In a triangle ABC, which is the longest side if:

Tcecarenko [31]

<h2>Answer:</h2><h2>1.06</h2>

Solution,

9x/7-6x=15

or,9x=15(7-6x)[ cross multiplication]

or,9x=105-90x

or,9x+90x=105

or,99x=105

or,X=105/9

X=1.06

Hope it helps

Good luck on your assignment

5 0

4 years ago

A table.Short description, A table.,Long description, Sandwich Fat (in grams) Calories Hamburger 18 390 Cheeseburger 25 430 Baco

Oxana [17]

Using it's concept, it is found that the range of fat grams for the five sandwiches is of 24 grams.

<h3>What is the range of a data-set?</h3>

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the sandwich with the least fat has 9 grams and the one with the most has 33 grams, hence the range is given by:

R = 33 - 9 = 24 grams.

More can be learned about the range of a data-set at brainly.com/question/24374080

#SPJ1

5 0

3 years ago

a cookie baker has an automatic mixer that turns out a sheet of dough in the shape of a square 12 inches wide. His cookie cutter

iragen [17]

Answer:

All the sizes that satisfy $kd^2 =144$

Step-by-step explanation:

To answer this question we first need to find the minimum wasted area of the dough.

Let us call the diameter of the cookie $d$ , and $a$ the length of the dough sheet, then the $n$ number of cookies that fit into length $a$ will be

$n = \dfrac{a}{d}$

and therefore, the number that will fit into the whole square sheet will be

$n^2 = \dfrac{a^2}{d^2}$

Since the area of each cookie is

$A = \pi \frac{d^2}{4}$

the area of n^2 cookies will be

$A_n = n^2\pi \frac{d^2}{4}$ ,

which is the area of all the cookies cut out from the dough sheet; therefore, after the cutting, the area left will be

(1). $\text{area left}= a^2-n^2\pi \frac{d^2}{4}$

putting in the value of $n^2$ we get

$a^2- \dfrac{a^2}{d^2}\pi \frac{d^2}{4}$

which simplifies to

area left = a^2( 1 - (π/4))

putting in a = 12 we get

area left = 30.902 in^2.

Going back to equation (1) we find that

a^2-n^2(πd^2/4) =30.902

12^2- n^2(πd^2/4) =30.902

and if we call k = n^2, we get

12^2- k(πd^2/4) =30.902

113.098 = k(πd^2/4)

simplifiying this gives

kd^2 = 144.

As a reminder, k here is the number of cookies cut from the dough sheet.

Hence, our cookie diameter must satisfy kd^2 = 144, meaning larger the diameter of the cookies less of the should you cut out to satisfy the above equality.

8 0

4 years ago

Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the

Irina18 [472]

Answer:

There are 1240 students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be $x.$

So, the students at Washington Middle School were on the honor roll:

25% of $x$

$=\frac{25}{100} \times x$

$=\frac{25x}{100}$

$=\frac{x}{4}$

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

$60\%\ of\ \frac{x}{4}$

$=\frac{60}{100} \times \frac{x}{4}$

$=0.6\times \frac{x}{4}$

$=\frac{0.6x}{4}$

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

$\frac{x}{4} -\frac{0.6x}{4} =124$

$\frac{x-0.6x}{4} =124$

$\frac{0.4x}{4} =124$

Multiplying both sides by 4 we get:

$0.4x=496$

Dividing both sides by 0.4 we get:

$x=1240.$

Therefore, there are 1240 students who attended Washington Middle School.

6 0

4 years ago

Solve for m -20+14m=10m+16

Kay [80]

-20+14m=10m+16
-10m. -10m
-20+4m=16
+20. +20
4m=36
/4. /4
m=9

6 0

4 years ago