Answer:
Step-by-step explanation:
Use law of cosines
c² = a² + b² - 2abcosθ
cosθ = (c² - a² - b²) / -2ab
c = length of AC = √(8 - 5)² + (4 - (-5))² = √90
b = length of AB = √(8 - 6)² + (4 - 3)² = √5
a = length of BC = √(6 - 5)² + (3 - (-5))² = √65
cosθ = (√90² - √65² - √5²) / -2√65√5
cosθ = 20 / -36.05551...
cosθ = - 0.5547001
θ = 123.69°
in digging a well, crew records the location of the bottom of the hole relative to ground
level. After 4 hours the hole is 164.4 feet deep. What integer represents the change in
location in feet after 1 hour?
solve this please this equation
Answer:
x = 80 degrees
Step-by-step explanation:
Draw a line through DG and name the intersection of that line and line AB as K.
By the same side interior angle theorem, GKC is 40 degrees.
By the sum of interior angles of triangle theorem, CGK is 180-70=110 degrees.
By supplementary angle theorem, x = 80 degrees.
1. What is the value of x that satisfies the equation? Must show all proper work/steps!
32^2x = 16^2x+8
Student's Work
Student's Answer
A. x = 4
B. x =- 4
C. x = 16
D. x = 1
Please explain all steps
[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]
Answer:
x = 16
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which equation represents this line in point-slope form?
A.
`(y + 4) = (4)/(3) (x + 3)`
B.
`(y −4) = -(4)/(3) (x +3)`
C.
`y= -(3)/(4)x`
D.
`4y− 3x = 0`
Answer:
The Answer is Option A or Option B
Step-by-step explanation:
First let's review what point slope form is.
[tex]y - y 1 = m(x - x1)[/tex]
To take a line and put it into point slope form you need to identify one of the points. In this case the point is either (-3, -4) or (-3, 4) but without a graph attached I cannot personally say which one it is.
You will also need to identify the slope of the line (m) based on the graph, so identify if the graph is ascending or descending. This alone can determine your answer
Again, there is no graph provided so it is up to you to determine if it is Option A or B.
I really hope this helps and you have a great rest of your day!
Note: I am not a professional educator so take my opinion carefully.
=)
Quantity is proportional of 40/8
1. Find the volume of the rectangular prism that has a height of 5 meters and the area of the base is 8m2.
Answer:
40m3
Step-by-step explanation:
Multiply the area x the height
Step-by-step explanation:
the volume of a prism or simply "box" is base area × height.
so, we have
8 × 5 = 40 m³
To indirectly measure the distance across a river, Khalil stands on one side of the river
and uses sight-lines to a landmark on the opposite bank. Khalil draws the diagram
below to show the lengths and angles that he measured. Find PR, the distance across
the river. Round your answer to the nearest foot.
N
RI
185 ft
150 ft
0
275 ft
(Diagram is not to scale.)
ft
Submit Answer
Answer:
Khalil uses the method of similar triangles to find the distance across the river, [tex]\overline{PR}[/tex]
The distance across the river is [tex]\underline{308.\overline 3 \ feet}[/tex]Reasons:
The distances between the formed the sight-lines are;
[tex]\overline{RB}[/tex] = 185 feet
[tex]\overline{OC}[/tex] = 275 feet
The distance between the point close to the river and the next point further from the river [tex]\overline{RO}[/tex] = 150 feet
In triangles ΔPRB and ΔPOC, we have;
∠PRE = ∠POC = 90° Given
∠PER ≅ ∠PCO By corresponding angle formed between two parallel lines and a common transversal.
∴ ΔPRE is similar to ΔPOC by Angle-Angle, AA, similarity theorem
Which gives;
[tex]\displaystyle \frac{\overline {PR}}{\overline {PO}} = \mathbf{\frac{\overline {RE}}{\overline {OC}}}[/tex]
Let x represent the distance across the river, we have;
[tex]\overline{PR}[/tex] = x
[tex]\overline{PO}[/tex] = 150 + x
Which gives;
[tex]\displaystyle \frac{x}{150 + x} = \frac{185}{275}[/tex]
275·x = 185 × (150 + x) = 27,750 + 185·x
275·x - 185·x = 27,750
90·x = 27,750
[tex]\displaystyle x = \frac{27,750}{90} = \mathbf{308.\overline 3}[/tex]
Therefore, the distance across the river, x = [tex]\mathbf{\overline{PR}}[/tex] = [tex]\underline{308.\overline 3 \ feet}[/tex]
Learn more about similar triangles here
https://brainly.com/question/10703692
What is the constant of proportionality in this table?
XY
48
5 10
6 12
10 20
Answer:
2
Ok lets start off with your 3 numbers
First do 10 / 5 = 2
Then do 12 / 6 = 2
After that do 20 / 10 = 2
now you see you that its all equivalent to 2 that's your answer!
A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?
3 of 8
The perimeter of an equilateral triangle is 105mm.
State the length of one of its sides.
Answer: 60
Step-by-step explanation:
in geometry all of the equilateral triangles sides are all 60 degrees.
what is 2*6 i need help
Its 12 for answer
Step-by-step explanation:
2×6=12
Solve for x: 3x – 8 = 13
SHOW WORK
Answer:
x = 7
Step-by-step explanation:
3x - 8 = 13,
1st, add 8 to the other side. Therefore 8 + 13 which is 21.
2nd, divide 3 from 3x and 3 from 21.
3rd you receive the answer which is 7
Help me please I don’t wanna fair math
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ?
A.
-4
B.
-1
C.
-2
D.
0
Answer:
The slope is -2.
Answer is C
Answer:
the answer is c. -2
Step-by-step explanation:
I need help plz.....
Answer:
(c) y^2/16 -(x -7)^2/9 = 1
Step-by-step explanation:
The center, focus, and vertex are on a vertical line, so the hyperbola opens in the direction of the y-axis. The y-term will have the positive coefficient.
The vertex-center distance in the y-direction is 4, so the denominator of the y-term is 4^2 = 16. The denominator of the x-term is 5^2 -16 = 9, where 5 is the center-focus distance.
The equation is ...
y^2/16 -(x -7)^2/9 = 1
Which comparison statements are true?
Answer:
Option B,option D and option F are the correct statements.
What is the solution to the equation −6z+1=−4−7z , given the replacement set {−5, −3, −1} ?
−5
−3
−1
I don't know.
the solution to the system of equation from the replacement set is -5
Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:
Given
−6z+1=−4−7z
Collect the like terms;
-6z + 7z = -4 - 1
Simplify the result
z = -4 -1
z= -5
Hence the solution to the system of the equation from the replacement set is -5
Learn more on equation here: https://brainly.com/question/2972832
Answer:
-5
Step-by-step explanation:
I took the quiz in k12
Market for flat-screen TVs:
Demand: Qd=2,600-5P
Supply: Qs=-1000 +10P
What would be the amount of shortage if a price ceiling is imposed at price of $205?
Your Answer: 1100
Answer
Answer:
525
Step-by-step explanation:
The demand at a price of 205 is ...
Qd = 2600 -5(205) = 2600 -1025 = 1575
The supply at a price of 205 is ...
Qs = -1000 +10(205) = 2050 -1000 = 1050
The demand exceeds the supply by ...
1575 -1050 = 525
The shortage is 525 units.
Can someone please explain step by step on how I get my answer of [30% of 15?]
Answer: 4.5
Step-by-step explanation:
30% is equal to 30/100, which is 0.3
If you times 0.3 by 15, you will get 30% of 15
Therefore the answer would be 0.3 x 15 = 4.5
9x2+8x(5x-4) simplify
Therefore, -14x + 40x² is the answer.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
alguien podria ayudarme?
Answer:
con que?
Step-by-step explanation:
The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)
Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)
Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Pls answer i need help
Answer:
Uggghhh
Step-by-step explanation:
I dont know
Answer:
Part A: Garcia mixed 4 cups of red with 1 cup of yellow.
Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.
Part C: $7
Hope this helps! :)
Step-by-step explanation:
answer pls having problem in this
[tex]\dfrac{\sqrt[3]{343}}{\sqrt[3]{-343}}=\dfrac{\sqrt[3]{343}}{-\sqrt[3]{343}}=-1[/tex]
5x+6 ?? please help 8th grade math work
Answer:
5x + 6 = 0
5x = - 6
x = - 6/5
-6/5 is the answer
Which of the following is the graph of y=x+3
Answer:ITS THE SECOND ONE
Step-by-step explanation:
expand and simplify 3(5x+1)+5(5x-4)
Answer:
40x-17
Step-by-step explanation:
The
is the distance across a circle, going through the center.
circumference
diameter
radius
area
The distance across a circle, going through the center is called Diameter.
I NEED HELP WITH #5 and #4
What is the value of f(x) = -3-x when x = -7?
A-10
) B -4
4
D 10
Answer:
#5. C 4
#4. J 0.3 meters
Step-by-step explanation:
No. 5
f(-7) = -3-(-7)
f(-7) = 4
C
No. 4
s = sqrt(0.09)
s = 0.3 meters
what is 10+10...........................
Answer:
that would be 20 lol
Step-by-step explanation:
Write a word phrase to represent the numerical expression below.
(7-3) ÷ 2
Answer:
the quantity seven minus three divided by two
Step-by-step explanation:
its math