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3 years ago

Please answer if possible

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

$A$ ≈ $127.39$ $ft^{2}$

Step-by-step explanation:

$A = a^{2}+2a\sqrt{\frac{a^{2}}{4}+h^{2} }$

a (base edge) = 6

h (height) = 7

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Find the measure of the sides of angle ABC with vertices A(1,5), B(3,-2), and C(-3,0). Classify the triangle

Charra [1.4K]

Answer:

$AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle$

Step-by-step explanation:

The distance between two points $(x_1,y_1),\ (x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

Here $A(1,5),\ B(3,-2),\ C(-3,0)$ are the vertices of a triangle.

$AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit$

Longest side $=AB$

$AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2$

Hence this is an acute triangle.

6 0

3 years ago

Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and ho

k0ka [10]

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

<h3>Given:-</h3>

$\bullet$ Principal (P) = $10,500

$\bullet$ Rate of interest (r) = 4%

$\bullet$ Time (t) = 3 years

Interest of Donna and amount of car altogether.

<h2>Solution:-</h2>

We know,

${ \boxed{\rm \red {I \: = \frac{Prt}{100}}}}$

$\therefore$ I = $\frac{10,500 \: × \: 4 \: × \: 3}{100}$

I = $\frac{126,000}{100}$

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

<h3><u>$</u><u>1</u><u>2</u><u>6</u><u>0</u> interest would Donna pay and <u>$</u><u>1</u><u>1</u><u>,</u><u>7</u><u>6</u><u>0</u> is the car altogether. [Answer]</h3>

7 0

3 years ago

Read 2 more answers

ANSWER NEEDED NOW!!!

Sunny_sXe [5.5K]

Answer is A i hope it helps