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3 years ago

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7

2 answers:

8 0

I hope this helps you

isosceles right triangle angles 45-45-90

base=7

height=7

hypotenuse=7 square root of 2

hypotenuse ~9,87

hammer [34]3 years ago

4 0

8?
because 7 to the nearest tenth is 8?

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Population Growth The population of a town of 5000

Nesterboy [21]

Answer:

a) $A=5000{(1.03)}^{t}$

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

$A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)$

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of t.

$A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}$

b) Apply the formula:

$A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464$

The town will have 5464 inhabitants.

5 0

3 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

3 years ago

Which transformation from the graph of a function f(x) describes the graph of g(x) =10f(x)

Elanso [62]

Multiplying a function by a constant factor (10 in this example) stretches the graph relative to the x-axis. If f(x) would be a sine, you would blow up the amplitude from -1..+1 to -10..+10.

8 0

3 years ago

3(2x+14)divided by w-y if w=8,x=5,y=1 how do i solve this

Viktor [21]

$\frac{3 (2x + 14)}{w - y}$
$w = 8, x = 5, y = 1$

You have to first substitute every variable into its spot in the equation.

 $\frac{3 (2x + 14)}{w-y}$
 $\frac{3 (2*5 + 14)}{8 - 1}$

Then solve.

$\frac{3 (28)}{7} = \frac{84}{7} = 12$

3 0

3 years ago

The product of a number and 9 less than the number is 90. find the number.

Arte-miy333 [17]

Factors of 36 that differ by 9 are 12 and 3;
12*3 = 36 
Or you could write x(x - 9) - 36 = (x - 12)(x + 3) = 0 
The number was 12

5 0

3 years ago