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Ksenya-84 [330]
3 years ago
8

A typing service charges $5.00 per pages Mrs Daniel does not want to spend more than $25 for typing What is the maximum number o

f pages she can have typed
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0
It would be 5 pages for under $25
You might be interested in
How is the value of 4 in 864 related to the value of 4 in 846
blsea [12.9K]
The value of 4 in 864 is 4...because it is in the ones place
the value of 4 in 846 is 40...because it is in the tens place

40/4 = 10...so the value of the 4 in 846 is 10 times greater then the value of 4 in 864
7 0
4 years ago
In ∆ABC, m∠A = 60º, m∠C = 30º, and AB = 6 inches. What is the length of side BC?
Alex17521 [72]

The length of the side BC is 6√3 inches

Step-by-step explanation:

Let us revise the sine rule

In Δ XYZ

  • The side XY is opposite to angle Z
  • The side YZ is opposite to angle X
  • The side XZ is opposite to angle Y
  • The sine rule is \frac{XY}{sin(Z)}=\frac{YZ}{sin(X)}=\frac{XZ}{sin(Y)}

In Δ ABC

∵ m∠A = 60°

∵ m∠C = 30°

∵ AB = 6 inches

- By using the sine rule

∵ AB is opposite to ∠C

∵ BC is opposite to ∠A

∵  \frac{AB}{sin(C)}=\frac{BC}{sin(A)}

∴ \frac{6}{sin(30)}=\frac{BC}{sin(60)}

- By using cross multiplication

∴ BC × sin(30) = 6 × sin(60)

∵ sin(30) = \frac{1}{2}  and sin(60) = \frac{\sqrt{3}}{2}

∴ \frac{1}{2} BC = 6( \frac{\sqrt{3}}{2} )

∴ \frac{1}{2} BC = 3\sqrt{3}

- Multiply both sides by 2

∴ BC = 6√3

The length of the side BC is 6√3 inches

Learn more:

You can learn more about the triangles in brainly.com/question/1238144

#LearnwithBrainly

4 0
3 years ago
Solve this inequality for x: -46 -8x >22.
olga2289 [7]

Answer:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

3 0
3 years ago
Read 2 more answers
The equation of a circle is given below. x^{2}+(y-2.25)^{2} = \dfrac{196}{169}x 2 +(y−2.25) 2 = 169 196 ​ x, squared, plus, left
Lostsunrise [7]
  • Center =(h,k) = (0,2.25)
  • Radius = r = \frac{14}{13}

<u>Step-by-step explanation:</u>

Here we have following equation : x^{2}+(y-2.25)^{2} = \dfrac{196}{169}

We need to find the center & radius of this circle . Let's find out:

We know that , Equation of a circle is given by :

⇒ (x-h)^2+(y-k)^2=r^2   ........(1)

Here , (h,k) are the co-ordinates of center & r is the radius of circle.Collectively called as a circle with radius r and center at (h,k) . Let's frame given equation in question :

⇒  x^{2}+(y-2.25)^{2} = \frac{196}{169}

⇒  (x-0)^{2}+(y-2.25)^{2} = (\frac{14}{13})^2

On comparing this equation with equation (1) we get :

  • Center =(h,k) = (0,2.25)
  • Radius = r = \frac{14}{13}
6 0
4 years ago
Read 2 more answers
Part A). Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are d
rosijanka [135]

Answer

A. -30 points

B. 60 points

Step-by-step explanation:

20 points for correct answer and 10 points deducted for wrong answer

Each deduction is -10 while each correct answer gives + 20

4 questions correctly and 11 incorrectly

= 4(20) + 11(-10)

= 80-110 = -30 points

Second round

7 correct, 8 incorrect

= 7(20) - 8(10)

= 140-80 = 60 points

4 0
3 years ago
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