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3 years ago

The area of the square is 27 cm. What is the perimeter of the triangle?

Mathematics

2 answers:

Ede4ka [16]3 years ago

7 0

Answer:24

Step-by-step explanation:3x9=27

3+3=6

9+9=18

18+6=24

Svet_ta [14]3 years ago

3 0

$\huge\bigstar\:$ $\Huge\tt\underline\blue{ANSWER}$

729² ( area of rectangle )

$\huge\bigstar\:$ $\Huge\tt\underline\blue{EXPLAINATION}$

We know,

Area of square = Side×Side

= 27×27

= 729cm²

●▬▬▬▬๑۩۩๑▬▬▬▬▬●

$\huge\bigstar\:$ $\Huge\tt\underline\blue{ANSWER}$

Now, Perimeter of a triangle

Side + Side + Side

<h2>ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ ......</h2>

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A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure anti

Dimas [21]

Answer:

42 gallons 45% antifreeze

28 gallons 95% antifreeze

Step-by-step explanation:

If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:

x + y = 70

And the total amount of antifreeze is:

0.45 x + 0.95 y = 0.65 (70)

Solving by substitution:

0.45 x + 0.95 (70 − x) = 0.65 (70)

0.45 x + 66.5 − 0.95 x = 45.5

21 = 0.5 x

x = 42

y = 28

7 0

3 years ago

Exponential function f(x) has a y intercept of 3 and an x intercept of -2. the function is always increasing as the value of x i

Kisachek [45]

Answer:

$f(x)=-\left(\dfrac{1}{2}\right)^x+4$

The exponential function is increasing and is concave down

Step-by-step explanation:

Let the equation of exponential function be

$f(x)=a\cdot b^x+c,\ ,\ b>0$

1. Exponential function f(x) has a y intercept of 3, so the graph of f(x) passes through the point (0,3). Thus,

$3=a\cdot b^0+c\\ \\3=a+c$

2. Exponential function f(x) has an x intercept of -2, so the graph of f(x) passes through the point (-2,0). Thus,

$0=a\cdot b^{-2}+c\\ \\0=\dfrac{a}{b^2}+c$

3. Function is always increasing as the value of x increases, but the function never reaches y=4, so

$c=4$

Hence,

$\left\{\begin{array}{l}a+4=3\\ \\\dfrac{a}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\\dfrac{-1}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\b^2=\dfrac{1}{4}\end{array}\right.$

So,

$a=-1,\\ \\b=\dfrac{1}{2},\\ \\c=4,\\ \\f(x)=-\left(\dfrac{1}{2}\right)^x+4$

7 0

4 years ago

One number is eight more than three times another number. If the sum of the numbers is 28, find the numbers.

ehidna [41]

Hi,

You can write your problem as:

x = 8 + 3y
x + y = 28

So

(8 + 3y) + y = 28
4y = 28 - 8
4y = 20
y = 20/4 = 5

x + y = 28
x + 5 = 28
x = 28 - 5 = 23

The numbers are 23 and 5.

Hope this helps! If my answer was not clear enough or you’d like further explanation please let me know. Also, English is not my first language, so I’m sorry for any mistakes.

5 0

4 years ago

You decide finance a $12,000 car at 3% compounded monthly for 4 years. What will your monthly payments be? How much interest wil

dexar [7]

Answer:

Step-by-step explanation:

The cost of the car is $12,000

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the cost of the car

r represents the interest rate

n represents number of monthly payments. Therefore

a = 12000

r = 3%/12 = 0.03/12 = 0.0025

n = 12 × 4 = 48

Therefore,

P = 12000/[{(1+0.0025)^48]-1}/{0.0025(1+0.0025)^48}]

12000/[{(1.0025)^48]-1}/{0.0025(1.0025)^48}]

P = 12000/{1.127 -1}/[0.0025(1.127)]

P = 12000/(0.127/0.0028175)

P = 12000/45.075

P = $266.22

The monthly payment is $266.22

The total amount that would be paid over the life of the loan is

266.22 × 48 = $12778.56

The amount of interest paid is

12778.56 - 12000 = $778.56

3 0

3 years ago

A circle has a radius of 3. An arc in this circle has a central angle of 60°.

MArishka [77]

Answer:

Step-by-step explanation:

s = (∅/360) * (2πr)

s = (60/360) * (2π*3)

s = (1/6) * (6π)

s = π

8 0

3 years ago