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Bogdan [553]
3 years ago
12

9 more than a number is equal to 10

Mathematics
2 answers:
Softa [21]3 years ago
7 0

Answer:

1

Step-by-step explanation:

Oliga [24]3 years ago
5 0

Answer:

1

Step-by-step explanation:

9 + 1 is equal to 10. Therefore, the answer is 1.

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Find x and decide if that side (with the x) is an Altitude
irga5000 [103]

Answer:

  1. b = 15
  2. c = 51
  3. c = 100
  4. b = 25.75

Step-by-step explanation:

Using the Pythagoras theorem equation:

c^{2}=a^{2}+b^{2}

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

17^{2}=8^{2}+b^{2}

b=\sqrt{225}

b=15

2) Here a = 24, b = 45 and c = ?  

c=\sqrt{24^{2}+45^{2}}

c=51

3)  Here a = 28, b = 96 and c = ?

c=\sqrt{28^{2}+96^{2}}    

c=100

4)  Here a = 17, b = ? and c = 28

b=\sqrt{28^{2}-11^{2}}  

b=25.75

Just in the 4 case x is an altitude.

I hope it helps you!

         

3 0
3 years ago
the cost of the food that was originally 300 php was reduced to 180 php. what was the percent of the reduction​
ZanzabumX [31]

Answer:  60% of 300 is 180

3 0
4 years ago
An automatics air freshener releases droplets into the air to improve the smell of a living room. At 30 minutes, the canister ha
Dovator [93]

Answer:

The equation is;

y = -1/4x + 607.5

Step-by-step explanation:

Let us have the number of drops as y axis while the number of minutes is x axis

The points to use are;

(30,600) and (130,575)

The slope can be calculated using;

m = (y2-y1)/(x2-x1)

= (575-600)/(130-30) = -25/100 = -1/4

So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)

y = -1/4x + c

To get c, we simply substitute one point

Let us use (30,600)

We have

600 = -1/4(30) + c

600 + 7.5 = c

c = 607.5

So the equation is ;

y = -1/4x + 607.5

4 0
3 years ago
A random sample produced the pie chart below. The chart gives percentages of students that under reported, accurately reported,
tiny-mole [99]

Answer:

The correct option is A.

Step-by-step explanation:

Total number of students at the school is 2,500.

In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.

From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.

2500\times \frac{1}{5}=500

Therefore the number of students that accurately reported their height is 500. Option A is correct.

7 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 80 cm. Find the lengths of the sides of the rectangle giving the maximum area.Enter the answers
musickatia [10]

Answer:

The lengths of the sides are 20 cm and 20 cm

Step-by-step explanation:

Given

Perimeter, P = 80cm

Represent the length and width with L and W, respectively;

P= 2*(L + B)

Substitute 80 for P

80 = 2 * (L + B)

Divide through by 2

40 = L + B

L + B = 40

Make L the subject of formula

L = 40 - B

Area of a rectangle is calculated as thus;

Area = L * B

Substitute 40 - B for L

Area = (40 - B) * B

Express this as a function

A(B) = (40 - B)* B

(40 - B)* B = A(B)

Set A(B) = 0 to determine the roots

Hence;

(40 - B)* B = 0

<em />40 - B = 0<em> or </em>B = 0<em />

<em />40 = B<em> or </em>B = 0<em />

<em />B = 40<em> or </em>B = 0<em />

<em />

The maximum area of a rectangle occurs at half the sum of the roots;

So;

B= \frac{B_1 + B_2}{2}

B= \frac{40+0}{2}

B= \frac{40}{2}

B = 20

Recall that L = 40 - B

L = 40 - 20

L = 20

<em>Hence the lengths of the sides are 20 cm and 20 cm</em>

4 0
4 years ago
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