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4 years ago

What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units?

Mathematics

1 answer:

nata0808 [166]4 years ago

7 0

Answer:

Step-by-step explanation:

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A=A^2-3(2/5bh) solve for h

Alexandra [31]

Answer:

$h=\frac{5}{6b}(A^2-a)$

Step-by-step explanation:

we have

$a=A^2-3(\frac{2}{5}bh)$

Solve for h

To "solve" means to find the value of a variable for which this equation is true

Isolate the variable h

Multiply by -1 both sides

$-a=-A^2+3(\frac{2}{5}bh)$

Adds A^2 both sides

$A^2-a=\frac{6}{5}bh$

Multiply both sides by 5/6

$\frac{5}{6}(A^2-a)=bh$

Divide by b both sides

$h=\frac{5}{6b}(A^2-a)$

6 0

4 years ago

A textbook store sold a combined total of 219 history and chemistry textbooks in a week. The number of chemistry textbooks sold

cluponka [151]

Answer:

132 history textbooks, 87 chemistry textbooks

Step-by-step explanation:

$C + H = 219\\C = H - 45\\$

$1. H - 45 + H = 219\\2. 2H = 264\\3. H = 132$

H = 132,

C = 132 - 45 = 87

7 0

4 years ago

Read 2 more answers

Can somebody please help me find the volume of this triangular prism?

Bas_tet [7]

Check the picture below.

the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus

$\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216$

8 0

3 years ago

Thirty- six shirts were on sale for 2/3 of the regular price of the sale price of each shirt was 30 what was the regular price?

Vika [28.1K]

First change 2/3 into a decimal: .67. Then divide 30 by .67: 44.77. Round it: 44.77 = 45. Each shirt was $45 :)

5 0

3 years ago

One month Lucy rented 9 movies and 7 video games for a total of $65 . The next month she rented 3 movies and 5 video games for a

postnew [5]

You would answer this question using simultaneous equations, so if m is movies and v is video games, then:
9m + 7v = 65
3m + 5v = 37

9m + 7v = 65
9m + 15v = 111
(minus)
-8v = -46
÷ -8
v = $5.75
Then you can substitute the value of V in to find the value of m, so:
3m + (5 × 5.75) = 37
3m + 28.75 = 37
- 28.75
3m = 8.25
÷ 3
m = 2.75
So you get the answers as Video Games are $5.75 each and Movies are $2.75 each, I hope this helps!

4 0

3 years ago