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3 years ago

13

Is the following shape a square? How do you know?

2 answers:

Basile [38]3 years ago

7 0

Answer:

B

Step-by-step explanation:

bogdanovich [222]3 years ago

7 0

Answer:

no the sides are not congruent aka B

Step-by-step explanation:

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WhiThree-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

vesna_86 [32]

Answer:

The total members in the Spanish Club = 50

Step-by-step explanation:

Let the total members in the Spanish Club = x

Now, number of girls in the club = 30

Three-fifths of the members are girls.

⇒ $(\frac{3}{5} )$ of total members x = 30

or, $(\frac{3}{5}) \times x = 30\\$

Now, solving for x, we get:

$x = 30 \times\frac{5}{3} = 50$

or, x = 50

Hence,the total members in the Spanish Club = 50

7 0

3 years ago

Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)

Paladinen [302]

Answer:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

Step-by-step explanation:

Let the numbers be $x, y\ and\ z.$

Such that:

$x + y + z = 140$

Make z the subject

$z = 140 -x - y$

For their product to be maximum, we have:

$f(x,y,z) = xyz$

Substitute $z = 140 -x - y$ in $f(x,y,z) = xyz$

$f(x,y) = xy(140 - x - y)$

Open bracket

$f(x,y) = 140xy - x^2y - xy^2$

Differentiate w.r.t x and y

$f_x=140y - 2xy - y^2$

$f_y=140x - x^2 - 2xy$

Since the products are maximum, then $f_x = f_y = 0$

For $f_x=140y - 2xy - y^2$

$140y - 2xy - y^2 = 0$

Factorize:

$y(140 - 2x - y) = 0$

Split

$y = 0\ or\ 140 - 2x - y = 0$

Make y the subject

$y = 0\ or\ y = 140 - 2x$

For $f_y=140x - x^2 - 2xy$

$140x - x^2 - 2xy = 0$

---------------------------------------------------

Substitute y = 0

$140x - x^2 -2x*0 = 0$

$140x - x^2 = 0$

Factorize

$x(140 - x)= 0$

$x = 0\ or\ 140-x = 0$

$x = 0\ or\ x = 140$

---------------------------------------------------

Substitute $y = 140 - 2x$

$140x - x^2 - 2xy = 0$

$140x - x^2 - 2x(140 - 2x) = 0$

$140x - x^2 - 280x + 4x^2 = 0$

Re-arrange

$4x^2 -x^2 +140x - 280x = 0$

$3x^2 -140x = 0$

Factor x out

$x(3x - 140) = 0$

Divide through by x

$3x - 140 = 0$

$3x = 140$

$x = \frac{140}{3}$

Recall that: $y = 140 - 2x$

$y = 140 - 2 * \frac{140}{3}$

$y = 140 - \frac{280}{3}$

Take LCM

$y = \frac{140*3-280}{3}$

$y = \frac{140}{3}$

Recall that:

$z = 140 -x - y$

$z = 140 - \frac{140}{3} - \frac{140}{3}$

Take LCM

$z = \frac{3 * 140- 140 - 140}{3}$

$z = \frac{140}{3}$

Hence, the numbers are:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

8 0

3 years ago

Which of the expressions are equivalent to the one below? 7x(6+3)

frosja888 [35]

A. Is the answer
Hope this helped :)

5 0

3 years ago

Based on data in the table, which of the four

andre [41]

The correct option is D) Nosema ceranae.

The pathogen Nosema ceranae infected the highest percentage of honeybee colonies without colony collapse disorder.

<h3>What is Nosema Ceranae pathogen?</h3>

The microsporidian Nosema ceranae is a tiny, unicellular parasite that mostly infests Apis cerana, the Asiatic honey bee. The most common disease affecting adult honey bees, nosemosis is also caused by Nosema apis.

The Nosema Ceranae pathogen infected 81 percent of colonies without colony collapse disorder, according to the fourth row in the table.

Compared to the other pathogens' infection rates of 76, 48, and 5 percent, this is the greatest.

To know more about colony collapse disorder, visit: brainly.com/question/24825576

#SPJ4

8 0

2 years ago

What is an equivalent expression for 2/9 - 1/5

kipiarov [429]

10/45 - 9/45 is what i would think someone can fact check though.

5 0

3 years ago

Read 2 more answers