All categories

2 years ago

Help! Please look at the pic and help me!

Mathematics

2 answers:

inna [77]2 years ago

5 0

Answer:

Step-by-step explanation:

equilateral triangle has all sides So,

perimeter = a+b+c= 12+12+12=36

vladimir2022 [97]2 years ago

5 0

Answer: 36

Equilateral triangles are the same length on every side, since the size of 1 side was given (12) you multiply by 3 (number of sides)
12•3=36

You might be interested in

Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

3 years ago

Can somebody help me on this

kompoz [17]

I think the answer is A

8 0

3 years ago

Read 2 more answers

One of the rows in the table has an error and does not have the same ratio as the other rows. Which explains how to correct the

hram777 [196]

Row 1 3 ft 91.44 cm
The ratio is 91.44 cm/ 3 ft = 30.48 cm/ft

Row 2 6 ft 172.88 cm
The ratio is 172.88 cm / 6 ft = 28.81 cm/ft which ius not the same as 30.48 cm/ft.

Row 3 7 ft 213.36 cm

The ratio is 213.36 cm/ 7 ft = 30.48 cm/ft, which is the same as the first ratio.

Since 2 rows have the ratio 30.48 cm/ft, this ratio is correct. The ratio 172.88 cm / 6 ft is incorrect.

6 ft * 30.48 cm/ft = 182.88 cm

Answer: 
B.Row 2 should show 6 feet is equivalent to 182.88 centimeters.

4 0

3 years ago

Read 2 more answers

What is the product of −214 and −412?

nlexa [21]

-214 x -412 = 88,168

“Product” means the answer you get from multiplying two or more numbers together.
* Tip: A negative number times another negative number equals a positive.

Hope this helps!

8 0

3 years ago

You and your friend are comparing two loan options for a $165,000 house. Loan 1 is a 15-year loan with an annual interest rate o

Harlamova29_29 [7]

Answer:

No, he is wrong.

Step-by-step explanation:

Since, the total payment of a loan after t years,

$A=P(1+r)^t$

Where,

P = present value of the loan,

r = rate per period ,

n = number of periods,

Given,

P = $165,000,

In loan 1 :

r = 3% = 0.03, t = 15 years,

So, the total payment of the loan is,

$A_1 = 165000(1+0.03)^{15}=165000(1.03)^{15}\approx \$ 257,064.62$

In loan 2 :

r = 4% = 0.04, t = 30 years,

So, the total payment of the loan is,

$A_2 = 165000(1+0.04)^{30}=165000(1.04)^{30}\approx \$ 535,160.59$

Since, $A_1 < A_2$

Hence, total amount repaid over the loan will be less for Loan 1.

That is, the friend is wrong.

7 0

2 years ago