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Sindrei [870]
3 years ago
10

3. Ahmad, Hassan dan Shahril collected an amount of donation in the ratio of 3: 7: 8. The difference in

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Answer:

192

Step-by-step explanation:

Ratio :  3:7:8

Let the amount with Ahmad, Hassan and Shahril be 3x,7x and 8x

7x - 3x = 96

4x = 96

 x = 96/4

  x= 24

Amount donated by Shahril = 8x = 8 *24  = 192

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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
3 years ago
Divide: (-7x+x^2+15)÷(-3+x)
kakasveta [241]
Since the divisor is in the form (x + #) or (x - #), This can be done by synthetic division.
First put the polynomial ion descending order: x^2 - 7x + 15
Take the coefficients of the terms and follow these steps:

3 |  1 -7  15
         3  -12
___________  Bring down the 1, multiply the 3 by the 1 and place under the
     1  -4    3       -7, then add.
                         Multiply 3 by -4, place under the 15, then add.
       The bottom row is our answer. Since the problem started with a second power, the answer will start with a first power.
The bottom row are the coefficients of the terms and the last number is the remainder.
x - 4 remainder 3 ALSO WRITTEN   x - 4 + 3/(x -3)
3 0
3 years ago
Is the equation true, false, or open? 9p+8=10p+7
stich3 [128]

The answer is A because it has a variable. HOPE THIS HELPS!!! <3

6 0
2 years ago
Jillian exercises 5 times a week. She runs 3 miles each morning and bikes in the evening. If she exercises a total of 30 miles o
Nutka1998 [239]

Answer:

Jillian bikes 3 miles each evening.

3

Step-by-step explanation:

3 (miles) × 5 (days) = 15 (Run)

3 (miles) × 5 (days) = 15 (Bike)

30 miles total

Hope this helps!!

Check:

She works out twice a day and goes three miles each time for five days.

Six miles per day

6 · 5 = 30

5 0
2 years ago
What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?
elena-s [515]

Answer:

The multiple zero is x=-5.

The multiplicity is 2

Step-by-step explanation:

The given function is

f(x)=x^3+10x^2+25x

To find the zero of this function, we equate it to zero.

\Rightarrow x^3+10x^2+25x=0

We factor to obtain;

x(x^2+10x+25)=0

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

x(x+5)^2=0

This implies that;

Either x=0 or (x+5)^2=0

(x+5)^2=0 has a multiple zero which is

x=-5 and its multplicity is 2.

3 0
3 years ago
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