9. Alan invests £425 in a savings account paying 4.14% compound interest.

A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al

ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

$A=\dfrac{1}{2}\times base\times height$

In a right angle triangle, the area of the triangle is

$A=\dfrac{1}{2}\times leg_1\times leg_2$

Putting A=18 and $leg_1=6$ , we get

$18=\dfrac{1}{2}\times 6\times leg_2$

$18=3\times leg_2$

Divide both sides by 3.

$\dfrac{18}{3}=leg_2$

$6=leg_2$

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0

2 years ago

Which of the following equations best describe this relation?

Ostrovityanka [42]

Answer:

B.) C= 3n-2

Explanation:

6 0

2 years ago

Read 2 more answers

PLEASEEEEE HELPPPP IM BEGGING SOMEONE PLEASEEEEEEEE

Serjik [45]

Answer:

Step-by-step explanation:

answer is 98 degree because the relation between missing angle and 98 degree is alternate exterior angles and alternate exterior angles are always equal.

answer is 89 degree because the relation between missing angle and 89 degree is corresponding angles and corresponding angles are always equal.

5 0

3 years ago

Read 2 more answers

Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not

denpristay [2]

Answer:

i think its D.

A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:

5 0

2 years ago

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago