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2 years ago

Find the area of the isosceles triangle.

Mathematics

1 answer:

kogti [31]2 years ago

5 0

Answer:

The hight length : h

The base length : a

Apply the Pythagorean theorem in the right triangle :

h² = 13² - (10/2) = 144

h = √144 = 12 cm

S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²

Step-by-step explanation:

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yawa3891 [41]

The answer for the first on 8 and the second one is 9

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3 years ago

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What is the vertex for the following quadratic? f(x)=2(x - 4)^2 -8

Ghella [55]

Answer:

vertex = (4, - 8 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 4)² - 8 ← is in vertex form

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3 years ago

Simplify (5^1/3)^3.

pentagon [3]

Answer:

The correct option is C. 5

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5$

Step-by-step explanation:

Simplify

$(5^{\dfrac{1}{3})^{3}=?$

Solution:

Using Identity

$(x^{a})^{b}=x^{(a\times b)}$

So in the given expression

$x = 5\\a=\dfrac{1}{3}\\\\b=3$

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5$

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5$

6 0

2 years ago

Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.

nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

$A(t) = A(0)(1 + rt)$

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

$A(t) = A(0)(1 + rt)$

$3067.08 = 3000(1 + 0.5r)$

$1 + 0.5r = \frac{3067.08}{3000}$

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

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1 year ago

Please help me this is urgent! Both need an answer.

dolphi86 [110]

My answer is B and A that's my answer

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3 years ago