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3 years ago

Plz help me with this

Mathematics

2 answers:

forsale [732]3 years ago

5 0

Answer:

$\frac{31x}{30}$

Step-by-step explanation:

Before adding we require the fractions to have a common denominator

The lowest common denominator of 2, 5 and 3 is 30, thus

$\frac{15x}{15(2)}$ + $\frac{6x}{6(5)}$ + $\frac{10x}{10(3)}$

= $\frac{15x}{30}$ + $\frac{6x}{30}$ + $\frac{10x}{30}$

Add the numerators leaving the denominator

= $\frac{15x+6x+10x}{30}$ = $\frac{31x}{30}$

wariber [46]3 years ago

3 0

Answer: $\bold{c)\quad \dfrac{31x}{30}}$

<u>Step-by-step explanation:</u>

$\dfrac{x}{2}+\dfrac{x}{5}+\dfrac{x}{3}\\\\\text{The LCD of 2, 5, and 3 is }2\cdot 5\cdot 3=30\\\text{Multiply each term so their denominator is 30:}\\\\\\\dfrac{x}{2}\bigg(\dfrac{15}{15}\bigg)+\dfrac{x}{5}\bigg(\dfrac{6}{6}\bigg)+\dfrac{x}{3}\bigg(\dfrac{10}{10}\bigg)\\\\\\=\dfrac{15x}{30}+\dfrac{6x}{30}+\dfrac{10x}{30}\\\\\\=\dfrac{15x+6x+10x}{30}\\\\\\=\large\boxed{\dfrac{31x}{30}}$

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Kapil's robot starts 70cm from its charging base. It faces the base, then turns 60 degrees clockwise, as shown. Finally, the rob

Semmy [17]

The distance of the robot from the charging base is gotten as; 62 cm

<h3>How to use Cosine Rule?</h3>

From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.

The distance of the robot from the charging base is gotten by;

h = x² + b² - 2xb cos 60

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h = 62 cm

Read more about Cosine Rule at; brainly.com/question/4372174

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4 0

1 year ago

Please Help! Thanks!

svetlana [45]

Answer:

C, 20 units

Step-by-step explanation:

We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).

By AA Similarity, we know that triangle QTR is similar to triangle QRS.

With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.

Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.

Finally, we set these two ratios equal to each other:

$\frac{x}{25} =\frac{16}{x}$