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Cerrena [4.2K]
3 years ago
5

Question 12 (5 points) Find the value x in the figure below and write your answer below.

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

Answer:

48

Step-by-step explanation:

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A recipe for fruit salad includes 1/5 cup of grapes for 3 servings. How many cups of grapes are needed for 50 servings of this f
choli [55]

Answer:

300 is your answer

Step-by-step explanation:

6 0
3 years ago
Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source. The total capacitive reactance is _____.
muminat

<u>Answer</u>-

<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>

<u>Solution-</u>

Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.

The effective/equivalent capacitance of the circuit is,

C=20+30=50\ mF

As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.

We know that,

X_c=\dfrac{1}{2\pi fC}

Where,

X_c = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

X_c = ??

f = 400 Hz

C = 50 mF = 50\times 10^{-6} F

Putting the values in the formula,

X_c=\dfrac{1}{2\pi \times 400\times 50\times 10^{-6}}

X_c=\dfrac{10^{6}}{40000\pi}

X_c=7.96\ \Omega

Therefore, the total capacitive reactance of the circuit is 7.96 Ω.

5 0
4 years ago
What is a necessary step for constructing perpendicular lines through a point off the line?
mixas84 [53]

Draw arcs on either side of a given point on the line

To construct a line perpendicular to another line through a point on the line:

Measure a length from that point to one edge of the line

Draw two intersecting arcs on either sides of the line

Draw a straight line from the intersecting point of the arcs to the point on the existing line.

The new line drawn is a perpendicular line.

The only step necessary out of the given choices is "Draw arcs on either side of a given point on the line"

Option C is the correct choice

Learn more here: brainly.com/question/929137

7 0
3 years ago
Read 2 more answers
In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is
Makovka662 [10]

Answer:

P(sister) =  \frac{8}{30}  \\

Step-by-step explanation:

P(sister) =  \frac{8}{30}  \\ P(brother) =  \frac{13}{30}  \\ P(SnB) =  \frac{3}{30}  \\

5 0
3 years ago
Which is true about the completely simplified difference of the polynomials a3b 9a2b2 − 4ab5 and a3b − 3a2b2 ab5?.
PtichkaEL [24]

The simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

Let's simplify the two of the given polynomials, therefore, find the difference between the two given polynomials.

a^3b+9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2+ab^5)\\\\= a^3b+9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2-ab^5\\\\\text{Bring Like terms together}\\\\=a^3b - a^3b+9a^2b^2+3a^2b^2 -4ab^5-ab^5\\\\= 12a^2b^2-5ab^5

Hence, the simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

Learn more about Like Terms:

brainly.com/question/2513478

5 0
2 years ago
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