Answer:
B = (10, -4), D = (58/9, -2)
Step-by-step explanation:
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ___ . If point D divides in the ratio 4 : 5, the coordinates of point D are ___ .
Solution:
If point O(x, y) divides line segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, then:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 ;\ y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Since point C divides AB in the ratio 3:2. Let the coordinates of B be (x₂, y₂). Hence:
[tex]3.6=\frac{3}{3+2}(x_2-(-6))-6\\\\9.6=\frac{3}{5}(x_2+6) \\\\x_2+6=16\\\\x_2=10\\\\\\-0.4=\frac{3}{3+2}(y_2-5)+5\\\\-5.4=\frac{3}{5}(y_2-5) \\\\y_2-5=-9\\\\y_2=-4[/tex]
B = (10, -4)
D divides CB in the ratio 4:5. Let D = (x, y). Hence:
[tex]x=\frac{4}{4+5}(10-3.6)+3.6 \\\\x=\frac{58}{9} \\\\\\y=\frac{4}{4+5}(-4-(-0.4))+(-0.4)\\\\y=-2[/tex]
Hence D = (58/9, -2)
A hot air balloon went from an elevation of 5,717 feet to an elevation of 3,388
feet in 34 minutes. What was its rate of descent?
The rate of the descent was
feet per minute.
Answer:
68.5 feet per minute
Step-by-step explanation:
rate of descent = feet / minute
First you need to find how many feet it has descended:
beginning altitude- ending altitude = total feet descended
5717 feet - 3388 feet = 2329 feet
To figure out the rate of decent we will divide
2329 feet / 34 minutes = 68.5 feet per minute
The hot air ballon descended 68.5 feet per minute for 34 minutes.
Plz helpppppppppppppp helpppppppppppppp
Answer:
(A).option is correct..54cm2
The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot
Answer:
The length of HF is 73.9 feet.
Step-by-step explanation:
Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Where θ is the angle given in the triangle = [tex]80^{o}[/tex].
Then,
Sin 80 = [tex]\frac{x}{75}[/tex]
⇒ x = Sin 80 x 75
= 0.9848 x 75
= 73.86
x = 73.9
Thus, the length of HF is 73.9 feet.
Please please help help
Answer:
7
Step-by-step explanation:
35/5
divide the 5 d's by the longest piece of tape.
An electronic store is having a sale. One item has a price of $191.00 and a sign "on sale for 31% of the original price."
a. as a decimal, 31% is...
b. The sale price of the item would be $...
c. A closer look shows that the sign says "31% off the original price." What would be the sale price? Can you use your first answer to help you find this answer? Explain your reasoning.
1. 4(2x + 3) = 36
Thanks please help with this
Answer: x=3
Step-by-step explanation: Hope this help :D
Answer:
x=3
Step-by-step explanation:
4(2x+3)=36
8x+12=36
8x=24
x=3
Here are four number cards. 7,1,8,4. Using only three of the cards, write down the three digit number closest to 800 that can be made.
Answer:
784 or 814
Step-by-step explanation:
these two numbers can be the closest written to the value of 800
A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?
24.5 square feet
59.5 square feet
70 square feet
147 square feet
x²-5x+6/5x-25 help please
Answer:
x^2-5x+6x-25
--- (6x over 5)
5
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
x^2-5x+6x-25
into
x^2-5x+6x-25
--- (6x over 5)
5
I hope this helps. If you need more clarification please let me know.
:)
PLEASE HELP ILL MARK BRAINIEST
Answer:
(3,4)
Step-by-step explanation:
The diagram shows a circle contained in a square. What is the simplified ratio of the area of the circle to the area of the square?
Answer:
π/4Step-by-step explanation:
We have a = 2r
Area of square:
A₁ = a² = 4r²Area of circle:
A₂ = πr²Ratio:
A₂/A₁ = πr²/4r² = π/4Answer:
π/4
Step-by-step explanation:
Hope this helps
Write an equation in slope intercept form from a table?
X. 4. 6. 7. X. 14. 20. 23
9514 1404 393
Answer:
y = 3x + 2
Step-by-step explanation:
Assuming your table values are (x, y) = (4, 14), (6, 20), (7, 23), the slope and intercept formulas can be used.
m = (y2 -y1)/(x2 -x1)
m = (20 -14)/(6 -4) = 6/2 = 3
b = y -mx
b = 14 -3(4) = 2 . . . . for (x, y) = (4, 14)
Then the equation of the line is ...
y = mx + b
y = 3x + 2
please answer this someone I’m desperate
1. What's the probability that a respondent was a boy AND in year 8?
Answer:
8/18?
Step-by-step explanation:
A store purchased a plasma screen TV for $770 and marked it up 150%. During a sale, the store marked it down 20%. What was the discount price on the plasma screen TV?
Answer:
1540
Step-by-step explanation:
First find the new price after the markup
The markup is
770 * 150%
770 * 1.5
1155
Add this to the original price
770 + 1155
1925
Now find the discount
1925*20%
1925*.20
385
Subtract this amount from the 1925
1925-385
1540
The final price is 1540
Answer:
Solution given:
cost price [c.p] of TV =$770
MP=c.p+ 150% of c.p=$770+150/100×770=$1925
discount [D]=20%
now
discount amount=D% of MP=20/100×1925=$385 is your answer.
$385 was the discount price on the plasma screen TV.
what is the answer to the problem 5p-14=8p+4
Answer:p=-6
Step-by-step explanation:
i need help with this question asap it’s due today and soon
what is 2.1 divided by 1.488
Answer:
= 0.708
Step-by-step explanation:
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
how many two digits divisible by 6
Answer:
The first two digit number divisible by 6 is 12 and The last two digit divisible by 6 is 96 Let a=12, d=6, an=96
Step-by-step explanation:
Answer:
15.There are 15 2 digit numbers which are divisible by 6.
The measure of an angle is twenty-four times the measure of its complementary angle. What is the measure of each angle?
Answer:
3.6° and 86.4°Step-by-step explanation:
24x - measure of an angle
x - the measure of a complementary angle
Complementary angles adds to 90°
x + 24x = 90°
25x = 90°
x = 90°÷25
x = 3.6°
24x = 24·3.6° = 86.4°
Answer:
3.6° and 86.4°
Step-by-step explanation:
I did this on ixl and got it right
Find the Value of X Please
Answer:
x=6
Step-by-step explanation:
3x-5=2x+1
x-5=1
x=6
Having trouble please help
Answer:
no real roots
Step-by-step explanation:
Hey There!
If you didn't know you cannot square a negative number to get a negative number
Why? let me give you an example
-4x-4=16 not -16 therefore there are no real roots to a negative number
25°
У
x 120°
y = [ ? ]
Enter
9514 1404 393
Answer:
y = 95°
x = 60°
Step-by-step explanation:
The applicable theorem is the one that says the exterior angle (120°) is the sum of the remote interior angles:
120° = 25° +y
95° = y . . . . . . . . . . subtract 25° from both sides
_____
If you like, you can get there by calculating x (or not):
x = 180° -120°
y = 180° -25° -x = 180° -25° -(180° -120°)
y = 120° -25° . . . . . simplify — notice we didn't actually have to compute x
can someone help me out in this, ill give brainliest if correct, you can answer by doing it in a paper and taking a picture of it or just find out another way
Answer:
Answering so you can give other person branliest
find the measure of angle x
Answer:
50°
Step-by-step explanation:
Because a square has a 90° angle and if you subtract 40° from 90° you get 50°.
Select all of the ordered pairs that are solutions to the system
Answer:
(0,0)
(2,2)
(0,1)
Step-by-step explanation:
All of these points lie inside
(help please)Identify the slope of the graph below!
Answer:
I think its positive. I'm not sure though lol.
Answer: zero
Step-by-step explanation:
learned this freshman year
What is another way to write x2.x4?
Answer:
If x2.x4 and x2= 2x, x4=4x, while . means multiplication. therefore it can be written as 2x × 4x
A triangle has one angle that measures 61 degrees, one angle that measures 44 degrees, and one angle that measures 75 degrees. what kind of triangle is it?
Answer:
scalene triangle
Step-by-step explanation:
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