What is 24-4=m(41-1)

The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How

dlinn [17]

For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
find smaller

ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative

answer is shorter side=9 cm

5 0

3 years ago

Twice the difference of three less than a number.

Veseljchak [2.6K]

Answer:

the answer would be 2(3-x)

Step-by-step explanation:

x would be the number that is given and since it says twice than 2 would be outside the parenthesis since the main equation would be inside the parenthesis

3 0

3 years ago

Use the quadratic model P(x)=25^2-24x+615 if x equals 8

Lynna [10]

P(x) = 25^2 -24x + 615
P(8) = 25(8 squared) -24(8) +615 = 2023

8 0

3 years ago

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Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0

3 years ago

Forms of money in the United States consist of paper money, coins, and _____.

Maurinko [17]

<span>The correct answer to the question "Forms of money in the United States consist of paper money, coins, and _____." is checking account balances. Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts in a particular country or socio-economic context, or is easily converted to such a form. The money supply of a country consists of currency (banknotes and coins) and bank money (the balances held in checking accounts, savings accounts, and other types of bank accounts).</span>

5 0

3 years ago

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