All categories

3 years ago

Solve this problem. What is x?

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

a^2 + b^2 = c^2

a^2 = 6^2 + √117^2

a^2 + 36 = 117

a^2 = 117 - 36

a^2 = 81

a = √81

a = 9

x = 9

You might be interested in

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0

3 years ago

Read 2 more answers

Hello help me with this question thanks in advance

AfilCa [17]

<h2>Question #22 Answer</h2>

B. 2 in.

<h3>Explanation:</h3>

$\frac{3\times4}{6}$

Cross out the common factor

$\frac{4}{2}\\ 2$

________________________________________________________

<h2>Question #23 Answer (Picture attached)</h2>

D. proportional, equal

<h3>Explanation:</h3>

$Two\ figure\ are\ sand\ to\ \\ be\ similar\ if\ the\\ Conesesponding\ sides\ we\\ proportional\ and\ the\\ Corresponding\ ongles\ are\\ equal.$

$If\ triangle\$ Δ $ABC\ is\ similar\ to$
Δ × $yz.\ Thes$
$\frac{AB}{xy}=\frac{AC}{xz}=\frac{BC}{yz}$

$and$

$< A= < X,\ < B= < y\ and\ < C= < z$

5 0

3 years ago

Maria mixes 1/4 cup of white sugar and 2/3 cup of brown sugar, to make a topping for some muffins. She uses 1/12 cup of the mix

Sergeu [11.5K]

Maria can top 11 muffins.

7 0

3 years ago

Write the equation of the line shown.

defon

4,5 is the answer I think

6 0

3 years ago

Help. How do you do this?

Oxana [17]

Answer:

x= 2√7

y= 2√7

Step-by-step explanation:

Please see attached picture for full solution.

sin angle= opp/hyp

cosine angle= adj/hyp

6 0

3 years ago