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True [87]
3 years ago
7

192.5=1/2(26+12.5)h. What is the unknown measure

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=12.5\\ b=26\\ A=192.5 \end{cases}\implies 192.5=\cfrac{h(12.5+26)}{2} \\\\\\ 385=h(12.5+26)\implies 385=38.5h\implies \cfrac{385}{38.5}=h\implies 10=h

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Can someone help me and do it step by step
Tema [17]

Answer:

4

Step-by-step explanation:

65-25=40

40/10=4

6 0
3 years ago
What is the value of the discriminant?<br> 2K2 = 10k - 2
Phoenix [80]

Answer:

84

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0

Then the discriminant is Δ = b² - 4ac

2k² = 10k - 2 ( subtract 10k - 2 from both sides )

2k² - 10k + 2 = 0 ← in standard form

with a = 2, b = - 10 and c = 2, thus

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7 0
3 years ago
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 myster
Alborosie

Answer:

37.2 = 38

Step-by-step explanation:

After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.

3 0
3 years ago
Simplify
OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}

we need to simplify that

x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)

so we can continue

\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}

and we can put all together

\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}

3 0
3 years ago
Which letter on the number line represents 4.55? <br> F<br><br> E<br><br> D<br><br> C
REY [17]

Answer:

F

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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