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gizmo_the_mogwai [7]
3 years ago
12

Flying to Kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112km/h while flying bac

k into the same wind. find the speed of the wind and the speed of the plane in still air.
Mathematics
1 answer:
never [62]3 years ago
4 0
<span>flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane instill air. -------------------------------- Let plane speed be "p". Let wind speed be "w". --------- Equations: p + w = 158 p - w = ...</span><span>
</span>
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6. In right triangle ABC, mZC=3y-10,
lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

90\°+(y+40)\°+(3y-10)\°=180\°

Solve for y

4y+120=180

4y=180-120

4y=60

y=15

step 2

<em>Find the measure of angle B</em>

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

<em>Find the measure of angle C</em>

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

so

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0
2 years ago
What number is 70% of 120?please give the equation with x
MA_775_DIABLO [31]
You can set up this equation as:
x = 0.7(120)

Because remember, 70% is equal to 0.7 and x represents the unknown value. So, let's just solve it:
x = 0.7(120)=84

So, 70% of 120 is 84.
7 0
3 years ago
Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9,8 and 7(separate number sum for each mu
jok3333 [9.3K]

Answer:

Sum of 2 digit = 48

Sum of 3 digit = 317

Sum of 4 digit = 3009

Total = 3374

Step-by-step explanation:

Given:

9, 8 and 7

Required

Sum of Multiples

The first step is to list out the multiples of each number

9:- 9,18,....,99,108,117,................,999

,1008

,1017....

8:- 8,16........,96,104,...............,992,1000,1008....

7:- 7,14,........,98,105,.............,994,1001,1008.....

Calculating the sum of smallest 2 digit multiple of 9, 8 and 7

The smallest positive 2 digit multiple of:

- 9 is 18

- 8 is 16

- 7 is 14

Sum = 18 + 16 + 14

Sum = 48

Calculating the sum of smallest 3 digit multiple of 9, 8 and 7

The smallest positive 3 digit multiple of:

- 9 is 108

- 8 is 104

- 7 is 105

Sum = 108 + 104 + 105

Sum = 317

Calculating the sum of smallest 4 digit multiple of 9, 8 and 7

The smallest positive 4 digit multiple of:

- 9 is 1008

- 8 is 1000

- 7 is 1001

Sum = 1008 + 1000 + 1001

Sum = 3009

Sum of All = Sum of 2 digit + Sum of 3 digit + Sum of 4 digit

Sum of All = 48 + 317 + 3009

Sum of All = 3374

4 0
3 years ago
An animal shelter houses only cats and dogs, there are 25% more cats these dogs. If there are 40 cats, how many dogs are there,
jok3333 [9.3K]

Answer:

There are 32 dogs and 72 animals in total.  

Step-by-step explanation:

In order to find the amount of dogs, you need to set up an equation to solve for the missing variable.  Let 'c' be the amount of cats and 'd' be the amount of dogs.  We know that there are 40 cats, so c = 40.  We also know that there are 25% more cats than dogs, so we can form an equation to express this difference:  1.25d = c, indicating that the number of cats is equal to the total number of dogs, plus an additional 25%.  Since we know c = 40, we can set our second equation equal to 40:  1.25d = 40.  Using inverse operations, we divide both sides by 1.25 to get d = 32.  So, d + c, or 32 + 40 = 72 total animals.  

6 0
3 years ago
Im working on ratios and proportions and missed some of it. Can anyone help?
Anna35 [415]
So for 1, the way to find one 'part' of the ratio, is to add up the ratio and divide the number from 180 (180 degrees in a triangle). So you would do 7 + 13 + 16 = 36. 180 divided by 36 = 5. Each part represents '5'. So to find the angles, you would do the coefficient multiplied by 5. Therefore, angle DEA is 13 * 5, which is 65 degrees, angle DFA is 16 * 5 = 80 degrees, and angle FDE is 7 * 5, which is 35. You know this is correct because 80 + 35 + 65 = 180 degrees.

For 2, you just have to set up a ratio. So we know that there are 320 cookies for 16 students, so the ratio would be set up as 320:16. So the cookie:student ratio, a.k.a, the number of cookies for each student is going to be the entire ratio divided by 16. We do this because there are 16 students, so to find the amount of cookies for 1 student, we do 16 / 16, which is 1. But of course, this affects the first part of the ratio too, so you do 320 divided by 16, which is 20. So the cookie:student ratio is 20:1. Every 1 student gets 20 cookies. 

For 3, you just have to set up another ratio. If he finds 2 clovers in the first 12 minutes, the clover:minute ratio will be 2:12, or 1:6. This means that for every 6 minutes spent searching, 1 clover will be found. If he spends a total of 180 minutes searching, we can predict the number of clovers he will find by doing a proportion calculation. 180 / 6 = 30. That means we have to multiply 1:6 by 30 to find the number of clovers he will find. We multiply by 30 because 6 * 30 is 180 minutes, and obviously, this will affect the first part of the ratio too. 1 * 30 = 30. So that means the ratio is now 30:180. He will find 30 clovers in 180 minutes.

I hope you get it by now, but if you don't let me know. I'll help you answer the rest of the questions :) 
7 0
3 years ago
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