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3 years ago

What is the area of this triangle?

Mathematics

1 answer:

crimeas [40]3 years ago

8 0

Answer: $54cm^{2}$

The area of a triangle is given by:

$A_{triangle}=\frac{(b)(h)}{2}$

Where:

$b=9cm$ is the base of this right triangle

$h=12cm$ is the height of the triangle

Substituting the known values:

$A_{triangle}=\frac{(9cm)(12cm)}{2}$

Finally, the area of this triangle is:

$A_{triangle}=54cm^{2}$

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Robert bought X pounds of potatoes for $1.99 per pound. He paid for the potatoes with a $10 bill. Which of the following variabl

LUCKY_DIMON [66]

First, we have to figure out the expression for the total price of potatoes. We find that by multiplying the price of potatoes per pound by how many pounds were bought. Robert bought x pounds of potatoes at $1.99 per pound. This can be written as:

$1.99x

Next, we have to find the equation for Robert's change. Change is defined as amount paid minus cost. In this scenario, Robert paid $10, and we already know the cost is $1.99x. So using this information, we can now write the equation:

$10 - $1.99x

So the answer is a.

8 0

3 years ago

P=$222 r=12% Y=10 A=?

sergey [27]

To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
I = Interest

or you can use

A = P (1+ rt)

Where: P = principal
r = rate in decimal
t = time in years

With your given you can use the second one, without having to use the first.
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12.

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
= $222(1 + (0.12)(10))
= $222(2.2)
= $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
= $488.40 - $222
= $266.40

$266.40 is the added interest to the principal amount.

7 0

3 years ago

If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

So, no option is correct. And the answer is

$T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

Learn more about linear transformations here-

brainly.com/question/13005179

#SPJ10

5 0

2 years ago

If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that

lions [1.4K]

Answer:

b) 25/100 x 79

= 19.75

= 79 - 19.75

= $59.25 (before tax)

7/100 x 59.25

= 414.75/100

= 4.15

= 59.25 + 4.15

= $63.4 (after adding tax)

First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What error was made? -4(6 - b) = 4 -24 - 4b = 4 -4b = 28 b = -7

lisov135 [29]

Answer:

step 2; a negative times a negative = a positive.

Step-by-step explanation:

-4(6-b)=4

-24 +4b=4

4b=28

b=7

3 0

3 years ago