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1 year ago

Statement "if a and b are both positive integer numbers, then a +b > a

Mathematics

1 answer:

bezimeni [28]1 year ago

3 0

Answer:

Always

Step-by-step explanation:

Subtracting a from both sides yields b>0, which is always true since b is a positive integer.

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Triangle ABC is similar to Triangle FGH. What is the value of x in centimeters?

EleoNora [17]

Given:

Given that the triangle ABC is similar to triangle FGH.

We need to determine the value of x.

Value of x:

Since, the triangles are similar, then their sides are proportional.

Thus, we have;

$\frac{AC}{FH}=\frac{AB}{GF}=\frac{BC}{GH}$

Let us consider the proportion $\frac{AB}{GF}=\frac{BC}{GH}$ to determine the value of x.

Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;

$\frac{9}{13.5}=\frac{15}{x}$

Cross multiplying, we get;

$9x=15 \times 13.5$

$9x=202.5$

$x=22.5 \ cm$

Thus, the value of x is 22.5 cm

Hence, Option F is the correct answer.

8 0

3 years ago

HELP ME WITH MATH!!! So basically I have to figure out how many hours that is between the times.

Ad libitum [116K]

Answer: (I think its correct)

1: 8 hours and 30 minutes

2: 8 hours

3: 8 hours and 50 minutes

4: 8 hours and 45 minutes

5: 7 hours and 48 minutes

6: 11 hours 13 minutes

7: 11 hours 31 minute

Step-by-step explanation: (Im bad at explaining it)

So I got this by using counting the hours in between the times and taking out the minutes in them,then subtracting the time they took the fall asleep. Every time that has minutes I add that, if it is over 60 minutes I subtract 60 minutes. So like 30+35=65 | 65-60=5.

Lets do a problem: 9:15 (bed) | 10:30(woke up) | 30 minutes (fall asleep)

So we count how many hours in each time and we take out the minutes, so 9:00, 10:00, 11:00, so on and so forth.

So in between the hours its was 13. Then we add the minutes (15+30)

15+30=45. So the answer is 13 hours and 45 minutes, but we got to subtract 13 hours and 45 minutes which is 13 hours and 15 minutes.

Final Answer: 13 hours and 15 minutes.

8 0

3 years ago

Read 2 more answers

The monthly revenue of a certain company is given by R 820p-7p, where p is the price in dollars of the product the company manuf

lora16 [44]

The revenue will be 12,000 when the price of the product is $100

Given :

The monthly revenue of a certain company

$R=820p-7p^2$

We need to find out p when Revenue R is 12000

Lets replace R with 12000 and solve for p

$12000=820p-7p^2\\820p-7p^2=12000\\-7p^2+820p-12000=0$

Apply quadratic formula

$p=\frac{-820\pm \sqrt{820^2-4\left(-7\right)\left(-12000\right)}}{2\left(-7\right)}\\p=\frac{-820\pm \:580}{2\left(-7\right)}\\p=\frac{-820+580}{2\left(-7\right)},\:p=\frac{-820-580}{2\left(-7\right)}\\p=\frac{120}{7},\:p=100$