Answer:
(2,1)
Step-by-step explanation:
The coordinate point between two points divided between ratio a and b is expressed as;
(X, Y) = [(ax1+bx2/a+b,ay1+by2/a+b]
Given the coordinate points (-7,-5) and (5,3) divided within the ratio 1:3
X = ax1+bx2/a+b
X = 1(-7)+3(5)/1+3
X = -7+15/4
X = 8/4
X = 3
Similarly
Y = ay1+by2/a+b
Y = 1(-5)+3(3)/1+3
Y = -5+9/4
Y = 4/4
Y = 1
Hence the required coordinate point is (2,1)
F is directly proportional to a.
If F = 28 when a = 7 find,
F when a = 10
Answer:
Step-by-step explanation:
a=10
Step-by-step explanation:
The question can be interpreted as
F∝a
If we introduce proportionality constant k, we have
F= k.a
28= k. 7
k= 28/7
k= 4
Then the equation can be written as
F= 4.a
To find, a when F = 40?
F= 4.a
40=4 × a
a= 40/4
a= 10
Answer:
F = 40
Step-by-step explanation:
Given F is directly proportional to a then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 28 when a = 7 , then
28 = 7k ( divide both sides by 7 )
4 = k
F = 4a ← equation of proportion
When a = 10, then
F = 4 × 10 = 40
Miranda owes max $120.00. She pays back 30% of what she owes. How much does she have left to pay back?
Answer:
I’m pretty sure the answer is $84
Step-by-step explanation:
A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.
A. 5,410
B. 569
C. 52,043
D. 572
========================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(6) = a/5440
5440*sin(6) = a
a = 5440*sin(6)
a = 568.634840176034
a = 569 feet, which shows why choice B is the answer.
This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5
side note: 569 feet is roughly equal to 0.1078 miles.
The driver's increase in altitude is 569 feet.
Given that,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
We have to determine,
The driver's increase in altitude?
According to the question,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
The inclination is determined by using the sin angle.
Therefore,
The driver's increase in altitude is,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.
Substitute all the values in the formula,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]
Hence, The driver's increase in altitude is 569 feet.
For more details refer to the link given below.
https://brainly.com/question/11280532
Help!!!!!!!!!!!!!!!!!
Answer:
-64
Step-by-step explanation:
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
b)
b
17 cm
a
b
8 cm
12 cm
5 cm
Answer:
a=9.4cm
b=12.0cm
Step-by-step explanation:
What is an anticodon?
Find the gradient of the line segment between the points (8,6) and (10,12)
Answer:
3.
Step-by-step explanation:
The gradient = (12-6/(10-8)
= 6/2
= 3.
If x+3/3 = y+2/2, then x/3 = ______
What radius help me ! Help !
What is the sum of 24 and 72? Write the answer in standard form.
Answer:
24 + 72 = 96
Step-by-step explanation:
20 + 70 = 90
4 + 2 = 6
90 + 6 = 96
You can first add the ones and then add the tens start always from the ones place gradually getting the higher value digit, to make it easier stack them.
72
24
+____
96
Answer:
9.6 x 10
Step-by-step explanation:
24 + 72 = 96
5 cm 7 cm 15 cm What is the surface area of the figure? by square centimeters
A remote control airplane with an original price of $85 is on sale for $76.50. What is the percent of the discount?
Answer:
10% dicount
Step-by-step explanation:
76.50 / 85.00 = .9
The airplane cost 90% of its original value, meaning you have a 10% discount
10% of 85 = .1 x 85 = 8.50
85.00 - 8.50 = 76.50
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?
What are the variables, equations, and how do you solve?
i don't know what ur say can u be more specif sorry
What is the name of the persons(nobles) who help the taino chief
pls help me I will give brainliest
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
Cacique comes from the Taíno word kassiquan, meaning "to keep house". In 1555 the word entered the English language as "prince". In Taíno culture, the cacique rank was hereditary and sometimes established through democratic means.
hope it helps you,
Mark me as the brainliest....
Follow me!
Solve each equation. 15 = t - 25 m6 = 18 5d = 75 94 = g + 32
Answer:
1, t = 40
2, m = 3
3, d = 15
4, g = 62
Step-by-step explanation:
15 = t - 25
+25. +25
40 = t
M6/6 = 18/6
m = 3
5d/5 = 75/5
d = 15
94 = g + 32
-32. -32
62 = g
please help due in one hour
An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
the graph shows how much you and your friend each earn while mowing lawns
Answer:
what graph ? i do not see one
Step-by-step explanation:
PLEASE HELP ME ASAP!
The difference between three times a number and the sum of twelve squared plus ninety-two equals five hundred fourteen.
Answer:
Number = 250
Step-by-step explanation:
Let x = "a number"
Difference means subtraction:
3x - (12^2 + 92) = 514
3x = "three times a number"
12^2 + 92 = "the sum of twelve squared and ninety two"
Solve from there.
66 POINTS FOR THIS QUESTION!!! There are 48 students in a school play. The ratio of boys to girls is 5:7. How many more girls than boys are in the play?
-6(-2x -y + 4)
It also says to use the distributive property
Answer:
The answer is 12x+6y-24
Step-by-step explanation:
Answer:
12x + 6y -24
Step-by-step explanation:
A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?
Answer:
equation: x(1.25) + 6.75 = 31.75 refills: 20
Step-by-step explanation:
The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"
Now we solve the equation. First, subtract 6.75 from each side
x(1.25) + 6.25 = 31.75
-6.25 -6.25
Now we have "x(1.25) = 25" So we have to divide each side by 1.25
x(1.25/1.25) = 25/1.25
x = 20
Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.
20(1.25) + 6.75 = 31.75
25 + 6.75 = 31.75
31.75 = 31.75
I'm not the best at explanations, but I hope this helped! :)
A box contains 315 half inch conduit couplings and weighs 119 pounds . An identical box also contains half-inch conduit couplings and weighs 47 pounds . How many coupling are in the second box ?
Answer: See explanation
Step-by-step explanation:
Let the coupling that are in the second box be represented by x.
We are informed that a box contains 315 half inch conduit couplings and weighs 119 pounds and that an identical box also contains half-inch conduit couplings and weighs 47 pounds. This can be represented in an equation as:
315/119 = x/47
Cross multiply
119 × x = 315 × 47
x = (315 × 47) / 119
x = 14805/119
x = 124.4
There are about 124 couplings in the box.
x/12=-2 solve for x please
Answer:
-24
Step-by-step explanation:
Answer:
−24
Step-by-step explanation:
a full glass of water can hold 1/6 of a bottle how many of glasses can be filled with 3 1/2 of bottles of water
Answer:
21 glasses can be filled
8(4n + 3) = – 72
show your work
Answer: n= −3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8(4n+3)=−72
(8)(4n)+(8)(3)=−72(Distribute)
32n+24=−72
Step 2: Subtract 24 from both sides.
32n+24−24=−72−24
32n=−96
Step 3: Divide both sides by 32.
32n/32 = −96/32
n=−3
Answer:
n= -3
Step-by-step explanation:
32n+24=-72
(subtract 24)
32n=-96
(divide by 3)
n=-3
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy? *
4
14
12
10
What is 4 divided by 888
Answer:
0.0045045045
Step-by-step explanation:
Have a good day I hope this helps! :)
I NEED THE ANSWERS ASAP PLEASE HELP!!!!!
Answer:
x = 10
y = [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Let me know if you want an explanation.
Help pls i forgot how to do this