Alexander builds a triangular frame with side lengths of 3 ft and 5 ft and a 120∘ angle between them. Which can be the length of the unknown side of the frame?
Answer:
i got 7ft for the answer
Step-by-step explanation:
The length of the unknown side of the triangular frame is 7 ft.
What is a triangle?"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."
From the drawn triangle
According to the law of cosines
[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]
⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]
⇒ [tex]x^{2} = 9+25+15[/tex]
⇒ [tex]x^{2} = 49[/tex]
⇒ [tex]x = \sqrt{49}[/tex]
⇒ [tex]x = 7[/tex]
Hence, the length of the unknown side of the triangular frame is 7 ft.
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△KJL~△WJX. Identify the coordinates of X and the scale factor.
PLZ help
Answer:
X(−64/3, 0); 8/3
Step-by-step explanation:
To find the coordinates of the point X, first find the scale factor for a dilation of two similar triangles in the coordinate plane
To determine the scale factor, set up a ratio of the lengths of two corresponding sides of the triangles.
Use the Distance Formula d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ to find the length of the sides JK and JW.
Point J is the origin. Thus, the coordinates of the point J are (0,0).
It is given in the figure that the coordinates of the point K are (0,6).
To find JK, substitute x1=0, x2=0, y1=0, and y2=6 into the distance formula.
JK=(0−0)2+(6−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=62‾‾√=6
The length of JK is 6.
It is given in the figure that the coordinates of the point W are (0,16).
To find JW, substitute x1=0, x2=0, y1=0, and y2=16 into the distance formula.
JW=(0−0)2+(16−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=162‾‾‾‾√=16
The length of JW is 16.
To determine the scale factor, set up a ratio of the lengths of two corresponding sides, JW and JK, of the triangles.
JWJK=166=83
The scale factor is 83.
To find the coordinates of the point X multiply the coordinates of the point L by the scale factor.
It is given in the figure that the coordinates of the point L are (−8,0).
X(−8⋅83,0⋅83)=X(−643,0)
The coordinates of the point X are (−643,0).
The figure shows the same triangles K J L and W J X as in the beginning of the task. Point X is at minus 64 thirds, zero.
Therefore, the coordinates of X is (−643,0) and the scale factor is 83.
A 1/2 kilogram of flour is packed equally into 10 bags How much flour is in each bag?
Answer:
1/20 kilogram of flour is in each bag.
Step-by-step explanation:
(1/2)/10=(1/2)(1/10)=1/20
(-2+4i) - (8+2i) if i is imaginary
Answer:
-10 + 2i
Yes, it is imaginary
Step-by-step explanation:
[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]
10= 3(3) + b what is the slope and y-intercept
Answer:
slope: 3
y-intercept: 1
slope-intercept form equation: y = 3x + 1
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)
all you have to do now is solve for b.
first, multiply 3(3).
10 = 3(3) + b
10 = 9 + b
then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.
10 - 9 = b
1 = b aka b = 1
and now you have your b value!
so your slope is 3 and your y-intercept is 1.
i hope this helps! have a nice rest of your day <3
Simplify 7.7w - 4.6w please answer hurry!
Answer:
3.1w
Step-by-step explanation:
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start.
Answer:
Where the information
Step-by-step explanation:
Jessie filled a cone-shaped birthday hat with candy. if the hat had a radius of 9cm and a height of 10cm what is the volume in cubic units of candy she filled the hat with? assume that pi =3.14 and round to the nearest tenth
Answer:
Volume of a cone = 847.8 cm³
Step-by-step explanation:
Volume of a cone = 1/3hπr²
π = 3.14
radius, r = 9 cm
height, h = 10 cm
Volume of a cone = 1/3hπr²
= 1/3 * 10 * 3.14 * 9²
= (1 * 10 * 3.14 * 81) / 3
= 2543.4 / 3
= 847.8
Volume of a cone = 847.8 cm³
1. What is the formula for Pythagorean Theorem
2. What does the A represent
3. What does the B represent
4. What does the C represent
5. Pythagorean Theorem can be used with what SPECIFIC shape?
6. If A= 4, and B = 5, what is length of the hypotenuse? Show all work
Answer:
The formula is a^2 + b^2 = c^2
Step-by-step explanation:
A and B are legs and C is the hypothunisis.
The theorem is used for triangles.
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
sqr(41) = sqr(c)^2
c = 6.403124237
Please help STUCK !! Which of the following points lie on the graph of the function,
Answer: a. ( 1, 6 )
Step-by-step explanation:
If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line
Solve the problem
30 - 2w +2n
3
w%3D-h
Mathematical
practice
-
Now that you have created the system of equations, it is time to solve the
problem
3. What are the dimensions (width and height) of the frame? Round your answer
to the nearest tenth of an inch.
Type answer here
Answer:
idr
Step-by-step explanation:
Find the greatest common factor of 21 and 10.
Answer:
GCF of 10 and 21 is 1.2.
Step-by-step explanation:
I hope it's helpful!
PLZ HELP WILL MARK BRANLIEST
What events in Hitler Youth have impacted individuals or ideas?
Answer:
Hitler Youth, founded in 1926, young children were taught how to use weapons and how to kill. This could have had a psychological effect on their developing minds. They were also taught the ideals and values of Hitler. They were taught that the ideal way to be was cis, straight, Christian, white, blonde, and blue eyes. Some children didn't possess these qualities negatively affecting the way they view themselves and those who did possess these traits dramatically looked down on others. The purpose of the Hitler Youth was to train children to be prepared to give their lives for their country.
Step-by-step explanation:
PLEASE HELP!!!!
We need to know total number of miles and
we need to know the distance (in miles) between san diego to albuquerque, albuquerque to omaha, omaha to chicago (it’s labeled springfield on the map below but it’s chicago), then chicago (which is again labeled as springfield on the map below) to nashville
The scale is 1 cm to 204
THE INFORMATION, MAP, INSTRUCTIONS, SCALE, AND QUESTIONS ARE BELOW!
Answer:
total mile=(3.75+4.25+2.25+2)×204mile=12.25×204=2499mile
9514 1404 393
Answer:
765 mi867 mi459 mi408 mitotal: 2499 miStep-by-step explanation:
The estimated mileage is found by multiplying the map scale by the map distance:
#1: (204 mi/cm)(3.75 cm) = 765 mi
The last of your attachments correctly shows the mileage for each of the distances you have identified on the map.
(Please note that the map is actually showing Springfield, IL. The location of Chicago is at the south end of Lake Michigan, not in the middle of IL. Perhaps the grid incorrectly lists Chicago instead of Springfield.)
__
Of course, the total distance is the sum of the distances of the legs of the trip:
765 +867 +459 +408 = 2499 . . . . miles total distance
Can anyone help me with this question please
I’ll mark you as a brainliest.
Answer:
D
Step-by-step explanation:
The other options don't correspond to the figure above.
mr. knox's rent during the past year amounted to $2700 per year. His rent was 20% of his income. find his income fo the last year.
Answer:
$13,500
Step-by-step explanation:
20% is 1/5, so to figure out his income we multiply 2700*5=13500
Answer:
$13,500
Step-by-step explanation:
Fraction: 20/100 = 2700/x
Find x
20x=270000
Divide 20 by both sides
X=13,500
I need help on these questions.
Answer:
1. the third one
2. the third one
3. the fourth one
5. the second one
Step-by-step explanation:
Answer:
1)7x+1
2)10a-(a-5)
3)Twice the sum of two different numbers
4)2x/x-1
Hope I helped!!!
what does this equal 12*5*6*100*67*82*200*419*638*35*134
Answer:
4.959395e+19
Step-by-step explanation:
12*5*6*100*67*82*200*419*638*35*134 = 4.959394955x10^19
you can always use a calculator for these large calculations
12. Find the values of x, y, and z.
(1 point)
Answer:
b. x = 80, y = 100, z = 63
Step-by-step explanation:
The probability of choosing a 5 and then a 6 is ___
Answer:
The probability of choosing a 5 and then a 6 is likely.
-> Find the sum.
2
4 3
+1
12
12
Answer:
11455
Step-by-step explanation:
you add it up and that is what you will get
Mr. P mowed 2/7 of his lawn. His son mowed 1/4 of it who mowed the most how much of the lawn still need to be mowed. Solve using the RDW strategy
plzzz help meh I WILL MARK 50 points!!!!!!
Answer:
Step-by-step explanation:
1/3
Find the value of x that makes the quadrilateral a parallelogram
What is x?
To make it a parallelogram, the diagonals have to bisect each other (6x=3x+2)
Calculate and you will get x = 2/3
The value of x that makes the quadrilateral a parallelogram is 2/3.
What is a parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
We have a quadrilateral.
To show that the quadrilateral is a parallelogram:
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
That means,
6x = 3x + 2
3x = 2
x = 2/3
Therefore, the value of x is 2/3.
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What is another name for the height of a prism or a pyramid?
A. Altitude
B. Length
C. Base
D. Lateral face
Answer:
A . altitude
Step-by-step explanation:
Examine the linear graph to find the slope , y-intercept, and write the equation for this linear relationship
Answer:
The slope of the line is: [tex]m=-\frac{1}{2}[/tex]
The y-intercept b = 3
The slope-intercept equation of the line is: [tex]y\:=\:-\frac{1}{3}x+3[/tex]
Step-by-step explanation:
Taking two points from the given graph
(0, 3) and (6, 0)
Determining the slope m
The slope between (0, 3) and (6, 0) using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
(x₁, y₁) = (0, 3) (x₂, y₂) = (6, 0)now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-3}{6-0}[/tex]
[tex]m=-\frac{3}{6}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Thus, the slope of the line is: [tex]m=-\frac{1}{2}[/tex]
Determining the y-intercept (b)
The slope-intercept form of the line equation is given by
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptFrom the graph, we can figure out the y-intercept by checking the value of y at x = 0.
If we closely check the graph, at x = 0, the value of y = 3
Therefore, the y-intercept b = 3
Slope-intercept Equation
We already know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
substituting b = 3 and m = -1/2
[tex]y\:=\:-\frac{1}{2}x+3[/tex]
Therefore, the slope-intercept equation of the line is: [tex]y\:=\:-\frac{1}{2}x+3[/tex]
The graph is also attached below.
5. The measure of an angle is 82.3°. What is the measure of its
supplementary angle?
Answer:
97.7°
Step-by-step explanation:
Supplementary angles are angles that add up to 180° together so 180-82.3=97.7
A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded....
a) annually
b) semi annually
c) quarterly
d) monthly
e) daily
f) continuously
i only need a, c, e, f
9514 1404 393
Answer:
a) $215,892.50
c) $220,803.97
e) $222,534.58
f) $222.554.09
Step-by-step explanation:
The compound interest formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.
When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.
__
For continuous compounding, the formula is ...
FV = Pe^(rt)
FV = 100,000e^(0.08·10) = 222,554.09
will give brainliest to first correct answer. find missing length
Answer: a
Step-by-step explanation:
Because i said so
Helppppppppp !!! Please!!!
If written backward, the number "fourteen thousand five hundred and ninety-three" would be written as "thirty-nine thousand five hundred forty-one". Correct?
Answer:
Yes, correct
Step-by-step explanation:
Answer:
14,593 -> 39,541: Correct!
Step-by-step explanation: