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mel-nik [20]
3 years ago
9

Find the value of x in the triangle shown below. a.164 b.2 c.6 d.80

Mathematics
2 answers:
Alexxandr [17]3 years ago
4 0

THEOREM:

  • <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

ANSWER:

By pythagorean property,

  • x² = 10² - 8²
  • x² = 100 - 64
  • x² = 36
  • x = √36
  • x = 6 units.

So, <u>Correct choice</u> - [C] 6 units.

finlep [7]3 years ago
3 0

Answer:

\huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\

by using Pythagoras law:

h²=p²+b²

10²=z²+8²

z²=100-64

z=√36=6

<u>z</u><u>=</u><u>6</u><u> </u><u>u</u><u>n</u><u>i</u><u>t</u><u>s</u><u>.</u>

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Solve by substitution <br> 1. 6x+ 5y=7 x-y=3<br> 2. 3a +2b =4 2a + b=6<br> 3. 2x + y= 4 4x -y=2
Juli2301 [7.4K]

Answer:

1. y = 11

x = -48

2. a =8

b= -10

3. x= 1

y= 2

Step-by-step explanation:

1 . 6x + 5y = 7

x-y= 3

6x+5y = 7

6x-6y =18

-1y = - 11

6x + 5y = 7

y = 11

6x + 55 = 7

6x = -48

x = -48

8 0
3 years ago
Can you do the grade 6 one thanks offering 1000(Promise) points for the first one to answer. Iam offering this much because its
DedPeter [7]

Answer:

She needs to finish in 48.7 percent of the time it normally takes her

Step-by-step explanation:

6th grade math problem

swim 15 minutes 45 seconds

bike ride   45 minutes

She want to complete the 3 events in 70 minutes

swim + bike + run = 70

15 minutes 45 seconds + 45 minutes + run = 70 minutes

Combine like terms

60 minutes 45 seconds +  run = 70 minutes

Subtract 60 minutes 45 seconds from each side

60 minutes 45 seconds - 50 minutes 45 seconds +  run = 70 minutes - 60 minutes 45 seconds

run = 9 minutes 15 seconds

Her training run was 19 minutes

The percent of time she needs to take is time to finish / training run time

percent = 9 minutes 15 seconds/ 19 minutes

We need to put this in minutes.  There are 60 seconds in 1 minute

9 minutes 15 seconds =  9 minutes  15/60 = 9.25 minutes

percent = 9.25 minutes / 19 minutes

percent = .486842105

percent = 48.7 percent

She needs to finish in 48.7 percent of the time it normally takes her

4 0
3 years ago
Read 2 more answers
Stuart has some 2- ounce, 3- ounce, and 4- ounce weights. How many different ways can Stuart combine the weights to make a total
podryga [215]
2,3,4
1st way: 6*2oz=12oz
2nd way: 3*2oz+2*3oz=12oz
3rd way: 4*2oz+4oz=12oz
4th way: 2*2oz+2*4oz=12oz
5th way: 4*3oz=12oz
6th way: 2*3oz+2oz+4oz=12oz
7th way: 3*4oz=12oz
Stuart can combine 2oz, 3oz and 4oz weigths 7 different ways to get 12oz.

8 0
4 years ago
Which values are solutions to the inequality below? <br><br>Check all that apply.
matrenka [14]
You have this....

√x > 8

This means that the square root of something is greater than 8.

So plug in everything for x and find the answer.

Anything 64 and below is NOT THE ANSWER.

√64 = 8, and 8 is not greater than 8, so anything 64 and below is wrong.

So the answer is...

D and F.




4 0
3 years ago
A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an
qwelly [4]

Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

r = 0.066/12 = 0.0055

n = 12 × 20 = 240

R = $225

Therefore,

S = 225[{(1 + 0.0055)^240 - 1)}/0.0055][1 + 0.0055]

S = 225[{(1.0055)^240 - 1)}/0.0055][1.0055]

S = 225[{(3.73 - 1)}/0.0055][1.0055]

S = 225[{(2.73)}/0.0055][1.0055]

S = 225[496.36][1.0055]

S = $112295.2

7 0
4 years ago
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