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3 years ago

A right triangle has a leg of 12 cm and a hypotenuse of 16 cm what is the length of the other leg

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

6 0

The length of the other leg is 12 cm

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Find the area of each figure

Anon25 [30]

Area of trapezoid = a + b/2 * h
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2

Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2

7 0

3 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago

At a sale this week, a table is being sold for $201 . This is a 33% discount from the original price. What is the original price

Artemon [7]

The Answer is $609; is the original price

3 0

2 years ago

Read 2 more answers

Scale a rectangle that has length 9 inches and width 17 inches by the scale factor determine the dimensions of the scaled rectan

emmasim [6.3K]

Answer:

The dimensions of the scaled rectangle are

$6.3\ in$ of length by $11.9\ in$ of width

Step-by-step explanation:

we know that

The scale factor is equal to $70\%$

Remember that

$70\%=70/100=0.70$

The scale factor is less than 1

the dilation is a reduction

To find the dimensions of the scaled rectangle multiply the dimensions of the original rectangle by the scale factor

$9*0.7=6.3\ in$

$17*0.7=11.9\ in$

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3 years ago

Use the commutative property of multiplication to write a related number sentence

Feliz [49]

12 rows of 2 also model a product of 24; 2 × 12 = 24; 12 × 2 = 24. Use Two-Color Counters to build each model. Write number sentences that show the Commutative Property of Multiplication. Using Two-Color Counters, model the Commutative Property of Multiplication for each pair of factors.

7 0

3 years ago