Given an equilateral triangle with a perimeter of 18, find the altitude.

Answer:

18 oz

Step-by-step explanation:

Choco Chip Cookies (15 oz): \(\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}\)

Choco Chip Cookies (18 oz): \(\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}\)

So, the 18oz package is the better buy by about \(\$0.005\)

93 rats can be anticipated in the park now.

In 2015, there were 310 rats that were counted living in a park.
the rats and the population decreased by 70%

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Since rat decreased by 70 %,

= 310 x 70 / 100
= 217
Now the decrease in rats = 310 - 217
anticipated rats in the park  = 93

Thus the 93 rats can be anticipated in the park now.

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Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).

A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Let

\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)

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Answer:

\(a_1=\frac{39}{8}; \ d=-\frac{1}{4}.\)

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

\(\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.\)

4) finally: the first term is '39/8', the difference is '-1/4'.

Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Answer:

5/12

Step-by-step explanation:

a foot =12 inches

fraction of 5 inches=5/12

Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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The equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true. which is the correct answer would be options (A), (B), (D), and (E).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A. 66 ÷ 10  = 6.6

66/10 = 6.6

This is the true equation.

B. 660 ÷ 10 = 66

660/10 = 66

This is the true equation.

C. 6,600 ÷ 1,000 = 0.66

This is not the true equation.

D. 0.66 ÷ 10 = 0.066

This is the true equation.

E. 6 ÷ 100 = 0.06

This is the true equation.

Thus, the equations 66 ÷ 10  = 6.6, 660 ÷ 10 = 66, 0.66 ÷ 10 = 0.066, and 6 ÷ 100 = 0.06 are true.

Hence, the correct answer would be options (A), (B), (D), and (E).

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Answer:

7 schools have fewer than 50 classrooms.

Answer:

25%

Step-by-step explanation:

add both kinds of tickets first to get the total

24 early admission + 72 regular = 96 total tickets

then divide 24 early tickets by 96 total tickets to get the decimal, then multiply by 100 to get percent

\(\frac{24}{96} = 0.25 * 100 = 25\)%

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

25 pages

Step-by-step explanation:

We know that Zakarya can read 5 pages in 8 minutes. First we divided 40 by 8, to see how many times of 8 she reads. She reads for 8 five times (40 minutes). We can multiply 5 (number of 8 minutes she reads) times 5 (pages she reads every 8 minutes) to get 25. She reads 25 pages in 40 minutes. Please tell me if this is wrong or makes no sense :).    

Here is one way to show that the left side is identical to the right side.

\(\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\\)

Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.

Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".

Answer:

me neither bro

Step-by-step explanation:

Answer:

y=1/3x+4

Step-by-step explanation:

It should be correct as the gradient = 1/3

and the y-intercept = C

= +4

Answer:

11

Step-by-step explanation:

3 x 4 ÷ 6 + 3²

multiply 3 and 4 to get 12

\(\frac{12}{6}\)+3²

divide 12 by 6 to get 2

2+3²

find 3 to the power of 2 to get 9

2+9

Add 2 and 9 to get 11

11

hope this helps!

Answer:

8/125

Step-by-step explanation:

Eight over one hundred twenty five

Answer:

(1,6)

Step-by-step explanation:

Because reflecting to x axis u change the position

Answer:

Step-by-step explanation:

4x² + 76 = 32

4x² = -44

x² = -11

but x² must be non-negative, so there is no real solution.

Answer: 18,4pi, 14

I think

Step-by-step explanation:

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

\(\huge\boxed{\sf Slope = \frac{-4}{5} }\)

Step-by-step explanation:

Pick up any  2 coordinates of the line.

The coordinates are (-3,1) and (2,-3)

\(\sf Slope = \frac{rise}{run} \\\\Slope = \frac{y2-y1}{x2-x1} \\\\Slope = \frac{-3-1}{2+3} \\\\\bold{Slope = \frac{-4}{5} }\)

Hope this helped!

~AnonymousHelper1807

Answer:

-4/5

Step-by-step explanation:

Pick two points on the line

(2,-3) and (-3,1)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1--3)/(-3-2)

    = (1+3)/(-3-2)

   = 4/-5

  = -4/5

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

Wouldn’t negative 9 be the inequality because its less than 2.25

Step-by-step explanation:

Hey budddy if i got this wrong im soooooo, sorry

=>3x+5+x-25=180

=>3x-20+x=180

=>4x-20=180

=>4x=200

=>x=50°

=>(3x+5)°=(3×50+5)°=155°

=>(x-25)°=(50-25)°=25°

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)