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DIA [1.3K]
2 years ago
8

What would be the next point to the right of point (1,1) if the slope of the line is 1/4?

Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0

Answer:

(5,2) D

Step-by-step explanation:

up 1 to the right 4

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Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
7 0
3 years ago
Find all solutions for a triangle with c=70 c=24 and a=25
Slav-nsk [51]

Answer:

see the attachments for the two solutions

Step-by-step explanation:

When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.

When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.

___

Here, the law of sines can be used to solve the triangle:

A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°

B = 180° -70° -A = 31.81° or 8.19°

b = 24·sin(B)/sin(70°) = 13.46 or 3.64

5 0
2 years ago
Read 2 more answers
An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You Buy an album for $1
Lisa [10]

Answer:

need to spend $18 more in addition to $12

Step-by-step explanation:

Given: According to online music store, if you spend $30 or more, you receive 3 songs for free

To find: How much more money need to be spend in addition to $12 to receive three free songs

Solution:

Let x denotes amount to be spend in addition to $12 to receive three free songs

According to question,

x+12\geq 30\\x\geq 30-12\\x\geq 18

3 0
3 years ago
Chase use 1/6 cup of bananas for every 2/3 cup of apples to make a smoothie. Enter the number of cups of bananas Vhase uses for
Reika [66]

Answer:

1/4 cup of bananas

Step-by-step explanation:

1/6 cup of bananas = 2/3 cup of apples

1/6 cup of bananas = 4/6 cup of apples

1/24 (1/6 ÷ 4 since 4/6 cup of apples is 4 units and we need 1 unit) cup of bananas = 1/6 cup of apples

1 cup of apples = 1/4 (1/24 x 6 for 6 units) cup of bananas

4 0
3 years ago
The table shows the values of a function f(x). What is the average rate of change of f(x) from 1 to 4?
Sav [38]

Answer:

-80

Step-by-step explanation:

The average rate of change is

a.r.c = f(4) - f(1)

        --------------

             4-1

f(4) = 244 and f(1) = 484

a.r.c = 244  - 484

        --------------

             3

        = -240/3

      =-80

6 0
3 years ago
Read 2 more answers
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