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Elza [17]
3 years ago
15

Determine the value of x

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:

2√2

Step-by-step explanation:

<u>By </u><u>using </u><u>trigonometry,</u>

sin 45° = x/4

x = 4sin 45°

x = 2√2

<u>By </u><u>using </u><u>Pythagorean</u><u> </u><u>theorem</u><u>,</u>

Since you know that it is an isosceles triangle and it's also a right-angled triangle,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

= 2√2

You might be interested in
10 decreased by the product of z and 9​
asambeis [7]

Answer:

Step-by-step explanation:

z*9-10

9z-10

hope i helped.

3 0
4 years ago
A delivery truck driver charges a fixed base price of $6 for 2 miles. After 2 miles, he charges an additional $2 for every mile.
Amanda [17]

Answer:

B

Step-by-step explanation:

That delivery truck driver charges a fixed base price of $6 for 2 miles.

After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.

We need to describe the cost of the delivery truck between 1 mile and 2 miles.

In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.

From the given graph it is clear that the value of function is constant between x=1 and x=2.

It means the cost of the delivery truck between 1 mile and 2 miles is constant.

Therefore, the correct option is B.

5 0
3 years ago
A truck is shipping jugs of water and cases of paper towels. A jug of drinking water weighs 40 pounds and a case of paper weighs
mamaluj [8]

Answer:

40w + 16p ≤ 2000

Step-by-step explanation:

let 'w' = jugs of water

let 'p' = cases of paper

the area of shading will include negative values which you can ignore because those values do not apply to this problem

3 0
3 years ago
Use the information in the table to find the indicated probability.
grin007 [14]

Answer:

P(\text{Female}|\text{Advanced})=\frac{322}{567}\approx0.5679

Step-by-step explanation:

\displaystyle P(\text{Female}|\text{Advanced})=\frac{P(\text{Female and Advanced})}{P(\text{Advanced})}\\\\P(\text{Female}|\text{Advanced})=\frac{\frac{322}{2501}}{\frac{567}{2501}}\\\\P(\text{Female}|\text{Advanced})=\frac{322}{567}\\ \\P(\text{Female}|\text{Advanced})\approx0.5679

5 0
3 years ago
class size m average 0.82 n class n average 0.78. if the average for combined classes is 80%, what is relationship between m and
katen-ka-za [31]

Answer:

The relation between m and n is ,  m = n      

Step-by-step explanation:

Given as :

The average for n class  = 0.82 = 82%

The average for m class  = 0.78 = 78%

The average for ( m + n ) class  = 80%

So , \frac{x_1 +x_2+x_3+x_4+ ....... + x_n}{n} = 82%

And \frac{x_1 +x_2+x_3+x_4+ ....... + x_m}{m} = 78%

And , \frac{(x_1+x_2+x_3+x_4+ ......+x_n ) + (x_1+x_2+x_+x_4+.....+x_m)}{m+n} = 80%

So , 0.82×n + 0.78×m = 0.80× (m+n)

Or,  0.82×n - 0.80×n = 0.80×m -   0.78×m

Or,   0.02×n              =  0.02×m

Or,   \frac{m}{n} =  \frac{0.02}{0.02}

∴      \frac{m}{n} = 1

I.e     m  =  n

Hence The relation between m and n is ,  m = n      Answer

6 0
3 years ago
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