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dimaraw [331]
2 years ago
6

7. A sales girl is paid Rs 5,000 per month as salary and a 4 commission of % on total sales. If she receives Rs 5,192 at the end

of a month, find the total sales. ​
Mathematics
1 answer:
kari74 [83]2 years ago
5 0

Answer:

Sh 4800

Step-by-step explanation:

5192 - 5000 = 192 ( which is the total commission)

4% = 192

100%=? ( so we get the total sales)

100*192/4 = 4800 ( which is the total sales )

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Jasmine had 50 cans and collects 5 additional cans per week for a food drive. Leandra has no cans but collects 10 cans per week.
xxTIMURxx [149]
10 weeks is the answer
6 0
2 years ago
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Find the missing side length. Round your answer to the nearest tenth.
EastWind [94]

Answer:

5.545

Step-by-step explanation:

This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.

in this case, the formula can be applied in the following way

a^2 = b^2  + c^2  - 2*b*c*cos(α)

Where

a,b,c are each of the sides of the triangle,

α is the angle between sides b and c

(See attached picture)

If we use the formula we get

a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)

a^2 = 81 + 36 - 86.2526

a^2 = 30.747

a = sqrt(30.747)

a = 5.545

5 0
3 years ago
Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180
torisob [31]

I got

-  \frac{6 3}{65}

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

\cos(a - b)  =  \cos(a)  \cos(b)  +  \sin(a)  \sin(b)

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

.

{12}^{2}  +  {y}^{2}  =  {13}^{2}

144 +  {y}^{2}  = 169

25 =  {y}^{2}

y = 5

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

.

( - 3) {}^{2}  +  {x}^{2}  =  {5}^{2}

9 +  {x}^{2}  = 25

{x}^{2}  = 16

x = 4

so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so

sin a =-4/5.

Now use cosine difference formula

-  \frac{3}{5}  \times  \frac{5}{13}  +   - \frac {4}{5}  \times  \frac{12}{13}

- \frac{15}{65} + (  - \frac{48}{65}  )

-  \frac{63}{65}

Hope this helps

6 0
3 years ago
What is 26.5 rounded to the nearest hundredth??
blagie [28]
Remember your Number system
After the decimal point to the right, the next digit is the TENTH, and next is HUNDREDTH.

So for 26.5   =  26.500.
The tenth digit is 5, and the Hundredth is 0.
After the hundredth digit which is 0, the next digit is also 0.
The second 0 is not up to 5, so we would not add to the first zero.
(Was it 5, or above, we would have added 1 to first zero)

So the answer is 26.50.  If the next digit after the hundredth digit was 5 or more the answer would have been 26.51.

But for this question the answer is 26.50 to the nearest hundredth.  Cheers.
8 0
3 years ago
Find the area of a circle with a circumference of \blueD{31.4}31.4start color blueD, 31, point, 4, end color blueD units.
Mrrafil [7]

Answer:

The area of the circle is 78.5\ units^{2}

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=31.4\ units

assume

\pi=3.14

substitute the values

31.4=2(3.14)r

r=31.4/[2(3.14)]=5\ units

step 2

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

substitute the values

A=(3.14)(5)^{2}

A=78.5\ units^{2}

7 0
3 years ago
Read 2 more answers
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