mathematicss question because I'm not good at that at all
Answer:
i can help
Step-by-step explanation:
(12.02 HC)
A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new
meteor?
Length of Meteors
x x
X X X
Х
х
х
x x
Х
x x
Measurement in inches
O 1 inch
100
inches
o
CON
Inches
3 inches
Answer:
1 3/8 inches
Step-by-step explanation:
Total Length after adding 2 meteors of equal length = 16 inches
Let the length of the added meteor = x
To obtain the total length, we sum of each meteror multiplied by its frequency is obtained ;
(2/8)(1)+(3/8)(3)+(4/8)(2)+(6/8)(2)+(10/8)(1)+(11/8)(2)+(14/8)(2)+(15/8)(1) + 2x = 16
13.25 + 2x = 16
13.25 + 2x = 16
2x = 16 - 13.25
2x = 2.75
x = 1.375
1.375 = 1 3/8
Please help!!
Here is an equilateral triangle.
Which of these statements are true and which are false?
a)Angle B = 60
b)Length AB = Length AC
C)Angle C = 45
d)AB is parallel to AC
Picture above
Answer:
The answer is C and D
Explanation:
The angle of an equilateral triangle will always be 60 degrees and all the sides will be equal so that leaves us with D. A triangle can't have any parallel sides or it won't be a triangle
Answer:
a. true
b. true
c. false
d. false
