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3 years ago

The legs of a 45-45-90 triangle have a length of 8 units. What is the length of one of its hypotenuse?

1 answer:

8 0

To find the hypotenuse of a 45 45 90 triangle, multiply the leg by sq root (2)

8 * sqrt(2) = 8 * 1.4142135624 
= 11.313708499 
Source:
http://www.1728.org/trig2.htm

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A square scarf has a side length of 3/4 yard on each side.

denis-greek [22]

Answer:

$\frac{9}{16}\ yd.^2$

Step-by-step explanation:

Area of a square: $a^2$ = $a*a$

$A = a^2\\\\A = \frac{3}{4}* \frac{3}{4}\\\\A = \frac{9}{16}$

Therefore, the answer of the scarf is $\frac{9}{16}\ yd.^2$

Hope this helps!

8 0

2 years ago

Choose the polynomial written in standard form.(check image)

Stella [2.4K]

Answer: x⁴y² + 4x³y + 10x²

This is in standard form because the terms are ordered from the highest degree to the lowest and the individual variables' powers are also decreasing from the left to right.

Step-by-step explanation:

4 0

2 years ago

Select all that apply.

julia-pushkina [17]

Answer:

10/15 8/12 14/21

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Dan had 7 dimes in his bank his dad gave him 9 more dimes how many dimes does Dan have now

timofeeve [1]

Answer:

16 dimes

Step-by-step explanation:

He already has 7, and got 9 more, so we can add 7 and 9

7+9 =16

So, Dan has 16 dimes now

Hope this helps! :)

3 0

3 years ago

What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?

ElenaW [278]

First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
Sn = n*(151+(-14n+165))/2
S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
S26 = -624

The final answer here is choice C) -624

5 0

3 years ago